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mote1985 [20]
2 years ago
8

PLEASE HELP ASAP WITH#4

Mathematics
1 answer:
Fynjy0 [20]2 years ago
5 0
Answer:
B.

Explanation:
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Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 a
krok68 [10]

Answer:

Jessie scored higher than Reagan.

Step-by-step explanation:

We are given that Reagan scored 1140 on the SAT. The distribution of SAT scores in a reference population is normally distributed with mean 1000 and standard deviation 100.

Jessie scored 30 on the ACT. The distribution of ACT scores in a reference population is normally distributed with mean 17 and standard deviation 5.

For finding who performed better on the standardized exams, we have to calculate the z-scores for both people.

1. <u>Finding z-score for Reagan;</u>

Let X = distribution of SAT scores

SO, X ~ Normal(\mu=1000, \sigma^{2}=100^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 1000

            \sigma = standard deviation = 100

Now, Reagan scored 1140 on the SAT, that is;

       z-score  =  \frac{1140-1000}{100}  =  1.4

2. <u>Finding z-score for Jessie;</u>

Let X = distribution of ACT scores

SO, X ~ Normal(\mu=17, \sigma^{2}=5^{2})

The z-score probability distribution for the normal distribution is given by;

                                    Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 17

            \sigma = standard deviation = 5

Now, Jessie scored 30 on the ACT, that is;

       z-score  =  \frac{30-17}{5}  =  2.6

This means that Jessie scored higher than Reagan because Jessie's standardized score was 2.6, which is 2.6 standard deviations above the mean and Reagan's standardized score was 1.4, which is 1.4 standard deviations above the mean.

6 0
3 years ago
Suppose f is a function. If 10 = f(-4), find the coordinates of a point on the graph of f?
Rashid [163]

Given:

For a function f, 10 = f(-4).

To find:

The coordinates of a point on the graph of f.

Solution:

We have,

10 = f(-4)

It means the value of function f is 10 at -4.

On a coordinate plane x-axis represents the input values and y-axis represents the output values of a function. So,

x-coordinate = input value = -4

y-coordinate = output value = 10

Therefore, the required coordinates of a point on the graph of f are (-4,10).

5 0
3 years ago
In 3 1/8 hours Aldo reads 7 1/2 chapters. What is the unit rate in chapters per hour ?
geniusboy [140]
Use a calculator

Just look up how to find unit rates and it should be easy
8 0
3 years ago
Is (1,9) a solution to this system of<br> equations?<br> y = x + 6<br> y = 2x + 7?
Alex Ar [27]

Answer:

No, the solution of the system is (-1,5)

5 0
3 years ago
What is 9.35pm in the 24 hour clock.
erma4kov [3.2K]

Answer:

21: 35

Step-by-step explanation:

8 0
3 years ago
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