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rjkz [21]
2 years ago
6

When Samuel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 32 minutes and a

standard deviation of 5 minutes. Using the empirical rule, what percentage of his commutes will be between 17 and 47 minutes?
Mathematics
1 answer:
k0ka [10]2 years ago
8 0

Answer:

z=\frac{x-\mu}{\sigma}

And we can find the nnumber of deviations from the mean for each limit given:

z_1 = \frac{17-32}{5} = -3

z_2= \frac{47-32}{5} = 3

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

Step-by-step explanation:

Let X the random variable that represent the amount of time it takes him to arrive, and for this case we know the distribution for X is given by:

X \sim N(32,5)  

Where \mu=32 and \sigma=5

We want to find this probability:

P(17

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

And we can find the nnumber of deviations from the mean for each limit given:

z_1 = \frac{17-32}{5} = -3

z_2= \frac{47-32}{5} = 3

So we are 3 deviation from the mean and using the empirical rule we know that within 3 deviations from the mean we have 99.7% of the values

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Answer:

W=1000C/tc

Step-by-step explanation:

First multiply both side 1000: 1000C=Wtc

Divide both side by tc: 1000C/tc=W (t, c ≠0)

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3 years ago
11th grade geometry:
Aliun [14]

Answer:

<em>The perimeter is 72 units and the area is 149 square units.</em>

Step-by-step explanation:

\triangle SBA has coordinates S(15,-8),B(-2,21) and A(0,0)

Using the distance formula.........

Length of side SB = \sqrt{(15+2)^2+(-8-21)^2}= \sqrt{17^2+(-29)^2}= \sqrt{1130}

Length of side BA= \sqrt{(-2)^2+(21)^2}= \sqrt{445}

Length of side AS =\sqrt{(15)^2+(-8)^2}=\sqrt{289}=17

So, the perimeter of the triangle will be:  (SB+BA+AS)= \sqrt{1130}+ \sqrt{445}+17 =71.71... \approx 72 units.   <em>(Rounded to the nearest unit)</em>

The height of the triangle for the corresponding base SB is 8.89 units.

<u>Formula for the Area of triangle</u>,  A= \frac{1}{2}(base\times height)

So, the area of the \triangle SBA will be:  \frac{1}{2}(\sqrt{1130}\times 8.89)= 149.42... \approx 149 square units.   <em>(Rounded to the nearest unit)</em>

3 0
3 years ago
Simplify 10 + 4(x + 1) + 5
Levart [38]
Distribute
10+4x+4+5

Combine like terms
19+4x

Final answer: 4x+19
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Rainbow [258]
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A cone-shaped dispenser is filled with cereal. The cone has a radius of 1.5 inches and a height of 5 inches. Which measurement i
Svetach [21]

Answer:

Option B. 11.78\ in^{3}

Step-by-step explanation:

we know that

The volume of a cone is equal to

V=\frac{1}{3} \pi r^{2}h

we have

r=1.5\ in

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substitute

V=\frac{1}{3} \pi (1.5)^{2}(5)

V=3.75\pi\ in^{3}

assume

\pi =3.14

V=3.75(3.14)=11.78\ in^{3}

3 0
2 years ago
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