Mathematics, 06.10.2019 01:30 benallyadam2067

The mean of the scores obtained by a class of students on a physics test is 42. the standard deviation is 8%. students have to score at least 50 to pass the test.

assuming that the data is normally distributed, %) of the students passed the test.

% of students passed ?
choices: 5 16 34 58

Answers: 2

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Answers

Answer from: DeonJ

The correct answer is:
16%.

Explanation:
We use a z-score to answer this question.
The formula for a z-score is:
z= $\frac{x-mue}{sigma}$ ,
where mue is the mean and sigma is the standard deviation.

Using our information, we have:
z= $\frac{50-42}{8} = \frac{8}{8} = 1$ .

Using a z-table, we see that the area to the left of, or less than, this score is 0.8413. We want to know how many students scored more than this, so we subtract from 1:
1-0.8413=0.1587, which rounds to 16%.

Answer from: gothicleonardogal

B. 16%.

Step-by-step explanation:

We have been given that the The mean of the scores obtained by a class of students on a physics test is 42. The standard deviation is 8%. Students have to score at least 50 to pass the test.

First of all, we will find z-score of sample score 50 by using z-score formula.

$z=\frac{x-\mu}{\sigma}$ , where,

$z=\text{z-score}$ ,

$x=\text{Sample score}$ ,

$\mu=\text{Mean}$ ,

$\sigma=\text{Standard deviation}$ .

Upon substituting our given values in z-score formula we will get,

$z=\frac{50-42}{8}$

$z=\frac{8}{8}$

z=1

Now, we will use normal distribution table to find the area above the z-score of 1.

Using normal distribution table we will get,

P(z1)=1-P(z

P(z1)=1-0.84134

P(z1)=0.15866

Now we will multiply our answer by 100 to convert it into percentage.

$0.15866\times 100\%=15.866\%\approx 16\%$

Therefore, approximately 16% of the students passed the test and option B is the correct choice.

Answer from: Quest

im pretty sure it would be 5 am, hope that , and give brainliest and guys if this is right then press the button and give 5 stars

Answer from: Quest

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

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