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ruslelena [56]
3 years ago
15

PLEASE HELLLP!!!!! If x+7=2y and y=2x−1, what is the value of y? (NOT 13)

Mathematics
1 answer:
oee [108]3 years ago
5 0

Answer:

(C) 5

Step-by-step explanation:

x+7=2y

<em>Subtract 7 from both sides</em>

x=2y-7

2y-7=x

<em>Multiply both sides by 2</em>

4y-14=2x

y=2x−1

<em>Add 1 to both sides</em>

y+1=2x

<u>Combine equations:</u>

y+1=4y-14

<em>Add 14 to both sides</em>

y+15=4y

<em>Subtract y from both sides</em>

15=3y

3y=15

<em>Divide both sides by 3</em>

y=5

<u>The answer is </u><u>(C) 5.</u>

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Read 2 more answers
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects
Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

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So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

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Answer:

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Step-by-step explanation:

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