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3 years ago

Solve the following equation. Then place the correct number in the box provided. 3y + 2 ≥ 5y +8

Mathematics

2 answers:

GREYUIT [131]3 years ago

7 0

Answer:

$y\leq -3$

Step-by-step explanation:

$3y+2 \geq 5y+8 \\\\3y\geq 5y+6\\\\-2y\geq 6\\\\y\leq -3$

Hope this helps!

Troyanec [42]3 years ago

5 0

Answer:

-3 ≥y

Step-by-step explanation:

3y + 2 ≥ 5y +8

Subtract 3y from each side

3y-3y + 2 ≥ 5y-3y +8

2 ≥ 2y +8

Subtract 8 from each side

2-8 ≥ 2y +8-8

-6 ≥ 2y

Divide by 2 on each side

-6/2 ≥ 2y/2

-3 ≥y

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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.

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This means that $n = 3$

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

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3 years ago

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