3/4x8/9 as simpiest form

a company is expanding its building area from 17,500 square feet to 21,175 square feet. what is the percentage increase of the a

NikAS [45]

Let's make an equation.

19,000x=24,320

This equation shows the percentage increase, which is x. Once we have x, we need to subtract 1 from it since in the equation the 1 shows that it's increeasing. All we need to do is divide both sides by 19,000.

24,320÷19,000

1,28-1=0.28; we need to multiply by 100 to find the increase.

0.28×100=28

So, the percentage increase is 28%.

3 0

3 years ago

Which number line model represents the expression -2/5 + 4/5

Akimi4 [234]

Hi

-2/5 + 4/5 = 2/5..................

5 0

3 years ago

Women athletes at the a certain university have a long-term graduation rate of 67%. Over the past several years, a random sample

lana [24]

Answer:

$z=\frac{0.579 -0.67}{\sqrt{\frac{0.67(1-0.67)}{38}}}=-1.193$

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.1$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the proportion of women athletes graduated is not significantly lower than 0.67 or 67% at 10% of significance

Step-by-step explanation:

Data given and notation

n=38 represent the random sample taken

X=22 represent the number of women athletes graduated

$\hat p=\frac{22}{38}=0.579$ estimated proportion of women athletes graduated

$p_o=0.67$ is the value that we want to test

$\alpha=0.1$ represent the significance level

Confidence=90% or 0.90

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 lower than 0.67 or no:

Null hypothesis: $p \geq 0.67$

Alternative hypothesis: $p < 0.67$

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 $\hat p$ 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:

$z=\frac{0.579 -0.67}{\sqrt{\frac{0.67(1-0.67)}{38}}}=-1.193$

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 $\alpha=0.1$ . The next step would be calculate the p value for this test.

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

$p_v =P(z$

So the p value obtained was a very high value and using the significance level given $\alpha=0.1$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can conclude that the proportion of women athletes graduated is not significantly lower than 0.67 or 67% at 10% of significance

3 0

3 years ago

HELP PLEASE :/ math is not my bff

gtnhenbr [62]

1. None of the answer choices are correct, because the length that were to go with those numbers don't fit. The answer is D.

2. One coffee cost $4 and a latte would cost $2.50, because the other prices for a cup of coffee would exceed the price of the total of two coffees plus one latte and three coffees plus two lattes. The answer is A: $4.00.

3. This one has to be A, because you're finding how many nickels and dimes there are together if there are 24 coins. A nickel is 5 cents each and a dime is 10 cents each. The total of them combined is $1.85. The answer is A.

7 0

3 years ago

Correct answer gets brainliest.

Vesnalui [34]

TM = 1/2 KT

y+3 = 1/2(5y+3)

y+3 = 2.5y +1.5

y = 2.5y - 1.5

-1.5y = -1.5

y = 1

6 0

4 years ago