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fiasKO [112]
3 years ago
10

Identify the value for the variable.

Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

Answer:

10.9571428

Step-by-step explanation:

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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5
Elina [12.6K]

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%.

4 0
4 years ago
What are the solutions to the quadratic equation 5x2 + 60x = 0?
const2013 [10]
5x^2+60x=0
x(5x+60)=0

x=0
and
5x+60=0
5x=-60
x=-12

therefore, the first option is correct
8 0
4 years ago
Read 2 more answers
Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in twenty-eight minutes. When completing t
eimsori [14]

The <em>correct answer</em> is:


C) x/21


Explanation:


Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.

7 0
3 years ago
Water is leaking from the bottom of a canonical cup that is 6 inches across and 8 inches deep. Given that the cup loses 0.9 inch
DochEvi [55]
6 inches AND IT HADS UP TO 4.69 INCHES

3 0
3 years ago
Make a t<br> Rectangle drawing to represent each excediste. Then find the product.
Trava [24]
I need the actual problem to answer this question
4 0
3 years ago
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