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Ulleksa [173]
1 year ago
12

6. A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a hei

ght of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.
Mathematics
1 answer:
SSSSS [86.1K]1 year ago
5 0

Answer:

V = 682.66667

Step-by-step explanation:

You might be interested in
If the volume of a prism is 30 ft3, what is the volume of a pyramid with the same base area and height?
-BARSIC- [3]

Answer:

10 ft cubed

Step-by-step explanation:

The volume of a pyramid is 1/3 the volume of a prism with the same base area & height.

30/3=10

3 0
3 years ago
A business could not collect $5,000 that it was owed. The total owed to the business was $100,000. What fraction of the total wa
son4ous [18]

Total owed to the business = $100,000

amount that could not be collected = $5000

Fraction of total not collected

\text{fraction not collected=}\frac{5000}{100000}=\frac{5}{100}=\frac{1}{20}

3 0
1 year ago
How to solve 3.5x = 14.7​
Anna [14]

Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

6 0
3 years ago
Read 2 more answers
Whats the ratio of 200 over 40 and 25 over x
otez555 [7]

I believe the answer is 5.

200 divided by 25 is 8

40 divided by 8 is 5

8 0
3 years ago
Granola Crunch cereal is packaged in 1 pound boxes. Susan Torres, a quality control analyst who works for the manufacturer of th
sineoko [7]

Answer:

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

p_v =2*P(z>3.162)=0.0016    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.

Step-by-step explanation:

Data given and notation    

\bar X=1.02 represent the sample mean

\sigma=0.04 represent the population standard deviation    

n=40 sample size    

\mu_o =1 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.    

z 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.    

We need to conduct a hypothesis in order to check if the true mean is equal to 1 pound or no :    

Null hypothesis:\mu =1    

Alternative hypothesis:\mu \neq 1    

Since we know the population deviation, 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".    

Calculate the statistic    

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

z=\frac{1.02-1}{\frac{0.04}{\sqrt{40}}}=3.162    

P-value    

Since is a two-sided test the p value would be:    

p_v =2*P(z>3.162)=0.0016    

Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to to reject the null hypothesis, so we can conclude that the true mean is different from 1 pound at 5% of signficance.    

5 0
3 years ago
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