1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nitella [24]
3 years ago
5

A rectangular pyramid measures three feet by four feet at the base, and has a height of seven feet. Find its volume. A. 21 ft3 B

. 42 ft3 C. 28 ft3 D. 84 ft3
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

Answer:

C. 28 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid:

V = \frac{1}{3}Bh, where B = the area of the base and h = height of the pyramid

Since the base is a rectangle, we can find area using the formula:

A = l x w or A = 3 x 4 = 12 ft²

Using B = 12 and h = 7:

V = \frac{(12)(7)}{3}

V = 28 ft³

You might be interested in
Sharon drops a rubber ball from a height of 48 feet. Every bounce sends the
BARSIC [14]

Answer:

132

Step-by-step explanation:

48 first hit and rises 24

24 second and rises 12

12 third hit and rises 6

6 forth hit

48+24+24+12+12+6+6= 132

5 0
3 years ago
In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
DIA [1.3K]

Answer:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

X_{1}=1642 represent the number of smokers from the sample in 1995

X_{2}=1415 represent the number of smokers from the sample in 2010

n_{1}=4276 sample from 1995

n_{2}=3908 sample from 2010  

p_{1}=\frac{1642}{4276}=0.384 represent the proportion of smokers from the sample in 1995

p_{2}=\frac{1415}{3908}=0.362 represent the proportion of smokers from the sample in 2010

\hat p represent the pooled estimate of p

z would represent the statistic    

p_v represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:    

Null hypothesis:p_{1} = p_{2}    

Alternative hypothesis:p_{1} \neq p_{2}    

The statistic is given by:

z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}   (1)  

Where \hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374  

Replacing the info given we got:

z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055    

The p value can be calculated from the alternative hypothesis with this probability:

p_v =2*P(Z>2.055)=0.0399    

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0
3 years ago
What type of angle is formed by the base of a triangle and the segment you measure to find the height?
lesya692 [45]

Answer:

You get a 90 degree angle also known as the altitude of the triangle

Step-by-step explanation:

3 0
3 years ago
write two expressions that could be used to help you determine the new cost of a $415 television after adding a 6% sales tax
bearhunter [10]
1. 415 x 1.06 = 
2. 415 + (415 x 0.06) = 
8 0
3 years ago
If the population of a town grew 15% up to 76,894, what was the population lest year?
frozen [14]
Let's first find the equation to find what the population went up to. X, will be the population of last year.
1.15x=76,894
Now, we need x by itself, so we need to divide both sides by 1.15.
76,894÷1.15≈66,864
There are decimals, but for this problem, hae .3478 of a person would not fit.
We can check our answer.
66,864×.15=10,029.6
10,029.6+66,864=76,893.6 (rounds up to 76,864)
So the population of the town last year was about 66,864 (66,864.3478) people.
4 0
3 years ago
Other questions:
  • Can someone help? ?!?!?!????!?!
    12·1 answer
  • A statistician selected a sample of 16 accounts receivable and determined the mean of the sample to be $5,000 with a standard de
    9·1 answer
  • Pi times seventeen equals forty-seven
    13·1 answer
  • Which expression equals -(9x + 8) - 2(x -5)
    6·2 answers
  • Theoretical probability is approximated by conducting trials and recording the ratio for the number of occurrences of the event
    8·1 answer
  • Classify the following triangle. Check all that apply.
    6·2 answers
  • Find lim PLEASE I NEED HELP ASAP !!!!
    9·1 answer
  • In comparison 1/3to where would 3/9be
    11·1 answer
  • Help me quickly please
    15·2 answers
  • Do it for me with steps
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!