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bixtya [17]
4 years ago
9

The figure (triangular prism) below has a height of 18 inches and a volume of 864 cubic inches. What is the area of the base of

the figure? A. 7776 in B. 48 in C. 24 in D. 162 in
Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
5 0

Answer:

The answer is B.

Step-by-step explanation:

It is given that the formule of volume of prism is V = a × h where a stands for area of cross-section. Then, substitute the following value into the formula :

V = 864 in³

h = 18 in

a = ?

864 = a × 18

Next, you have to make a as the subject by dividing 18 on both sides :

864 ÷ 18 = a × 18 ÷ 18

48 = a

a = 48 in²

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8.4 becomes 840
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3 years ago
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24% of U.S. adults say they are more likely to make purchases during a sales tax holiday. you randomly select 10 adults. find th
neonofarm [45]

Answer:

a) p(X= 2) = 0.261

b) P(x>2) = 0.566

c) P(2<x<5)  = 0.334

Step-by-step explanation:

Given 24% of U.S. adults say they are more likely to make purchases during a sales tax holiday

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By using Poisson distribution

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a)

The probability of getting exactly '2'

The probability p(X= 2) = e^{-\alpha } \frac{\alpha^r }{r! }

p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }

p(X= 2) = e^{2.4 } \frac{\(2.4)^2 }{2! }= 0.261

b) The probability of getting more than '2'

P(X>2) = 1- {p(x=0)+p(x=1)+p(x=2)}

                = e^{-2.4 } \frac{(2.4)\^0 }{0! }+ e^{-2.4 } \frac{(2.4)\^1 }{1!}+e^{-2.4 } \frac{(2.4)\^2 }{2!}

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P(x>2) = 0.566

c) The probability of getting between  two and five

P( 2<x<5) = P(x=3)+p(x=4) == e^{-2.4 } \frac{(2.4)\^3 }{3! }+ e^{-2.4 } \frac{(2.4)\^4 }{4!}+

P(2<x<5) = 0.2090 + 0.125 = 0.334

4 0
3 years ago
9. A triangle is dilated using a scale factor of 4. The image is then dilated
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Answer:

4-3=1

Step-by-step explanation:

it was dilated by 1

dunno what this was really  askin tho

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15 POINTS PLEASE HELP IVE ONLY GOT 10 MINS
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C is what I think it is
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Answer:

Step-by-step explanation:

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