A set of data with 1200 numbers is normally distributed with a mean of 27 and a standard deviation of 4. How many numbers in the data would you expect to be between 23 and 31?
What numbers would be between 19 and 35 as well?
Help!

Answers

Answer 1

Step-by-step explanation:

The mean is 27 and the standard deviation is 4.

23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean.  According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.

68% of 1200 is 816.

19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean.  According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.

95% of 1200 is 1140.


Related Questions

Simplify when it is possible. 10x² -y + x² =

Answers

Answer:

11x² - y

Step-by-step explanation:

Step 1: Write out expression

10x² - y + x²

Step 2: Combine like terms

11x² - y

That is simplest form.

Answer:

[tex]\huge \boxed{11x^2-y}[/tex]

Step-by-step explanation:

[tex]10x^2 -y + x^2[/tex]

Grouping like terms.

[tex](10x^2 + x^2)-y[/tex]

Combining like terms.

[tex](11x^2)-y[/tex]

combine the like terms to simplify the expression 3x-4+2x+8

Answers

Answer:

x +4

Step-by-step explanation:

3x-4+2x+8

Combine like terms

3x+2x  -4+8

x +4

Answer:

5x + 4

Step-by-step explanation:

3x - 4 +2x * 8

Combine 3x and 2x

5x - 4 +8

Combine -4 and 8

5x + 4

solve the equation for k-2/4 = 10 Help solve this question please.

Answers

Answer:

I think K = 10.5

Step-by-step explanation:

First you would do the division of 2/4 which equals 0.5. Now the equation is k-0.5 = 10. If you flip the equation around it is 10 + 0.5 = k. Now you would know that k = 10.5 to check it does 10.5 - 0.5 = 10? Yes.

Solve inequalities and I'll do the graphing​

Answers

15. x>7                   Some of them are unslovable

16. n≥−5

17. G>5

18. k≤1

19.−2<b≤6

20. −8<m<−3

21. unslovable

22. −9<x<4

23. unslovable

24. m<−9 or m>9

Answer:

work is shown and pictured

Help Me Please Someone Who Understands Is For Tomorrow Fill The Table With The Coefficients Of Each Equation Equation

A B C

X^2 - 6x + 8 = 0

X^2 - 10x - 25 = 0

X^2 - 7x = 0

X^2 - 3 = 0

2x^2 + 9 = 0

- 3 x^2 + 5 = 0

Answers

Answer:

Step-by-step explanation:

Idkkkkkkk

14. Given that ML.= 12 feet, how wide is the
garage?
A 12 ft
C 25 ft
B 24 ft
D 26 ft

Answers

The answer is 24. I believe.

The vertex of angle ABC is ___ A, B, or C

Answers

Answer:

B

Step-by-step explanation:

The vertex is always in the middle.

"Three times the sum of a number and 10 is 24

Answers

It is 72 because 24 * 3 = 72. The Number is 14

Remove all perfect squares from inside the square root. Assume bbb is positive. \sqrt{80b^2}= 80b 2 ​

Answers

Answer:

Step-by-step explanation:

sqrt(80b^2) can be also written as sqrt(16(5)b^2).

The property sqrt(x*y) = sqrt(x) * sqrt(y) allows us to factor out square root of 16. Thus,

sqrt(16) * sqrt(5) * sqrt (b^2)

4*sqrt(5)*sqrt(b^2)

Sqrt(b^2) is the same as b^2/2, so Sqrt(b^2)= b

final answer 4b * sqrt(5)

Answer

THE GUY IS RIGHT DO WHAT HE SAYS!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

what is the value of the expression 7-3

Answers

Answer:

7-3 = 4

Step-by-step explanation:

What is the value of the expression 7-3?? 7-3=4

A 10 ounce box of cheerios cost $2.80 ounce box of cheerios cost $5.20. which is cheaper by the ounce.​

Answers

Answer:   20 ounces box of cheerios is cheaper.

Step-by-step explanation:

If 10 ounce box of cheerios cost $2.80  and 20 ounce cost $5.20  then to find which is cheaper, you need to find the unit price which is the cost of an ounce.

Divide the money by the amount of ounces.

2.80 / 10 =   0.28   which is 28 cents per ounce.

5.20/20 =  0.26  which is 26 cents per ounce.

So the 20 box of cheerios is cheaper because it is 2 cents less.

Find the arc length of the semicircle. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

[tex]3.14r[/tex] or [tex]\pi r[/tex]

Step-by-step explanation:

Given:

A semicircle.

To find:

Arc length of the semicircle = ?

Solution:

Formula for angle subtended by an arc on the center of circle is given as:

[tex]\theta = \dfrac{l}{r}[/tex]

where [tex]l[/tex] is the arc length and

[tex]r[/tex] is the radius of semicircle.

Angle of full circle is [tex]2\pi[/tex]

So, angle of semicircle = [tex]\pi[/tex]

Using the formula, we can see that:

[tex]l = \theta \times r[/tex]

[tex]\Rightarrow l = \pi \times r\\\\OR\\\Rightarrow l = 3.14r[/tex]

So, the answer is:

Arc Length of semicircle = [tex]3.14r[/tex] or [tex]\pi r[/tex]

Answer:

The answer is 15.7

Step-by-step explanation:

The tutor got it wrong this is the right one on khan academy

Divide. If the polynomial does not divide evenly, include the remainder as a fraction.
(-3a - 11) = (a + 2)

Answers

Answer:a=-13

—-

4

Step-by-step explanation:

2. The sum of two times a
number squared and four

Answers

Answer:

2·x²+4

Step-by-step explanation:

The sum is an answer to an addition problem and 2 times a number means to multiply by 2.  That number is squared so you it's to the second power.

Answer:

2•n^2+4=sum

Step-by-step explanation:

If two times a

number squared and four = sum,

then 2 • n^2 + 4 = sum

5. Given y = -1/2x + 10, determine if -2x +2y = 20 is parallel, perpendicular, or neither.

Answers

Answer:

Neither

Step-by-step explanation:

-2x+2y=20

First, you need to transfer the [-2x+2y=20] equation to slope intercept form. First, get the y variable on one side by subtracting -2x from the left side.

So then you have

2y= 2x+20

Then you divide the 2 from the y on BOTH side

y= x+10

Now compare the slope of both equations

y= -1/2x+10 (slope= -1/2)

y=x+10 (slope= 1)

Since the parallel slope to -1/2 is the same slope

Since the perpendicular slope to -1/2 is equal to 2/1 or 2,

Neither of them work

neither of them work

write out five proper fraction and change them to decimal fractions​

Answers

Answer:

proper fractions:

4/10=0.4(decimal form)

5/100=0.05(decimal form)

1000/10000=0.1(decimal form)

2/4=0.5(decimal form)

11/55=0.2(decimal form)

Step-by-step explanation:

Q: Is there a relationship between the sum of each pair of integers and the distance between them? If so, explain.
A: No
I don't know if this is right but I just put this because no one answered this question. Hope this helps someone! :)

Answers

Answer:

No, there is no relationship

Step-by-step explanation:

Since there are no pairs of integers, I will give a general answer.

The distance between any two numbers is the absolute value of their difference.

For example we need a distance between numbers of x and y, then we just subtract them in any order and take absolute value of it:

d= | x - y |

or

d = | y - x |

There is no relationship between the sum of the numbers.

It would make sense only in case one of the numbers is zero. Then the sum or difference would be same.

What is a sum of 24 and a quotient of 3

Answers

Answer:

32

Step-by-step explanation:

Assuming this interpretation is correct:

24 and a quotient of 3 will lead to 8

And the sum of 24 and 8 is 32.

Cheers.

There are many answers to this question.

For example:12+2=24 and 12/4=3.

PLS HELP ME QUICK BRAINLIEST +15 POINTS!!!!!

Answers

Answer:

3/4

Step-by-step explanation:

The mean of a data set is synonymous with the average. To find the mean, add up all the values in the data set and then divide by the number of elements.

From the table, there is 12 values. Thus, add up all the 12 values and then divide by 12:

[tex]\bar x=\frac{(-3)+4+8+(-1)+(-4)+(-2)+0+2+5+2+(-3)+1}{12}[/tex]

Simplify:

[tex]\bar x=\frac{9}{12}[/tex]

Reduce:

[tex]\bar x=3/4[/tex]

Therefore, the mean of the data set is 3/4.

For the data set, this means that the average person guesses the temperature too high by about 3/4°F.

(Note: the symbol of x with a bar over it denotes the mean of a set)

Last month Bill spent $6,000. How much did bill spend on taxes last month? (1) The total amount Bill spent on taxes was 70% of the amount he spent on groceries. (2) 40% of the total amount Bill spent last month was spent on taxes and groceries.

Answers

Answer:

Bill spent $988 on taxes.

Step-by-step explanation:

First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:

$6,000*0.4=$2,400

Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.

Let's consider that:

x=taxes

y=groceries

With the information we can write the following:

x+y=2,400 (1)

x=0.7y (2)

You can replace 2 in 1:

0.7y+y=2,400

1.7y=2,400

y=2,400/1.7

y=1,412

Then, you can replace the value of y in 2:

x=0.7(1,412)

x=$988

According to this, Bill spent $988 on taxes.

Write the Name
of each decimal place
as indicated
49) 71, 999

how do i name each decimal
place

Answers

Answer:

9-ones

90-tens

900-hundreds

1000-thousands

70000-tens of thousands

Step-by-step explanation:

Decimal places means the place the number is representing.

Decimal places are in ones, tens, hundreds, thousands, tens of thousands, hundreds of thousands, millions, etc

You first begin with the last number and the last number is in ones,then you move to the second number from the last which is in tens then it follows in that sequence.

PLEASE HELP!!
1y+14=-4y+9 for y. Round your answer to the nearest tenth.​

Answers

Answer:

y = -1.0

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 4y and subtract 14 from both sides:

1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)

1y + 4y = 9 - 14

Combine like terms:

5y = -5

Isolate the variable, y. Divide 5 from both sides:

(5y)/5 = (-5)/5

y = -5/5

y = -1

y = -1 is your answer.

~

PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST

Last year, Gena's food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how
much Gena's business is currently in debt? Check all that apply.
225(3)
(3)(-225)
0-225 + 3
03-225
-225(3)

Answers

Answer:

Hey there!

The correct options are 3(-255) and -255(3)

A positive number times a negative number equals a negative number. We know that she has debt, which means she owes money. Thus, the money has to be negative.

Let  me know if this helps :)

Answer:

225(3)

Step-by-step explanation:

-7x+y 3+7x^3 +6x−3y^3−2x^3 +3x

Answers

[tex]\circ\sf\:-7x+y^3+7x^3+6x-3y^3-2x^3+3x[/tex]

[tex]\circ\sf\:(-7x+6x+3x)+(y^3-3y^3)+(7x^3-2x^3)[/tex]

[tex]\circ\sf\:(-7x+9x)+(-2y^3)+(5x^3)[/tex]

[tex]\circ\sf\:2x-2y^3+5x^3[/tex]

[tex]\circ\:\underline{\boxed{\bf{\blue{x(2-5x^2)-2y^3}}}}[/tex]

Which statement describes function composition with respect to the commutative property?
O Given f(x) = x2 - 4 and g(x) = x-3, (fºg)(2) = -3 and (gºf)(2) = -3, so function composition is commutative.
O Given f(x) = 2x-5 and g(x) = 0.5x - 2.5, (fºg)(x) = x and (gof)(x) = x, so function composition is commutative
Given f(x) = x? and g(x)=xx. (fºg)(0) = 0 and (gºf)(0) = 0, so function composition is not commutative.
O Given f(x) = 4x and g(x) = x? (fog)(x) = 4x2 and (gºf)(x) = 16x?, so function composition is not commutative

Answers

Answer:

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Step-by-step explanation:

Option D is correct, given f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative.

What is a function?

A relation is a function if it has only One y-value for each x-value.

Function composition is not commutative in general, meaning that (fog)(x) is not equal to (gof)(x) for all functions f and g.

Let f(x) = 4x and g(x) = x², for which function composition is not commutative.

If we compose f and g, we get:

(fog)(x) = f(g(x)) = f(x²) = 4x²

If we compose g and f, we get:

(gof)(x) = g(f(x)) = g(4x) = (4x)² = 16x²

Since (fog)(x) is not equal to (gof)(x) for all x, we can conclude that function composition is not commutative in this case.

Hence,  f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative, option D is correct.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Factor X^4+3x^2y+9y^2

Answers

Its not factorable

(make sure you typed it up right)

Plz help me on 1-5 I’m so confused !!

Answers

Hey! I can't help you but I know who can!

Okay!  Ask her she is good and mean to me at the same time! (She deleted my answers that helped ppl) But her is her account go follow and Inbox her on Brainly ok?

Her Username is:

Gabriella8671

ASK HER FOR HELP PLEASE!

(Can you mark me the brainiest if this helps?)

Answer in the comments please

Find the measure of the arc.
A
146°
E
mBC =[ ? ]

Answers

Answer:

124

Step-by-step explanation:

we are given 146 right away.

That little square means a 90 degree angle

146 + 90 = 236

360 - 236 = 124

(360 degrees is the sum of a complete circle.)

The measure of the arc (ABC) is 270 degree.

What is an angle?

In plane geometry, an angle is a shape made up of two rays or lines with the same terminal.

Angle can be used to measure any angular rotational motion since it cannot be measured in terms of length parameters like metres or inches. Instead, it is measured as an angle in terms of degrees or radians.

As we know that the angle of complete rotation is 360°.

So, ∠ADC + ∠ABC = 360

We know ∠ADC = 90°

Then, ∠ABC = 360° - 90°

∠ABC = 270°

Learn more about Angle here:

brainly.com/question/13954458

#SPJ7

-4x-y=24 can you guys please help me pretty please!?

Answers

Answer:

x=-y/4 +6

Step-by-step explanation:

First, y to each side.

-4x=y+24

Second, leave the x by itself by dividing both sides by - 4.

x=-y/4 +6

WILL GIVE BRAINLIEST!!! which scatter plot illustrates a positive linear relationship?

Answers

Answer:

Hey there!

Scatter plot D illustrates a positive linear relationship.

Let me know if this helps :)

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