If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and 7'0", what is the standard deviation of the heights of the population?

a. 1"

b. 12"

c. 6"

d. 4"

e. 3"

Answers

Answer 1

Answer:

4 inches

Step-by-step explanation:

the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4

Answer 2

The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean. The correct option is e.

What is the empirical rule?

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

It is given that the heights of a large population of ostriches are normally distributed. The percentage of these heights is within 3 standard deviations of the mean.

As we know from the empirical rule:

It is the rule of 68-95-99.7.

From the data given in the question: The height of a large population of ostriches is normally distributed.

X ~ (u, б²)

Normal distribution.

P{u - 3б < X < u + 3б}

From the distribution table:

P{u - 3б < X < u + 3б} = 99.7%

Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

Learn more about the empirical rule here:

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Related Questions

Classify each triangle by its angles and sides.

ABE

BEC

DEF

CDF​

Answers

Answer:

scalene right

isosceles obtuse

equilateral equilateral

scalene acute


Please help!!

Answers:
A)Triangle HGF is congruent to triangle FEH.
B) Triangle GFH is congruent to EFH
C) Angle KHE is congruent to angle KHG
D)Angle GHK is congruent to angle EFK
E)Segment EH is congruent to segment GH
F)Segment HG is congruent to FE
G)Segment FH is congruent to segment HF

Answers

Answer:

I guess HEF is congruent to GFH

But it's just guess I'm not confirm

Answer:

A.

Step-by-step explanation:

the triangle HGF is congruent to traingle FEH

Solve for x.

(x÷2)+6=50


x = 22

x = 28

x = 38

x = 88

Answers

The answer is x = 88

Alex made 135 out of 540 cookies for the bake sale. What percent of cookies did Alex make for the bake sale?
A. 40%
B. 30%
C. 25%
D. 50%

Answers

Answer:

c) 25%

Step-by-step explanation:

135÷540=0.25

so 25%

please help me with this

Answers

Answer:

Okay the answer is

Answer:

3+(4+5) - (3+4)+5

7 . (2 . 5) - (7 . 2) . 5

5 . 9 - 9 . 5

3+4 - 4+3

The Dot's mean multiplication

Step-by-step explanation:

! ! ! Angles ! ! !
(worth ten points)
~
Javier wants to prove that triangle MNP is similar to triangle RSP.
What missing piece of information does Javier need to prove that the triangle MNP is similar to triangle RSP by the Angle-Angle Similarity Postulate?
~
A.) Javier needs to know the measure of angle P.
B.) Javier needs to know the measure of angle M.
C.) Javier needs to know the measure of angle S.
D.) Javier needs to know that segment MN is parallel to segment SR.
~

Answers

Answer:

its a

Step-by-step explanation:

:)

can someone help me with these:2: 302×10^-8. 3:6.8×10^3 . 4 : 9.1×10^-7. 5: 2.3 ×10^4 please need this by 12:10 pm​

Answers

Answer:

Here are your answers!

302×10^-8 = 0.00000302

6.8×10^3 = 6800

9.1×10^-7 = 9.1e-7 OR 0.00000091

2.3 ×10^4 = 23000

Step-by-step explanation:

It looks like these are all questions that require you to move the decimal point. I suggest Following PEMDAS and doing the exponents first. Then counting the number of 0's in the simplified number and moving the decimal that many places. If the answer after solving the exponent is negative move to the left, if it is positive move to the right.

Working simultaneously, four fudge machines complete a big order in 32 hours. All the machines at the fudge factory work at the same pace. How many hours would it take to complete the order with twice the number of working machines?

Answers

Answer:

4 Hours

Step-by-step explanation:

Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.

So:

1/x + 1/x + 1/x + 1/x = 1/32

1/4x = 1/32

4x = 32

x = 8

Thus, the rate of the machines is 1/8.

Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.

1/8 + 1/8 = 1/y

1/4 = 1/y

y = 4

The time taken to complete it is 4 hours.  

HERE IS YOUR ANSWER MATE

HAVE A GREAT DAY AHEAD

LOVE FROM INDIA

What is the value of 5+6−32(8÷14)?

Answers

Answer:

-7.3

Step-by-step explanation:

The points ​(​18,21​) and ​(42,​49​) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.

Answers

Answer: 5/2

Step-by-step explanation: 49 - 42/ 21 - 18

Jon is 3 years younger than Laura. The product of their ages is 1,330. If j represents Jon’s age and represents Laura’s age, what value of j could be Jon’s age?

Answers

Answer:

35

Step-by-step explanation:

The factors chosen are 35 and 38 which multiplied = 1330(the product) Laura is 3 years older than jon so she is 38 and Jon is 35.

How many solutions does this nonlinear system of equations have?
A. 1
B. 4
C. 0
D. 2

Answers

Answer:

A

Step-by-step explanation:

Answer:

its 2

Step-by-step explanation:

Find the unit rate: 6 children from 2 families.

Answers

Answer: For every 1 family there is 3 children.

Step-by-step explanation:

Round 11.036568047 to 4 decimal places.

Answers

Answer:

11.0366

Step-by-step explanation:

Look at the 5th digit after the decimal place. If it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 - 6 is higher than 5 so the number is rounded up to 11.0366

Hope this helps!

The number is rounded up to 11.0366.

How to identify the place value of a digit in a number?

The place values on left of decimal point start as ones, tens, hundreds, and so on...

The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on..

Thus, The tens means multiply by 10

Thus, The tenth means tenth part of that digit which is that digit divided by 10

If we Look at the 5th digit after the decimal place. it is a 4 or lower, round down. If it is a 5 or higher, round up:

11.03656 -

6 is higher than 5 so, the number is rounded up to 11.0366.

Learn more about the decimal here;

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Proportional quantities are always in the same _______________.

Answers

Answer:

unit

Step-by-step explanation:

proportion are always in same unit

e.g 100m/50m = 1m/2m

answer this pleaseeeeee ill give brainliest What is an equation of the line that passes through the points (-6, 3) and (-5, 2)?

Answers

Answer:

y-3=-1(x+6)

Step-by-step explanation:

I gotchu

brainliest tho?

Please help! I need help T-T

Answers

Answer:

$130.00

Step-by-step explanation:

674-284=390

390/3=130

what that person said :(

A rental car agency charges $240 per week plus 0.25 per miles to my car how many miles can you travel in one week for 432.50​

Answers

432.5-240= 192.50

192.50/.25=770miles

[tex]a\sqrt{a} +2a + \sqrt{a} +2\\[/tex]

Answers

Step-by-step explanation:

= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex](a+1)(\sqrt{a} +2)[/tex]

please give me a brainliest answer

guys pls help me!!!!!!!

Answers

x=159⁰c (vertically opposite angles)

Please mark BRAINLIEST.

Look!! I need the answer asap, please!
[tex]\bf x+38=-25[/tex]

Answers

Answer:

-63

Step-by-step explanation:

= > x + 38 = - 25 = > x = - 25 - 38 = > x = - 63...ans

HOPE IT HELPS YOU!!!!

Answer:

-63 that should help

Step-by-step explanation:

In a movie theater, the first row contains 3 seats, the second row contains 6 seats, the third row contains 9 seats, and the fourth row contains 12 seats.
A.) Write explicit rule for sequence
B.) Write recursive rule for sequence.

Answers

Answer:It's an arithmetic sequence with a common difference, d, = 4

A1 = 8

A2 = 8+4 = 12

A3 = 12+4 = 16   = 8+4(3-1) = 8+4(2) = 8+8

AN = A1 + d(N-1)

AN = 8 +4(N-1)  =  the Nth term in the sequence

Step-by-step explanation: hoped it helped

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 95 miles per hour. The westbound train
travels at 85 miles per hour. How long will it take for the two trains to be 432 miles apart?
Do not do any rounding.

Answers

Answer: 2.4 hours

Explanation:

85x + 95x = 432

To solve you combine like terms. The like terms are 85x and 95x

85x + 95x = 180x

Now you have

180x = 432

Now divide by 180

432 divided by 180 is 2.4

X= 2.4

I think that’s how you do it

Anna challenges Sarah to a game where Sarah flips a fair coin and then randomly chooses a card from a small deck of cards that includes only 111 jack, 111 queen, 111 king, and 111 ace.The only way Sarah can win is by flipping heads and then choosing either the jack or the queen.If XXX is a random variable that represents Sarah's outcome, drag the bars to graph the probability distribution for all possible values of XXX.

Answers

The probability distribution for all possible values of X are given in the discrete probability table ;

X : ____ winning ____ not winning

P(X) : ____ 0.25 ________ 0.75

Fair coin = {H, T}

card = {J, Q, K, A}

Sample space :

__ H ___ TJ | HJ __ TJQ| HQ __TQK| HK __ TKA| HA __ TA

Total possible outcomes = sample space = 8

Winning selection = {HJ, HQ}

Probability of winning ; P(Winning) = 2/8 = 1/4 = 0.25

Probability of not winning ;

1 - P(wininng) = 1 - 1/4 = 3/4 = 0.75

X : ____ winning ____ not winning

P(X) : ____ 0.25 ________ 0.75

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A teacher chooses two students in a class of 15 girls and 10 boys. The students are randomly chosen. What is the probability that the teacher chooses two girls?
1. 3/5
2. 3/7
3. 7/12
4. 7/20

Answers

Answer:

15/25 which simplifies to 3/5 which is the first answer

Step-by-step explanation:

Use the example as a model. Simplify the expressions.
t^37 = ✔ i

t^82 = ✔ –1

Answers

Answer:

After , the sequence repeats itself

Divide 37/4 = 9 R 1. Now use the remainder and find which one of the values of i it matches.

so

Step-by-step explanation:

The expressions are simplified as;

i. t = ∛i

ii. t = 1

How to simply the expressions

From the information given, we have that;

Simplifying  [tex]t^3^7[/tex] = √i

When [tex]t^3^7[/tex]equals i (the imaginary unit), we can solve for "t" by taking the 37th root of both sides:

[tex]t^3^7 = i[/tex]

[tex]t = \sqrt[3]{i^3^7}[/tex]

[tex]t = i^(^3^7^/^3^)[/tex]

Since i^4 = 1 (i raised to the power of 4 is 1), we can simplify the exponent:

[tex]t = i^(^1^2 ^+ ^1^/^3^)[/tex]

[tex]t = i^1^2 ^* i^(^1^/^3^)[/tex]

Now, since[tex]i^1^2[/tex] = 1 and [tex]i^(^1^/^3^)[/tex] represents the cube root of i, we have:

t = 1 * ∛i

t = ∛i

Simplifying [tex]t^8^2[/tex] = √ –1:

Take the 82nd root of -1

[tex]t^8^2 = -1[/tex]

t = [tex]\sqrt{(-1)^8^2}[/tex]

t = √1

t = 1

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GUYSSS PLSSS HELP ME WITH THIS QUESTION :))

Answers

Answer:

17

Step-by-step explanation:

1) if to solve the first inequation, tnen 3x<52; ⇔ x<52/3;

2) if to solve the seconde inequation, then 2x≥24; ⇔ x≥12.

3) according to the items 1 and 2 x∈[12;52/3);

4) the largest prime number is 17.

Mmmmm help HELPPPPP,,,,,,

Answers

Answer:

I guess it's 63degrees

I hope it will help

equivalent equation to 3/50-x/50=7/50

Answers

Answer:

x=-4

Step-by-step explanation:

Multiply both sides by 50 and you get

3-x =7,

so x= -4

Which number is less than 8/3​

Answers

Answer:

A I belive

Step-by-step explanation:

Just divide the top number with the bottom

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