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nalin [4]
3 years ago
8

Three less than 4 times a number is equal to 12 more than seven times the number. What is the number?

Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

-5

Step-by-step explanation:

4x-3 = 7x+12

  • Subtract 12 from each side

4x-15 = 7x

  • Subtract 4x from each side

-15 = 3x

  • Divide each side by 3

-5 = x

  • Rewrite using symmetric property
<h2><u>x = -5</u></h2>

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3 years ago
In Leakwater township, there are two plumbers. On a particular day three Leakwater residents call village plumbers independently
Marianna [84]

Answer:

25% probability that all three residents will choose the same plumbe

Step-by-step explanation:

For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

Each resident randomly chooses one of the two plumbers.

This means that p = \frac{1}{2} = 0.5

Three residents:

This means that n = 3

What is the probability that all three residents will choose the same plumb

This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

p = P(X = 0) + P(X = 3) = 2*0.125 = 0.25

25% probability that all three residents will choose the same plumbe

4 0
3 years ago
Hii! please help asap. i’ll give brainliest
Harrizon [31]

Answer:

3 Miles

Step-by-step explanation:

The Median is the middle value of whatever data set, which means the median is 3 since its the middle value

5 0
3 years ago
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vladimir2022 [97]

Answer:

[2,10,18]

y = 4x + 2

0,2

1,6

2,10

3,14

4,18

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
An angle measures 14° less than the measure of its complementary angle. What is the measure of each angle?
zmey [24]
(180-14):2= 166:2= 83° (smaller angle)
(180-14):2+14= 166:2+14= 83+14= 97° (bigger angle)
3 0
3 years ago
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