Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3. What is the probability that you will receive a Merit scholarship

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

448 freshman.

Step-by-step explanation:

How many students at the university are freshmen?

= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.

A percentage is a way to describe a part of a whole. The number of students that are freshmen in the university is 448.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that 24% of students are sophomores, 20% are juniors, and 28% are seniors. Therefore, the percentage of the freshman in the university will be,

Percentage of freshman = 100% - 24% - 20% - 28%

                                         = 100% - 72%

                                         = 28%

Now, since there are a total of 1,600 students at the university. Therefore, the number of students that are freshmen in the university is,

Number of students = 28% of 1600

                                  = (28/100) × 1600

                                  = 448

Hence, the number of students that are freshmen in the university is 448.

Learn more about Percentages:

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Answer:

-(x-1) (3x+7)

Step-by-step explanation:

Answer:

-((x - 1)(3x + 7))

Step-by-step explanation:

Step-by-step explanation:

c.

Answer:

18

Step-by-step explanation:

Answer: 18, 21, 24, 27, 30

Step-by-step explanation:

Answer:

$10000

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

P = 2000 / ( 0.05 × 4 ) = 10000

P = $ 10,000.00

The principal required to

accumulate interest of $ 2,000.00

on a rate of 5% per year for 4 years is $ 10,000.00.

Answer:

26

Step-by-step explanation:

first, substitute the value for x into the expression. since x = 6, you will be plugging in 6 for x.

4x + 2 ⇒ 4(6) + 2

simplify the expression, starting with 4 · 6.

4(6) + 2 ⇒ 24 + 2

then add 24 + 2.

24 + 2 ⇒ 26

aaaand your answer is 26! hope this helps. have a lovely day! <3

Answer: A (1:2)

Step-by-step explanation:

Since there are 12 puppies total and 8 of the puppies are yellow labs, there must be 12 - 8 = 4 black labs. Now, the ratio of black labs to yellow labs is 4:8 because there are 4 black labs and 8 yellow labs. However, we can simplify this ratio by dividing the entire ratio by 4. In this case, we would get (4/4):(8/4), which simplifies to 1:2, which is the answer.

Answer:

Step-by-step explanation:

(1,1) works

(3,-11) works too

Answer:

175 I think

Step-by-step explanation:

I don't know really sorry

Answer:

2x-8=5x+3

Step-by-step explanation:

The first step: Subtract 2x, -8=3x+3

 Second: Subtract (-3), -11=3x

Answer:

x = 129, rounded

Step-by-step explanation:

3x + 144 = 532

      -144   -144

3x = 388

divide both sides by 3

x = 129, rounded

Answer:

4.1 shirts

Step-by-step explanation:

Mean can be found by adding all data points and dividing that by the total amount of data points.

There are 12 students selling shirt, which gives you 12 data points.

So (3+4+8+5+2+5+0+5+3+4+3+7)/12 = 4.083...

Which rounds to 4.1 shirts

Answer:

The correct answer is C: 4.1 shirts

Step-by-step explanation:

Did it on edge and got it correct

Hope This Helps!

Have a good day!

Answer:

161

Step-by-step explanation:

69 is 30% of 230 so 230-69=161 is the answer.

Answer:

y=6

Step-by-step explanation:

7(3y-1)=119      multiple 3y and -1 by 7

21y-7=119        add 7 to 119

21y=126          divide 126 by 21

y=6

Answer:

5

Step-by-step explanation:

Answer:

$0.56 per foot

Step-by-step explanation:

2 yards= 6 feet

3.36/6= 0.56

Answer:

$0.56 per foot

Step-by-step explanation:

1 yd = 3 ft

2 yd = 6 ft

3.36/6 = 0.56

Ok so if you are rounding it to the nearest tenths place the answer would be 6

hope that's right!!

Answer:

well if you want to get to a whole number it would be 6

Step-by-step explanation:

you get that by well let's say it was 5.5 the second number is over half so it would round up to a whole of 6 but if it was 5.4 it would round down to 5.

I can explain better if needed

Answer:

6°

Step-by-step explanation:

8m + 4° + 38° = 90°{ being complementary angles}

8m + 42° = 90°

8m = 90° - 42°

8m = 48°

m = 48° /8

m = 6°

Hope it will help :)

Answer:

Step-by-step explanation:

Total pages = 12

Stamps placed on one side = 32x 12 = 384 stamps

Stamps placed on the second page = 32 x 12 = 384

Total stamps = 384+384 = 768

Answer:

70% Decrease

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The percent decrease is 70%.

Answer:

Square Root of 81

Step-by-step explanation:

9 times 9 = 81

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use 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.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that [tex]\mu = 3, \sigma = 0.1[/tex]

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

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

[tex]Z = \frac{3.1 - 3}{0.1}[/tex]

[tex]Z = 1[/tex]

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

X = 2.9

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

[tex]Z = \frac{2.9 - 3}{0.1}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that [tex]\mu = 3.04, \sigma = 0.04[/tex]. Same probability we have to find out. So

X = 3.1

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

[tex]Z = \frac{3.1 - 3.04}{0.04}[/tex]

[tex]Z = 1.5[/tex]

[tex]Z = 1.5[/tex] has a pvalue of 0.9332

X = 2.9

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

[tex]Z = \frac{2.9 - 3.04}{0.04}[/tex]

[tex]Z = -3.5[/tex]

[tex]Z = -3.5[/tex] has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

Answer:

it equals 17 tenths

Step-by-step explanation:

Answer:

the answer will be 0.7 for sure

Step-by-step explanation:

for the steps

the question is given as eight tenths i.e 0.8 and another is given nine tenth i.e 0.9

so when you calculate (add) both

0.8+0.9

gives

0.7

Answer:

≈ 6.2

Step-by-step explanation:

Common side of the triangles is:

Find x:

Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups

Step-by-step explanation:

Answer:

Your answer is 40%

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Answer:ok

Step-by-step explanation: 2+2 =4 - 1 = 3 quick maths!