F-1(x) = -5(x + 8) what is my domain?<br><br>can someone review my answer?

A bulletin board has a perimeter of 200 inches. Which expression expresses the area A(w) of the bulletin board as a function of

mr Goodwill [35]

Answer:

area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w- $w^{2}$

Step-by-step explanation:

let, the shape of the bulletin board is a rectangle,

then the perimeter of it = sum of all sides

= 2[length+width] = 2[l+w]

(let l: length, w : width )

so, 200 = 2[l+w]

100= l+w ( dividing both the sides by 2)

so, l= 100-w

area = length*width=l*w=[100-w]*w

therefore,area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w- $w^{2}$

6 0

3 years ago

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With

Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.074)=0.0381$

Step-by-step explanation:

Data given and notation n

n represent the random sample taken

$\hat p$ estimated proportion of interest

$p_o=0.36$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .

Calculate the statistic

For this case the statistic is given:

$z = 2.074$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.074)=0.0381$

5 0

3 years ago

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that

mojhsa [17]

6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

<h3>What is percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

Zoey wants to use her computer tablet throughout a 6-hour flight. Upon takeoff, she uses the tablet for 2 hours and notices that the battery dropped by 33%, from 100% to 67%.

Let's suppose x hours Zoey can expect from the tablet on a full battery charge.

The value of x can be calculated using:

x = (2×100)/33

x = 200/33

x = 6.06 ≈ 6 hours

Thus, 6 hours Zoey can expect from the tablet on a full battery charge if the battery dropped by 33%, from 100% to 67%.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ1

7 0

2 years ago

Assume that a student is chosen at random from a class. Determine whether