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3 years ago

Find the height of a square pyramid that has a volume of 75 ft.³ and a base length of 5 feet

Mathematics

1 answer:

elena-s [515]3 years ago

5 0

I don't know but I guess there is an answer

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Y=2x2

yaroslaw [1]

C. Every y-value is twice the square of its x-value

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3 years ago

How do you find the measure of each

bogdanovich [222]

Um, so it's a bit awkward with this question because they actually got the x value incorrect. When they added up all the values, they got 9x - 27 = 180, but it's actually 9x + 27 = 180 because -18 + 45 is positive 27. Anyways, when you solve it correctly you get x = 17, and then you substitute it into the angles. So with 5x - 18, you are saying 5(× 17) - 18 = 67. Then with the other one you do 4(× 17) + 45 = 113. You know that x is definitely 17 because 113 + 67 = 180.

4 0

3 years ago

The sum of two consecutive even integers is 118. Find the smaller of the two integers.

kaheart [24]

Answer:

58 + 60

Step-by-step explanation:

Even integers are always seperated by 2.

6 0

2 years ago

The one is for my younger sis Lindsay has to read a 72-page book in 6 days. If she reads an equal number of pages each day, how

lianna [129]

Answer:

D. she will need to read 12 pages a day

5 0

2 years ago

Read 2 more answers

Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and vis

docker41 [41]

Answer:

Explained below.

Step-by-step explanation:

In this case we need to determine if there has been an increase in the proportion of rooms occupied over the one-year period.

(a)

The hypothesis can be defined as follows:

H₀: The proportion of rooms occupied over the one-year period has not increased, i.e. p₁ - p₂ ≤ 0.

Hₐ: The proportion of rooms occupied over the one-year period has increased, i.e. p₁ - p₂ > 0.

(b)

The information provided is:

n₁ = 1750

n₂ = 1800

X₁ = 1470

X₂ = 1458

Compute the sample proportions and total proportions as follows:

$\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{1470}{1750}=0.84\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{1458}{1800}=0.81\\\\\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1470+1458}{1750+1800}=0.825$

(c)

Compute the test statistic value as follows:

$Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}$

$=\frac{0.84-0.81}{\sqrt{0.825(1-0.825)\times [\frac{1}{1750}+\frac{1}{1800}]}}\\\\=2.352$

The test statistic value is 2.352.

(d)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

$p-value=P(Z>2.352)=1-P(Z$

The p-value of the test is very small. The null hypothesis will be rejected at any significance level.

Thus, there enough evidence suggesting that there has been an increase in the proportion of rooms occupied over the one-year period.

7 0

2 years ago