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Marianna [84]
3 years ago
11

John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a s

tandard deviation of 5.1 minutes. What is the probability that the commute time for a randomly selected day will be between 28 and 34 minutes?
Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer:

0.32493

Step-by-step explanation:

We have been given that John's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a standard deviation of 5.1 minutes.

We are asked to find the probability that the commute time for a randomly selected day will be between 28 and 34 minutes.

First of all, we will find z-score corresponding to 28 minutes and 34 minutes. Then, we will find area under normal curve between both z-scores.

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

z=\frac{28-26.7}{5.1}=\frac{1.3}{5.1}=0.25

z=\frac{34-26.7}{5.1}=\frac{7.3}{5.1}=1.43

Now, we need to find the probability between z-score of 1.43 and 0.25.

P(0.25.

Using formula P(a, we will get:

P(0.25

P(0.25

P(0.25

Therefore, the probability, that the commute time for a randomly selected day will be between 28 and 34 minutes, is 0.32493.

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there are 8 students on the minibus. five of the students are boys. what fraction of the students are boy
meriva
Students on the minibus = 8
students that are boys = 5
fraction of the student that are boys = ?
we can write fraction as the numerator and denominator so here the fraction of boys students is =  5/8
this fraction means and shows that there are 5 students are boys from 8 students.
3 0
3 years ago
Which decimals in the list are repeating decimals?
Llana [10]

Answer:

1/3, 4/15, 5/6, and 1/34.

Step-by-step explanation:

If you divide it and it keeps going when you divide it, it is a repeating decimal.

1/3=.333 repeating.

1/3, 4/15, 5/6, and 1/34 are the answers.

6 0
3 years ago
The volume of a right rectangular prism is 7 1/2 cm³. The height of the prism is 2 1/4 cm.
Dmitrij [34]

Answer:

C

Step-by-step explanation:

To find the area of the base of the prism, you would first multiply 7 1/2 and 2 1/4, which would leave you with 16.875. Next, you would divide by 2, which gives you 8.4375. Rounding up, you would have the answer C.

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2 years ago
Is the second side “WY and ZY” or the other way around?
sveta [45]

Answer:

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5 0
3 years ago
Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 7
AveGali [126]

Answer:

Step-by-step explanation:

The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.

Mean is the average of the data. It is the sum total of the numbers divided by the total number.

Mean = 64+72+73+60+65+86+72+69+74/9

Mean = 635/9

Mean = 70.6inches

Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude​.

On re-aaranging

60, 64, 65, 69), 72, (72, 73, 74, 86

It can be seen that the number at the middle is 72, hence the median data is 72inches

Maximum value is the highest number in the data given. The highest number is 86 according to the data.

Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.

Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts

IQR = Q3-Q1

Q3 is the upper quartile

Q1 is the lower quartile

Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74​

Q1 = 72+69/2

Q1 = 70.5

Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60

Q3 = 72+73/2

Q3 = 72.5

IQR = 72.5-70.5

IQR = 2.0

Hence the five numbers are 70.6, 72, 86, 60 and 2.0

6 0
3 years ago
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