The length of the escalator is 36 ft and the

Kitty [74]

Make drawing (see attachment)
do big rectangle minus triangle

big rectangle area=lenght timess width=22 times 33=726 square feet
triangle=1/2 times base times height=1/2 times 9 times 10=45 square feet

rectangle-triangle=726-45=681 square feet

4 0

3 years ago

60 POINTS HELPP!!

artcher [175]

Answer:

it is 14

Step-by-step explanation:

if X=14 then Y=84

6 0

2 years ago

Read 2 more answers

All first-year students at Red State University must take calculus, English composition, or both. If half of the 2,400 first-yea

seraphim [82]

Answer:

The correct option is D) 1,600.

Step-by-step explanation:

Consider the provided information.

Half of the 2,400 first-year students at Red State University take calculus and half do not.

That means 1200 students take only English.

One-third of those who take Calculus also take English Composition, we can say

1200 take calculus and one third of it is: $\frac{1200}{3}=400$

400 take Calculus also take English Composition.

Thus, the total number of students taking English Composition = 400 + 1200 = 1600

Hence, the correct option is D) 1,600.

5 0

3 years ago

9. Latoya's mom makes her a birthday cake in the shape of an "L". Latoya loves frosting,

Zarrin [17]

Answer:

223

Step-by-step explanation:

find the area for each side.

7 0

2 years ago

A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in deter

lbvjy [14]

Answer:

$z=\frac{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25$

$p_v =P(z>1.25)=0.106$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who favored candidate A is not significalty higher than 0.8

ii) not significantly greater than 80%

Step-by-step explanation:

Data given and notation

n=100 represent the random sample taken

$\hat p=0.85$ estimated proportion of people who favored candidate A

$p_o=0.8$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

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 higher than 0.8.:

Null hypothesis: $p\leq 0.8$

Alternative hypothesis: $p > 0.8$

When we conduct a proportion test we need to use the z statistic, 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 $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.85 -0.8}{\sqrt{\frac{0.8(1-0.8)}{100}}}=1.25$

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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>1.25)=0.106$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who favored candidate A is not significalty higher than 0.8

ii) not significantly greater than 80%

8 0

2 years ago