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Georgia [21]
2 years ago
10

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Mathematics
1 answer:
katen-ka-za [31]2 years ago
4 0

Answer:

7, 22, 39 hope this helps :)

Step-by-step explanation:

It’s adding 7, then 9, then 11, and so on.

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Solve by substitution. Please show work!!!<br> x+4y=-3<br> x+7y=-12
marshall27 [118]

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x = 9

y = -3

6 0
2 years ago
On $500 at 6% for 18 months what is the interest
blsea [12.9K]
It would be $45. The equation is 500×0. 06×1.5
6 0
3 years ago
What represents the equal number of parts that equal a whole in a fraction.
Alex
This refers to the "denominator" of a fraction. By definition, the denominator tells you how many you need to have of an equal part in order to create a whole. The numerator tells you how much of those equal parts you have. 
7 0
3 years ago
The offices of​ president, vice​ president, secretary, and treasurer for an environmental club will be filled from a pool of 15c
Alexus [3.1K]

Answer:

a) 5.13% probability that all of the offices are filled by members of the debate​ team

b) 2.56% probability that none of the offices are filled by members of the debate​ team

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the people are chosen is important, since the first person is the president, the second is the vice president and so on... So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

​(a) What is the probability that all of the offices are filled by members of the debate​ team?​

Desired outcomes:

4(president, vice​ president, secretary, and treasurer) offices from a set of 8(candidates of the members debate team).

So

D = P_{(8,4)} = \frac{8!}{(8-4)!} = 1680

Total outcomes:

4 offices from a set of 15 candidates.

T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760

Probability:

P = \frac{D}{T} = \frac{1680}{32760} = 0.0513

5.13% probability that all of the offices are filled by members of the debate​ team

(b) What is the probability that none of the offices are filled by members of the debate​ team?

Desired outcomes:

4(president, vice​ president, secretary, and treasurer) offices from a set of 7(candidates who are not of the members debate team).

D = P_{(7,4)} = \frac{7!}{(7-4)!} = 840

Total outcomes:

4 offices from a set of 15 candidates.

T = P_{(15,4)} = \frac{15!}{(15-4)!} = 32760

Probability:

P = \frac{D}{T} = \frac{840}{32760} = 0.0256

2.56% probability that none of the offices are filled by members of the debate​ team

7 0
3 years ago
Which of the following statements is true?
Harlamova29_29 [7]

Answer:

C

Step-by-step explanation:

A) not true. Sin A = some decimal

Cos 720 = 1

D) That means that d is not true either. not true

B) Sin55 = cos55 is not true either only sin(45) = cos(45) is true. So B is not true.

That leaves C. I think if you check it, you'll find it is right. sin(A) = cos(90 - A)

6 0
2 years ago
Read 2 more answers
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