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svetlana [45]
3 years ago
13

The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of

13 inches what is the costant of proportionality for the group of boxes
Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

V = kl

Putting V = 325 and l = 13

325 =k(13)\\k = \frac{325}{13}\\k = 25

Hence,

The constant of proportionality for the group of boxes is: 25

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sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that \mu = 32, \sigma = 1.5

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 32}{1.5}

X - 32 = -1.645*1.5

X = 29.5

Heights of 29.5 and below could be a problem.

4 0
2 years ago
At what rate will £420 yield<br>£70 in 4 years​
Bumek [7]

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

6 0
2 years ago
Please help me! That would be great if you can.
erik [133]
Answer should be 3 I’m pretty sure
5 0
3 years ago
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Students collected $441 for a donation camp. Each student have as many dollars as there were students. How many students are the
Alexandra [31]

Answer:

There are 21 students.

Step-by-step explanation:

If there are 21 students, and each of them had $21 then this would equal a total of $441 because 21 multiplied by 21 equals 441.

Hope this helps,

Trey

6 0
3 years ago
Use distributive property to write and expression equivalent to 7 (48)
-BARSIC- [3]
Did you mean 7 (4+8)?
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