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Inessa05 [86]
3 years ago
15

Please answer in a little bit detail ​

Mathematics
1 answer:
xeze [42]3 years ago
6 0

Answer:

what the heck i think pre-alegbra is hard what do they expect from us ? the mother freaking world ? like no

Step-by-step 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
Is 1/8 x 4= 1/12 or 4/8
aliina [53]

Answer:

If you were to fully simplify it would technically be 1/2 as 4/8 is correct but can be further rounded down

Step-by-step explanation:

1/8 x 4 = 4/8

4/8 ÷ 4 = 1/2

5 0
2 years ago
Read 2 more answers
(01.05 MC)The total charge on 6 particles is −48 units. All the particles have the same charge. What is the charge on each parti
Elina [12.6K]

Answer: -9 units

Step-by-step explanation:

-9 x 4 = -36

so therefore -36 divided by 4 = -9

5 0
3 years ago
What is the area of this triangle?
ki77a [65]

Answer:

The area of this triangle is.. 30 in^2

Step-by-step explanation:

6 x 10 divided by 2 = 30

3 0
3 years ago
Read 2 more answers
A bank is offering 3.5% simple interest on a savings account. If you deposit $7,500,how much interest will you earn in two years
arsen [322]

Answer:

525$

Step-by-step explanation:

8 0
3 years ago
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