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adelina 88 [10]
3 years ago
9

You have a normal distribution of hours per week that music students practice. The mean of the values is 8 and the standard devi

ation of the values is 4. According to the normal distribution model that corresponds to this population, what percentage of the students practice between 6 to 10 hours per week? Use the graph of the standard normal distribution given below to find the percentage. 19% 30% 34% 38%
Mathematics
1 answer:
Alona [7]3 years ago
5 0

Answer:

38%

Step-by-step explanation:

Given that X,the hours per week the music student practice follow a normal distribution.

X:N(8,4)

We have to find the percentage of students who practice between 6 and 10 hours.

6<x<10 implies converting to z

We know z = (x-mean)/sigma = (x-8)/4

Hence 6<x<10 is equivalent to (6-8/4)<Z<(10-8/4)

= |z|<0.5

From std normal table we find this area equals = 0.1915+0.1915

=0.3830 = 0.38 (rounded off)

Hence required percentage = 0.38x100 = 38%

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The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

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Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.

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Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?

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Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,

the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,

\rm  Speed = \dfrac{Distance}{Time}

Substitute the values in the equation,

\rm  Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97}  \ miles \ per \ minute

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\rm  Speed = \dfrac{50}{97}  \ miles \ per \ minute\\\\  Speed = \dfrac{50}{97}  \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\

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Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.

For more details about Equation refer to the link given below.

brainly.com/question/971941

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