The volume of a rectangular prism is 50 5/8 cubic inches.The dimensions are given below.

What is the missing value in the table?

--------------------------------------------------------------

Length Width Height

5 in. 214 in.

--------------------------------------------------------------

A) 79in.

B) 412in.

C) 134in.

D) 1018in.

Answers

Answer 1
Answer:

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Answer 2
Answer:

Final answer:

The missing value in the dimensions of a rectangular prism having a volume of 50 5/8 cubic inches, length 5 inches, and width 214 inches, is found by dividing the volume by the product of length and width. On calculating, it is found to be approximately 1/7 inches.

Explanation:

The volume of a rectangular prism is found by multiplying the length, width, and height together. Here, you are given the total volume (50 5/8 cubic inches) and two of the dimensions (length is 5 inches and width is 214 inches). Therefore, the missing value is the height. To find this, you should divide the total volume by the length and the width.

So, Height = Volume / (Length x Width) = (50 5/8) / (5 x 214) = 81/ 14, which gives approximately 1/7 inches. Hence, none of the options (A, B, C, D) is correct.

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A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

Answers

Answer: 125

The best prediction for the number of times a 4 will be drawn from the pile is:

A set of cards contains cards numbered 1 – 8.

So, the theoretical probability that 4 comes up is:

Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )

Hence, Theoretical Probability that 4 is drawn=1/8

Now, out of 1000 trials the best prediction of number of times 4 is drawn is:

(The probability of drawing 4)×(Number of experiments or trials)

=(1/8)×1000

=125

What is the length of AB?

15
9
4.5
18

Answers

Answer:

18

Step-by-step explanation:

Let X be the midpoint of the chord AB

Distance between X and the centre:

15-3 = 12

XB² = 15² - 12²

XB² = 81

XB = 9

AB = 2XB = 18

Answer:

4.5

Step-by-step explanation:

A limited edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. Which equation can be used to find the value,y, after x years? (Round money values to the nearest penny.)

Answers

y= 3.11x+ 17.59

I got this equation by doing 23.81-20.70 to find m, which is 3.11.
Then to find b, or y-intercept, I subtracted 3.11 from 20.70 to get the origin all price and got 17.59

Help with this math question please

Answers

38. H
The problem statement clearly states 80 were surveyed and only 2 ate Brand A. 2/80 = 2.5%.

39. C
The top trapezoid is similar to the bottom one. The dimensions of the top trapezoid are double those of the bottom one. 2×6600 ft = 13200 ft.

In this figure,AB | CD and
mZ2 = 60
m_6
What is
Enter your answer in the box.

Answers

Answer:

the measurement of angle 6 is 60

Angle 6 is 60........

The number of traffic accidents that occur on a particular stretch of road during a month follows a poisson distribution with a mean of 7.37.3. find the probability of observing exactly four four accidents on this stretch of road next month. round to six decimal places.

Answers

Let X be the number of traffic accidents that occur on a particular stretch of road during a month. X follows a Poisson distribution with a mean of μ =7.3

The probability function of X is given by

P(X=x) = (e^(-mean) (mean)^(x))/(x!)

We have mean =7.3

P(X=x) = (e^(-7.3) (7.3)^(x))/(x!)

Probability of observing exactly four accidents on this stretch of road next month is

P(X=4) = (e^(-7.3) (7.3)^(4))/(4!)

= (0.0006755 * 2839.8241)/24

P(X=4) = 1.9184113/ 24

P(X=4) = 0.0799338

P(X=4) = 0.079934

Probability that there will be exactly four accidents on this stretch of road next month is 0.079934