The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?

a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F

(Type an integer or a decimal. Do not round)

Answers

Answer 1

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%


Related Questions

Megan deposits 4300 into an account that pays simple interest when she withdraws her money 6 months later she receives $4,536.50 what rate of interest did the account pay round to the nearest whole percent ​

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Answer:

4500

Step-by-step explanation:

because if you round 4,536.50 you will get 4500 since 36 is before 50+

Answer:4500

Step-by-step explanation:

Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.

How much longer did Sarah practice than Eloise?

Answers

Answer:

34 - 25 = 9

Step-by-step explanation:

I’m not sure what it’s asking for, do you mean 25 minutes of an hour and 34 minutes of an hour? If so then Sarah practiced 9 minutes more.
I’m sorry if this isn’t very helpful, I don’t really understand the question :)

In a coordinate plane, plot the points and sketch angle. Write the coordinates of a point that lies in the interior of the
angle and the coordinates of a point that lies in the exterior of the
angle.
A(-5,0)
B(-1,-4)
C(4,2)

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Answer:

A.

Step-by-step explanation:

A homogeneous 1300 kg bar AB is supported at either end by a cable. calculate the stress acting in bronze bar in N/mm² if stress should not exceed to 120MPa for steel and the area of the bronze bar and steel bar is 40.05 mm² and 36.33 mm² respectively.​

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Answer:

4553332 is the answer

Step-by-step explanation:

Can you help me identify where I went wrong? I'm having trouble understanding this concept and I need to in order to understand what I will be learning next, thank you!

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Step-by-step explanation:

Your work is correct.  First, you graphed the region.  The minimum or maximum is always at the corner, which you found to be (3.08, 3.64).

The value of C at this point is C = 14.

Write a positive or negative number for each situation.
a. you win $150 in a contest
b. a loss of 15 yards in a football game
c. 75 feet below sea level
d. 35 degrees above 0 degrees F
e, a debt of $24.75

Answers

a) +150; b) -15; c) -75; d) +35; e) -24.75

What is m,y-intercept and the y

Answers

Answer: The slope is 500 and the y intercept is 0.

Step-by-step explanation:

To find the slope we need to find the rise and divide it by the run. The y intercept will be when x is equal to 0. And when x is 0 y is also zero because it cuts through the origin meaning that the y-intercept is  0.

The line rises up by 1000 and run by 2 to the right.

Slope :  1000/2 = 500

The slope is 500.

slope-500 y inc -0.......

(Will give you alot of points please help ASAP)Are these ratios equivalent?

5 altos for every 4 sopranos

15 altos for every 13 sopranos

Group of answer choices

Yes

No

Answers

Answer:  No

==================================================

Work Shown:

(5 altos)/(4 sopranos) = (15 altos)/(13 sopranos)

5/4 = 15/13

13*5 = 4*15 .... cross multiply

65 = 60

The last equation is false, so the first equation is false

---------------

Alternative ratio

(5 altos)/(15 altos) = (4 sopranos)/(13 sopranos)

5/15 = 4/13

5*13 = 15*4

65 = 60

We end up with the same false equation

The given values are not in the same proportion.

The ratios are not equivalent.

------------------

Yet another way to look at it

Note the jump from 5 altos to 15 altos is "times 3"

So if we started with 4 sopranos, then we must have 4*3 = 12 sopranos as our next count.

If the second line changed "13 sopranos" to "12 sopranos", then we would have equivalent ratios.

It’s no even though someone else already answered it:/

I'm in my feelings again. Sad and Heartbroken. I guess those would be the same thing, but whatever.

Answers

Answer:

same here. i went through a breakup of 2 years, i'm super behind in school, and i've been grounded for the past 5 months and haven't spoken to any of my friends. i've learned that life is tough, but so are you. whatever is making you feel this way will pass. just try to find little things that make you happy. the most beautiful views come from the hardest climbs. you'e gotta make the most before the coffin.

Step-by-step explanation:

i hope this helps you, or at least encourages you. i don't know what is happening in your life but i know you can get through it. i'm here for you if you need me in the comments. i have super strict parents so i don't have any socials, but if you wanna talk or play together when i get ungrounded, my r0blox is adriii_rose and my pinterest is also adriii_rose. good luck and have a great day/night. best wishes! ❤️✨

Answer:

❤️❤️❤️

Step-by-step explanation:

2 2/3 divided by -8/9

Answers

Answer:

-3

Step-by-step explanation:

simplify the expression

Answer:

-3

Step-by-step explanation:

Lorie is using long division to find the quotient of x^3 + 6x^2 + 5 and x^2 + x -1, as shown at the bottom of this question.

What mistake did Lorie make?

A. She added an extra term to the dividend.

B. She combined the constants incorrectly in the last step.

C. The second term in the quotient should be 7.

D. The last term in the quotient has an incorrect denominator.

Answers

Answer:

Option (B)

Step-by-step explanation:

x² + x - 1) x³ + 6x² + 0x + 5 ( x + 5

           - (x³ +   x²  -  x)

                      5x² + x + 5

                    -(5x² + 5x - 5)

                             -4x + 10

Result : [tex]x+5+\frac{-4x+10}{(x^{2}+x-1)}[/tex]

By the comparing the result with the Lorie's solution,

She made a mistake in the last step in which she combined the constant incorrectly.

Therefore, Option (B) will be the answer.

Multiply -2.6 (-3.4)=

Answers

Answer:

8.84

Step-by-step explanation:

Answer:

8.84

Step-by-step explanation:

what is the solution of 7k+2=4k-10? (anwser asap plz)

1.- Divison property of Equality
2.- Simplify
3.-Subtraction Property of Equality
4.- Subtract

Answers

Answer:

3

Step-by-step explanation:

Answer:

k = -4

division property

Step-by-step explanation:

if loga81=4, find value of a?​

Answers

Answer:

[tex]\huge\boxed{a=4}[/tex]

Step-by-step explanation:

[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]

A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)

Answers

Answer:

Step-by-step explanation:

Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]

[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]

where:

n = 26

k = 5

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]

[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]

[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]

Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen

Which of the following is a rational number?
Square root of 15, square root of 16, square root of 21, square root of 22

Answers

Answer:

square root of 16

Step-by-step explanation:

4x4=16


Kindly help me with this question. (Chapter - Complex Numbers)

Answers

Answer:

z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down

Step-by-step explanation:

∵ z1 = 4 + 3i

∵ z2 = 3 - 2i

∵ z3 = i + 5

Find the left side

∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]

∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]

∴ z1(z2 + z3) = (4 + 3i)(8 - i)

∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)

∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²

→ Remember that i² = -1

∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)

∴ z1(z2 + z3) = 32 - 4i + 24i + 3

→ Add the like terms

∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)

z1(z2 + z3) = 35 + 20i

Find the right side

∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)

∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]

→ Replace i² by -1

∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]

∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]

→ Add the like terms

∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]

z1 z2 + z1 z3 = 35 + 20i

∵ The left side = 35 + 20i

∵ The right side = 35 + 20i

∴ The left side = the right side

z1(z2 + z3) = z1 z2 + z1 z3

Solve for x.

6(x – 1) = 9(x + 2)

Answers

Answer: -8

Step-by-step explanation:

Distribute 6 to x and -1

6x-6=9(x+2)

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Add 6 to both sides

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Subtract 9x from both sides

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Divide -3 from both sides

X=-8

The answer is -8 hope that helps lol

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Answers

x is the amount of movies and f(x) is total cost

If you take -3/10 of a number and add 1, you get 10. Let x represent the original number. A. Write an equation that represents the situation. B. What is the original number

Answers

Answer:

A. -(3/10)x + 1 = 10

B. x = -30

Step-by-step explanation:

A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10

B. in solving this, first we subtract 1 from both sides, to get

-(3/10)x = 9

then, we divide both sides by -3/10 to get

x = -30

Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?

Answers

4.902

4= ones
9= tenths
0= hundredths
2= thousandths

1. Michael deposited $500 in his bank account that pays 4% semi-annual compounded interest. If he does not touch the money for 5 years, how much money will be in the account?​

Answers

Answer:

$609.50

Step-by-step explanation:

A = P(1 + r/n)^nt

   = 500(1 + [tex]\frac{.04}{2}[/tex])^2(5)

   = 500(1.02)¹⁰

    = 500(1.218994)

    = 609.497

Round answer up to $609.50

The ratio of boys to girls in Ella's grade is 3 to 4. The ratio of boys to girls in Minh's grade is 4 to 5. Each grade has a total of 20 girls. How many boys are in each grade?​

Answers

Ella’s grade has 15 boys whilst Minh’s grade has 16 boys - hope this helps!

Write 82/1000 as a decimal

Answers

Answer: 0.082

Step-by-step explanation: Two Ways: Divide 82.000 by 1000 which equals to 0.082. OR Write 82 and then move the decimal 2 spots to the left, so that it turns into 0.082.

Please I need some answers a few is fine

Answers

I may be wrong but in order from least to greatest
On A 36 comes before 4 but 36 is greater than 4 so it can’t be A

On B 19 comes before 15 so it can’t be B

On C 81 is bigger than 11 but 81 comes first

So that leaves D. I may be wrong but from process of elimination it leaves D
i think it is D, A, B, C

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Answers

-5.33333333333

I used a calulator can I get brainliest please

ayer 100% A company sells cases of tomato juice. Each case contains 24 cans of juice and sells for $18. The equation y = 18x represents the total price ( y), in dollars, when x number of cases are sold. Choose all statements about the situation that are correct based on the information. A. The cost per can is dependent on the number of cases sold. B. The number of cans sold is dependent on the price per can. C. The total price for a sale is dependent on the number of cases sold. D. The number of cases sold is independent from the number of cans in each case.​

Answers

Answer:

c

Step-by-step explanation:

Answer:

C is the answer

please answer asap!!

Answers

Answer:

∠QPR = 40°

Step-by-step explanation:

According to the question the line PQ ⊥ PS which means that they both are perpendicular angles. Perpendicular angles are always 90°, so,

∠QPR + ∠RPS = 90°

=> 7x - 9° + 4x + 22° = 90°

=> (7x +  4x) +(22 - 9)° = 90°

=> 11x + 13° = 90°

=> 11x  = 90° - 13°

=> 11x = 77°

=> x = 77/11

=> x = 7

So, now that we have x, we can find ∠QPR,

7x - 9°

=> (7 * 7 - 9)°

=> (49 - 9)°

=> 40°

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

How many hundredths are in one tenth how many thousandths are in one hundredth

Answers

Answer:

10 hundredths

Step-by-step explanation:

One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.

write an equation that represent the table​

Answers

Answer:

y equals 5x + 20

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