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LenaWriter [7]
3 years ago
10

For which of the following increasing functions f does (f-1)'(20) = 1/5

Mathematics
1 answer:
aalyn [17]3 years ago
5 0

Answer:

D f(x)= e^x+ 5x + 19

Step-by-step explanation:

D f(x)= e^x+ 5x + 19

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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
3 years ago
The Quinn family drove 228 miles in 4 hours at a constant rate.
Angelina_Jolie [31]
A. The distance traveled each hour would be the total distance divided by the number of hours.
5 0
3 years ago
Read 2 more answers
Let f(x) = - 10x + 9 and g(x) = x2 + 12 <br>Find f( - 4)/g( - 4)​
Reptile [31]

Answer:

\frac{49}{28}

Step-by-step explanation:

Evaluate g(- 4) and f(- 4) by substituting x = - 4 into g(x) and f(x), that is

f(- 4) = - 10(- 4) + 9 = 40 + 9 = 49

g(- 4) = (- 4)² + 12 = 16 + 12 = 28

Then

\frac{f(-4)}{g(-4)} = \frac{49}{28} = \frac{7}{4}

7 0
3 years ago
Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet
Nady [450]

B) No, set of side lengths does not satisfy Triangle Inequality Theorem

5 0
3 years ago
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I need help and will give braimleiest if right plus 25 points please​
12345 [234]

Answer:

I think <2 = 37⁰

Step-by-step explanation:

if I remember correctly, if its straight across from it, it must be the same angle.

which means that 1 and 3 must have the same angle, and 2 must have the same angle as the other side, meaning its angle is 37⁰.

3 0
3 years ago
Read 2 more answers
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