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polet [3.4K]
4 years ago
15

So um what’s the answer to this. -7(2+k)=7

Mathematics
2 answers:
soldier1979 [14.2K]4 years ago
6 0

Answer:

k = -3

Step-by-step explanation:

-7(2+k)=7\\\\-14-7k=7\\\\-14+14-7k=7+14\\\\-7k=21\\\\\frac{-7k=21}{7}\\\\\boxed{k=-3}

Hope this helps.

lilavasa [31]4 years ago
5 0

Answer:

k = -3

Step-by-step explanation:

-7(2 + k) = 7

Divide both sides by (-7)

2 + k = 7/-7

2 + k = -1

Subtract 2 form both sides

   k = -1 - 2

k = -3

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A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me
Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 20 questions, hence n = 20.
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The probability is:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

In which:

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

P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148

P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046

P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011

P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002

P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0

P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0

Then:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

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 Solutions 

Simplify <span><span>2/3</span>x</span> to <span><span>2x/</span>3
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</span>2) Multiply both sides by 3

<span>2x=10×3

3) </span>Simplify 10×3 to 30

<span>2x=30

4) </span>Divide both sides by <span>2

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5) </span>Simplify <span>30 </span><span>÷ 2</span><span> </span><span>to</span><span> </span><span>15

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