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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:

300

Step-by-step explanation:

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6 0
2 years ago
7-5=2 so what is 7-2=? , free
Sergio [31]

Answer:

If 7 minus 5 equals 2, then 7 minus 2 equals 5.

Step-by-step explanation:

This is because of the associative property of equality.

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6 0
2 years ago
Simplify each expression:<br> -(14 + x)
bearhunter [10]

Answer:

-14-x

Step-by-step explanation:

Distribute the negative.

7 0
3 years ago
Read 2 more answers
A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late
Molodets [167]

Answer:

The clearance price is $17.28.

The clearance price will not give the store any profit.

Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)

\text{Price of the hat after an increase of 60\%}=20+(0.60*20)

\text{Price of the hat after an increase of 60\%}=20+12

\text{Price of the hat after an increase of 60\%}=32

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)

\text{Price of the hat after sale of 10\%}=32-(0.10*32)

\text{Price of the hat after sale of 10\%}=32-3.2

\text{Price of the hat after sale of 10\%}=28.8

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)

\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)

\text{Price of the hat after clearance sale}=28.8-11.52

\text{Price of the hat after clearance sale}=17.28

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

7 0
2 years ago
Adding and subtracting mixed numbers with unlike denominators
Agata [3.3K]

Answer:

Step-by-step explanation: You need to find a the lowest number that the denominators can be timed by. In you're case. You can just times 5 by 2 = 10

So that both the denominators are 10. And the denominator that was once 5. The numerator of that fraction also needs to be timed by 2.

So then you have 7 18/10 - 6 15/10

Then you can convert them to to proper fractions 8 8/10 - 7 5/10

Then you can take away the fractions so it's

8 8/10 - 7 5/10 = 1 3/10

7 0
2 years ago
Read 2 more answers
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