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3 years ago

Are 5 multilyed by 7h and 35h equvalent

2 answers:

6 0

Yes because 7h means 7 times h
this is equivilent to 5 times (7 times h)
using the associative property whieh says a(bc)=(ab)c therefor
5 times (7 times h)=(5 times 7) times h
5 times 7=35 so
this equals
(5 times 7) times h=(35) times h=35h

so yes it is equivilent

ololo11 [35]3 years ago

5 0

If there was no h on 35 then it would be equivalent but, since there is an h and that represents multiplying then you would have to multiply 35 and 5.

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a) Atleast 75%

b) Atleast 88.9%

c) 95%

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We are given the following information in the question:

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

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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

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

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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.

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

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3 years ago