The radius of a circle increases from 2 inches to 3 inches. By how many square inches does its area increase? A)5 pi B)2 pi C)Pi D)pi^2

Answer:

d. The bias will remain the same and the variance will increase.

Step-by-step explanation:

Sample size and bias:

800 is still a large sample size, so the bias will remain the same.

Variance:

From a data set of size n with mean M, the variance is given by:

\(V = \sum_{i=0}^{n} \frac{(x_i - M)^2}{n}\)

So as we decrease the sample size, variance increases.

So the correct answer is given by option d.

They do have the following relation for a random selection of n elements from a population with a mean of p and variation \(\sigma^2\).

         \(\to \mathbb{E} (\bar{x}) = \mu;\\\\\to Var(\bar{x}) = \frac{\sigma^2}{n}\)    (where \(\bar{x}\) is the sample mean)

Therefore, the answer is "Option C".

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Answer:

\( ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The confidence interval is 95% and the significance level is \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\) and the critical value would be:

\(z_{\alpha/2}= 1.96\)

And the margin of error would be:

\( ME = 1.96 \sqrt{\frac{0.225 (1-0.225)}{240}}= 0.0528\)

Step-by-step explanation:

We have the following info given:

\( n =240\) the sample size selected

\(X=54\) the number of people who lease a car

\(\hat p =\frac{54}{240}= 0.225\) the estimated proportion of people who lease a car

The margin of error is given by:

\( ME= z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\)

The confidence interval is 95% and the significance level is \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\) and the critical value would be:

\(z_{\alpha/2}= 1.96\)

And the margin of error would be:

\( ME = 1.96 \sqrt{\frac{0.225 (1-0.225)}{240}}= 0.0528\)

Answer:

x = 9

Step-by-step explanation:

x + 3 = 2x - 6
3 + 6 = 2x - x
9 = x
x = 9

Hope this helped have a great day!

The most appropriate choice for functions will be given by -

f (x) - (-g(x)) =  f(x)  + g(x) holds for  f(x)=3x-7-and g(x) = -2x+5.

f (x) - (-g(x)) =  f(x)  + g(x) holds for every functions

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

For f(x) - (-g(x))

-g(x) = -(-2x  + 5)

       = 2x - 5

f (x) - (-g(x)) = (3x - 7) - (2x - 5)

                      3x - 7 - 2x + 5

                       x - 2

For f(x)  + g(x)

f(x)  + g(x) = (3x - 7) + (-2x + 5)

                = 3x - 7 - 2x + 5

                = x - 2

So f (x) - (-g(x)) =  f(x)  + g(x) holds here

Since addition and subtractions can be done on functions,

f (x) - (-g(x)) =  f(x)  + g(x) holds for every functions.

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Answer:

The unit rate of change is of \(\frac{3}{4}\)

Step-by-step explanation:

We are given a set of points (x,y).

To find the unit rate of change, we take two points, and divide the change in y by the change in x.

Points (4,9) and (8,12)

Change in y: 12 - 9 = 3

Change in x: 8 - 4 = 4

Unit rate of change: \(\frac{3}{4}\)

Answer:

may be interview sampling

Step-by-step explanation:

because here is eord interview

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

The value of the missing segment n using the product of intersecting chord theorem is 14cm

The product of the segments of two intersecting chords are equal.

The segments of the chords ;

Chord 1 = 4 and n

Chord 2 = 7 and 8

The principle can be related Mathematically thus ;

4 × n = 7 × 8

4n = 56

Divide both sides by 4

4n/4 = 56/4

n = 14

Therefore, the value of n in the question is 14cm

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Answer: this equation has 5 zeroes.

Step-by-step explanation:

The number of zeroes in any number can be found by,

we have expression as

\(5*10^{5}\)

now ;

10*10 has 2 zeroes;

10*10*10 has 3 zeroes;

similarly ;

this equation has 5 zeroes.

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Answer:

none

Step-by-step explanation:     105×5=525

Answer:

Step-by-step explanation:

Let's create an equation:

\(5y = 135\)

( Being vertically opposite angles)

Now, let's solve

Divide both sides of the equation by 5

\( \frac{5y}{5} = \frac{135}{5} \)

Calculate

\( y = 27\)

Hope this helps...

Best regards!!

Step-by-step explanation:

\(0.6 \times 549 = 329.40\)

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

  the input (x) values of the relation

Step-by-step explanation:

The domain of a relation is the set of input values. On a graph, it is the horizontal extent of the graph. For a set of ordered pairs, the domain is the set of all first numbers in the pairs.

Predictions involving the use of more than one dependent variable and the sampling technique related to assigning samples to a certain number of groups utilize multiple regression and cluster sampling respectively.

Regression models are used to make prediction models based on a set of a given independent and dependent variables. When the dependent variables to be used is more than one, then a multiple regression model should be adopted. In the case of just one dependent variable, the model adopted ls a linear regression model.

Hence, the multiple regression technique should be adopted.

Cluster sampling technique involves the used of a certain number of points called clusters upon which samples or variables of related elements are grouped together. Therefore, in these scenario, the 10 showing of the fim are clusters and attendees related to each showings are the cluster samples.

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Answer:

See attachment for graph

Step-by-step explanation:

Given

\(3x - 4y = 8\)

Required

Graph the line

First, we calculate the intercepts

Set x = 0

So:

\(3x - 4y = 8\)

\(3*0 - 4y = 8\)

\(- 4y = 8\)

Divide by -4

\(y = -2\)

So, we have:

\((x,y) = (0,-2)\)

Next, set y = 0

So:

\(3x - 4y = 8\)

\(3x - 4 * 0 = 8\)

\(3x = 8\)

Divide by 3

\(x = 8/3\)

So, we have:

\((x,y) = (8/3,0)\)

The graph to be plotted must pass through \((x,y) = (0,-2)\) and \((x,y) = (8/3,0)\)

Here's my answer

hope it helps

Answer:

the answer is number 1 !!

• correct me if I'm wrong

Answer:

I suggest that you use Socratic to solve this.

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\huge\textbf{This equation requires us to do}\\\huge\textbf{distributive property.}\)

\(\huge\textbf{If you're unsure what the}\\\huge\textbf{distributive property formula is,}\\\huge\textbf{it is: }\)

\(\large\textbf{a(b + c)}\)

\(\large\textbf{= a(b) + a(c)}\)

\(\large\textbf{= ab + ac}\)

\(\huge\textbf{Now, that we have that information}\\\huge\textbf{out of the way, we can find the}\\\huge\textbf{result of your given equation.}\)

\(\huge\textbf{Your equation that you provided:}\)

\(\large\textbf{2(3x + 5)}\)

\(\large\textbf{= 2(3x) + 2(5)}\)

\(\large\textbf{= 6x + 10}\)

\(\huge\textbf{Do you see how interesting it was to}\\\huge\textbf{find the result to the question? }\huge\boxed{:)}\)

\(\huge\textbf{Anyway! Let's label our result since}\\\huge\textbf{we found it already while working it out.}\)

\(\huge\textbf{Thus, your answer should be: \boxed{\mathsf{6x + 10}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjo your day!}\)

The minimum number of aunts that Shamar must have based on the information provided is 10.

It is known that uncles will take a photograph in groups of 10, while aunts will take a photograph in groups of 5. Based on this, the possible number for each are:

Uncles: 10, 20, 30, 40, 50

Aunts: 5, 10, 15, 20, 25

In this case, the minimum number is the LCM or Least Common Multiple and based on the previous list, this number is 10.

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Answer:

2123

Step-by-step explanation:

10^3 is the same as 1000. 2.123 times 1000 is 2123

Answer:Quantitative data

Step-by-step explanation:

Answer:

Quantitative data

The tοtal interest paid οver the 5-year lοan periοd wοuld be $4,605.

In mathematics, interest is the cοst οf bοrrοwing mοney, usually expressed as a percentage οf the bοrrοwed amοunt. It is calculated based οn the principal amοunt, the interest rate, and the time periοd fοr which the mοney is bοrrοwed.

Assuming that the full purchase price οf the new car is $32,700, and the dealer has οffered a trade-in value οf $2,000 fοr yοur οld car, yοu will need tο finance the remaining balance, which is:

$32,700 - $2,000 = $30,700

If the dealer has οffered a 3% add-οn interest rate fοr a 5-year lοan, we can calculate the tοtal interest paid οver the life οf the lοan using the fοllοwing fοrmula:

Tοtal interest = (Principal × Interest rate × Lοan term) ÷ 2

Substituting the given values intο the fοrmula, we get:

Tοtal interest = ($30,700 × 0.03 × 5) ÷ 2

Tοtal interest = $4,605

Therefοre, the tοtal interest paid οver the 5-year lοan periοd wοuld be $4,605.

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The x-values that are excluded from the solution set of the rational fraction are; 3 and -1.

The solution for x which satisfies the rational equation is; 4/3.

According to the task content, it follows that the rational expressions whose solution is to be determined is;

\(\frac{5}{x+1}+\frac{1}{x-3} = \frac{-6}{x^{2}-2x-3}\)

Hence, since the expression; x² -2x -3 = (x-3) (x+1).

It follows that the exclusions to the solution set of X-values are the values which render any part of the equation undefined; which are; x = 3 and x = 1.

To solve the equation; we must multiply both sides of the equation by; (x-3) (x+1) so that we have;

5(x-3) + 1(x+1) = -6

5x -15 + x +1 = -6

6x = -6 +14

6x = 8

x = 4/3

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The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer:

29+3374=32483 that is the solution for the question

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

3(9)+20=47

Step-by-step explanation:

47 inches after 9 weeks

The cost of the car is $59,711.4.

Since,  A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100.

Given here:

Price of the car = $46,890.00,

percent down: 26%,

finance cost: $792.00 per month for 60 months

Thus Total cost= $46,890.00×0.26+60×792

                        = $12191.4 + $47520

                        = $59,711.4

Hence, The cost of the car is $59,711.4

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a) The account with the largest balance is D. Rent A Truck which is $165.

b) The open account is D. Rent A Truck.

c) Since it takes seven years for negative credit history to be removed from a person's credit report, the year that the late payment at Rent A Truck will be removed is 2016, specifically by the end of February 2016.

A credit report records the borrower's credit history from various sources, including banks, credit card companies, collection agencies, and governments prepared by the following credit reporting bureaus: Equifax, Experian, and TransUnion.

An open account refers to a credit that has not been fully discharged.

Unlike a closed account, the open account remains operational, with debit and credit transactions recorded, including finance charges and credit reports issued from it.

Thus, based on the facts supplied, Rent A Truck is the only open account because the other three have been closed.

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Answer:

There are 9 total marbles