g Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rule to determine the following. ​(a) What percentage of people has an IQ score between 76 and 124​? ​(b) What percentage of people has an IQ score less than 64 or greater than 136​? ​(c) What percentage of people has an IQ score greater than 136​?

Answers

Answer 1

Answer:

a) 95% of people has an IQ score between 76 and 124​.

b) 0.3% of people has an IQ score less than 64 or greater than 136​.

c) 0.15% of people has an IQ score greater than 136

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 100

Standard deviation = 12

​(a) What percentage of people has an IQ score between 76 and 124​? ​

76 = 100 - 2*12

124 = 100 + 2*12

So within 2 standard deviations of the mean, and the percentage is 95%.

(b) What percentage of people has an IQ score less than 64 or greater than 136​?

64 = 100 - 3*12

136 = 100 + 3*12

99.7% of people has scores between 64 and 136. So 100 - 99.7 = 0.3% of people has an IQ score less than 64 or greater than 136​.

​(c) What percentage of people has an IQ score greater than 136​?

0.3% of people has an IQ score less than 64 or greater than 136​.

Since the normal distribution is symmetric, 0.3%/2 = 0.15% are below 64 are 0.15% are above 136.


Related Questions

(4-√2)(4+ √2) how do i solve it¿

Answers

Answer:

Step-by-step explanation:

[tex]4(4)+4\sqrt{2}-4\sqrt{2}-\sqrt{2}\sqrt{2}=16-2=14[/tex]

A truck is carrying passion fruit juice, cherry juice, and mango juice bottles in a ratio 1:2:7. If there are 34 cherry juice bottles, then how many nango juuce bottles are there?​

Answers

Answer:

Step-by-step explanation:

We can solve this using a ratio. If there a 2 bottles of cherry in the ratio and there are 34 actual bottles of cherry, then the ratio is

[tex]\frac{ratio}{actual}:\frac{2}{34}[/tex]

In the ratio, we are told that the mix of bottles is 7 parts mango and we want to know how many actual bottles there are of mango. So filling in:

[tex]\frac{ratio}{actual} =\frac{2}{34} =\frac{7}{m}[/tex] and cross multiply to get

2m = 238 and

m = 119. There are 119 bottles of mango juice. And just for the record, there are 17 bottles of fruit juice.

Answer:

m = 119. There are 119 bottles of mango juice. there are 17 bottles of fruit juice.

How to write and graph at least 10 on a number line​

Answers

Answer:

hope it helps you (:

Step-by-step explanation:

Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?

Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.

Just remember

if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below

if the symbol is (> or <) then you do not fill in the dot like the bottom two examples in the graph below

To better understand how to graph inequalities, look at the examples below or experiment with the grapher that is immediately below.

A person has 30 Rap songs, 25 R&B songs, 30 Alternative songs, 22 Pop songs, 15 Country songs, and 28 Hip Hop songs stored on an MP3 player (a total of 150 songs). If the person set the MP3 player to random shuffle, what are the odds of the first song being played being a Country song?
A) .1
B) .2
C) .3
D) .4

Answers

Answer:

10% or 1/10 chance

Step-by-step explanation:

The chances of playing a country song first try is 15/150 or 1/10. There is a 10% chance of playing a country song on the first try.

Given that f (x) = x help me plz

Answers

Answer:

Step-by-step explanation:

f(x) + g(x) = x^2 - 2x + x + 12

f(x) + g(x) = x^2 - x + 12

(f + g)( -1) = 1 + 1 + 12 = 14

f(x) - g(x) = x^2 - 2x - x - 12

f(x) - g(x) = x^2 - 3x - 12

(f + g)(-1) = (-1)^2 -(3)(-1) -12

(f + g)(-1) = 1 + 3 - 12

(f + g)(-1) = - 8

Select all that apply. Which of the following are true?
Fractions and ratios cannot have zero in the denominator.
Fractions and ratios can be simplified the same way.
Fractions and ratios are different names for the same thing.
Some fractions and ratios can be written as mixed numbers.

Answers

Answer:

b and c

Step-by-step explanation:

The statements that are true are:

Fractions and ratios cannot have zero in the denominator.

Fractions and ratios can be simplified in the same way.

Fractions and ratios are different names for the same thing.

Options A, B, and C are correct.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction is written as:

1/2, 3/4, 5/6

Where 1, 3, and 5 are numerators and 2, 4, and 6 are denominators.

The ratio is written in the form a:b.

1:2 = 1/2

4:8 = 4/8 = 1/2

Fractions and ratios cannot have zero in the denominator.

This is true because if we have zero in the denominator the fraction becomes undefined.

Example:

1/0 = ∞

The ratio can not have zero in the denominator because we are comparing two units where neither one unit can be zero.

Fractions and ratios can be simplified in the same way.

This is true.

Example:

Fraction = 2/4 = 1/2

Ratio = 2:4 = 2/4 = 1/2

Fractions and ratios are different names for the same thing.

This is true.

Because ratio can be written as a fraction.

Example: 2:3 = 2/3

Some fractions and ratios can be written as mixed numbers.

This is not true

Fractions can be written as a mixed numbers.

Example:

5/2 = [tex]2\frac{1}{2}[/tex]

Ratios can never be written as a mixed number.

Thus,

The statements that are true are:

Fractions and ratios cannot have zero in the denominator.

Fractions and ratios can be simplified in the same way.

Fractions and ratios are different names for the same thing.

Options A, B, and C are correct.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ2

Probability of rolling a 2 or an odd number

Answers

Answer:

When rolling di.e #2, since we must roll a different odd number, the probability of doing so is 2/6 = 1/3. Thus, the probability is 1/2 x 1/3 = 1/6.

Let ‘E’ be the event of rolling an odd number
Probability (E)= Number of favourable outcome/Total number of outcomes
=4/6
=2/3

2 1/4x + (4 1/3x − 7 4/5 ) ÷ 2 3/5

Answers

Answer:

1/4*(9x+130x-234/35

Step-by-step explanation:

get photomath

1/2+p=-3


Pleaseee help

Answers

Answer:

The answer is p= -7/2

Step-by-step explanation:

Move all terms not containing  p  to the right side of the equation.

Hoped this helped!

brainly, please?

The blood platelet counts of a group of women have a​ bell-shaped distribution with a mean of 246.8 and a standard deviation of 67.2. ​(All units are 1000 ​cells/μ​L.) Using the empirical​ rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the​ mean, or between 179.6 and 314.0​? b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4​?

Answers

Answer:

a. 68%

b. 99.7%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 246.8

Standard deviation = 67.2

a. What is the approximate percentage of women with platelet counts within 1 standard deviation of the​ mean, or between 179.6 and 314.0​?

By the Empirical Rule, approximately 68%.

b. What is the approximate percentage of women with platelet counts between 45.2 and 448.4​?

45.2 = 246.8 - 3*67.2

448.4 = 246.8 + 3*67.2

Within 3 standard deviations of the mean, so approximately 99.7%.

Ava runs at a constant speed of 3.4 meters per second for 1/2 hour. Then, she walks at a rate of 1.5 meters per second for 1/2 hours. How far did Ava run and walk in 60 minutes?

Answers

Ava ran and walked 8,820m in 60 minutes.

find the equation of the line with the coordinates of (-5,-2) and (5,3)​

Answers

Answer

x - 2y = -1.

Step-by-step explanation:

Slope = (3 - (-2)) / (5 - (-5))

= 5/10

= 1/2

Using the point-slope form of a straight line equation:

y - y1 = m(x - x1)

Here m = 1/2 and (x1, y1) = (5, 3):

y - 3 = 1/2(x - 5)

y - 3 = 1/2x - 5/2

y = 1/2x  - 5/2 + 6/2

y = 1/2x +  1/2

Removing the fractions:

2y = x  + 1

in standard form this is

x - 2y = -1

What is the values of 4 in 4,201 and 65,143

Answers

Answer:

4,000 and 40

Step-by-step explanation:

Answer:

4,201, 4 would be in the thousands place and the 4 in 65,143 would be in the tens place. So it would be 4,000 and 40.

simplify (-4/5)^9/(-4/5)^10​

Answers

Answer:

- 5/4

Step-by-step explanation:

exact form:-5/4

decimal form:-1.25

mixed number form: -1 1/4

Help me please!!!!!!!

Answers

Answer:

I am not sure on the first one but this is what I think:

False

False

True

Step-by-step explanation:

Sorry if it's wrong!!

Jacob and Adam are selling pies for a school fundraiser. Customers can buy cherry pies and blackberry pies. Jacob sold 1 cherry pie and 1 blackberry pie for a total of $35. Adam sold 12 cherry pies and 9 blackberry pies for a total of $360. Find the cost each of one cherry pie and one blackberry pie. Write as an ordered pair. Ex: (cherry pie, blackberry pie)

Answers

Answer:

Step-by-step explanation:

c and b are the number of cherry and blackberry sold.

1c + 1b = 35

b = 35-c

12c +  9b = 360

12c + 9(35-c) = 360

3c = 45

c = 15

b = 35-c = 20

$15 for one cherry pie, $20 for one blackberry pie.

An ______________ is an equation that is true for all values of the variable and has infinitely many solutions.

Answers

Maybe it’s in ur vocab math pages it’s there for me

Gold has a density of 19.3 g/mL. What is the mass of a 7.5 mL sample of gold?

Answers

Answer:

144.75 g

Step-by-step explanation:

19.3x7.5 = 144.75

help me do this please!!!

Answers

Answer:

Step-by-step explanation:

ok soo....

the area of the one like higher up would be 42

and then the area of the one like landscape would be 48

and then the area of like the box they make in the middle is 30

so ya i hope this helped

HELP PLEASE PLEASE PLEASE !!!!

Answers

Answer:

the answer is 2616

hope this helped

Step-by-step explanation:

Write an equation for
A number minus 11 is 12.

Answers

Answer:

x-11=12

x=23

Step-by-step explanation:

Answer:

x-11=12

Step-by-step explanation:

also: 12=11+x

Please only correct answer. don’t answer if you don’t know the answer, I don’t need to know that you don’t know

Answers

Answer:

f(x) = -0.5x - 2;

At x = 0, f(x) = -2

At x = 1, f(x) = -2.5

At x = 2, f(x) = -3

At x = 3, f(x) = -3.5

At x = 4, f(x) = -4

g(x) = (2^(x - 1)) - 5;

At x = 0, g(x) = -4.5

At x = 1, g(x) = -4

At x = 2, g(x) = -3

At x = 3, g(x) = -1

At x = 4, g(x) = 3

Step-by-step explanation:

First equation;

f(x) = -0.5x - 2

f(0) = -0.5(0) - 2 = -2

f(1) = -0.5(1) - 2 = -2.5

f(2) = -0.5(2) - 2 = -3

f(3) = -0.5(3) - 2 = -3.5

f(4) = -0.5(4) - 2 = -4

For the second equation;

g(x) = (2^(x - 1)) - 5

g(0) = (2^(0 - 1)) - 5 = 2^(-1) - 5 = -4.5

g(1) = (2^(1 - 1)) - 5 = 2^(0) - 5 = -4

g(2) = (2^(2 - 1)) - 5 = 2 - 5 = -3

g(3) = (2^(3 - 1)) - 5 = 4 - 5 = -1

g(4) = (2^(4 - 1)) - 5 = 3

need some help please

Answers

Answer:

A

Step-by-step explanation:

y= 6x

Plug and chug the function.

Laura received a $80 gift card for a coffee store. She used it in buying some coffee that cost $7.96 per pound. After buying the coffee, she had $56.13
left on her card. How many pounds of coffee did she buy?

Answers

Answer:

Step-by-step explanation:

Hi.

I can help.

First what we want to do is take what she had before spending any money and then take what she had after.

So :

$80.00

and

$56.13

Now to find how much she spent we can subtract these two numbers like so :

80.00 - 56.13

=

23.87

So now we know she spent a total of $23.87 on coffee in pounds.

Now if each pound of coffee costs $7.96 we can divide this into how much she spent $23.87 to find the total amount of pounds she bought for $7.96.

So:

23.87 / 7.96

=

About 3

She bought 3 pounds of coffee.

Hope this helps,

Have a great weekend

(-2,-19) and (-12,11) whats the slope

Answers

Answer: -3

Step-by-step explanation:

To find the slope, you can use the formula (y2-y1)/(x2-x1)

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

Given

x1=-2

y1=-19

x2=-12

y2=11

Substitute values into the formula

 (y2-y1)/(x2-x1)

=[(11)-(-19)]/[(-12)-(-2)]

=(11+19)/(-12+2)

=30/-10

=-3

Hope this helps!! :)

Please let me know if you have any questions

Help me pls I’ll give brainliest

Answers

Answer:

is there another number, if so what is it?

Answer:

25%

Step-by-step explanation:

A company makes 150 bags.
43 of the bags have buttons but no zips.
38 of the bags have zips but no buttons.
34 of the bags have neither zips nor buttons.
How many bags have buttons on them?

Answers

Answer:

Should be 43

Step-by-step explanation:

There are only 43 bags that actually have buttons from the 3 numbers given.

43 is the correct answer

Math To Do, i-Ready + Liready.com/student/dashboard/home iReady Understand Fractions as Division - Instruction - Level E Finn, Rita, and Marcus have 2 blueberry granola bars to share equally. Finn Rita Marcus​

Answers

Answer:

21

Step-by-step explanation:

21

pre-algebra question help

Answers

Step-by-step explanation:

step 1. 15n + 75v = 330, n - v = 2.

step 2. This is a system. solve the system.

step 3. multiply the 2nd equation by 15 and subtract from the 1st equation.

step 4. 90v = 300. v = 10/3

step 5. n - 10/3 = 2. n = 16/3.

step 6. new = 10/3, vintage = 16/3.

step 7. either they sell games in thirds or the question has a mistake.

Which expression is equivalent to 3 to the power of 3 x 6 to the power of 3 x 2 to the power of three

Answers

Answer:

Step-by-step explanation:

3³×6³×2³ = 3³×2³×6³ = (3×2)³×6³ = 6³×6³ = 6⁶

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