Mathematics High School

The heights of a large population of ostriches are normally distributed. Which is the closest to the percentage of these heights that is within 3 standard deviations of the mean?

a. 95%
b. 99.7%
c. 0.3%
d. 5%

Answers

Answer 1
It is option B. 99.7 %
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.

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 that 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.

So,

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

Giving brainliest and max rating.

Answers

Answer:

5+-2

Step-by-step explanation:

it


Find the solution of the system of equations.
4x – 5y = 46
-4x – 4y = 8​

Answers

Answer:

(4,-6) or x=4 and y= -6

Step-by-step explanation:

Answer:

x = 4 ; y= -6

Step-by-step explanation:

-9y = 54

y = -6

4x +30 = 46

4x = 16

x = 4

I NEED HELP !!!!!
Isabella opened a savings account and deposited $25,000.00. The account earns 20% interest, compounded annually. If she wants to use the money to buy a new car in 2 years, how much will she be able to spend on the car?

Answers

In 2 years, she will be able to spend $36,000 on a new car.

Answer:

$11,000

Step-by-step explanation:

1st year the account earned 20% from $25,000 = $5,000 | total = $30,000

2nd year the account earned 20% from $30,000 = $6,000

by adding the earnings of 2 years, she will be able to spend $5,000 + $6,000 = $11,000

what is the slope?
please hurry!
y=-x - 3

Answers

Answer:

Step-by-step explanation:

slope =  

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y + 3 = (x - 2) is in this form

with slope m =

Answer:

-x is the slope

Step-by-step explanation:

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Answers

Answer:

Its c have a nice day! <3

Step-by-step explanation:

Simplify (8.3) 2.10.(6-1)​

Answers

Answer:

[tex]8 .3 \times 2.10.5[/tex]

Step-by-step explanation:

Simplify 6 - 1 to 5.

[tex]8.3 \times 2.10 .5[/tex]

Therefor, the answer is 8.3 × 2.10.5

The distance between Franklin City and Williamsville on a map is 3.2 inches. If the scale of the map is 1 inch = 15 miles, how many miles apart are the two cities?

Answers

Answer: 48 miles

Step-by-step explanation:

From the question, the distance between Franklin City and Williamsville on a map is 3.2 inches and the scale of the map is 1 inch = 15 miles.

The distance between the cities will be to multiply 3.2 by 15 to get the number of miles since 1 inch = 15 miles. This will be:

= 3.2 × 15 miles.

= 48 miles

The distance between Franklin City and Williamsville is 48 miles.

Answer:

48 Miles

Step-by-step explanation:

Good Luck

Whats the answer to this question plz

Answers

1. x=13

2. m<OME=128

Step-by-step explanation:

1. 5x=65

x=65÷5

x=13

2. 4x+2x-12=180

6x-12=180

6x=180+12

6x=192

×=32

<OME=4×(32)

<OME=128

Answer:

1) x=13

2)m<OME=128.

Step-by-step explanation:

1) 5x=65

x=65:5

x=13

2) 4x+2x-12=180

6x-12=180

x=32.

Analyze this equation.
3 (x + 2) = 5x + 8
What is the value of x ?

A. -3
B. -1
C. 1
D. 3

Answers

The answer is b. Hope this helped

Answer:

=−1

Step-by-step explanation:

1. Distribute

2.Subtract 6 from both sides of the equation

3.Simplify

4.Subtract 5x from both sides of the equation

5.Simplify

6.Divide both sides of the equation by the same term

7.Simplify

so the answer is =−1

Solve the equation for x.
2(2x - 4) = 3(x + 4)

Answers

Answer:

2(2x-4)=3(x+4)

4x-8=3x+12

4x-3x=12+8

x=20

Gabriel wants to solve the equation 5 eights M equals 25 what steps should he do to get him by itself on one side of the equation

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

Answer: m+40

Step-by-step explanation:

Given the Equation :

(5/8)m = 25

The first step to take with this kind of equation is to multiply both sides by the denominator, 8

5m/8 * 8 = 25 *8

5m = 200

Then, we can divide both sides by 5 in other to isolate m

5m / 5 = 200 / 5

m = 40

which graph represents a function?

Answers

Answer:

D

Step-by-step explanation:

Its going in a direction that might go somewhere so I think D hope this helps

Given the vertex form of a parabola​

Answers

It’s C. You’re welcome

$120 for mowing 4 lawns =$_ per lawn

Answers

all you have to do here is divide how much money she made versus how many lawns they mowed.

120/4= 30

this means they made $30 per lawn

What is the solution to the equation?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt[3]{x+4}+\sqrt[3]{2x +8}=0\\\\\sqrt[3]{x+4}= -\sqrt[3]{2x + 8}\\\\(x +4)^{\frac{1}{3}}=-(2x+8)^{\frac{1}{3}}\\\\[/tex]

Take cube,

[tex][(x+4)^{\frac{1}{3}}]^{3} =- [(2x +8)^{\frac{1}{3}}^{3}]\\\\(x+4)^{3*\frac{1}{3}}=-(2x + 8)^{3*\frac{1}{3}}\\\\[/tex]

x + 4 = - (2x + 8)

x +4 = 2x *(-1) + 8 *(-1)

x+ 4 = -2x - 8

x +2x+4 = - 8

3x + 4 = - 8

      3x = - 8 -4

      3x = -12

        x = -12/3

x = -4

The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 5, 12

A. Acute Triangle


B. Obtuse Triangle


C. Right Triangle

Answers

Answer:

C. Right Triangle

Step-by-step explanation:

Verify with Pythagorean:

13² = 1695² + 12² = 25 + 144 = 169169 = 169

We see the squares are equal, so this is a right triangle.

Correct choice is C

HELP ASAP WILL GIVE BRAINLYIST IF RIGHT AND EXTRA POINTS

List the simple shapes and to which you divided shape c and Measure their signs right all the measurements in inches


Answers

You have no information about the area or perimeter or any numbers in order to figure out their “measurements”? So I’m not sure exactly what you mean. I do know that shape a and b are squares?

The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given line.

M=5

The slope of a line parallel to the given line is m=___.

Answers

Answer:

The slope of a line parallel to the given line = 5

The slope of a line perpendicular to the given line = - 1/5

Step-by-step explanation:

Rick bought a car for $17,500. Each year, the car's value decreases by 20%. At this rate, what can Rick expect the value of his car to be in 6 years? *
$1.12
$15,502.24
$4,587.52
$17,380.00

Answers

Answer:

His car would be worth $15,502.24

Step-by-step explanation:

20% of 17,500 is 350. 350 x 6 = 2,100. 17,500 - 2,100 = 15,400. But that is not an answer choice so be go to  the closest number which is $15,502.24

Factor 60y-90-20x to identify the equivalent expressions. Choose two answers.



5(14-16-4x)



2(30-45-10)



5(12y-18-4x)



10(6y-9-2x)

Answers

C & D
Step-by-step explanation:
One evident common factor between 60, 90, & 20 is 10 because all these numbers end in a 0; Therefore one way to factor the equation 60y - 90 - 20x is;
10 (6y – 9 – 2x)
5 is also a common factor between the numbers 60, 90, & 20
60/5 = 12; 90/5 = 18; 20/5 = 4
Therefore 60y - 90 - 20x is also equal to;
5 (12y – 18 – 4x)

Please help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:A-false B-false C-true D-true E-false

Step-by-step explanation:

if im wrong pls tell me :)

Darrens garden is 4 4/6 feet long. Zanique’s garden is 2 1/3 shorter. Find the length of Zanique’s garden.

Answers

4 - 2 = 2

If you take 3 and add 3, you get 6, and if you take 1 and add 1 you get 2, so 2/6.

4/6 - 2/6 = 0.33333333333

So I'd say about 2.3333333333 is the length of Zanique's garden, in a fraction... um... 233333333333/10000000000

That's all I could come up with. Don't judge me

2/5p-3.11=1.13
what is p

Answers

2p-4+16=5p-9

-3p-4+16=-9

-3p-4=16+-9

And if you can solve from there cuz that's a lot of mental math for me. if u see these:() always distribute whatever is before it.

Did this help?

I need help ASAP Will give brainliest

Answers

35.4 is your answer, i believe

Help asap I have to get my work done soon or I will be up all night.
7mp(m + p + x + 2mp)

Answers

Answer:

=14m^2p^2+7m^2p+7mp^2+7mpx

Solve, using linear combination.
8x + y = 14
3x + y = 4
(2.0)
(2,-2)
(0.2)
(-2.2

Answers

Answer:

(2,-2)

Step-by-step explanation:

Simplify. 1/4+x divided by 1/2

Answers

I think the answer is 1/4 + 2x :)

Answer:

= 1/4+2x

Step-by-step explanation:

i hope this helps :)

19. If 4 + 2(3x - 4) = 8, then 4x -4 =
4
8
6
2

Answers

Answer:

4

Step-by-step explanation:

First, solve for x:

4 + 2(3x - 4) = 8

4 + 6x - 8 = 8

6x = 12

x = 2

Now, plug x into 4x - 4:

4(2) - 4 => 8 - 4 = 4

it's has to be 4 my friend did it and she said she got it right hope this helps

3(4x+6)=-4

What property did you use to solve this problem?

Answers

Answer:

The distributive property

Step-by-step explanation:

You have to distribute the 3 to the parenthesis so it is the distributibe property.

Select the correct answer.
What is the inverse of function f?

Answers

the correct answer is b and a
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