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:

brainly.com/question/5440679

#SPJ2


Related Questions

To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diameter had grown to 251 inches in 2005. Find the average rate of change in the diameter of the tree per year.


CLEAR CHECK

1313 inches per year


-0.075 inch per year


0.075 inch per year


3 inches per year

Answers

I think it's 0.075 inch per year

Answer:

Your answer is C. or 0.075 inches per year.

Step-by-step explanation:

251-248 = 3 ( To figure out how much it grew )

2005 -1965 = 40   ( To figure out how long it took )

3/40 = 0.075

2/3x=4

Group of answer choices

a. x= 8

b. x= 6

c. x = 8/3

Answers

b, x=6

i already did this and this was the answer

Which of the following is not true?


p+q = q+p
p x q = q x p
p x (q x r)=(p x q ) x r
p - q = q - p



Plz answer my exam is going on right now

Answers

Step-by-step explanation:

the number 4 is false

p-q =-(q-p)

negative signed solution of (x+9)^2=-9
also, what changes because of "negative signed solution"

Answers

ANSWER:

18

_______________

HOPE IT HELPS YOU

CAN YOU BRAINLEST ME

$300, 5%, 2 years

explain

Answers

ANSWER:16,000

EXPLANATION:

300+5%+2YEARS=16,000

HOPE IT HELPS YOU

CAN YOU BRAINLEST ME

Answer:

16,000

Step-by-step explanation:

trust me it's right

HELP ME PLEASE I AM DESPERATE THIS IS ALMOST DUE!!!!!
What is the slope for this graph?

Answers

Answer: The answer is 2

Step-by-step explanation:

Please mark me as Brainiest

Answer: The answer is 2

Step-by-step explanation:

Match the situation to the most appropriate graph #7

Answers

Graph K. This is because the cost of a gallon of milk is not increasing constantly, as in a linear rate, but it has only increased a few times in a year. Therefore, graph K shows that a gallon of milk is a steady, unchanged price, then the cost rises and stays the same, then rises again and stays the same. So, it is not a linear graph because the cost of the milk is not going up at a constant rate.

What the answer?????

Answers

Okay,

So this equation is non existent. It is not an equation nor expression.

Key Info:

x - variable

0.256 - decimal

10.3 - decimal

Hope this helps.

Add more information to your answers. ( GIVE CONTEXT )

explain and show how please ! and give answer someone pls answer asap !

Answers

Answer:

Both angels are 70 and both added are 140.

Step-by-step explanation:

Because of the rules, that's names i never remember angle 1 and angle 2 are both 70° and obiously they equal 140.

please help I dont understand ​

Answers

Step-by-step explanation:

When it says y varies directly with x it just means that y and x are proportional/equal to each other. The constant of variation and the constant of proportionality are the same thing just different way of saying it so they can confuse you and make your life miserable. Since y and x are proportional to each other and the constant of proportionalty is -5 to make an equation that represents a line you use the formula y=mx+b. That is the slope of the line. With that formula let's first plus in the x so we have y=m2+b. The formula for direct variation is y=kx as well that's good to know and it's good to memorize all these formulas. Math becaomes easier when you have the process down pat and you just need to plug numbers into different equations, expressions, and scenarios. Do m = [y1 - y2] / [x1 - x2] and you'll get the answer.

The distributive property simplify each expression. Question 3. 3(4+3r)

Answers

Answer:

12 + 9r

Step-by-step explanation:

3(4 + 3r)

= 12 + 9r

Answer:

12 + 9r

Step-by-step explanation:

just multiply 3 by 4 and then 3r.

Simplify the expression to a + bi form:
(11 + 9i)2

Answers

Answer:

22+18i

Step-by-step explanation:

distribute the 2

22+18i

please help I dont understand​

Answers

Answer:

3rd option

Step-by-step explanation:

A direct variation is expressed in this form:

y = kx

1. y - 4x = 8

y = 4x + 8 is not a direct variation

2. y + 2 = 7x

y = 7x - 2 is not a direct variation

3. y - 3x = 0

y = 3x is a direct variation

4. y = 5x - 2

y = 5x - 2 is not direct variation

if 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4



plzz answer this question... ​

Answers

Step-by-step explanation:

Here we are given that , the Value of

[tex] 3x - 2y = 9 [/tex] [tex] 27x^3 - 8y^3 = 1377 [/tex]

And we need to find the prove that ,

[tex] xy = 4 [/tex]

We know a identity as ,

[tex] (a-b)^3 = a^3-b^3-3ab(a-b) [/tex]

On cubing both sides of the given equation,

[tex] (3x-2y)^3 = 9^3 [/tex]

Simplify and then substitute ,

[tex] 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729[/tex]

[tex] 1377 - 18xy (9) = 729 [/tex]

[tex] 162xy = 1377-729 [/tex]

[tex] xy =\dfrac{648}{162}[/tex]

[tex]xy = 4 [/tex]

Hence Proved !

Please help i reward brainliest
plz no silly answers

Answers

Answer:

64, -64, -64

-27, 27, 27

Step-by-step explanation:

If x = 4,

x³ = 4³ = 64

-x³ = -4³ = -64

(-x)³ = (-4)³ = -64

If x = -3,

x³ = -3³ = -27

-x³ = -(-3)³ = 27

(-x)³ = (-(-3))³ = 27

Solve the quadratic equation
d²-5d+6=0

Answers

Answer:

BBC

Step-by-step explanation:

Answer:

d = 6       d = -1

Step-by-step explanation:

Use displacement to factor

d²-5d+6=0

d²+d-6d-6=0

d(d+1)-6(d+1)=0

(d-6)(d+1)=0

d-6=0 or d+1=0

d = 6       d = -1

i need help ASAP!! will mark brainliest. I need to find the vertex of this problem but i don’t know how to work/solve it, pls help! thanks!!

Answers

the answer is b i took the quiz

Donna bought 4 bags of dog treats for $10.72. What is the cost per bag of dog treats?

Answers

Answer:

2.68

Step-by-step explanation:

Answer: The bags cost about $2.68 each

Step-by-step explanation: All I did was simple Division: ($10.72 ÷ 4 = $2.68) If you need to double check to see if this is accurate, you can do ($2.68 x 4= 10.72)  Therefore, this equation has an accurate answer.~

Hope this helps, have a great day/night!

~IFoundJiminsLostJams~

PLEASE HELP ME I REALLY NEED ITTT

Answers

Answer:

bru you have a head

Step-by-step explanation:

use ittt


Subtract 2y - 3 from 8y-2.

Answers

Answer:

2(3y-2)

Step-by-step explanation:

Collect like terms

6y-4

Simple terms

2(3y-2)

I NEED HELP FAST! WHOEVER GETS RIGHT GETS BRAINLY Explain how to evaluate the expression 4x+10 for x=5.

Answers

Evaluating expressions involve substituting the given value for x into the equation.

If x = 5:

4x + 10 = 4(5) + 10 = 20 + 10 = 30

Therefore, 4x + 10 = 30 when x = 5.

SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?

Answers

Answer:

Step-by-step explanation:

0.15x-0.08(26,500-x)=98.00

15x-212000+8x=98,500

23x+212000=98,500+212000

23x/23= 310500/23

x = 13500 (was invested in the account that gained 15% )

26500-13500=13000 (was invested in the account that lost 8%.)

3|-d + 2| + 1 if d = 4

Answers

Answer:

7

Step-by-step explanation:

reminder that the absolute value function always gives a positive result.

3 | - d + 2 | + 1 ( substitute d = 4 )

3 | - 4 + 2 | + 1

= 3 | - 2 | + 1

= 3 × 2 + 1

= 6 + 1

= 7

HELP PLEASE I DON´T UNDERSTAND RATIOS!

Answers

Answer:

Jake made 7 bead strings

Step-by-step explanation:

The ratio is 2:6 next would be 4:12 then 6:18 and so on. You just add what you started with to the corresponding side. 8:24, 10:30, 12:36, 14:42. The right side is 3x the left side.

Answer:

Step-by-step explanation:

You don't really need to use ratios for this question. You need to understand that for each necklace he uses 2 red and 6 whites.

Let the number of necklaces he can make = x

The total number of beads = 56

2x + 6x = 56

8x = 56                     Divide by 8

8x/8 = 56/8

x = 7

So the number of necklaces possible is 7.

If you insist on doing this with ratios then you could do it as

2/8 = x/56   What this means is that 2 reds to the total = x / 56. The 56 is the total number of beads used. The x represents the number of reds.

2/8 = x/56                         Cross multiply

2 * 56 = 8x                        Divide both sides by 8

2 * 56/8 = x

x = 14.

That means of the 56 beads used, 14 of them are red.

6/8 = y / 56                      Cross multiply

6*56 = 8y

336 = 8y                           Divide by 8

336/8 = 8y/8

y = 42

This means that 42 beads were white

 The total is 56. But here's the catch. The highest prime common to both is 7 and that's how many necklaces can be made.

WILL GIVE BRAINLIEST

solve for x : -4 = (2/3)x

show steps please

Answers

Answer:  x = -6

Step-by-step explanation:

To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)

since    -4 = (2/3)x     [mutiply both sides by 3]

⇒    -4 × 3 = 2x     [divide both sides by 2]

⇒   (-12/2) = x      [simplify by dividing -12 by 2]

∴            x = -6

Answer:

X = 6

Step-by-step explanation:

2/3 x 6/1 = 4

2 x 6 = 12

3 x 1 = 3

12/3 = 4

12 divided by 3 is 4

The answer is 6 , x = 6

Simplify the expression. -17+[(8-3)-(-14-19)]=

Answers

Answer:

21

Step-by-step explanation:

trust (used a calculator)


So, if the average family earned $4,000 per month, how much would they send back
out to pay debreach month
What kinds of things could you do with that money?

Answers

hazlo tu misma, perra. buy

6. Cafe A offers 2 free bottled waters or juices for every 20 purchased. What is the ratio of free drinks to purchased drinks? *

Answers

Answer:

1: 10

Step-by-step explanation:

2/2 =2

20/2 = 10

how do you solve a no solution equation

Answers

Answer:

to solve a no solution equasion, you solve it like any other question. 4 example 3 +7 = 10 so 3 + _ = 10 its the same

Step-by-step explanation:

help please, im confused​

Answers

Answer:

same sir sorry can't help you ok bye sorry

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