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shutvik [7]
2 years ago
15

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of

10. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.
Mathematics
1 answer:
KengaRu [80]2 years ago
6 0

Answer:

G=93\ to\ 147

Step-by-step explanation:

From the question we are told that

Mean x= 120  

Standard deviation \sigma= 9

Percentage for men =99.75%

Generally the empirical rule 68%,95% and 99.7% of data value lay b/w 1,2,3 standard deviation of mean  

Standard deviation n= 9

Mean x= 120

Generally the interval  of systolic blood pressure for middle 99.7 of male G is mathematically given as

G=Mean \pm 3* \sigma

G=120 \pm 3*9

G=93\ to\ 147

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Answer:

173 inches

Step-by-step explanation:

i don't entirely understand the question but i think you're trying to add 3 feet 6 inches + 8 feet 2 inches + 4 inches + 2 feet 5 inches?

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

<em>i've added these parentheses in order to make it easier to see the grouped measurements. this isn't necessary but i'm just doing it to hopefully aid my explanation since there's so many terms in the expression!</em>

<em />

start by converting everything to inches just to make the addition as well as showing your work easier. all you have to do is multiply the amount of feet by 12 because there are 12 inches in a foot! :)

<u>(3 feet 6 inches)</u><u> + (8 feet 2 inches) + (4 inches) + (2 feet 5 inches)</u>

for your first measurement, <u>3 feet 6 inches</u>, convert 3 feet to inches by multiplying the amount of feet, 3, by 12.

3(12) = 36<em> (therefore 3 feet is equal to 36 inches!)</em>

and add the remaining 6 inches.

36 + 6 = 42 <em>(therefore 3 feet 6 inches is equal to 42 inches!)</em>

<em />

<u>(3 feet 6 inches) + </u><u>(8 feet 2 inches)</u><u> + (4 inches) + (2 feet 5 inches)</u>

for your second measurement, <u>8 feet 2 inches</u>, convert 8 feet to inches by multiplying the amount of feet, 8, by 12.

8(12) = 96 <em>(therefore 8 feet is equal to 96 inches!)</em>

and add the remaining 2 inches.

96 + 2 = 98 <em>(therefore 8 feet 2 inches is equal to 98 inches!)</em>

<u>(3 feet 6 inches) + (8 feet 2 inches) + </u><u>(4 inches)</u><u> + (2 feet 5 inches)</u>

nothing needs to be done to this quantity since it's already in inches.

<u>(3 feet 6 inches) + (8 feet 2 inches) + (4 inches) + </u><u>(2 feet 5 inches)</u>

for your fourth measurement, <u>2 feet 5 inches</u>, convert 2 feet to inches by multiplying the amount of feet, 2, by 12.

2(12) = 24 <em>(therefore 2 feet is equal to 24 inches!)</em>

and add the remaining 5 inches.

24 + 5 = 29 <em>(therefore 2 feet 5 inches is equal to 29 inches!)</em>

now, here is the expression with everything in inches.

<u>42 inches + 98 inches + 4 inches + 29 inches</u> <em>aka</em> <u>42 + 98 + 4 + 29</u>

<u />

now add everything up!

42 + 98 + 4 + 29 = 173 inches

your total is 173 inches! i hope this helps and i hope i explained it well enough. have a lovely day! <3

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