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yuradex [85]
3 years ago
14

The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol

lows the continuous uniform distribution with an early arrival time of 9:18 am and a late arrival time of 9:41 am.
After converting the time data to a minute scale, calculate the mean and the standard deviation for the distribution.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

M = \frac{a+b}{2}

The standard deviation is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5

Standard deviation:

S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

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Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for
yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the ordered pairs

(100,54) and (660, 138)

substitute

m=\frac{138-54}{660-100}

m=\frac{84}{560}=\$0.15\ per\ minute

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=0.15\\point\ (100,54)

substitute

y-54=0.15(x-100)

step 3

Convert to slope intercept form

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therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0
3 years ago
Which mathematical equation represents the solution for k in the equation h + 3 = jk + 6k ?
Tomtit [17]

Answer:

The answer is<u> D.</u> h+3/j+6.

Step-by-step explanation:

Given:

The equation h + 3 = jk + 6k.

Now, to get the mathematical expression.

h + 3 = jk + 6k

So, taking k common on R.H.S we get:

h + 3 = k(j + 6)

Then, dividing both sides by j+6  we get:

\frac{h+3}{j+6} =k

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lana66690 [7]

Answer:

a

Step-by-step explanation:

i did  this in middle shoool

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6 0
2 years ago
(4 + 32)(15 – 23)<br> can someone help me out with the answer? :,)
hoa [83]

Answer:

-288

Step-by-step explanation: I took the following steps to find the answer:

(4 + 32)(15 – 23)

\             /

 (36)(15 – 23)

           \          /

 (36) (- 8)

   \        /

    -288

4 0
2 years ago
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