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andreyandreev [35.5K]
3 years ago
6

What is the volume of the rectangular pyramid shown belown?

Mathematics
1 answer:
Anna35 [415]3 years ago
7 0

9514 1404 393

Answer:

  168 cubic inches

Step-by-step explanation:

The formula for the volume of a pyramid is ...

  V = (1/3)Bh

where B is the area of the base, and h is the height.

The base is a rectangle, whose are is given by the formula ...

  A = LW

  A = (8 in)(7 in) = 56 in²

Then the pyramid volume is ...

  V = (1/3)(56 in²)(9 in) = 168 in³

The volume of the pyramid is 168 cubic inches.

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Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99​% confidenc
quester [9]

Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : \sigma= 13

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576  [Using z-table]

Then, the required sample size would be :

n=(\dfrac{(2.576)\cdot (13)}{8})^2

\Rightarrow\ n=(4.186)^2

\Rightarrow\ n=17.522596\approx18 [Round to next integer.]

Hence, the required minimum sample size = 18

4 0
3 years ago
Geometry ∠1 and ∠2 are vertical angles. If m∠1 = 17x + 1 and m∠2 = 20x – 14, find m∠2.
stiv31 [10]

Answer:

m∠2= 86

Step-by-step explanation:

since they are vertical angles, that means they are both equal to eachother.

so lets set them equal!

17x+1=20x-14

17x+15=20x

15=3x

x=5

now input x into m∠2

m∠2 = 20(5) – 14 = 86

7 0
3 years ago
A top is on sale for 30% off. If the top was originally $18.50, what is the sale
bearhunter [10]

Answer:

it will be $12.6 dollars

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A parking garage charges $1.50 for the 1st hour of parking and $0.75 for each additional hour. What is the cost in dollars for p
QveST [7]
The equation you have to solve is 1.50 + (0.75 • 6). First, you solve what is in the parenthesis, 0.75 • 6 = 4.50. Now you simply add 1.50 and 4.50 to get $6, the total cost for 7 hours worth of parking. 
8 0
3 years ago
Subtract 7x-9 from2x^2-11
strojnjashka [21]

Answer:

The answer is: 2x^2-7x-2

Step-by-step explanation:

we are asked to subtract 7x-9 from 2x^2-11

so, 2x^2-11-(7x-9)\\=2x^2-11-7x+9\\=2x^2-7x-2.

Hence the desired result is:  2x^2-7x-2.


8 0
3 years ago
Read 2 more answers
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