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3 years ago

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A company is expanding its building area from 11,000 square feet to 13,750 square feet. What is the percentage increase of the a

rea of the building space?A.75%
B.25%

C.2.5%

D.27.5%

2 answers:

enyata [817]3 years ago

7 0

Answer:

2.5

Step-by-step explanation:

theres really no explaination i can give youtake it or leave it sonny
ewwww this is werid im tryin to be smart
but really this answer is 100% right and im the first to answer i think lol

hjlf3 years ago

5 0

2.5=is the answer to the question

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How can $500 be divided between four people so that each person gets $20 more than the person before.

MA_775_DIABLO [31]

Answer:

$95, $115, $135, $155

Step-by-step explanation:

If the first person gets x dollars:

the next person gets 20 more, so x + 20 dollars

the next person gets x + 40 dollars

and the last person gets x + 60 dollars

We add all these allocations together, and we get $500

x + (x + 20) + (x + 40) + (x + 60) = 500

Combine like terms

4x + 120 = 500

Subtract 120 on both sides

4x = 380

Divide by 4 on both sides

x = 95

So the first person gets $95.

The second person must get $115

The third must get $135

And the fourth must get $155

Checking our work:

95 + 115 + 135 + 155 = 500

5 0

2 years ago

A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

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

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

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

$p_v =P(z>1.768)=0.039$

6 0

2 years ago

The diameter of a circle is 16 kilometers. Find the area of the circle.

Elden [556K]

The diameter of a circle is 16 kilometers. Then the area of the circle is $201.062 \mathrm{km}^{2}$

<u>Solution:</u>

Given that , the diameter of a circle is 16 kilometers

We have to find the area of the circle .

Radius is half of diameter.

$\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}$

<em><u>The area of circle is given as:</u></em>

$\begin{array}{l}{\text { area of a circle }=\pi \times r^2 \\ {\text { Area of a circle }=\pi \times 8^{2}=\pi \times 64=64 \times 3.14=201.062}\end{array}$

Hence, the area of the circle is 201.062 $km^2$

4 0

3 years ago

Find the height of the trapezoid. A trapezoid. The base lengths are 10 meters and 6 meters. The area is 40 square meters.

Andrew [12]

Answer:

5 meters

Step-by-step explanation:

A=a+b/2*h

40=10+6/2*h

40=8h

h=5

7 0

2 years ago

Read 2 more answers

How do you find the value of x?

Lelechka [254]

Lenth*with*height...

5 0

3 years ago