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Varvara68 [4.7K]
2 years ago
13

-1 (1 + 7x) - 6(-7 -x) = 36

Mathematics
1 answer:
S_A_V [24]2 years ago
4 0

Answer: x = 5

Step-by-step explanation:

    If you need to solve for x,

Given:

-1 (1 + 7x) - 6(-7 -x) = 36

Distribute:

-1 - 7x + 42 + 6x = 36

Combine like terms:

- x + 41 = 36

Subtract 41 from both sides of the equation:

- x = -5

Divide both sides by -1:

x = 5

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4 years ago
A multiple choice exam has ten questions. Each question has five possible answers, of which one is correct. Suppose that a stude
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Answer:

8.81% probability that the student answers exactly 4 questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. 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.

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This means that n = 10

The probability of answering any question correctly is 0.20.

This means that p = 0.2

What is the probability that the student answers exactly 4 questions correctly

This is P(X = 4).

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

P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881

8.81% probability that the student answers exactly 4 questions correctly

4 0
4 years ago
If a = 7, what is the value of the expression 2(a + 8)?
raketka [301]

Answer:

30

Step-by-step explanation:

Substitute X with 7 since X=7 so 2(7+8). Follow order of operations and 7+8=15 and the multiply 15 by 2 to get your final answer 30.

3 0
4 years ago
I dont understand how to solve a+5 ​
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5a

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4 0
3 years ago
What is the answer to 4x=-12
vampirchik [111]
4x = -12
4/4    -12/4
x = -3
3 0
3 years ago
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