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Answer:

95% of all students at private universities pay less than $58,302.5.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $50,900, standard deviation of $4,500

This means that [tex]\mu = 50900, \sigma = 4500[/tex]

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 50900}{4500}[/tex]

[tex]X - 50900 = 1.645*4500[/tex]

[tex]X = 58302.5[/tex]

95% of all students at private universities pay less than $58,302.5.

Answer:

Step-by-step explanation:

Remark

The rate is going to be the same as the distance travelled in 1 hour. The units will be different.

Formula

d = r * t

Givens

d = 558 miles

t = 3 hours

Problem A

r = d / t

r = 558/ 3 = 186 miles / hr

Problem B

Givens

r = 186 miles / hour

t = 1 hour

d = ?

Solution

d = 186 mi/hr * 1 hr

d = 186 miles

Note

This looks really trivial, but it's not. You have to learn to see the difference between a number and its units. It's not very often that the numbers will be the same, but if the units differ, then it is an entirely different question.

Hi there!

[tex]\large\boxed{8(5+3)}}[/tex]

The greatest common factor of 40 and 24 is 8.

8 goes into 40 5 times:

8 goes into 24 3 times.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:

8(5 + 3)

Using this, we get:

8(5) + 8(3) = 40 + 24.

The question supplied is incomplete :

The x parameters aren't given ; "Units with weights less than or greater than ounces will be classified as defects"

Assume the unit weights Given are ;

Units with weights less than 10.8 or greater than 11.2 ounces will be classified as defects

Just follow the procedure in the solution for any value of unit weight interval given.

Answer:

0.3173

Step-by-step explanation:

Mean weight, m = 11 ounces

Standard deviation, s = 0.2 ounces

Find the Zscore for each unit weight :

Z = (x - mean) / standard deviation

P(x < 10.8) :

Z = (10.8 - 11) / 0.2 = - 1

P(Z < - 1) = 0.15866

P(x > 11.2) :

Z = (11.2 - 11) / 0.2 = 1

P(Z > 1) = 0.84134

P(x < 11.2) - P(x < 10.8) = 1 - (P(Z < 1) - P(Z < - 1)) = 1 - 1 - (0.84134 - 0.15866) = 1 - 0.68268 = 0.31732

Hence, Probability of a defect is 0.3173

Answer:

C

Step-by-step explanation:

im just gonna take the points for falling for that.

Answer:

Step-by-step explanation:

if tameekas sunflower is 58 millmetters and grows 8 millmeters a day then in the 7 days she grew it,  it has grown 58 millmeters.

Answer:

anlamiyorum ne diyorsun

Answer:

-24.6

Step-by-step explanation:

-3*8.2= -24.6

Answer:

616 cm²

Step-by-step explanation:

small cube (4 sides) = 8 x 3 x 4 = 96

large cube (4 sides) = 7 x 10 x 4 = 280

top and bottom of large cube = 12 x 10 x 2 = 240

(we would deduct the 3 x 3 area from  the top of the large cube and add a 3 x 3 area for the top of the small cube. So that cancels each other out.)

total surface area = 96 + 280 + 240 = 616 cm²

Answer:

A (6.08)

Step-by-step explanation:

Hi! Here is how you would handle this problem :D

First, multiply 1.28 (money per pound) by 4 (whole pounds), you would get 5.12. Now be careful, because there is one more step! There are 16 ounces in a pound, so 12/16 would equal to 3/4 (75%). Multiply 1.28 by .75 to find out how much you would pay for those 12 ounces. Lastly, add 5.12 and .96 (that comes from 1.28 times .75), and you get 6.08! Hope this helped, and please leave me a brainly if you can!

Answer:

False

Step-by-step explanation:

Answer:

14 dollars

Step-by-step explanation:

42 / 3 = x amount of dollars

14 = x

so every one sweater costs 14 dollars

Answer:c= a +b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reference angle for 68° in QII = 180°-68° = 112°

Reference angle for 75° in QIV = 360°-75° = 285°

Answer:

0.25

Step-by-step explanation:

Answer:

u=32

Step-by-step explanation:

Hey There!

Those are a pair of complementary angles we can tell because it has a square at the angle.

When angles are complementary they add up to 90

So given one angle we subtract that by 90 to find the missing angle

90-58=32

therefore u = 32

Answer:

It would be A

I think I forgot I didn't this like 2 weeks ago

Answer:

Step-by-step explanation:

first off we need to know the original sample size and if it is in there then im just cant see it

Answer:

We will first find out average time of each student.

Student 1 = 60 / 12 = 5

Student 2 = 60 / 10 = 6

Student 3 = 60 / 8 = 7.5

Student 4 = 60 / 6 = 10

Student 5 = 60 / 4 = 15

Now we will take the arithmatic mean of all students average time.

A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem

Answer:

Picture would be appreciated.

Answer:

$2.35

Step-by-step explanation:

17.40-6.75-5.95=$4.70

4.70 divided by 2 = 2.35 each

Do you need to create an algebraic expression? In that case, the answer would be 6x.

Answer:

1/100

Step-by-step explanation:

Answer: The mean is the same as the average. In order to find the mean, or average score of the two tests, you need to take the sum of the two tests, and then divide by the number of tests, which is two.

We don't know the score of the second exam. Let it = x

Then we have the following equation:

(88 + x)/2 = 93

88 + x = 2 * 93

88 + x = 186

x = 186 - 88 = 98

You need to score a 98 on the second test

Answer:

84.13% of the lots received by the manufacturer will be returned to the supplier

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the mean length of the rods in each lot is 4 meters and standard deviation is 0.04 meter.

This means that [tex]\mu = 4, \sigma = 0.04[/tex]

Sample of 64:

This means that [tex]n = 64, s = \frac{0.04}{\sqrt{64}} = 0.005[/tex]

a) What percentage of the lots received by the manufacturer will be returned to the supplier

The proportion is the pvalue of Z when X = 4.005. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{4.005 - 4}{0.005}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413

0.8413*100% = 84.13%

84.13% of the lots received by the manufacturer will be returned to the supplier

Answer:

66

Step-by-step explanation:

multiply everything together

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation: