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blsea [12.9K]
3 years ago
11

Carson packed his movies in a box that is in the shape of a rectangular prism. The height of the box is 17 inches. The length of

the box is 1.5 times the height. The volume of the box is 5,635.5 cubic inches. What is the width of the box?
Mathematics
1 answer:
Sophie [7]3 years ago
7 0

Answer:

Width: <u>13</u> inches

Step-by-step explanation:

To find the width of prism you would have to divide the volume of the prism by the area of the cross section.

First calculate the area of the cross section of the prism:

17 × 25.5= 433.5

Then divide the cross section area by the volume:

5635.5 ÷ 433.5= 13  

The width is <u>13 inches</u>

You might be interested in
) a pair of fair dice is rolled. what is the probability that the sum of the top faces is a number 10 or greater?
andrezito [222]
Possible number combinations are 1,1  2,1  3,1  4,1  5,1  6,1  1,2  2,2  3,2  4,2  5,2  6,2  1,3  2,3  3,3  4,3  5,3  6,3  1,4  2,4  3,4  4,4  5,4  6,4  1,5  2,5  3,5  4,5  5,5  6,5  1,6  2,6  3,6  4,6  5,6 and 6,6. of those 36 number combinations the ones that add up to more than 10 include: 4,6  5,5  5,6  6,4  6,5  6,6. thats 6 number combinations. 6/36 of the possible sums of the top faces equal out to 10 or more. 6/36=1/6=0.166666666666666666666666(repeating) and to put that in a percentage, 16.7%
the probability is 16.7%
Hope this helps.
5 0
2 years ago
ILL MARK BRAINLIESTTTTT
zaharov [31]

Answer:

0.075 inches per year

Step-by-step explanation:

The average rate of change is measured as

( difference in diameter ) ÷ ( difference in years )

= ( 251 - 248 ) ÷ ( 2005 - 1965 )

= 3 inches ÷ 40 years

= 0.075 inches per year

7 0
2 years ago
A circle has a radius of \blue{5}5start color #6495ed, 5, end color #6495ed. An arc in this circle has a central angle of 162^\c
Andrew [12]

Answer: 9/2π

20 / 9 = 10π  s

20 /9  *10π= s

2 /9  π = s

4 0
2 years ago
A survey showed that 77​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 22 adults are
Sveta_85 [38]

Answer:

The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight​ correction .

Step-by-step explanation:

A survey showed that 77​% of adults need correction for their eyesight.

If 22 adults are randomly​ selected, find the probability that no more than more than 11 of them need correction for their eyesight.

n =22

p = 0.77

q = 1-p = 1- 0.77=0.23

We are supposed to find P(x\leq 11)

P(x\leq 11)=P(x=1)+P(x=2)+P(x=3)+.....+P(x=11)

Formula : P(x=r)=^nC_r p^r q^{n-r}

P(x\leq 11)=^{22}C_1 (0.77)^1 (0.23)^{22-1}+^{22}C_2 (0.77)^2 (0.23)^{22-2}+^{22}C_3 (0.77)^1 (0.23)^{22-3}+.....+^{22}C_{11} (0.77)^1 (0.23)^{22-11}

Using calculator

P(x\leq 11)=0.00512

So, The probability that no more than more than 11 of them need correction for their eyesight is 0.00512

No, 11 is not a significantly low low number of adults requiring eyesight​ correction .

3 0
3 years ago
Consider the division of 15h2 + 10h + 25 by 5h.
Studentka2010 [4]
(15h^2+10h+25)/(5h)
(15h^2+10h+25)/(5)
(3h^2+2h+5)/(h)
(15h^2+10h+25)/(5h)
(5h)(3h)=15h^2
(10h+25)/(5h)
(5h)(2)=10h
(25)/(5h)=5/h=\=
(15h^2+10h+25)/(5h)= 3h+2, with a remainder of 25
7 0
3 years ago
Read 2 more answers
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