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Leni [432]
3 years ago
11

Of students in the AP curriculum at a prep school, 40% take one AP exam, 45% take two AP exams, and the remaining 15% take 3 AP

exams. The highly desirable score of 5 is hard to earn, and only 20% of these students will earn a 5 on any given exam they take. Assuming their results on each exam are independent, what is the probability a student in the AP curriculum will earn at least one 5
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

It should be noted that the probability that a student will earn at least one 5 will be 0.3152.

<h3>How to calculate the probability</h3>

Test P(x). P(at least one 5)

1. 0.4. 0.2

2. 0.45. 0.36

3. 0.15. 0.488

Therefore, the probability that a student in the AP curriculum will earn at least one 5 will be:

= (0.4 × 0.2) + (0.45 × 0.36) + (0.15 × 0.488)

= 0.3152

In conclusion, the correct option is 0.3152.

Learn more about probability on:

brainly.com/question/24756209

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Mr. Brown is splitting his students into groups to give presentations about novels they read. He wants each group to have 4 stud
Andrei [34K]

Mr. Brown can make fewer than 6 full groups to give presentations.

<h3>Inequality</h3>

Inequality is an expression used to show the non equal comparison of two or more numbers and variables.

Let x represent how many full groups Mr. Brown can make.

He wants each group to have 4 students. There are fewer than 24 students in class today, hence:

  • 4x < 24
  • x < 6

Mr. Brown can make fewer than 6 full groups to give presentations.

Find out more on inequality at: brainly.com/question/11613554

5 0
3 years ago
What is x squared times 2
Jobisdone [24]

This equation simplified would be 2x^2.

Since we have terms that are not like (one has a variable and the other doesn't), we simply put them together when being multiplied.

x^2 * 2 = 2x^2

8 0
4 years ago
Hank and Debra each own two milking cows. One day, they milked their cows and compared the amount of milk the cows produced in t
drek231 [11]

Answer:

The answer to your question is  2 7/24

Step-by-step explanation:

Data

Hank's cows = 4 3/4   and  4  1/8

Debra's cows = 5 1/2  and  5 2/3

Process

1.- Convert the mixed functions to improper fractions

Hank's           (16 + 3)/4  = 19/4           (32 + 1)/8 = 33/8

Debra's          (10 + 1)/2 = 11/2              (15 + 2)/3 = 17/3

2.- Sum up Hank's milk and Debra's milk

Hank's       19/4 + 33/8 = 38/8 + 33/8 = 71/8

Debra's      11/2 + 17/3 = 33/6 + 34/6 = 67/6

3.- Subtract Hank's milk to Debra's milk

                 67/6 - 71/8 = (268 - 213)/24

                                    = 55/24

-Convert into a mixed fraction

                                2

                      24   55

                                7

                                      55/24 = 2 7/24

4.- Conclusion

Debra milked 2 7/24 more milk than Hank

4 0
3 years ago
What are the transformations? f left parenthesis x right parenthesis space equals negative 3 left parenthesis x minus 4 right pa
Phoenix [80]

Answer:

The graph of the functions moves 4 units right, 3 units up stretches vertically by a factor of 3 and reflects horizontally.

Step-by-step explanation:

In order to find the function transformations, we must first determine what the base function is:

f(x)=x^{2}

Next, we need to determine how the function is being affected by the transformations.

When the graph of the function moves 4 units right, we mus subtract 4 units from x, so the function looks like this then:

f(x)=(x-4)^{2}

If we need to stretch it vertically by a factor of 3, we need to multiply the function by 3:

f(x)=3(x-4)^{2}

If we need to reflect it horizontally, then we turn the 3 into a negative so we get:

f(x)=-3(x-4)^{2}

And finally, if we wanted to move the graph up by 3 units, then we need to add 3 units to the whole graph, so we get:

f(x)=-3(x-4)^{2}+3

in the attached picture you will be able to see the graph of the base function with all the transformations.

8 0
3 years ago
Find the slope from the pair points (0 -5) (-5 5)
lapo4ka [179]

Answer: m = 0

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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