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Oksi-84 [34.3K]
3 years ago
6

Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys f

rom Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce. If the teacher calls upon a student to answer a question, what is the probability that the student will be from Kenilworth?
Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Answer:

P\text{Student will be from Kenilworth}\approx 0.256

Step-by-step explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be 8+5+9+5+5+7=39

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}

P\text{Student will be from Kenilworth}=\frac{10}{39}

P\text{Student will be from Kenilworth}=0.2564102564

P\text{Student will be from Kenilworth}\approx 0.256

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.

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Julio says "If you subtract 13 from my number and multipy the difference by -3 the result is -45" what is Julio's number
ICE Princess25 [194]

Answer:28

Step-by-step explanation:

Julio's number is x

(X-13)*-3=-45

Divide by -3

X-13=15

Add13 to both sides

x=28

6 0
3 years ago
A club raised 175% of its goal for a charity. The club raises $875. What was the goal?
charle [14.2K]

Answer: The goal was $500

======================================================

Work Shown:

x% = x/100

175% = 175/100 = 1.75

Let g be the goal, which is the amount of money the club wanted to raise

175% of goal = 175% of g = 1.75g

The expression 1.75g represents how much money was actually raised, which was $875. Set the two expressions equal to each other. Solve for g

1.75g = 875

g = 875/1.75 ....... divide both sides by 1.75

g = 500

The club's goal was to raise $500

Note how 75% of $500 is 0.75*500 = 375

When they raised 175% of the goal, this means they went 75% overboard and added on 375 additional dollars (on top of the 500 they wanted). So they got to 500+375 = 875 which lines up with the instructions. This helps verify the answer.

Or we can see that 1.75*g = 1.75*500 = 875 which helps confirm the answer as well.

3 0
3 years ago
A dealer paid $7,000 for a car at an auction. At the dealership, a salesperson sold the car for 30% more than the auction price.
timurjin [86]
30% of $7000 is $2100
25% of $2100 is $525
7 0
3 years ago
Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?
N76 [4]

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

#SPJ1

4 0
2 years ago
Which ordered pair is a solution to the system of equations?
mixer [17]
(2x - y = -2)2
5x - 2y = -7
4x - 2y = -4
Subtract both
x = -3
5(-3) - 2y = -7
-15 - 2y = -7
-2y = 8, y = -4
Solution: (-3,-4)
6 0
2 years ago
Read 2 more answers
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