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Naddika [18.5K]
4 years ago
9

Please answer for brainly <3 (correctly)

Mathematics
2 answers:
Westkost [7]4 years ago
8 0
7. d, Julie and randy both walk 5 miles
kari74 [83]4 years ago
4 0
For the first problem, you can multiply each of their distance from school by the how far they are to get how much they walked. Randy would look like this:
6 \times  \frac{2}{3}  \\  \frac{6 \times 2}{3}  \\  \frac{12}{3}  \\ 4
So he walks 4 miles. Sasha would look like:
7 \times  \frac{4}{7}  \\ 28 \div 7 \\ 4
This means Sasha walks 4 miles as well.
Julie's would look like this:
8 \times  \frac{1}{2}  \\  \frac{8}{2}  \\ 4
Julie also walks 4 miles.
From this, we can see that C is the only correct statement.

As for the second, the number 3.444444... would be considered a real and rational number because you can make it a fraction sort of like 1/3 and 0.33333..., so it would be a rational number. A real number is any number that doesn't have a imaginary variable next to it, so it would also be real.
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The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70−5x .
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Read 2 more answers
The results of a national survey showed that on average, adults sleep 6.7 hours per night. Suppose that the standard deviation i
Roman55 [17]

Answer:

a) Atleast 75%

b) Atleast 88.9%

c) 95%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.7

Standard Deviation, σ = 1.6

Chebyshev's Theorem:

  • Atleast 1 - \dfrac{1}{k^2} percent of data lies within k standard deviation of mean.

Empirical Rule:

  • Almost all the data lies within 3 standard deviation for a normal data.
  • Around 68% of data lies within 1 standard deviation of mean.
  • Around 95% of data lies within 2 standard deviation of mean.
  • Around 99.7% of data lies within 3 standard deviations o mean.

a) minimum percentage of individuals who sleep between 3.5 and 9.9 hours

3.5 = \mu - 2\sigma = 6.7 - 2(1.6)\\9.9 = \mu + 2\sigma = 6.7 + 2(1.6)

We have to find the percent of data lying within 2 standard deviation of mean.

Putting k =  2

1 - \dfrac{1}{(2)^2} = 0.75 = 75\%

Atleast 75% of of individuals who sleep between 3.5 and 9.9 hours.

b) minimum percentage of individuals who sleep between 2.7 and 10.7 hours

2.7 = \mu - 3\sigma = 6.7 - 3(1.6)\\10.7 = \mu + 3\sigma = 6.7 + 3(1.6)

We have to find the percent of data lying within 3 standard deviation of mean.

Putting k =  3

1 - \dfrac{1}{(3)^2} = 0.889 = 88.9\%

Atleast 88.9% of of individuals who sleep between 2.7 and 10.7 hours.

c)  percentage of individuals who sleep between 3.5 and 9.9 hours per day.

Thus, we have to find the percentage of data lying within 2 standard deviation.

By empirical rule, around 95% of data lies within 2 standard deviation.

Thus, 95% of of individuals who sleep between 3.5 and 9.9 hours.

This is higher than the percentage obtained from Chebyshev's rule.

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3 years ago
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