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vova2212 [387]
3 years ago
5

A person runs 1 4/5 miles in 1/5 of an hour. Determine how many miles they are running per hour

Mathematics
1 answer:
Mashcka [7]3 years ago
3 0

Answer: 9 miles per hour.

Step-by-step explanation:

In 1 hour they would run (1 4/5)/(1/5) = (9/5)*5 = 9 hours. So, they are running 9 miles per hour.

You might be interested in
The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
8 0
3 years ago
etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x
nata0808 [166]

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

3 0
3 years ago
100 POINTS!!!!!!! Please help me find an equation for the data in the table.
lord [1]

Answer:

y = 4ⁿ

Step-by-step explanation:

where n is the round number and y the people receiving.

6 0
3 years ago
Read 2 more answers
If 3 is added to twice a number, the result is 17. Find the number
Crank

Answer:

7

Step-by-step explanation:

The text of this expression is:

"If 3 is added to twice a number, the result is 17. Find the number"

Let's call x the number we want to find.

Twice the number is equal to

2x

So, if we add 3 to 2x, we get

3+2x

And we know that this is equal to 17:

3+2x=17

Now we can solve the equation to find x: first, we subtract 3 from both sides

3+2x-3=17-3\\2x=14

Now we divide both sides by 2:

\frac{2x}{2}=\frac{14}{2}\\x=7

7 0
3 years ago
Which expression is equivalent to 5 x (-3)?
marysya [2.9K]
The second option: (-3)+(-3)+(-3)+(-3)+(-3) is correct because you are multiplying the -3 five times
Hope this helps!
3 0
3 years ago
Read 2 more answers
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