Last years freshman class at big state university totaled $5330 students. Of those, $1258 received a merit scholarship to help offset tuition cost their freshman year. The amount a student received was N($3464, 489). If the cost of full tuition was $4450 last year, what percentage of students who received a merit scholarship did not receive enough to cover full tuition?

Answer:

7/30

Step-by-step explanation:

Answer:

Dear user,

Answer to your query is provided below

A number is divisible by 9, if the sum is a multiple of 9 or if the sum of its digits is divisible by 9.

Step-by-step explanation:

Here , It is given that the number is three digit in which units digit is 2 and hundreds digit is 4.

As per rule, the sum of its digits should've divisible by 9. So, Let the unknown digit be X .

Therefore, 2+X+4 =9

This implies, X = 9-2-4 = 3

So, the three digit number will be 432.

Verify - 432/9 = 48

Hence proved

Answer:

The standard deviation for the number of delinquent mortgages in the sample is 1.08.

Step-by-step explanation:

For each mortgage, there are only two possible outcomes. Either it is delinquent, or it is not. The probability of a mortgage being delinquent is independent of other mortgages. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

21% of U.S. mortgages were delinquent last year.

This means that [tex]p = 0.21[/tex]

A random sample of seven mortgages was selected.

This means that [tex]n = 7[/tex]

What is the standard deviation of this distribution

[tex]\sqrt{V(X)} = \sqrt{7*0.21*0.79} = 1.08[/tex]

The standard deviation for the number of delinquent mortgages in the sample is 1.08.

Answer:

1/2

Step-by-step explanation:

14 green and 14 purple marbles = 28 marbles

P( purple) = purple/ total

                 = 14/28

                  =1/2

Answer:

x = 20

Step-by-step explanation:

The three angles form a straight line so they add to 180 degrees

x+ 100 +3x = 180

Combine like terms

100+4x= 180

Subtract 100 from each side

100+4x-100= 180-100

4x= 80

Divide each side by 4

4x/4 = 80/4

x = 20

Answer:

[tex]x = 20 \: \: degrees[/tex]

Step-by-step explanation:

Angles in a straight line = 180 degrees

[tex]x + 3x + 100 = 180 \\ 4x + 100 = 180 \\ 4x = 180 - 100 \\ 4x = 80 \\ \frac{4x}{4} = \frac{80}{4} \\ x = 20 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

π

Step-by-step explanation:

Answer:

Hello!

Step-by-step explanation:

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

So,you have to multiply.

Hope this helps.

Answer:

V(r) is the volume of basketball when the radius is r.

Answer:

B. the volume of the basketball when the radius is r

Step-by-step explanation:

Answer:

A) 1500 girls

B) 25% are men

Step-by-step explanation:

I hope this helps

Answer:

4(x - 1) = 6(x + 3)

x = -11

Step-by-step explanation:

x represents “the number” so we would substitute this with a variable.

(I hope this helps! Have a great day AND STAN BTS)

Answer:

62/7

Step-by-step explanation:

The budget illustrates ratios and proportions.

The maximum amount to spend on food each day is $8

The given parameters are:

[tex]\mathbf{Budget = \$62}[/tex]

[tex]\mathbf{Days = 7}[/tex]

So, the daily budget is:

[tex]\mathbf{Daily = \frac{Budget}{Days}}[/tex]

So, we have:

[tex]\mathbf{Daily = \frac{\$62}{7}}[/tex]

[tex]\mathbf{Daily = \$8.85714285714}[/tex]

Remove decimal parts (do not approximate)

[tex]\mathbf{Daily = \$8}[/tex]

Hence, the maximum to spend each day is $8

Read more about ratios and proportions at:

https://brainly.com/question/13114933

Answer:

30 ≥ 4.65x

Step-by-step explanation:

He cannot purchase more than $30, so the amount that he buys must always be less than 30.

Answer:

7. [tex]x \leq 5[/tex]

8. [tex]x\geq 4[/tex]

9. x < 5

10. x < -7

11.  x < 45

12. [tex]x\geq -10[/tex]

13. x < -7

14. x < 45

15. [tex]x\leq 50[/tex]

16. [tex]w\geq 16[/tex]

18. q > 4

Step-by-step explanation:

Answer:

a. P(CWC)=0.046875

b.  P(WCC)=0.046875

    P(CCW)=0.046875

c. P=0.140625

Step-by-step explanation:

By the rule of multiplication there are 64 forms to answer three questions. This is calculated as:

    4 _          *            4               *             4            = 64

1st question      2nd question     3rd question

Because there are 4 options for every question. At the same way, from that 64 options, 3 are CWC and it is calculated as:

    1 _          *            3               *             1            = 3

1st question      2nd question     3rd question

Because there is just one answer that is correct for the first question, there are 3 answers wrong for the second question and there are 1 answer correct for the third question.

So, the probability P(CWC) is equal to:

[tex]P(CWC)=\frac{3}{64}=0.046875[/tex]

Then, the complete list of the different possible arrangements of two correct answers and one wrong answer are: CWC, WCC and CCW

Therefore, the probabilities P(WCC) and P(CCW) are calculated as:

[tex]P(WCC)=\frac{3*1*1}{64}=\frac{3}{4}= 0.046875[/tex]

[tex]P(CCW)=\frac{1*1*3}{64}=\frac{3}{4}= 0.046875[/tex]

Finally, the probability of getting exactly two correct answers is the sum of the probabilities calculated before.

[tex]P=P(CWC)+P(WCC)+P(CCW)\\P=0.046875+0.046875+0.046875\\P=0.140625[/tex]

Answer:

The onject 1/8 of the length of the path 3/4 in second.

Using the ratio and proportion to find the total time does it take the object to travel the entire length of the path as following

Length:time

X:(total time )

Total time x.(3/4)/(1/8x)=(3/4)/(1/8) = 6 seconds

Answer:

$ 14.08

Step-by-step explanation:

We have that the policy costs $ 94 and with life insurance with coverage of $ 120,000, to calculate the expected value, we must subtract the value of that life insurance multiplied with the probability of dying (complement of the probability of living) and the policy value multiplied by the probability of staying alive) like this:

120000 * (1 - 0.9991) - 94 * 0.9991 = 14.0846

Which means that the expected value of the policy is $ 14.08

Answer: No 1 is 91.14 km who else could help with the rest of the solution for number 1, 2 & 3.

Answer:

Step-by-step explanation:

If half of the wine barrels are infected, it means that the proportion of infected wine is 0.5

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 28

n = number of samples = 80

P = 28/80 = 0.35

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.35 - 0.5)/√(0.5 × 0.5)/80 = - 2.68

From the normal distribution table, the area below the test z score in the left tail 0.0037

Therefore,

p value = 0.0037

Assuming a significance level of 0.05, therefore,

Since alpha, 0.05 > than the p value, 0.0037, then we would reject the null hypothesis.

Answer:

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Step-by-step explanation:

In order to calculate the probability that the next customer will request mid-grade gas and fill the tank we would have to make the following calculation:

probability that the next customer will request mid-grade gas and fill the tank= percentage of the people using mid-grade gas* percentage of the people using mid-grade gas that fill their tanks

probability that the next customer will request mid-grade gas and fill the tank=  30%*60%

probability that the next customer will request mid-grade gas and fill the tank= 0.1800

The probability that the next customer will request mid-grade gas and fill the tank is 0.1800

Answer:

D

Step-by-step explanation:

Answer:

i

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

(x, y) -> (1/2x, 1/2y)

When you dilate a side, point, etc, you are multiplying the original dimension by the scale factor. That is represented in option C: the original x and y are multiplied by the scale factor, 1/2! Hope that helps! :)

Answer:

C. (x,y) → (1/2x,1/2y)

Step-by-step explanation:

Dialation means to multiply each coordinate by scale factor and in this case it's 1/2

Answer:

Se requiere un 20 por ciento de descuento.

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in the same language)

Sea [tex]p_{o}[/tex] el precio original del computador portatil, el nuevo precio es:

[tex]p_{1} =\left(\frac{100\,\% + 25\,\%}{100\,\%} \right)\cdot p_{o}[/tex]

[tex]p_{1} = 1.25\cdot p_{o}[/tex]

Si [tex]p_{2} = p_{o}[/tex], entonces el porcentaje requerido para recuperar el precio original es:

[tex]r = \left(1-\frac{p_{2}}{p_{1}} \right)\times 100\,\%[/tex]

[tex]r = \left(1-\frac{p_{o}}{1.25\cdot p_{o}} \right)\times 100\,\%[/tex]

[tex]r = \left(1-\frac{1}{1.25} \right)\times 100\,\%[/tex]

[tex]r = 20\,\%[/tex]

Se requiere un 20 por ciento de descuento.

Answer:

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8595

The margin of error is:

M = T*s = 1.8595*2.7 = 5

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 25.3 - 5 = 20.3 milligrams

The upper end of the interval is the sample mean added to M. So it is 25.3 + 5 = 30.3 milligrams.

The 90​% confidence interval for the mean nicotine content of this brand of cigarette is between 20.3 milligrams and 30.3 milligrams.

Answer:

[tex] \frac{3}{5}[/tex]

Step-by-step explanation:

The adjacent sides are 3 and 4. Thus the hypotenuse is: (by Pythagoras Theorem)

$=\sqrt{3^2+4^2}$

$=\sqrt{25}$

$=5$

Now by definition of $\sin$, we get:

$\sin \theta= \frac{\text{opposite}}{\text{hypotenuse}}=\frac{3}{5}$

Answer:

answer B [tex]\boxed{ \ 569 \ }\\[/tex]

Step-by-step explanation:

f(8)=-2*8+5=-11

g(8)=9*8*8+4=580

f(8)+g(8)= -11+580=569

Answer:

159,720

Step-by-step explanation:

Calculation of how many different value meal packages are possible at Ron's Subs :

The meal package at Ron's Subs are:

Drink 66

Sandwich 55

Bag of chips 44

Since we are looking for the how many different value meal packages are possible that means we have to multiply all the three value meal package with each other.

Hence,

Drink 66 ×Sandwich 55 ×Bag of chips 44

=159,720

Therefore 159,720 is the number of different value meal packages that are possible at Ron's Subs

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option D is the correct answer

Step-by-step explanation:

   Now looking at the bar chart we see that a greater number of employee over the age of 45 preferred the 4-day work week compared to the number of employee between 30- 45 who preferred to have a flexible work hour and employee below 30  who' s preference are the same for both type of work hours