A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?

Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:

b. 56.

The order in which the items are selected is not important, hence the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 items are chosen from a set of 8, hence:

[tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]

Hence option b is correct.

More can be learned about the combination formula at https://brainly.com/question/25821700

Answer:

the multiple levels of bureaucracy reflected the belief in social order

Step-by-step explanation:

Answer:

its A my friend because: 48/2=24. 72/2=36

24/2=12. 36/2=18

12/2=6. 18/2=9

Answer:

its 12p bro...

Step-by-step explanation:

There are 12 cards a pack. Carter bought a unknown amount of packs, so this is represented by p.

Think of it this way.

12p = 12*p

This is because of the distributive property.

Answer:

28%

Step-by-step explanation:

Divide 14 by 50. 50 is the total and 14 is the amount she thought was good so it would be 14/50 and then divide it and you get .28 which is 28%

Answer:

2750=-510

Step-by-step explanation:

hope this helps ._.

Motion graphs! Oh yes, I remember those.

I will be using the example of a remote-control car.

For Section AB:

The car starts moving steadily in one direction.

For Section BC:

The car has stopped moving.

And finally, for section CD:

The car has turned around and returned to the starting point at a steady pace.

I hope this answers your question.

-Toremi

Answer:

D

Hence the expression is 3n-2

Matthew will score less than 27 points in about 0.15% of his basketball games.

=======================================================

Explanation:

mu = 33 = population mean

sigma = 2 = population standard deviation

Let's find the z score when x = 27

z = (x - mu)/sigma

z = (27-33)/2

z = -6/2

z = -3

A score of 27 points is exactly three standard deviation units below the mean of 33 points.

Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.

That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.

One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.

To get a more accurate answer, you can use a Z table to find that

[tex]P(Z < -3) \approx 0.00135 \approx 0.135\%[/tex]

which isn't too far off from the 0.15%

Answer:

I believe is the correct answer

Step-by-step explanation:

a

Answer:

Step-by-step explanation I can answer if you pin in the pic below

Answer:

See below

Step-by-step explanation:

Intersection is the elements that are in both sets :  {3}

Union adds them together  { 0 1 2 3 4 7 8 }

Answer:

B

Step-by-step explanation:

every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.

and Pythagoras is the best way to cancer the length of such a Hypotenuse.

AD² = 2² + 2² = 8

AD = sqrt(8)

AB = AD

BC² = 4² + 2² = 16 + 4 = 20

BC = sqrt(20)

CD = BC

so, the perimeter is

AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =

= 14.60112616... units ≈ 14.6 units

Answer:

17/24 chance for white car

Step-by-step explanation:

We know that there is a 1/6 chance that it will be green and 1/8 that it will be red so whatever's left has to be white. We can just add the fractions that we have and subtract them from one to get the probability of getting a white car.

1/6+1/8=?

Find the lowest common denominator (24)

4/24+3/24=7/24

Subtract it from 1

24/24-7/24=17/24

17/24 chance that it's white

The difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years is $1.32.

Simple interest is when only the amount deposited increases in value.

Simple interest = deposit x interest rate x time

1750 x 0.0275 x 2 = $96.25

Interest earned with compounding = future value - amount deposited.

The formula for calculating future value:

FV = P (1 + r) nm

1750 x (1/0275)^2 = $1847.57

$1847.57 - $1750 = $97.57

Difference in interest; $97.57 - $96.25 = $1.32

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

A) 24;12;0;-12;-24 because the numbers are gradually going down and they go into the negatives which means they repeat the numbers in the beginning.

B)-36;-25;-16;-9;-4 i am uncertian on this one but i think im doing it right.

Answer:

46

Step-by-step explanation:

p=6,q=12.

Put the numbers where the letters are.

7x6+12/3

46

Hope this helps!

Answer:

[tex]beinggreat78~here~to~help~you~learn![/tex]

When doing short equations like this, you want to use P.E.M.D.A.S. That just means you want to use parentheses first, exponents second, multiply third, divide fourth, add fifth, and subtract last. In this case, since there are no parentheses, or subtraction, or exponents, we cross those three out, and make multiplication our top priority. But, what exactly does seven p mean? p is an assigned, substituted number. Sometimes people will use p instead of x as subs, but it really does not matter. So now that we have enough information, let's start.

[tex]7p=7 * number(In~this~case,~6)[/tex]

[tex]7 * 6 = 42[/tex]

The next step is to divide q(12) by three. Before adding, you want to divide, because it is your second-top-priority.

[tex]\frac{q}{3} = \frac{12}{3}~which~is~4[/tex]

Lastly, add the quotient and the product together.

[tex]7p(42) + \frac{q}{3} (4) = 46[/tex]

And we are done! The result is 46, so that means your answer is D! Yay!

What have we learned while doing this problem?

Answer:

0.4 pages per second

24 pages per minute

1 page can be printed every 2.5 seconds

Each answer is technically correct, use the one that's most appropiate

Step-by-step explanation:

32 pages in 80 seconds

32 / 80 = 0.4 pages per second

0.4 / 1

If they want it in minutes, multiply both sides by 60 seconds

0.4 * 60 / 1 * 60

24 pages per minute

The correct answer would be D. 64

The 40 percentage of 160 is 64, the correct option is D.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Total value= 160

Percentage= 40%

Now,

To find 40% of 160,

=40%=0.4

We can multiply 0.4 by 160.

=0.4*160

=64

Therefore, by the given percentage the answer will be 64.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ7

Answer:

positive, leaner association

Step-by-step explanation:

Answer:

7*12= 84

Step-by-step explanation:

Hope this helps.

Looks like the claim is

(2 tan(x) - sin(2x)) / (2 sin²(x)) = tan(x)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

as well as the definition of tangent:

tan(x) = sin(x) / cos(x)

Then on the left side, we can cancel factors of 2 sin(x) to get

(2 sin(x) / cos(x) - 2 sin(x) cos(x)) / (2 sin²(x))

= (1/cos(x) - cos(x)) / sin(x)

Multiply this by cos(x)/cos(x) :

(1/cos(x) - cos(x)) / sin(x) = (1 - cos²(x)) / (sin(x) cos(x))

Recall that for all x,

sin²(x) + cos²(x) = 1

so that

(1 - cos²(x)) / (sin(x) cos(x)) = sin²(x) / (sin(x) cos(x))

= sin(x) / cos(x)

= tan(x)

as required.

Answer:

1/24

Step-by-step explanation:

Probability of making female character = 1/2

Probability of having long hair = 1/3

Probablity of having red hair = 1/4

Multiply all these probabilities ( 1/2 x 1/3 x 1/4) = 1/24

The probability of making a female character with long red hair in this video game is 1 in 24.

I hope this helps.

Answer:

[tex]y=\frac{1}{4}x-5[/tex]

Step-by-step explanation:

Write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5 ​

Slope-intercept form: y = mx + b

m = slope

b = y-intercept (when x = 0)

Ex:

y = 5x + 2

For our problem:

[tex]y=\frac{1}{4}x-5[/tex]

Hope this helps!

Answer: the third one

Step-by-step explanation: how i know by guessing

Answer:

Below

Step-by-step explanation:

Population: 10,000

Sample: 250

Answer:

A’(5 , -3)

B’(1 , 5)

C’(-9 , 1)

Step-by-step explanation:

Let A be the point of coordinates (-4, 3)

Let B be the point of coordinates (-2, -1)

Let C be the point of coordinates (3, 1) 

____

In this case we can form three parallelograms ABA’C, BAB’C , CAC’B

How to find the coordinates of the fourth point A’ of the parallelogram ABA’C

Since we know that the diagonals AA’ and BC of the parallelogram ABA’C intersect in their midpoint then we need to solve these two equations in order to get the coordinates of the point A’ :

[tex]\begin{aligned}\left\{\begin{array}{l}\frac{x_{A}+x_{A^{\prime}}}{2}=\frac{x_{B}+x_{C}}{2} \\\frac{y_{A}+y_{A^{\prime}}}{2}=\frac{y_{B}+y_{C}}{2}\end{array}\right.& \Leftrightarrow\left\{\begin{array}{l}-4+x_{A^{\prime}}=-2+3 \\3+y_{A^{\prime}}=-1+1\end{array}\right.\\\\& \Leftrightarrow\left\{\begin{array}{l}x_{A^{\prime}}=1+4=5 \\y_{A^{\prime}}=0-3=-3\end{array}\right.\\\\& \Leftrightarrow A^{\prime}(5,-3)\end{aligned}[/tex]

________________________

We can follow the same method for the other two parallelograms In order to get the coordinates of the points B’ and C’.

B’(1 , 5)

C’(-9 , 1)

Answer:

O The cost of the hamburger will increase by $1.40 per topping.

Step-by-step explanation:

Answer:

The cost of the hamburger will increase by $1.40 per topping

Step-by-step explanation:

Given equation:

y = 1.90 + 1.40x

where

The slope-intercept form of a linear equation is y = mx + b (where m is the slope and b is the y-intercept).

Rearranging the given equation to this form:  y = 1.40x + 1.90

Therefore, 1.40 is the slope and 1.90 is the y-intercept.

The slope is the rate of change.  This is the amount by which y will change with respect to changes in x.  The slope is positive, so as x increases, y will increase.  

Therefore, the cost of the hamburger will increase by $1.40 per topping.

If X and Y are two sets, then X × Y is the Cartesian product of X and Y, which is the set of all pairs (x, y) such that x ∈ X and y ∈ Y.

This means

A × A = {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3)}