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JulijaS [17]
3 years ago
15

HELP!!!

Mathematics
1 answer:
Troyanec [42]3 years ago
8 0

Answer:

8

Step-by-step explanation:

18-12

12-X

X=12*12/18

X=8mm

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1.How many combinations are possible from the letters HOLIDAY if the letters are taken?
Lesechka [4]

Using the combination formula, it is found that:

1. A. 7 combinations are possible.

B. 21 combinations are possible.

C. 1 combination is possible.

2. There are 245 ways to group them.

<h3>What is the combination formula?</h3>

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

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

Exercise 1, item a:

One letter from a set of 7, hence:

C_{7,1} = \frac{7!}{1!6!} = 7

7 combinations are possible.

Item b:

Two letters from a set of 7, hence:

C_{7,2} = \frac{7!}{2!5!} = 21

21 combinations are possible.

Item c:

7 letters from a set of 7, hence:

C_{7,7} = \frac{7!}{0!7!} = 1

1 combination is possible.

Question 2:

Three singers are taken from a set of 7, and four dances from a set of 10, hence:

T = C_{7,3}C_{10,4} = \frac{7!}{3!4!} \times \frac{10!}{4!6!} = 245

There are 245 ways to group them.

More can be learned about the combination formula at brainly.com/question/25821700

6 0
2 years ago
Tyler is 8 years old. His sister Olivia is 4 years less than twice his age. Write a numerical expression for Olivia's age in the
Marat540 [252]
Numerical expression:

2 * 8 - 4 or 12

Good luck :)
6 0
3 years ago
Mr. Brown shares with the class that 70% of the students got an A on the English vocabulary quiz. If Mr. Brown has 100 students,
mezya [45]

Answer:

a. \frac{70}{100}

b. 0.7

c. 0.7=70%=\frac{70}{100}

Step-by-step explanation:

70% of 100 received an A, that is 70/100 times 100 equal to 70

\frac{70}{100}*100=70

a. 70% = \frac{70}{100}

b. \frac{70}{100} = 0.7

Notice that 70/100 is equal to 7/10 which is 0.7

c. 0.7=70%=\frac{70}{100}  

5 0
3 years ago
Find the equation of the circle with the given characteristics. Center: (−2, 1) Radius: 2 The solution is
konstantin123 [22]
The format for the equation of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is your center and r is your radius. All we have to do is substitute the correct values, giving us the equation (x+2)^2+(y-1)^2=4

:)
8 0
3 years ago
2 ( x-4 ) = 5/6 ( x+6 ) -6
givi [52]
Hopes this helps:

Answer: x = 6
3 0
3 years ago
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