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DIA [1.3K]
3 years ago
11

01:

Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

4

Step-by-step explanation:

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"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"
erastovalidia [21]

Answer:

The exam can be answered with exactly 8 answers correct in 6435 ways.

Step-by-step explanation:

The order is not important.

For example, answering correctly the questions 1,2,3,4,5,6,7,8 is the same outcome as answering 2,1,3,4,5,6,7,8. So we use the combinations formula to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

Combinations of 8 questions from a set of 15. So

C_{15,8} = \frac{15!}{8!(15-8)!} = 6435

The exam can be answered with exactly 8 answers correct in 6435 ways.

5 0
3 years ago
In triangle FGH, is an angle bisector of and perpendicular to . In triangle F G H, angle F G H is cut by perpendicular bisector
Amanda [17]

Answer:

x = 8

Step-by-step explanation:

By first drawing a photo, pasted below, you can plot your points. Then use the formula:

a/c = b/d to plan out your equation

3x - 8/x = 16/x

Cross multiply so you then have:

16x = 3x^2 - 8x

24x = 3x^2

8 = x

To check:

3(8) - 8 = 16

24 - 8 = 16

16 = 16

7 0
3 years ago
Read 2 more answers
How many kilograms are equal to 5,000grams?
Maurinko [17]
5000 grams are equal to 5 kilograms
8 0
3 years ago
Read 2 more answers
Need more help 5/6 divided by 2
podryga [215]

Answer:

5/12

Step-by-step explanation:

5/6 divided by 2

= 5/6 divided by 2/1

= 5/6 x 1/2

= 5 x 1 over 6 x 2

= 5 over 6 x 2

= 5 / 12

8 0
3 years ago
You open a saving account and deposit 420.00 one month later, the balence in the account is 4208.40.
photoshop1234 [79]
The monthly rate of growth for the savings account is $8.40.
6 0
3 years ago
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