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Maru [420]
3 years ago
8

How many combinations of 7 candidates can fill 3 vacancies on a city council?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer:

35 combinations

Step-by-step explanation:

You have to use the formula for finding combinations in probability.  It looks like this:

₇C₃ = \frac{7!}{3!(7-3)!}

so that gives you

₇C₃ = \frac{7*6*5*4!}{3*2*1*4!}

The 4 factorials cancel each other out, and when you do the math, you get 210/6.  That divides evenly into 35.  So there are 35 combinations.

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25) Norachai had some candy to give to his
Sphinxa [80]

Answer:

30

Step-by-step explanation:

He took 5 pieces.

His children took 5 * 5 pieces = 25

The total is 5 + 25 = 30.

8 0
3 years ago
Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
laila [671]

Answer:

The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is  (-∞,2] ∪ [8,∞)

Step-by-step explanation:

When solving absolute value inequalities, there are two cases to consider.

Case 1: The expression within the absolute value symbols is positive.

Case 2: The expression within the absolute value symbols is negative.

The solution is the intersection of the solutions of these two cases.

In other words, for any real numbers a and b,

  • if |a|> b then a>b or a<-b
  • if |a|< b then a<b or a>-b

So, being |3x-9|≤15

Solving: 3x-9 ≤ 15

3x ≤15 + 9

3x ≤24

x ≤24÷3

x≤8

or 3x-9 ≥ -15

3x ≥-15 +9

3x ≥-6

x ≥ (-6)÷3

x ≥ -2

The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]

So, being |2x-3|≥5

Solving: 2x-3 ≥ 5

2x ≥ 5 + 3

2x ≥8

x ≥8÷2

x≥8

or 2x-3 ≤ -5

2x ≤-5 +3

2x ≤-2

x ≤ (-2)÷2

x ≤ -2

Expressing the solution as an interval: (-∞,2] ∪ [8,∞)

6 0
3 years ago
1. In Tulsa, Oklahoma the sales tax is 7.9%. If
LenaWriter [7]

Answer:

$ 67.15 tax

Step-by-step explanation:

the tax would be 7.9% of 850

turn ur percent to a decimal....and " of " means multiply

0.079 * 850 = 67.15 <==

3 0
3 years ago
Find the equations of a line through these 2 points
stiv31 [10]

answer is 2.2 66 88862 u88272

4 0
3 years ago
Help it's timed.
densk [106]

98 - x² = 0

x² = 98

x = ±√98

Lets factor 98

98 | 2

49 | 7

7 | 7

1

So, 98 = 2 . 7 . 7 = 2 . 7²

x = ±√2.7²

x = ±7√2

4 0
3 years ago
Read 2 more answers
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