f(x) = ex; g(x) = x2

f(x) = ex; g(x) = ln(x)

f(x) = ln(x); g(x) = ex

f(x) = x; g(x) = ln(x)

The pair of **functions** f(x) and g(x) below that equals 0 as the limit as x goes to infinity of the **quotient** of f of x and g of x will be C. f(x) = ln(x); g(x) = ex

For the limit of the **quotient** of f(x) and g(x) to equal 0 as x approaches infinity, it is necessary for f(x) to grow more **slowly** than g(x).

Out of the **options** given, the only pair of functions where this is true is f(x) = ln(x) and g(x) = ex. As x approaches infinity, ex grows much faster than ln(x), so the limit of the quotient of these two **functions** as x approaches infinity is 0.

In conclusion, the correct option is C.

Learn more about **limit** on:

https://brainly.com/question/4724064

#SPJ1

Answer please! 50 Points!

Option A is correct

Lena estimate is there a bottle contains 500 mm of water but actually contains 473 mm of water what is the percent error and Lena's estimate rounded to the nearest 10th of a percent HURRY FAST PLS!!!

5.4% is **the percent error .**

**What is the formula for errors?**

The difference between the estimated value and the actual value in relation to the actual value is given as a percentage and is known as the **percent error.**

The relative error is multiplied by 100 to calculate the % error, in other words. The absolute value of the difference between the **measured value** and the actual value is divided by the actual value, then multiplied by 100 to get the percent error.

= 500 - 473/500 * 100

= 27/500 * 100

= 5.4%

Learn more about **the percent error **

**brainly.com/question/29107960**

#SPJ1

1. An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50' with the wall.

The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation

of the Sun is more than 65'. See the figure. Find the length of L of the awning. Round to the nearest

Inch.

To calculate the length of the awning, we can use the law of cosines. The law of cosines states that in a triangle, the sum of the squares of the lengths of two sides is equal to the square of the length of the third side. In this case, we can let the angle of elevation of the sun be A, the length of the awning be L, and the angle formed by the awning and the wall be B. We then have:

L^2 = 88^2 + (65 * tan(A))^2 - 2(88)(65 * tan(A))cos(B)

Substituting in the given values for A, B, and L, we get:

L^2 = 88^2 + (65 * tan(65))^2 - 2(88)(65 * tan(65))cos(50)

Solving for L, we get a value of L = 103.9 inches. Rounding to the nearest inch, the length of the awning is 104 inches.

L^2 = 88^2 + (65 * tan(A))^2 - 2(88)(65 * tan(A))cos(B)

Substituting in the given values for A, B, and L, we get:

L^2 = 88^2 + (65 * tan(65))^2 - 2(88)(65 * tan(65))cos(50)

Solving for L, we get a value of L = 103.9 inches. Rounding to the nearest inch, the length of the awning is 104 inches.

At MeDonald's four cheeseburgers and three medium fries have a total of 2290 calories.Six cheeseburgers and two medium fries have 2560 calories. How many calories does each

Item contain?

**Answer:**

350 calories

**Step-by-step explanation:**

see the attachment.

**Calories **in one cheeseburgers = 135

And, Calories in one** medium fries** = 583

We have to given that,

At McDonald's four cheeseburgers and three medium fries have a total of 2290 calories.

And, Six **cheeseburgers** and two medium fries have 2560 calories.

Let us assume that,

Calories in one cheeseburgers = x

And, Calories in one **medium **fries = y

Hence, We get;

4x + 3y = 2290 . (i)

6x + 3y = 2560 .. (ii)

From (i);

3y = 2290 - 4x

**Substitute **above value in (ii);

6x + (2290 - 4x) = 2560

6x - 4x + 2290 = 2560

2x = 2560 - 2290

2x = 270

x = 270 / 2

x = 135

From (ii);

6 x 135 + 3y = 2560

810 + 3y = 2560

3y = 2560 - 810

3y = 1750

y = 1750/3

y = 583

Therefore, **Calories** in one cheeseburgers = 135

And, Calories in one medium fries = 583

Learn more about** systems of equations** at:

brainly.com/question/14323743

#SPJ6

A stereo that regularly sells for $330 is on sale at 15% off. How much will a customer save on the stereo during the sale?

**Answer: 49.5 dollars**

**Step-by-step explanation: the original price is 330, but the sale takes 15 percent off**

**so we turn 15% into a decimal so we can multiply 330 and 15%**

**we get 0.15 × 330 = 49.5**

Now look at the exponential expression you found to be equivalent to 100,000 • 1/100,000 can you use addition or multiplication on the powers of this exponential expression to simplify it if not which operation works and which one doesn’t

The **expression **simplifies to 1, which means that 100,000 • 1/100,000 is **equal **to 1.

The **exponential** expression that is equivalent to 100,000 • 1/100,000 is:

[tex](10^5) * (10^-5)[/tex]

To simplify this expression using **addition **or multiplication on the powers, we can use the property of exponents that states:

[tex]a^m *a^n = a^{(m+n)[/tex]

This means that when we **multiply **two numbers with the same base, we can add their exponents to simplify the expression. However, this property does not work for division, as we need to subtract the exponents instead.

Using this property, we can simplify the **expression **as follows:

[tex](10^5) * (10^-5) = 10^{(5-5)} = 10^0 = 1[/tex]

Therefore, the expression simplifies to 1, which means that 100,000 • 1/100,000 is equal to 1. We can see that in this case, addition and multiplication do not help us simplify the expression, but we can use the exponent property to do so.

Learn more about **exponential :**

https://brainly.com/question/26540624

#SPJ4

Find the common factor of all the terms of the polynomial 16x² - 14x.

**Answer:**

The common factor of all the terms of the polynomial 16x² - 14x is:

**2x**

**Step-by-step explanation:**

We are given a polynomial:

16x²-14x

We have to find the common factor of all terms.

First we factorize each term separately and then see the common factor.

16x²=2×2×2×2×x×x

14x=2×7×x

We observe that the common factor is:

2x

Hence, the common factor of all the terms of the polynomial 16x² - 14x is:

2x

**Answer:**

2x

**Step-by-step explanation:**

16 = 2^4

14 = 2 × 7

Common factor of 16 and 14 is 2.

x² = x × x

x = x

Common factor of x² and x is x

The common factor of the two terms is 2x.

what is - 3x > 15 equal to

**Answer:**

x < -5

**Step-by-step explanation:**

- 3x > 15 is equal to x < -5

a= 340 rounded to the nearest 10

b= 49.8 rounded to 1 DP

Find the minimum of a × b

**Answer: First, we'll round the values of A and b:**

**A = 340 rounded to the nearest 10 = 340**

**b = 49.8 rounded to 1 decimal place = 49.8**

**Next, we'll find the product of A and b:**

**A × b = 340 × 49.8 = 16872**

**Finally, we'll find the minimum of A × b:**

**Minimum of A × b = 16872**

**So, the minimum value of A × b is 16872.**

**Step-by-step explanation:**

Need answers stat trigonometry

The required **measure **of x is given in each **triangle **are given as,

2. x = 74.01 3. 25.09 4. x = 23.78

5. x = 26.64 6. x = 21.03° 7. x = 39.55°

If you know the lengths of two **sides **of a **right triangle**, you can use trigonometric **ratios **to calculate the **measures **of one (or both) of the **acute angles**.

Here,

2.

For the given triangle

Apply the trigonometric ratios,

Tan 62 = x/25

x = 25 tan62

x = 74.01

Similarly,

3. x = 11/sin26 = 25.09

4. x = 32sin48 = 23.78

5. x = 29/cos12 = 29.64

6. cosx = 14/15 = 21.03°

7. tanx = 19/23 = 39.55°

Learn more about **trig ratios **here:

https://brainly.com/question/14977354

#SPJ1

8x^{2}-8x8x

2

−8x from -6x^{2}-10x+4−6x

2

−10x+4.

The value of the **equation** 8x² - 8x + 2 -( 6x² - 10x + 4) is 2x² + 2x - 2.

It should be noted that an **equation** simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that

two or more components are considered in order to be able to describe the scenario.

It is important to note that an **equation** is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

The **equation** can be illustrated thus:

8x² - 8x + 2 -( 6x² - 10x + 4)

8x² - 8x + 2 - 6x² + 10x - 4

= 2x² + 2x - 2

Learn more about **equations** on:

brainly.com/question/2972832

#SPJ1

j–18≥1 Need help pls

**Answer:**

**j≥19**

**hope this helpss :))**

the product 2√3 and 3√12 in simplified form is

The product of 2√3 and 3√12 in simplified form is 6√36. To simplify this expression, we can first multiply 2 and 3 to get 6. Then, we can simplify the square root of 3 and the square root of 12 by finding their prime factorizations:

√3 = √(3 * 1) = √3

√12 = √(12 * 1) = √(2^2 * 3) = 2√3

So, 2√3 = 2 * √3 = 2 * √3

And, 3√12 = 3 * 2√3 = 6√3

Finally, the product of 2√3 and 3√12 is 6 * 6√3 = 6√36.

Use the following data sets to answer the question.

Set {12, 9, 30, 1, 15, 10,

A:

12}

Set

B:

9, 30, 12, 3, 16, 11,

18}

Which statement about the shape of the data is true?

Both sets have the same median, but Set A has a larger mean.

O Both sets have the same median, but Set B has a larger mean.

O Set B has a larger mean and median than Set A.

O Set A has a lower median but a higher mean than Set B.

**Answer:**

Both have the same median but set A has a larger mean.

**Step-by-step explanation:**

You're welcome.

Answer:

A

Step-by-step explanation:

Each set has a mean of 12, But the mean of set A is 12.71 and the mean of set b is 14.14 so the answer would be A.

A

Step-by-step explanation:

Each set has a mean of 12, But the mean of set A is 12.71 and the mean of set b is 14.14 so the answer would be A.

two paintings in an art display have shapes that are similar figures. the similarity ratio is 9:7. the perimeter of the smaller painting is 6 meters. which is the perimeter of the larger painting to the nearest tenth?

Two paintings in an art display have shapes that are similar figures. the similarity **ratio** is 9:7 and the perimeter of the smaller painting is 6 meters therefore the **perimeter** of the larger painting to the nearest tenth is 7.7 **meters**.

This is referred to as the total **distance** around a two-dimensional shape.

**Perimeter** of the smaller painting is 6 meters and similarity ratio is 9:7

9 = x

7 = 6

7x = 54

x = 54/7 = 7.7 meters.

Read more about **Perimeter** here https://brainly.com/question/19819849

#SPJ1

Ticket lines are huge around the Colossal Arena. The Boulders, one of the most popular rock groups ever, are giving a concert on Saturday. When the tickets went on sale Monday, 500 were sold in the first hour, 560 tickets were sold in the second hour, and 640 tickets were sold in the third hour. After the second hour, the increase in ticket sales every hour was 20 more than the increase of the previous hour. If sales continue at that rate, in what hour will 10,000 tickets be sold for the Boulders concert?Explain your answer in detail

If after the second hour, the **increase **in ticket sales every hour was 20 more than the increase of the previous **hour**, it will take 12 hours to sell 10,000 tickets for the Boulders concert.

To solve this problem, we need to find the number of hours it will take to sell 10,000 tickets for the concert. We are given the number of **tickets **sold in the first three hours and the rate at which ticket sales increase each hour after the second hour.

Let's denote the number of tickets sold in the fourth hour by "x". Then, the number of tickets **sold **in the fifth hour will be "x + 20", and the number of tickets sold in the sixth hour will be "x + 40", and so on.

Using this information, we can set up an **equation **to find "x":

500 + 560 + x + (x + 20) + (x + 40) + ... = 10,000

**Simplifying **the equation, we get:

3x + 1020 + 20n = 9500

where "n" is the number of hours after the third hour.

Solving for "n", we get:

n = (10,000 - 1020 - 3x) / 20

Now, we need to find the value of "x" that satisfies this equation. We can do this by **testing **different values of "x" until we find the one that gives an integer value for "n".

Let's start by trying "x = 640 + 20 = 660". Plugging this value into the equation, we get:

n = (10,000 - 1020 - 3(660)) / 20 = 9

We arrived at this solution by using the given information about the rate of increase in ticket sales and setting up an equation to solve for the number of hours it will take to sell 10,000 tickets. We then tested different **values **of "x" until we found the one that satisfied the equation and gave an integer value for "n".

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

https://brainly.com/question/16633159

#SPJ4

What is the area of ∆AOB?

The **Area** of **Rhombus** is 97.5 cm².

The **area **of a **rhombus **is equal to **half **the **product **of the **lengths **of the **diagonals**. The formula to calculate the area of a rhombus using diagonals is given as, Area = (a × b )/2 where, a and b are the diagonals of the rhombus.

Given:

As, diagonals of rhombus bisect perpendicularly.

so, In triangle OAD using **Pythagoras theorem**

AD² = OD² + OA²

10² = 7.8² + OD²

OD= 6.25 cm

So, **length **of BD = 2 x 6.25 = 12.5 cm

Now, **area** of **Rhombus **= 1/2 x a x b

= 1/2 x 15.6 x 12.5

= 97.5 cm².

Learn more about** Area of Rhombus **here:

https://brainly.com/question/30577072

#SPJ9

pour le carnaval un fleuriste dispose de 283 roses et 397 tulipes. il décide de décorer de façon identique le plus grand nombre de chars pour accompagner les carnavalier. après avoir décorer le chars il lui reste 3 roses et 2 tulipes.

combien a t-il décorer de chars et quelle est la composition de chaque décor?

**Answer:**

I don't understand French

**Step-by-step explanation:**

Help please Hurry

What conclusion can be drawn about the number of trials and the probability of the coin landing on heads or tails? (1 point)

O a

О b

• c

O d

The experimental probability is closer to the theoretical probability for group Y than group X.

The experimental probability and the theoretical probability for group X is the same.

The experimental probability and the theoretical probability for group Y is the same.

The experimental probability is closer to the theoretical probability for group X than group Y.

The conclusion that can be drawn about the number of **trials **and the **probability **is A. The experimental probability is closer to the theoretical probability for group Y than X.

The** theoretical probability **for picking a heads or tails is 50 % as there are only two outcomes of heads and tails.

The **experimental probability** for heads is 53 % in Group Y and 47 % for tails. This is close enough to the 50 % theoretical probability.

For group X, the experimental probability for **heads **for Group x is :

= 33 / 50

= 66 %

This is too far from the theoretical probability.

Find out more on **theoretical probability **at https://brainly.com/question/1503266

#SPJ1

how many solutions do 2(x-4)=2x-8 have

The equation 2(x - 4) = 2x - 8 has infinitely many **solutions.**

An equation is the statement of two **expressions **located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is 2(x - 4) = 2x - 8.

Solving this,

Using the **distributive property**, a (b + c) = ab + ac, 2(x - 4) = (2 × x) - (2 × 4).

**Substituting **in the original equation,

(2 × x) - (2 × 4) = 2x - 8

2x - 8 = 2x - 8

2x - 2x = -8 + 8

0 = 0

Right hand side and left hand side are equal if we put any value for x.

So it has **infinitely **many solutions for x.

Hence the given equation has infinitely many solutions.

Learn more about **Equations **here :

https://brainly.com/question/12222592

#SPJ9

Which graph shows the function y = 3x - 5 ?

The **solution** is, Option A. Line X

A** straight** line is an endless one-dimensional figure that has no **width**. It is a combination of endless **points** joined both sides of a point and has no** curve.**

here, we have,

We have to** identify **the line which represents the function f(x) = 3x - 5

The given **equation** is y = 3x -5, in which slope of the line should be 3 and y- **intercep**t is -5.

In these lines line x is having y-**intercept** as -5.

Line x **passes** through (1, 2) and (0, -5)

So **slope** of the given line will be = y2 - y1/ x2 - x1

= -5-2/ 0-1

= 3

Therefore, option A : Line X is the answer.

To learn more on **Equation** 0f Straight-Line click:

brainly.com/question/11116168

#SPJ1

rachel's coffee shop makes a blend that is a mixture of two types of coffee. type a coffee costs rachel per pound, and type b coffee costs per pound. this month, rachel made pounds of the blend, for a total cost of . how many pounds of type a coffee did she use?

**Rachel's** Coffee Shop used 33 **pounds** of type A coffee at a cost of $4.20 per pound, and four times as many pounds of type B coffee at a cost of $5.50 per pound, to create a blend costing a total of $864.60.

Let's use the variable "x" to represent the number of **pounds** of type A coffee used in the blend.

The amount of type B coffee used in the mix was four times that of type A, therefore we can write:

number of pounds of type B coffee = 4x

The total cost of the **blend** is given as $864.60, so we can write an equation based on the cost:

[tex]4.2x + 5.5(4x) = 864.60[/tex]

Simplifying and solving for x, we get:

[tex]4.2x + 22x = 864.60[/tex]

[tex]26.2x = 864.60[/tex]

[tex]x = 33[/tex]

As a result, the mix contained 33 pounds of type A coffee.

To check our answer, we can substitute x = 33 into the **equation** we used to solve for it and verify that the total cost is indeed $864.60.

[tex]4.2(33) + 5.5(4*33)[/tex]

= [tex]138.6 + 726.0[/tex]

= [tex]864.6[/tex]

The total cost matches, so our answer is correct.

Therefore, **Rachel's** Coffee Shop used 33 pounds of type A coffee in the blend.

Learn more about **equation** here:

https://brainly.com/question/29174899

#SPJ4

The complete question is:

A blend made by Rachel's Coffee Shop combines two different kinds of coffee. Rachel pays $4.20 per pound for type A coffee and $5.50 for type B coffee. This month's blend cost $864.60 and included four pounds more of type B coffee than type A. How many pounds of coffee of type A were consumed?

A hotel swimming pool measures 20 m by 8m.The hotel manager wants to put a 2 m wide deck around the pool. Caluculate the area of the deck.

128m

you can separate each section of the deck using a picture and find the areas of each that way. for example; there are 4 corner pieces with an area of 2x2 (4) each, 2 long sections with an area of 2x20 (40), and two shorter sections with an area of 8x2 (16)

you can separate each section of the deck using a picture and find the areas of each that way. for example; there are 4 corner pieces with an area of 2x2 (4) each, 2 long sections with an area of 2x20 (40), and two shorter sections with an area of 8x2 (16)

Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.

Enter the correct answer in the box by replacing the values of m and b.

The** slope-intercept **equation of this **linear function** is y = -3x + 5.

Mathematically, the **point-slope** form of a straight** line **can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.x and y are the points.Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (0, 1).Points on y-axis = (5, 2).At point (0, 5), a linear equation of this **line** can be calculated in slope-intercept form as follows:

y - 5 = (2 - 5)/(1 - 0)(x - 0)

y - 5 = -3(x - 0)

y = -3x + 5

Read more on **slope** here: brainly.com/question/3493733

#SPJ1

120 pens and pencils triple the number of pens than pencils how many pens

If **number of pencils** are triple the **number of pens**, then the number of pens is 30

Total number of pens and pencils = 120

Number of pencil is** triple **the number of pens

Consider the number of pens as x

Number of pencils = 3x

Sum of the pens and pencils = 120

Then the** equation** will be

Number of pens + Number of pencils = Sum of number of pens and pencils

**Substitute the values** in the equation

x + 3x = 120

Add the **like terms**

(1 + 3)x = 120

4x = 120

Move 4 to the right hand side of the equation

x = 120 / 4

x = 30

Therefore, the number of pens is 30

Learn more about **equation** here

brainly.com/question/14603452

#SPJ4

The table represents a function.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.

What is f(5)?

–8

–1

1

8The table represents a function.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.

What is f(5)?

–8

–1

1

8

The value of **function **f(5) is 8.

A function is defined as a **relation** between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a **domain** and **codomain **or range. A function is generally denoted by f(x) where x is the input.

The general representation of a function is y = f(x).

Injective function or One to one function: When there is mapping for a range for each domain between two sets.

Surjective Function or Onto function: When there is more than one element mapped from domain to range.

Polynomial function: The function which consists of polynomials

Inverse function: The function which can invert another function.

Given:

x with entries -4, -1, 3 and 5.

f(-4) = 2

f(-1) = 5

f(3) = 4

f(5) = 8

The value of f(5) is 8.

To know more about **Function **visit:

brainly.com/question/12431044

#SPJ1

**Answer: f(5) is -8**

**Step-by-step explanation:**

took the quiz

Louise is planning to renovate her house. She intends to spend no more than $30 000. She has

$20 000 to invest in an account that pay 4.28% compounded monthly. How long will it take

Louise to meet her goal? Show your work. Round your answer to the nearest tenth of a year.

**Answer: To solve this problem, we can use the formula for calculating the future value of an investment:**

**FV = PV * (1 + r/n)^(nt)**

**where:**

**FV is the future value of the investment**

**PV is the present value of the investment (the initial amount Louise has to invest)**

**r is the annual interest rate (4.28%)**

**n is the number of times the interest is compounded in a year**

**t is the number of years the investment is made**

**Since the interest is compounded monthly, we need to convert the annual interest rate to a monthly rate:**

**r/12 = 4.28% / 12 = 0.3566666666666667%**

**Now, we can use the formula to calculate the future value of Louise's investment:**

**FV = $20,000 * (1 + 0.3566666666666667%)^(12t)**

**We can use trial and error or iterative methods to find the value of t that satisfies the condition: FV = $30,000.**

**A quick approximation is to use the formula for simple interest:**

**FV = PV * (1 + r * t) = $20,000 * (1 + 0.0428 * t)**

**t = ($30,000 - $20,000) / ($20,000 * 0.0428) = 2.857142857142857 years, or approximately 2.9 years.**

**This is an approximation, but it should be close to the actual answer. To get a more accurate answer, we can use an iterative method, such as Newton-Raphson or bisection, to solve for t in the formula above.**

**Step-by-step explanation:**

ANSWER ASAP

Three points of a parallelogram are (4, 3), (-4 3), and (2, -3).

What are the coordinates of the 4th point that would complete the parallelogram?

Given **parallelogram** points are (4,3),(-4 3), and (2, -3).

Let's say A= (4,3) , B**=**(-4 3) ,C=(2, -3) and D=(x, y)

Parallelogram defined as opposite sides are equal and **parallel** to each other.

From the ** properties ** of parallelogram :

We can say **diagonals** bisect each other.

From this we can easily find 4th point of parallelogram by using **mid point **concept.

Mid point formula

(X,Y)=[tex](\frac{x_{1} +x_{2}}{2},\frac{y_{1} +y_{2}}{2})[/tex]

Find mid point between AC line

midpoint (X,Y)= [tex](\frac{4 +2}{2},\frac{3-3}{2})[/tex]

(X,Y)=[tex](\frac{6}{2},\frac{0}{2})[/tex]

(X,Y)=(3,0)

Find mid point between BD Line

Mid point (X,Y)= [tex](\frac{-4 +x}{2},\frac{3+y}{2})[/tex]

Mid point of AC and BD are equal to each other

(3,0)=[tex](\frac{-4 +x}{2},\frac{3+y}{2})[/tex]

Equate x-coordinate and y-coordinate.

[tex]3=(\frac{-4 +x}{2})[/tex] and [tex]0=(\frac{3+y}{2})[/tex]

6=-4+x and 0=3+y

x=10 and y=-3

Therefore ,the coordinates of the 4th point is D(x, y)=(10,-3)

To know more about , **parllelogram**

https://brainly.com/question/27371245

The **coordinates **of the **fourth point **that would complete the **parallelogram **are (10, -3).

A parallelogram is defined as a special type of **quadrilateral **that has both pairs of opposite sides **parallel **and equal.

We know A, B, and C, where A = (4, 3), B = (-4, 3), and C = (2, -3).

To determine the **fourth point**, which represents D.

First, we need to find the **vector **representing side AB.

**Subtracting **the coordinates of point B from the coordinates of point A. So:

AB = A - B = (4, 3) - (-4, 3) = (8, 0)

Next, we need to find a **point **that is on the line that is **parallel **to AB and passes through point C.

The vector CD (where D is the point) is equal to AB. So:

CD = AB = (8, 0)

We know that C = (2, -3),

We can start by **adding **CD to C to get D:

D = C + CD = (2, -3) + (8, 0) = (10, -3)

Therefore, the **coordinates **of the fourth point are (10, -3).

Learn more about **parallelograms **here:

brainly.com/question/11220936

#SPJ1

The proportion of twins born in a town is p = 0.12. Suppose we randomly select 100 women from this town who give birth in the next year. Which of the following is the mean of the sampling distribution of p hat ?

Mu Subscript p hat = p = 0.12

Mu Subscript p hat = n p = 100 (0.12) = 12

Mu Subscript p hat = 1 minus p = 1 minus 0.12 = 0.88

Mu Subscript p hat = n (1 minus p) = 100 (1 minus 0.12) = 88

The **sampling distribution** of p hat follows a normal distribution thus, the value of** Mu Subscript p hat** = p = 0.12. Option 1 is the correct answer.

A **probability** distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the **mean**.

The most typical form of distribution assumed in technical stock market analysis and other statistical investigations is the normal distribution. The mean and the standard deviation are the two variables that make up the standard normal distribution.

The sampling distribution of p hat follows a normal distribution thus,

Mu Subscript p hat = p

Here, the value of p = 0.12

Hence, the value of Mu Subscript p hat = p = 0.12. Option 1 is the correct answer.

Learn more about **normal distribution** here:

https://brainly.com/question/29509087

#SPJ1

**Answer:**

A. **Mu Subscript p hat = p = 0.12**

**Step-by-step explanation:**

can someone explain as well so i can understand......A savings account with simple annual interest rate of 3.92% and an initial deposit of $5,460.75 yields a final account balance of $6,370.51 after 51 months. Part A: Using the rate and term as the simple interest account, calculate the final account balance if the initial deposit is invested for the same number of months, with interest compounded semiannually. Show all work. (3 points) Part B: Compare that simple interest final account balance with the compound interest final account balance. (2 point)

**Answer:**

**Step-by-step explanation:**

To calculate the final account balance for a savings account with an initial deposit of $5,460.75, compounded semiannually with an interest rate of 3.92%, for 51 months, we need to use the formula:

**A = P * (1 + r/n)^(nt)**

where A is the final account balance, P is the initial deposit, r is the interest rate (as a decimal), n is the number of times the interest is compounded in a year, t is the number of years, and nt is the number of compounding periods.

In this case, n = 2 (since the interest is compounded semiannually), r = 3.92%/100 = 0.0392, t = 51 months / 12 months/year = 4.25 years, and nt = 2 * 4.25 = 8.5.

Substituting the values into the formula, we get:

A = $5,460.75 * (1 + 0.0392/2) ^ (8.5)

A = $5,460.75 * 1.0196^8.5

A = $5,460.75 * 1.2408

A = $6790.32

So, the final account balance if the initial deposit is invested with interest compounded semiannually is** $6790.32.**

B) Comparing the final account balance of the simple interest account and the compound interest account, we can see that the compound interest account yields a higher balance ($6790.32) than the simple interest account ($6370.51). This is because compounding interest allows for the interest earned in one period to be reinvested, so the interest earns interest in future periods, which increases the overall amount of interest earned over time. In contrast, simple interest is calculated only on the initial deposit, so the amount of interest earned remains constant over time.

listed below are several sets of soil properties and soil descriptions. match the properties with the descriptions. a) fibrous peat with some sand from ann arbor, michigan b) bentonite (montmorillonite) from billings, montana c) glacial outwash from palmer, alaska d) volcanic ash from hilo, hawaii e) glacial till from chicago, illinois
Can you pls help me with this
What are the 7 metric units?
The famous indigenous leader who was murdered while in federal custody during the ghost dance outbreak in 1890, as __________________?
PART G: Let c be the unknown side of the triangle. Use this triangle calculator to solve for c. Under Sides, enter 7 for side a and 9 for side b. Under Angles, enter 74 for angle C. Click Calculate once you have entered the information. What is the length of side c?Part HNow try to construct a triangle using a different set of measurements. This time, youll enter three angle measurements. Return to the Calculator tab, and click the Clear button to begin a new calculation.Under Angles, enter 45 for A, 40 for B, and 95 for C. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given angles.Part JReturn to the Calculator tab, and click the Clear button to begin a new calculation. This time, youll check for valid triangles given two angles and the side between them.Under Sides, enter 5 for a. Under Angles, enter 30 for B and 50 for C. Then click Calculate. How many triangles can be created from the given conditions?Part KReturn to the Calculator tab, and click the Clear button to begin a new calculation. This time, youll check for valid triangles given three sides of specified length.Under Sides, enter 6 for a, 7 for b, and 13 for c. Then click Calculate. What happened? What message did the tool deliver? Explain the message in terms of the properties of a triangle and the given side lengths.please help!
selecting the range before you enter data saves time because it confines the movement of the active cell to the selected range. t/f
Turkish armies raided northern India for several centuries, finally establishing an Islamic dynasty at? lot's of point's please help me please
Can I possibly get help with #1?The question is attached as an image:
a certain country's factory sales of electronic goods to dealers from 1990 through 2001 can be modeled as
How to write Literacy Narrative
Which traits developed before shearing teeth? Select all that apply. (5 points)four limbsamniotic egg furretractable claws
according to theory, an organization's design should permit each function to develop a structure that suits its human and technical resources. group of answer choices strategic choice transaction cost resource dependence contingency
identify the four tectonic settings of igneous activity.
All of the following are found in the cell walls of gram-positive bacteria EXCEPT N-acetylglucosamine lipoteichoic acidteichoic acid peptidoglycan lipid A
Why do you think Shakespeare emphasizes the passing of time in this Act 2 Scene 5?
10. What is the length ofside a?22.9.36 cm15cm39 cma
which of these structures is a separate generation from the plant sporophyte?
A. Jenna too was thrilled to hear from the car dealer that the red Ford Mustang ordered three months ago had finally arrived.B. Jenna too was thrilled to hear from the car dealer that the red, Ford Mustang ordered three months ago had finally arrived.C. Jenna, too, was thrilled to hear from the car dealer that the red Ford Mustang ordered three months ago had finally arrived.D. Jenna, too, was thrilled to hear from the car dealer that the red, Ford Mustang ordered three months ago had finally arrived.
according to the reading, the author defines data science as the art of uncovering the hidden secrets in data. 1 point true. false
1. Eutrophicationa. The number of natural resources used to support an individual's lifestyle2. Biologicalaugmentationb. The result of pollutants reacting with water in the air to form sulfuric acid, which fallsback to the earth's surface in rain, snow, sleet, or fog3. Ecologicalfootprintc. When fertilizers, animal waste, or sewage flow into waterways, causing algal bloomsand depriving other organisms of oxygenWAd. Adding natural predators to a damaged ecosystem4. Biodiversityhotspote. Areas of high biodiversity that have been significantly impacted by human activities5. Acidprecipitation