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4 years ago

Which expression is a perfect cube? A.x^8 B.y^24 C.m^28 D.s^64

Mathematics

2 answers:

Phoenix [80]4 years ago

6 0

B is your answer because when you take 24/3=8 but when you take 8/3 or 28/3 or 64/3 you will get a decimal. <span />

valentina_108 [34]4 years ago

4 0

The answer is A

Try breaking down each solution into cubic form.

A) a^8 = ((a^2)^3) (perfect cube because 2 is a prime number)

B) a^24 = (((a^2)^3)^2) (not a cube because of the 2)

C) a^28 = ((a^2)^2)^7 (not a cube because of 7)

B) a^64 = (((a^2)^32) (not a cube since 32 is not a factor of 3)

Hope I helped :)

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The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10

steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

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

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

It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, $\mu = 70, \sigma = 3$ .

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

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

$Z = \frac{67 - 70}{3}$

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

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

$Z = \frac{45 - 70}{3}$

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0

3 years ago

The area of a rectangular carpet is 54 square feet. The length is three feet more than the width. Find the length and the width

bezimeni [28]

It’s 432 gugugjhhhhhhhhhhhhhhh

6 0

3 years ago

A man can walk from A to B and back in a certain time at 7 km/hr.If he walks from A to B at 8 km/hr and returns from B to A at 6

DerKrebs [107]

We calculate the speed by dividing the distance over time:
s = d/t
So the distance described in the problem is always the same, A to B and B to A.
But we are told that;
7 = d/t
7 = 2d/(t + 2)
that is, the first equation say that at speed 7 km/h a distance d is walked in a time t
the second equation say that at a average speed of 7 (that is 8 on one way and 6 in the other: 8 + 6 = 14, half of it), twice the distance is walked in a time equal to the first time plus 2 minutes.
So we have a system of linear equations, 2 of them with two unknowns, we can solve that:
7 = d/t
7 = 2d/(t + 2<span>)
</span>lets simplify them:
7t = d
7(t + 2) = 2d
7t = 2d - 14
we substitute the first in the second:
<span>7t = 2d - 14
</span><span>7t = d
</span>so:
d = 2d - 14
d = 14
so the distance between A and B is 14 km

4 0

4 years ago

Ken paid $12 for two magazines. The cost of each magazine was a multiple of $3. What are the possible prices of the magazines?

blsea [12.9K]

Answer:

$6 each

Step-by-step explanation:

the first 10 multiples of 3 are 3,6,9,12,15,18,21,24,27,30

3×2=6

6+6=12

7 0

3 years ago

What does 1 1/8 X 1/9 =

Alona [7]

Answer: 11/8 * 1/9 = 11/72

Step-by-step explanation:

Btw, * means multiply

It equals 11/72 because if you multiply the numerator 11*1, it equals 11. If you multiply the denominator, 8*9, it equals 72. So it equals 11/72, and it cannot be simplified. Hope this helps! :3

4 0

3 years ago