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2 years ago

Please help I’ll Give you brainiest!❤️

Mathematics

1 answer:

UNO [17]2 years ago

4 0

Answer:

okay but you didn't send anything you need help with thank you.

Step-by-step explanation:

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The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. T

Anit [1.1K]

Answer:

a) 25

b) 67

c) 97

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample. In this problem, $\sigma = 0.25$

(a) The desired margin of error is $0.10.

This is n when M = 0.1. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.1 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.1\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.1}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.1})^{2}$

$n = 24.01$

Rounding up to the nearest whole number, 25.

(b) The desired margin of error is $0.06.

This is n when M = 0.06. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.06 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.06\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.06}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.06})^{2}$

$n = 66.7$

Rounding up, 67

(c) The desired margin of error is $0.05.

This is n when M = 0.05. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$0.05 = 1.96*\frac{0.25}{\sqrt{n}}$

$0.05\sqrt{n} = 1.96*0.25$

$\sqrt{n} = \frac{19.6*0.25}{0.05}$

$(\sqrt{n})^{2} = (\frac{19.6*0.25}{0.05})^{2}$

$n = 96.04$

Rounding up, 97

8 0

3 years ago

NEED HELP ASAP If f(x) = -9x -1 find the dependent variable if the independent value is 2

tensa zangetsu [6.8K]

Answer:

-19

Step-by-step explanation:

plug in 2 for x.

3 0

3 years ago

What is the distance between (8,-6) and (-1,-6)

MissTica

19 is the distance between those 2

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3 years ago

Read 2 more answers

Can the government offices be represented as a function of the ministers' names?

Marina86 [1]

Answer and explanation:

A function is given f(x)= y where x is independent variable and y is dependent variable. Y is a function of x therefore y takes up a value because x has a certain value, y is dependent on x values.

Therefore if government office y is a function of minister's name x then a government office would hold a particular value, example be named after the minister's name because it is dependent on the minister's name x

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3 years ago

What is the constant of variation,k, of the direct variation,y=kx,through (5,8)

grigory [225]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $\frac{y}{x}=k$ or $y=kx$