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Nitella [24]
3 years ago
8

Simplify the expression: -x +5 -13 + 12x

Mathematics
1 answer:
nexus9112 [7]3 years ago
8 0

Answer:

x=\frac{8}{11}

Step-by-step explanation:

Given:

-x +5 -13 + 12x

To solve the expression, equating it to zero to write it in standard form.

      -x +5 -13 + 12x=0

Taking the terms of 'x' to one side and the constants to other side:

          -x  + 12x=-5 +13

                    11x=8\\

                      x=\frac{8}{11}

On simplification of the expression the value of 'x' is

                              x=\frac{8}{11}

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baherus [9]

Answer:

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

Step-by-step explanation:

For each recommendation, there are only two possible outcomes. Either it was a success, or it was a failure. So we use the binomial probability distribution to solve this problem.

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.

In this problem we have that:

p = 0.553, n = 10

If the claim is correct and the performance of recommendations is independent, what is the probability that you would have observed 4 or fewer successful:

This is

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

In which

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

P(X = 0) = C_{10,0}.(0.553)^{0}.(0.447)^{10} = 0.0003

P(X = 1) = C_{10,1}.(0.553)^{1}.(0.447)^{9} = 0.0039

P(X = 2) = C_{10,2}.(0.553)^{2}.(0.447)^{8} = 0.0219

P(X = 3) = C_{10,3}.(0.553)^{3}.(0.447)^{7} = 0.0724

P(X = 4) = C_{10,4}.(0.553)^{4}.(0.447)^{6} = 0.1567

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0003 + 0.0039 + 0.0219 + 0.0724 + 0.1567 = 0.2552

There is a 25.52% probability of observating 4 our fewer succesful recommendations.

3 0
3 years ago
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Delvig [45]

Answer:

n=   -9

Step-by-step explanation:

4 0
3 years ago
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What do u add to 3 and 3 / 8 to make 7
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Answer:

3 \frac{5}{8}

Step-by-step explanation:

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Answer:

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