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3 years ago

Scores on the ACT exam have a N(μ = 18,σ = 6) distribution, while scores on the SAT

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

3 0

Answer:

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

Step-by-step explanation:

Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.

Xiaoyu:

z = $\frac{27 - 18}{6}$ = 1.5

Emily:

z = $\frac{720 - 500}{100}$ = 2.2

______

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

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Hannah is giving her sister a softball for her birthday, and wants to put it in a cubic gift box to preserve the surprise. She w

Inga [223]

Answer:

B. E(s) = s^3 - 29.

Step-by-step explanation:

The amount of empty space $E(s)$ inside the cubic box is equal to the volume of the box minus the volume of the softball.

If the side length of the cubic box is $s$ , and the volume of the softball is $29in^3$ , then the amount of empty space $E(s)$ inside is

$E(s) = s^3-29$ ,

where $s^3$ is the volume of the cubic box.

Since it matches the equation we got above, choice B stands correct.

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3 years ago

What is the coefficient of x^4y^4 in the expansion (x+y)^8?

Ivanshal [37]

Answer:

C. 70

Step-by-step explanation:

In the expansion of (a + b)^n, the k-th term is ...

nCk·a^(n-k)b^k . . . . . k = 0 to n; nCk = n!/(k!(n-k)!)

Here, we have n=8, k=4, so the term of interest is ...

8C4·x^4y^4 = (8·7·6·5)/(4·3·2·1)x^4y^4 = 70x^4y^4

The coefficient of the term is 70.

3 0

3 years ago

You work 35 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you e

rjkz [21]

Answer:

Hourly

Step-by-step explanation:

if you work for that long and for that many hours you would get alot of money in about a month or two.

4 0

4 years ago

Read 2 more answers

Pls help?!?!? With this

zhenek [66]

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

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3 years ago

He function f(d) = –3d + 60 gives the remaining life of a flashlight battery, in hours, d days after the start of a hike.

OLga [1]

D
The battery has 60 hours of life.

7 0

3 years ago