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lozanna [386]
3 years ago
7

How to solve this for x

Mathematics
1 answer:
timama [110]3 years ago
5 0

the answer is x= 10.

the steps would go like this.

4 + 3/5 × (15 + 2x) = 25

4 + 9 + 6/5x = 25

13 + 6/5x = 25

65 + 6x = 125

6x = 125 -65

6x = 60

x = 10

hope this helps



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Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

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If you want solve:

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Put the value of x to the first equation:

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Answer:

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