The requried **solutions **are as follows,

(1) the **original price **is $450. (2) the original price is $172.40.

**Sale price **is defined as the **price **of a product **marked **including of various price cut such as **discounts**.

Here,

If the percent of discount is 80% and the sale price is $90, we can use the following formula to find the original price x (let)

**Sale price = Original price - Discount**

$90 = x - 0.8x

Simplifying the right-hand side:

$90 = 0.2x

x = $450

Therefore, the original price is $450.

If the **percent **of **discount **is 15% and the sale price is $146.54, we can use the same formula:

Sale price = Original price - Discount

$146.54 = x - 0.15x

Simplifying the right-hand side:

$146.54 = 0.85x

x = $172.40

Therefore, the original price is $172.40.

Learn more about **sale price **here:

https://brainly.com/question/2984088

#SPJ9

Neeeeeed hellppppppppll

To draw a **centroid** for ΔABC, follow the steps below.

The **intersection **point of line segments CD and XY is the centroid of the ΔABC. Label this point as G.

See the sample attached. Note that this is not constructed to scale.

What is a Centroid?The **centroid** is the point where the three medians of a triangle intersect.

A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. In this case, line segment CD is one of the **medians **of **triangle **ABC because it connects the midpoint of AB (which is also the midpoint of CD) to vertex C. The other two medians connect the midpoints of the other two sides to their opposite **vertices**.

Learn more about **Centroid**:

https://brainly.com/question/10708357

#SPJ1

Fifteen gallons of gas cost $50.25. What is the price per gallon

**Answer:**

$3.35

**Step-by-step explanation:**

$50.25 ÷ 15 gallons = $3.35 a gallon

what number when divided by 15 20 30 the remainder is always 8

The **number **when **divided **by 15, 20, and 30 and the **remainder **is always 8 will be 68.

**Algebra **is the study of abstract symbols, while **logic **is the manipulation of all those ideas.

The definition of **simplicity **is making something simpler to achieve or grasp while also making it a little **less difficult**.

The number which is **divisible **by 15, 20, or 30 will be given as,

LCM of the **numbers **15, 20, and 30 will be given as,

2 | 15, 20, 30

2 | 15, 10, 15

3 | 15, 5, 15

5 | 5, 1, 5

1, 1, 1

LCM = 2 x 2 x 3 x 5

LCM = 60

The **number **whose **remainder **is always 8 is given as,

⇒ 60 + 8

⇒ 68

The **number **when **divided **by 15, 20, and 30 and the **remainder **is always 8 will be 68.

More about the **Algebra **link is given below.

https://brainly.com/question/953809

#SPJ9

A book shop advertises that they will discount their maths book by 3/8 of the retail price what would the sale price of a book with a retail of R 100 and what would be sale price of a book with a retail of R 88

The **Selling price** of a book with a retail of R 100 and R 88 will be 99.625 and 87.625 respectively.

The **selling price** of a good or service is the **final cost** to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.

It is one of the most crucial things for a business to decide. It is significant since it determines whether or not it will survive. Sales of a product are directly impacted by its price.

According to the question,

**Discount **= 3/8 of the retail price.

Now,

When retail price is 100,

**Selling price **[tex]= 100-3/8[/tex]

[tex]=99.625[/tex]

When retail price is 88.

Selling price [tex]= 88-3/8[/tex]

[tex]=87.625[/tex]

To learn more about **Selling price** visit;

https://brainly.com/question/28017453

#SPJ4

What is the slope of a line that contains the points (14,-42) (-48,24)

Enter the correct answer as m=

PLEASE SHOW WORK

The slope on the line containing the **points **(14,-42) is 1.06, as stated in the preceding sentence (-48,24).

The % slope is calculated by multiplying the distance between two locations by the differences in **elevation **above them. The difference in height between two places is referred to as "rise." The distance between it sites is known as the run. Therefore, the formula for percent slope is (rise / run) x 100.

The slope's formula is as follows:

m = (y₂-y₁)/x₂-x₁)

In the formula, replace the point values as follows:

m = (24-(-42))/(-48-14)

Make the fraction simpler:

m = (24-(-42))/(-48-14)

m = 66/-62

m = 1.06

To know more about **Slope **visit:

https://brainly.com/question/3493733

#SPJ1

2. The product of two rational numbers is 4/25

. If one number is −6/5

, find the other number.

**Answer:**

**Step-by-step explanation:**

If the product of two rational numbers is 4/25, we can write the equation:

(x) * (-6/5) = 4/25

where x is the other number.

Expanding the equation:

x * -6/5 = 4/25

Multiplying both sides by 5 to get rid of the fraction on the right-hand side:

5 * x * -6/5 = 5 * 4/25

x * -6 = 4

Dividing both sides by -6:

x = -4/-6

x = 4/6

So, the other number is 4/6.

**Answer:**

So the other number is ** -**[tex]\frac{4}{3}[/tex]**.**

**Step-by-step explanation:**

Let x be the number.

We know,

(-[tex]\frac{6}{5}[/tex]) × x = [tex]\frac{4}{25}[/tex]

-[tex]\frac{6}{5}[/tex] × x = [tex]\frac{4}{25}[/tex] (By expanding the left side of the equation)

Dividing both sides by -[tex]\frac{6}{5}[/tex]

x = - [tex]\frac{4}{25}[/tex] × -[tex]\frac{6}{5}[/tex]

After simplifying the equation ,

x = -[tex]\frac{4}{3}[/tex]

So the number is ** -**[tex]\frac{4}{3}[/tex]**.**

I need explanations under similar shapes

The two major properties of **similar** shapes include the following:

In Mathematics, two (2) **geometric shapes** are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

In Geometry, the **scale factor** of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

This ultimately implies that, two (2) similar **geometric shapes** can have different sizes depending on the **scale factor** that is applied because it would either enlarge (increase) or reduce (decrease) them.

Read more on **scale factor** here: brainly.com/question/18067651

#SPJ1

Please help I don't understand.

The **surface** area of the **sphere** is 113.2 ft².

The** area** that a sphere's **outer surface** covers in three dimensions is known as the surface area of the Sphere. A sphere is a three-dimensional solid that resembles a **circle** in shape and is round.

The formula for a sphere's total surface area is given by

Surface area = 4 π r² square unitsHere we have

The formula for the radius of a sphere r = 1/2 [√S/π]

Diameter of the Moeraki boulder radius = 3 feet

=> 3 feet = 1/2 [√S/π]

=> 6 = [√S/π]

Squaring on both sides

=> 36 = [√S/π]²

=> S/π = 36

=> S = 36π

=> S = 113.2

Therefore,

The **surface** **area **of the **sphere** is 113.2 ft².

Learn more about **surface** **area**

https://brainly.com/question/14692728

#SPJ1

I need help…………………………….

a) The **Equation **is 7.65x + 50 = 149.45.

b) The customer **used **the car for 13 **hours**.

c) If the **car** **used** for 2 **days **i.e., 48 hours then the **amount **will be $471.12

**Equations **are mathematical statements with **two algebraic** expressions flanking the **equals **(=) sign on either side.

**Coefficients**, **variables**, **operators**, constants, terms, expressions, and the equal to sign are some of the **components **of an **equation**. The "=" sign and terms on both sides must always be present when writing an equation.

Given that;

Members of a car sharing program pay a fee of $50 per month plus $7.65 for every hour they use a car.

And, a members bill was $149.45 last month.

a) Let number of hours for the customer use a car last month = x

So, 7.65x + 50 = 149.45

7.65x = 149.45 - 50

7.65x = 99.45

x = 13

b) The **customer **used the car for 13 **hours**.

c) If the car used for 2 days i.e., 48 hours

= 7.65x + 50

= 7.65(48)+ 50

= 471.2

Learn more about the **Equation **here:

https://brainly.com/question/1679555

#SPJ9

2. Choose one of the pair of starting angles in the table below::

(a = 50 degrees

y = 110 degrees)

(a= 30 degrees

b=70 degrees)

(c =30 degrees

y=120 degrees)

Please note you are only using 1 of the the selections above, and they will give different results

(a) What is the angle measurement of first unknown angle? Explain the angle relationship you used.

(b) What is the angle measurement of second unknown angle? Explain the angle relationship you used.

Hint: Remember to start with a relationship where you have one unknown.

(a) The **angle** measurement of first unknown angle is c = 80 degrees

(b) The angle **measurement **of second unknown angle is y = 110 degrees

**Trigonometry** is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled **triangle** with its angles.

(a) You can pick pair of starting angles a = 30 degrees and b = 70 degrees

The angle **measurement** of first unknown angle will be:

a + b + c = 180 (sum of angles in a triangle is 180 degrees)

c = 180 - a - b

c = 180 - 30 - 70

c = 80 degrees

(b) The **angle **measurement of second unknown angle will be:

y = 180 - b (sum of angles on a straight line is 180 degrees)

y = 180 - 70

y = 110 degrees

Learn more about **Trigonometry** on:

brainly.com/question/11967894

#SPJ1

The radius of a circle is 5 m. Find its circumference in terms of pie

Circumference = 2PiRadius

=2Pi(5)

Circumference= 31.41592653589793

=2Pi(5)

Circumference= 31.41592653589793

The t-value changes depending on the number of data points collected.

a. True

b. False

The **statement **that " t-value changes depending on the number of data points collected" is** (b) False** because t-value is a statistic that is used in hypothesis testing to determine the difference between 2 sample means is significant or not.

The** t-value **does depend on the **sample size** (number of data points) as well as the sample mean and standard deviation, but it does **not change** "depending on" the number of **data points** in the sense that the same data set will always produce the same t-value for a given statistical test.

So , it is important to note that the t-value is a **fixed value** for a given set of data, regardless of the number of data points collected.

Therefore, if the same data set is used to perform a t-test multiple times, the resulting t-value will always be** the same.**

Learn more about **t-Value** here

https://brainly.com/question/29844684

#SPJ4

Briana ha $3 in her piggy bank. She has all quarters and dimes. Write and equation in STANDARD FORM to represent this scenario. Use X and Y as your variables (Ax+By=C)

The **equation** in standard form representing the scenario where Briana has $3 in her piggy bank and has all **quarters** and dimes, using x for the number of quarters and y for the number of dimes, is [tex]25x + 10y = 300[/tex].

Let x be the number of **quarters** and y be the number of dimes Briana has in her piggy bank.

The value of each quarter is 25 cents or 0.25 dollars, and the value of each dime is 10 cents or 0.10 dollars. Therefore, the total value of the coins in **Briana's** piggy bank can be expressed as:

[tex]0.25x + 0.10y[/tex]

Since Briana has $3 in her piggy bank, we can set up the following equation:

[tex]0.25x + 0.10y = 3.00[/tex]

To write this equation in **standard** form ([tex]Ax + By = C[/tex]), we need to clear the decimals by multiplying both sides of the equation by 100:

[tex]25x + 10y = 300[/tex]

Therefore, the **equation** in standard form that represents this scenario is:

[tex]25x + 10y = 300[/tex]

Learn more about **equation** here:

https://brainly.com/question/29174899

#SPJ4

Express 0.10670.10670, point, 1067 as a fraction.

**Answer: 1067/10000 is a fraction in simplest form. where, 0.1067 is a decimal, 10.67% is a percentage.**

**Step-by-step explanation:**

Plssssss asap it is due soon

For the given system of **equations**, the answers are of the given choices **(A), (B) and (D)**.

A group of two or more **equations** with shared variables is referred to as a system of linear equations. Finding the value of the unknown variables employed in the **equations** that must satisfy both equations is necessary to solve a **system** of equations.

Given equations are -

y - 10 = 2x ⇒ y = 2x + 10

1/2y = x + 5 ⇒ y = 2x + 10

We can observe from the equation, that both the lines are same,

So any pair of values (x, y) that satisfy the **equation** y = 2x + 10 is a **solution** to the **system**. For example:

(0, 10) is a **solution**, since y = 2(0) + 10 = 10 and (1/2).10 = 0 + 5 =

(1, 12) is a **solution**, since y = 2(1) + 10 = 12 and (1/2).12 = 6 = 1 + 5

(2, -6) is a** not solution,** since y = 2(2) + 10 = 14 and (1/2)(-6) = 7 = 2 + 5

(-5, 0) is a **solution**, since y = 2(-5) + 10 = 0 and (1/2)(0) = 0

Therefore, the **answer** is of the given **choices** are** (A), (B), (D).**

To learn more about the **system of equations** visit,

brainly.com/question/25976025

#SPJ1

A student has completed 3 tests in biology class. How many points above her present test average must she

score on the fourth test in order to raise her test average 4 points?

OA. 7

OB. 9

OC. 12

O D. 16

OE. 20

The student must she score on the fourth test in order to raise her test **average **4 points is 4 points.

An **average **is a single number taken as representative of a list of numbers, usually the sum of the numbers **divided **by how many numbers are in the list.

Given that, a student has completed 3 **tests **in biology class, we need to find that how many points above her present **test average **must she score on the **fourth test** in order to raise her **test average **4 points,

Let the required point be x,

According to question,

x+4×3 / (3+1) = 4

x+12 = 16

x = 4

Hence, the student must she score on the fourth test in order to raise her test **average **4 points is 4 points.

Learn more about **average**, click;

https://brainly.com/question/24057012

#SPJ1

A moderately active 40-pound dog needs an average of 1,215 calories per day. Taryn's dog participated in a dog race this morning, so it will need more than the average calories. Taryn's dog has already eaten 729 calories, and she feeds her dog 243 calories per meal.

243x + 729 > 1,215

How many more meals does Taryn need to feed her dog today? A.

x > 3

B.

x > 243

C.

x > 729

D.

x > 2

help please its due today

The amount of extra meals that Taryn needs to feed her dog today is given by the **inequality expression**; x > 2

The parameters given in the question are;

**Weight **of dog = 40 pounds

**Average amount **of calories required per day = 1215 calories

Amount of calories already eaten = 729 calories

Amount of calories fed per meal = 243 calories

The **inequality** that represents the given word problem is;

243x + 729 > 1215

Subtract 729 from both sides to get;

243x > 486

divide both sides by 243 to get;

x > 2

Read more about **Inequality word problems** at; https://brainly.com/question/25275758

#SPJ1

What is the surface area of the net shown below?

▸

8 ft

3 ft

3 ft

3 ft

The **surface area **of the net is 108 squate feet

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

A net that has the following **shapes**

The **area **of the net is the sum of the individual **areas**

So, we have

Area = 8 * 12 + 2 * 0.5 * 3 * 4

Evaluate

Area = 108

Hence, teh **area** is 108 squate feet

Read more about **area **at

https://brainly.com/question/22972014

#SPJ1

Last year, Becky's dog weighed 55 pounds. One year later, she had gained p pounds. Which expression gives her weight one year later?'

**Answer: 55+p**

**Step-by-step explanation: Since p is in unlike terms as 55, you can just write that as is an the expression to represent the dog's weight.**

Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y-

intercept to the nearest integer.

X

y

y =

5 6

12 -2

r=

7

00

8 9 10 11 12

3

-1-4

6

0

Identify the correlation coefficient. Round to the nearest thousandth if necessary.

An equation of the **line** of **best fit** for the data is y = -0.9x + 13.6.

The **correlation coefficient** (r) for the data to the nearest thousandth is -0.964.

In order to determine a **linear equation** in slope-intercept form for the line of best fit that models the data points described above, we would use a scatter plot (graphing calculator).

On the Excel worksheet, you should right click on any data point on the **scatter plot**, select format trend line, and then tick the box to display a **linear equation** for the line of best fit (trend line) on the **scatter plot**.

From the scatter plot (see attachment) which models the relationship between the data set, a **linear equation** for the line of best fit is given by:

y = -0.895x + 13.600.

Rounding up as required, we have:

y = -0.9x + 13.6.

Read more on **scatter plot **here: brainly.com/question/28605735

#SPJ1

Complete Question:

Use a graphing calculator to find an equation of the line of best fit for the data in the table. Round the slope and y-intercept to the nearest tenth. Then Identify and interpret the correlation coefficient.

X- 10.1 9.8 9.7 9.4 8.9 8.7 8.4 8.1

Y- 4.3 4.8 5.3 5.2 5.6 5.8 6.1 6.3

The equation of the line of best fit is y=

To the nearest thousandth, the correlation coefficient is r=

next, place point a on the graph to demonstrate how many trips kathy will take if the price is $230 per round-trip ticket. c. if the price of a round-trip ticket is $230, how many trips should kathy take?

**Kathy** should take **4 trips** if the price of a round-trip ticket is 230.

Point A on the** graph** would be placed at (230, 4). This demonstrates that Kathy should take 4 trips if the price of a round-trip ticket is 230. This can be calculated as follows:

Kathy has a budget of 1,000. Therefore, she can afford 4 round-trip tickets at the** price** of 230 each. This can be calculated by dividing 1000 by 230, which gives 4. Therefore, Kathy should take** 4 trips** if the price of a round-trip ticket is 230.

It is important to note that Kathy should also consider other factors such as the cost of other **expenses**, such as accommodation and food, when deciding how many trips to take. Additionally, Kathy may also want to consider whether the benefits of taking more trips are worth the additional cost.

Learn more about ** graph **here:

https://brainly.com/question/17267403

#SPJ4

What is the GCF of 4454 and 121j²k?

O 4j³k²

O 4j²k4

O 11j³k²

O 11j²4

The required, there is no **highest common factor **between 4454 and 121j²k. None of the options are correct.

The **highest common factor **(HCF) of two or more numbers is the largest number that **divides **all of the numbers **exactly**.

Here,

To find the greatest common factor (GCF) of 4454 and 121j²k, we need to factor both numbers into their prime factors and then identify the common factors.

Since 4454 is an even number and 121 is an odd number so there is no prime **highest common factor **between the given number.

Thus, none of the options are correct.

Learn more about **greatest common factors **here: https://brainly.com/question/11221202

#SPJ9

describe to use or importance of points , lines , and planes in daily life

**Points, lines** and **planes** can be used in different fields like **Navigation, Architecture, Art, Engineering**, etc.

**What are points, lines, and planes?**

**Point**: A point is a **basic geometric object** that represents a specific **location** in space.

**Line**: A **line** is a **straight path** that extends infinitely in both directions. It is made up of an infinite number of points that are all **collinear**, or lie on the same straight path.

**Plane**: A plane is a** two-dimensional flat surface **that extends infinitely in all directions.

Navigation: Points and lines are essential for navigation, both on land and in the air. For example, on a map, points represent specific locations, while lines represent roads, highways, and other paths that can be taken to get from one point to another.

Architecture and Design: Points, lines, and planes are critical for architecture and design. Architects use points to specify the locations of walls, columns, and other structural elements, while lines are used to create the edges of rooms and buildings. Planes are used to define the surfaces of walls, floors, and ceilings.

Art: Artists often use points, lines, and planes to create visual effects in their work. Points can be used to create texture, while lines can be used to create movement and depth. Planes can be used to create shapes and form.

Engineering: Points, lines, and planes are fundamental to engineering, which involves the design and construction of structures and machines. Engineers use points to specify the locations of components, while lines are used to create the edges of parts. Planes are used to define the surfaces of structures, such as the wings of an airplane.

Hence, **points, lines** and **planes** can be used in different fields like **Navigation, Architecture, Art, Engineering**, etc.

To learn more about the **points**, **lines**, and **planes**, visit:

https://brainly.com/question/13099718

#SPJ1

amit took part in an cycle race .he started at 1:25 pm and reached the finishing line at 1:50 . what was the duration of the race ?

amit took a part in cycle race .he started at 1:25 and he reached finishing lline at 1:50 pm what was the duration of the race .

**Answer:**

25 minutes

**Step-by-step explanation:**

The time difference between 1:25 and 1:50 is 25 min

a wall street journal subscriber survey asked 46 questions about subscriber characteristics and interests. state whether each of the following questions provides categorical or quantitative data. (a) what is your age? categorical quantitative (b) are you male or female? categorical quantitative (c) when did you first start reading the wsj? high school, college, early career, mid career, late career, or retirement? categorical quantitative (d) how long have you been in your present job or position? categorical quantitative (e) what type of vehicle are you considering for your next purchase? nine response categories include sedan, sports car, suv, minivan, and so on. categorical

a)** **"What is your **age**?" is a quantitative data.

b) "Are you male or female?" is a **categorical **data.

c) "When did you first start reading the wsj?" is a categorical data.

d) "How **long **have you been in your present job or position?" is a quantitative data.

e) "What type of vehicle are you considering for your next purchase?" is a categorical data.

(a) "What is your age?" - This question provides quantitative data because age is a **numerical **value that can be measured and ordered in a meaningful way. Respondents could give an answer such as "25", "45", or "70", for example, which can be used to calculate statistics such as the mean or median age of the survey population.

(b) "Are you male or female?" - This question provides categorical data because the responses fall into **discrete**, non-numeric categories (in this case, "male" or "female"). It's not possible to order the responses in a meaningful way, since there is no inherent numerical value associated with being male or female.

(c) "When did you first start reading the WSJ?" - This question provides categorical data because the possible responses fall into discrete, **non-numeric** categories (high school, college, early career, mid career, late career, or retirement). While it's possible to order the categories in a logical sequence, they don't represent numerical values.

(d) "How long have you been in your present job or position?" - This question provides quantitative data because the responses can be measured as numerical values (for example, "3 years", "10 years", or "25 years"). The data can be used to calculate **statistics **such as the average length of time that respondents have been in their current position.

(e) "What type of vehicle are you considering for your next purchase?" - This question provides **categorical **data because the possible responses fall into discrete, non-numeric categories (sedan, sports car, SUV, minivan, etc.). While it's possible to order the categories in a logical sequence based on size, price, or other factors.

To learn more about **data** click on,

https://brainly.com/question/13191929

#SPJ4

help with question 17

**Answer:**

hundredths

**Step-by-step explanation:**

The hundredths place.

Use the Pythagorean Theorem to find the distance between points F and C.

A. 2 √3

B. √41

C. 4 √3

D. 3 √5

**Answer:**

D. 3√5

**Step-by-step explanation:**

The **distance** between **points F and C** is the **hypotenuse **of a **right triangle**. Therefore we can use **Pythagoras Theorem** to calculate the distance between these points.

From inspection of the given graph the **coordinates **of the two points are:

The **horizontal difference** between the x-coordinates is:

[tex]x_C-x_F=2-(-4)=6\; \sf units[/tex]

The **vertical difference **between the y-coordinates:

[tex]y_C-y_F=2-(-1)=3\; \sf units[/tex]

Therefore, we have a **right triangle** with the following dimensions:

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

To calculate the length of the **hypotenuse**, and therefore the distance between points C and F, substitute the values into the **Pythagoras Theorem** formula and** solve for CF**:

[tex]\implies a^2+b^2=c^2[/tex]

[tex]\implies 3^2+6^2=CF^2[/tex]

[tex]\implies 9+36=CF^2[/tex]

[tex]\implies CF^2=45[/tex]

[tex]\implies \sqrt{CF^2}=\sqrt{45}[/tex]

[tex]\implies CF=\sqrt{9 \cdot 5}[/tex]

[tex]\implies CF=\sqrt{9} \sqrt{5}[/tex]

[tex]\implies CF=3\sqrt{5}[/tex]

Therefore, the **distance **between points F and C is **3√5**.

A square pyramid is shown. What is the surface area?

A square based pyramid, with bases labeled 3.5 centimeters and side length of triangle labeled 7 centimeters.

(4 points)

19.25 cm2

30.625 cm2

49.625 cm2

61.25 cm2

Answer:

61.25

Step-by-step explanation:

brainlest pls and I hope this helped u :)

Base Area= (3.5cm)^2=12.25cm^2

Surface Area= Base Area + 2 sl=12.25 cm^2 + (2*35cm + 7cm)

61.25 cm^2

Surface Area= Base Area + 2 sl=12.25 cm^2 + (2*35cm + 7cm)

61.25 cm^2

shawna knows that a correlation between calories of sweeteners consumed and mortality rates among women does not, in itself, mean that drinking more soft drinks will lead to a higher chance of her dying. which of the following would not be a lurking variable in the above scenario? a.) shawna's weight b.) the time of day shawna exercises c.) the number of soft drink brands available for purchase d.) the amount of caffeine available in soft drinks

**Answer: Musical preferences**

A variable is a lurking variable if it can influence an explanatory/response relationship. So it must be related to both the explanatory and response variable. It is not likely your musical preferences affect mortality or how much sweetener you consume.

The number of **soft drink** brands available for purchase is not a **lurking **variable in this scenario. Correct option is C.

The **statement **is asking which of the given variables is not a lurking variable in the scenario where Shawna is considering the correlation between the calories of sweeteners consumed and the mortality rates among women, and is trying to determine whether drinking more soft drinks will lead to a higher chance of her dying.

A lurking variable is a **variable **that is not included in the analysis, but has an effect on the relationship between the variables being studied. In this case, the variables being studied are the calories of sweeteners consumed and the mortality rates among women, and the effect of drinking more soft drinks on the chances of dying.

Out of the given variables, the number of soft drink brands available for purchase would not be a lurking variable, as it does not have an effect on the **relationship **being studied.

Shawna's weight, the time of day she exercises, and the amount of caffeine available in soft drinks could all potentially have an effect on the relationship being studied, either as **confounding **variables or moderators.

For example, Shawna's weight could be a confounding variable, as it is associated with both sweetener consumption and mortality rates. The time of day she exercises could be a **moderator**, as exercise may affect the metabolism of sweeteners and caffeine, which could in turn affect mortality rates.

The amount of caffeine available in soft drinks could be a confounding variable, as caffeine consumption is associated with both sweetener consumption and mortality rates.

In summary, the number of soft drink brands available for purchase is not a lurking variable in this scenario, while Shawna's weight, the time of day she exercises, and the amount of caffeine available in soft drinks could potentially be confounding variables or moderators that need to be accounted for in the **analysis**.

To learn more about **correlation** click on,

https://brainly.com/question/30087784

#SPJ4

Bunolo ran a 10km race her average speed was 6km per hour how long did it take her in minutes to complete the race

It took Bunolo 100 minutes (or 1 hour and 40 minutes) to complete the 10 km race at an average **speed **of 6 km/h.

To find out how long it took Bunolo to complete a 10 km race with an average speed of 6 km/h, we can use the **formula**:

time = distance / speed

where "distance" is the distance of the race and "speed" is the average speed at which Bunolo ran. We can **convert **the speed to km/minute to get the time in minutes.

To do this, we can **divide **the speed in km/hour by 60 (the number of minutes in an hour) to get the speed in km/minute:

6 km/hour ÷ 60 minutes/hour = 0.1 km/minute

Now, we can **substitute **the distance and speed values into the formula to get the time in minutes:

time = 10 km / 0.1 km/minute = 100 minutes

Therefore, To complete the 10 km race with the average speed of 6 km/h, it took Bunolo **100 minutes.**

To learn more about **time** click on,

https://brainly.com/question/11164138

#SPJ4

Frodo ran 2 4/5 in 7/12 of an hour. How many miles can Frodo run in one hour?
If a = 6 and B = 40 degrees,find c.
Which of the below choices represents the ranking with which molecules cross a synthetic membrane composed of phospholipids but not proteins? (Ranking in order from least easily to most easily)a. hydrophobic molecules, small polar molecules, large polar molecules, ionsb. hydrophobic molecules, ions, small polar molecules, large polar moleculesc. ions, large polar molecules, small polar molecules, hydrophobic moleculesd. small polar molecules, large polar molecules, ions, hydrophobic molecules
Find the consumer price index or cost living by aggregate method or family budget method
Leo Gandolfi takes out a short-term loan of $1,800 at 12 percentfor 6 months. The monthly payment is $310.50. The balance of the loan after 4 payments is$612.34. How much does he save by paying off the loan when the next payment is due?A. $6.12 B. $18.00 C. $2.54 D. $618.46
Find a positive angle less than 360 that is coterminal with the given angle -1025
Hence, or otherwise, find the two consecutive integers whose squares have a difference of 279
In Exercises 1-4, tell whether the ordered pair is a solution of the inequality.1. x - y > 2; (5, 4)2. x + y -3; (1, 4)3. 5x + y 12; (2, 2)4. x-3y > 6; (3, 1)
Describe ONE other use of CRISPR (other than gene editing)
Find the length of CD.E2DA1 BThe length of CD is5Cunit(s).
Order the events in the history of sugar chronologically. Use 1 for the first event
According to our author, Augustine believes that all political power rests on brute force (p. 49). Why is this?
malic acid is an intermediate metabolite of glucose metabolism. malic acid contains 35.821% c, 4.478% h, and 59.701% o by mass. what is the empirical formula for malic acid?
which of the following phases of the bacterial growth curve is matched with the correct definition? view available hint(s)for part a which of the following phases of the bacterial growth curve is matched with the correct definition? stationary phase--the phase where cells are not dividing very rapidly as they acclimatize to a new environment death phase--the phase where the curve is flat; microbial deaths balance the number of new cells lag phase--the phase where the death of organisms exceeds the creation of new cells and the curve declines log phase--the phase where organisms are actively dividing and the generation time is constant
identify some of the other measures of total production and total income other than gdp. which do you think is the most important of these other measures? why?
Si Nstor fuera ms valiente, hablara con Carla acerca de sus sentimientos. Ella le contara que ha pensado en l desde que estaban en quinto grado. l quizs le tomara la mano y la llevara al patio de la escuela para mostrarle el lugar desde donde la miraba desde ese tiempo. l le dara una flor y la invitara a pasear a la playa en la noche cuando pudieran mirar la luna. Ay, que lindo es el amor!Qu le dira Carla?Que ella no lo quiereQue la deje solaQue ella ha pensado en el desde quinto grado.Que quiere a otro chico
DUE TODAY THANK YOU HELP
how much energy is lost to friction if the motorcycle only gains an altitude of 21 m before coming to rest?
E-53Question 53/177B propertyreligion NEXTMr. Johnson is not happy with the way the city council is governing his town. He decides to voice his opinion to his fellowcitizens at the next city council meeting.Which First Amendment right is he using?A speechBOOKMARK XG101
How did the literature of the northern Renaissance reflect a movement toward secularism?A by redirecting wealth toward the production of vernacular textsB by warning against education in religious institutionsC by criticizing the established social order and religious doctrineD by challenging the rule of Church-appointed monarchs