A store manager wishes to investigate whether there is a relationship between the type of promotion offered and the number of customers who spend more than $30 on a purchase. Data will be gathered and placed into the two-way table below. Customer Spending by Promotion Run Customers Spending More than $30 Customers Spending $30 or Less $10 off $50 15% off $5 off $25 Buy-1-Get-1 Half Off Which statement best describes how the manager can check if there is an association between the two variables? The manager must check relative frequencies by row because there are more than two different promotions. The manager must check relative frequencies by column because there are more than two different promotions. The manager cannot use relative frequencies to look for an association because there are more than two different promotions. The manager should check both relative frequencies by row and by column to look for an association.

Answer:

1 7 21 35 35 21 7 1

Step-by-step explanation:

Pascal triangle is a mathematical expression that can be used to expand questions involving bracket, especially of high degree/ power. Example: [tex](a + b)^{9}[/tex] etc

For the given question, the Pascal triangle for the expansion is: 1 7 21 35 35 21 7 1

So that,

[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 1.[tex](2x^{3}) ^{7}[/tex] + 7.[tex](2x^{3}) ^{6}[/tex].[tex]3y^{2}[/tex]  + 21. [tex](2x^{3}) ^{5}[/tex].[tex](3y^{2}) ^{2}[/tex] + 35.[tex](2x^{3}) ^{4}[/tex].[tex](3y^{2}) ^{3}[/tex] + 35. [tex](2x^{3}) ^{3}[/tex].[tex](3y^{2}) ^{4}[/tex] + 21. [tex](2x^{3}) ^{2}[/tex].[tex](3y^{2})^{5}[/tex] + 7.[tex](2x^{3} )^{1}[/tex].[tex](3y^{2} )^{6}[/tex] + 1.[tex](3y^{2}) ^{7}[/tex]

   = 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] +  6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]

Therefore;

[tex](2x^{3}+3y^{2}) ^{7}[/tex] = 128[tex]x^{21}[/tex] + 1344[tex]x^{18}[/tex][tex]y^{2}[/tex] +  6048[tex]x^{15}[/tex][tex]y^{4}[/tex] + 15120[tex]x^{12}[/tex][tex]y^{6}[/tex] + 22680[tex]x^{9}[/tex][tex]y^{8}[/tex] + 20412[tex]x^{6}[/tex][tex]y^{10}[/tex] + 10206[tex]x^{3}[/tex][tex]y^{12}[/tex] + 2187[tex]y^{14}[/tex]

Answer:

1, 8, 28, 56, 70, 56, 28, 8, 1

Step-by-step explanation:

Answer:

x=8

y=4

Step-by-step explanation:

Answer:

Your point would be: (0,2)

x = 0

y = 2

Step-by-step explanation:

This would be the case if you're looking for the point by solving with substitution, or any other methods, of the systems of equations.

In any case, you are looking to find either x or y first.

I will demonstrate with the 'y' value, since it is easier when cancelling out the 'x' value.

2x - y = -2

2x + 4y = 8

(I want to make one of the two equations negative, so that I can eliminate or cancel out the 'x' value(s)).

- (2x - y = -2) --> -2x + y = 2

                          2x +4y = 8

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

                                5y = 10

                                ---     ---

                                 5      5

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

                                 y = 2

(Reason for putting a negative in front of the equation '2x - y = -2' was made in order to eliminate the value(s) '2x' in both equation, and in order to do that, one equation must be negative, while the other is positive, for example:

x + 2y = 6

x + 3y = 5

(You can make any of these equations negative, but only one equation is needed to be negative for the value you want to cancel out,

DO NOT TRY AND CANCEL OUT BOTH X AND Y)

-(x + 2y = 6)

Turn into:

-x - 2y = -6

x + 3y = 5

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

y = -1

(Back to the Original Problem)

We now need to find the 'x' value(s):

4(2x - y = -2)

8x - 4y = -8

2x + 4y = 8

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

10x = 0

---     ---

10     10

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

x = 0

Your final answer will be:

(0,2)

Answer: 0.39 ; 0.993

Step-by-step explanation:

Given that:

Mean of exponential distribution = 6

Using poisson :

P(X =x)Probability of failure in next 3 years :

Number of occurrences λ = 1 / 6 = 0.1667

P(X < 3) = 1 - e^-λx

P(X < 3) = 1 - e^-0.1667*3

P(X < 3) = (1 - e^-0.5)

P(X < 3) = 1 - 0.60653

P(X < 3) = 0.39346

= 0.393

B.)

Number of pc owned = 10 ; n = 10

P(atleast 1 fails) :

P(X ≥ 3)^n = 1 - [1 - P(X < 3)] ^n

P(X ≥ 3)^n = 1 - (1 - 0.393)^10

P(X ≥ 3)^n = 1 - 0.607^10

= 1 - 0.00679

= 0.993

This question is based on the probability. Therefore, the probability that the CPU fails in the next three years is 0.393  and  the probability that at least one fails within the next three years is 0.993.

Given:

The CPU of a personal computer has a lifetime that is exponentially distributed with a mean lifetime of six years. You have owned this CPU for three years.

(a) We need to determined the probability that the CPU fails in the next three year.

It is given that, mean of exponential distribution = 6

By using Poisson distribution:

P(X =x) Probability of failure in next 3 years :

[tex]Number\, of \,occurrences\, \lambda = \dfrac{1}{6} = 0.1667[/tex]

[tex]P(X < 3) = 1 - e^{-\lambda x}\\P(X < 3) = 1 - e^{-0.1667\times 3}\\P(X < 3) = (1 - e^{-0.5})\\P(X < 3) = 1 - 0.60653\\P(X < 3) = 0.39346= 0.393[/tex]

(b) We need to determined the probability that at least one fails within the next three years.

Number of pc owned = 10 ; n = 10

P(at least 1 fails) :

[tex]P(X \geq 3)^n = 1 - [1 - P(X < 3)] ^n\\P(X \geq 3)^n = 1 - (1 - 0.393)^{10}\\P(X \geq 3)^n = (1 - 0.607)^{10} = = 1 - 0.00679 = 0.993[/tex]

Therefore, the probability that the CPU fails in the next three years is 0.393  and  the probability that at least one fails within the next three years is 0.993.

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Answer:

its ADC and ADB

Step-by-step explanation:

they both have the triangle at the top so they are similar, they just arnt the same size

Answer: 5x-15=10

5x=25

x=5

Step-by-step explanation: i showed the steps above. i hope you can understand it and this helps :) *the very first step is to distribute the 5 to everything in the parentheses

Answer:

x=5

Step-by-step explanation:

5.(x-3)=10

5x-15=10

   +15    +15

5x=25

Divide both sides by 5

x=5

Answer:

Option "c"

Step-by-step explanation:

All of the times

1. Warsaw Pact:  May 14, 1955

2. Berlin Wall: August 13, 1961

3. German reunification: 1990

4. Marshall Plan: April 3, 1948,

5. Soviet Union breaks up: December 26, 1991

oldest to most recent:

1948, 1955, 1961, 1990, 1991

Answer:

It is both -2 and 4

Step-by-step explanation: hope it helped!

Answer:

Kite and parallelogram

Step-by-step explanation:

The solution is where it is crossing. Whenever blue cross red, the shape there is correct. So the kite and the parallelogram.

Hope this helps plz mark brainliest :D

Answer:

Please check the explanation.

Step-by-step explanation:

Given the table 1

x              y

-12           2

-10           10

0              -2

5              -6

8               -11

15              -15

From the table, it is clear that for each input there exists a unique output.

i.e.

According to the given table,

y = 2 at x=-12

y = 10 at x=-1 0

y = -1 at x=0

y = -11 at x=8

y = -15 at x=15

From the table, it is clear that for each input x, it has a unique output y.

Hence, table 1 is a function.

Given the table 2

x              y

9            -18

-20           0

-6              1

-17              16

9                17

11              19

This table does not produce a function, because the input x=9 produces two outputs.

i.e.

at x = 9, the y = -18

at x = 9, the y = 17

Therefore, the table 2 does not represent a function.

Answer:

9/16 or 0.5625

Step-by-step explanation:

Answer:

9/16

Step-By-Step:

2 1/4 = 9/4

Just multiply the denominator by 4

9/4 x 4 = 9/16

Answer:

B 7/30

Step-by-step explanation:

P (Purple) = 70 / 300 = 7/ 30

Answer:

B

Step-by-step explanation:

Purple-70/300=7/30

Answer:

15x-5y=1

Step-by-step explanation:

y-3x=-1/5

multiply each side by 5

5y-15x=-1

15x-5y=1

Answer:

C

Step-by-step explanation:

44/70 which is about 0.063 Hope this helps :D Please mark brainliest

Answer:

Step-by-step explanation:

Answer:

first differences,4,4,4,constant

Step-by-step explanation:

did on edge

Answer:

4

4

4

constant

Step-by-step explanation:

Answer:

i believe it is y= 2/3x + 4

Answer:

y= 2/3x+4

Step-by-step explanation:

I did it on desmos.

Also, it is 4 because the line hits four and the slope is

2/3

Answer:

I guess it's -2

Step-by-step explanation:

6-8x = 5x - 10x + 12

∴ 10x - 8x - 5x = 12 - 6

∴ 10x- 13x = 6

∴ - 3x = 6

∴ x = -6\3

∴ x = -2

Answer:

-2

Step-by-step explanation:

6-8x=5x-10x+12

5x-10x=-5x

=6-8x=-5x+12         MOVE -5x TO THE LEFT SIDE AND 6 TO THE RIGHT SIDE

= -8x+5x=12-6

= -3x=6

= -x=2

= x=-2

Answer:

X is the side on the bottom, Y is on the left, and Z is the hypotenuse

Answer:

below vv

Step-by-step explanation:

You will have to draw 3 triangles, one for each question. Then, mark the longest side (the hypotenuse) the letters:

in 1. u

in 2. p

in 3. z

then mark the shorter sides

in 1. s and t

in 2. m and n

in 3. x and y.

Answer:

y=29

Step-by-step explanation:

Answer:

y=29

Step-by-step explanation:

We move all terms to the left:

58/y-(2)=0

The domain of the equation: y!=0

y∈R

We multiply all the terms by the denominator

-2*y+58=0

We add all the numbers together, and all the variables

-2y+58=0

We move all terms containing y to the left, all other terms to the right

-2y=-58

y=-58/-2

y=29

Part A

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

Work Shown:

The universal set here is U = {2,3,4,5,6,7,8,9} so we're listing all the integers between 2 and 9. We don't include 1 or 10 since n is larger than 1, and smaller than 10.

P = even numbers less than 7, subset of U

P = {2,4,6,8}

P ' = {3,5,7,9}

Note how the set P' is the set of everything in U that is not in set P. It's the opposite of set P. We call this the complement of set P.

Q = prime numbers less than 10, subset of U

Q = {2,3,5,7}

Q ' = {4,6,8,9}

Applying the union set operation on the sets P' and Q' leads to

P' u Q' = {3,5,7,9,     4,6,8,9}

All I did was combine the two sets of numbers under one umbrella. From here we toss out the duplicate entry of 9. This next step is optional, but sorting the values is standard convention.

Doing all this leads to

P' u Q' = {3,4,5,6,7,8,9}

This set represents all the values that are in set P' or in set Q' or both.

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

Part B

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

Work Shown:

Now we're looking at the intersection of sets P' and Q'

List out those sets

P ' = {3,5,7,9}

Q ' = {4,6,8,9}

We see that only the value 9 is in common

Therefore,

P' n Q' = {9}

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

Part C

Answer:

(P' n Q')' = {2,3,4,5,6,7,8}

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

Work Shown:

You start with the result from part B. Then you erase that item (9) from the universal set. Everything in this answer set is not found in the set {9}

Put another way: we're finding the complement or opposite of P' n Q'

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

Part D

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

Work Shown:

P = {2,4,6,8}

Q = {2,3,5,7}

P u Q = {2,3,4,5,6,7,8}

Everything in set P u Q is either found in P, Q, or both. Any duplicates are tossed out.

Take the opposite of this to get

(P u Q)' = {9}

It is not a coincidence we get the same result as part B. It turns out that the two equations are true for any two sets P and Q

For more information, check out De Morgan's Laws. Use of a Venn Diagram may help visualize what is going on, so you can organize the values.

The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;

⇒ 3 : 4

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio is,

⇒ 30 : 40

Now,

When we dividing both sides by 10, we get;

Since, The ratio is;

⇒ 30 : 40

It can be written as;

⇒ 30 / 40

After dividing by 10, we get;

⇒ 30 / 40

⇒ (30 ÷ 10) / (40 ÷ 10)

⇒ 3 / 4

⇒ 3 : 4

Therefore,

The equivalent ratio to the ratio 30 : 40 after dividing by 10 will be;

⇒ 3 : 4

Learn more about the ratio visit:

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Answer:

1/4

I hope this helps!

Answer:

Last option, D

Step-by-step explanation:

Its right. trust me

Answer:

Perimeter = 30

Step-by-step explanation:

hypotenuse = [tex]\sqrt{5^2+12^2}[/tex]

hypotenuse = [tex]\sqrt{25+144}[/tex]

hypotenuse = [tex]\sqrt{169}[/tex]

hypotenuse = 13

Perimeter = 5+12+13

Perimeter = 30

Answer:

[tex] \frac{1}{12} \times (13x - 36)[/tex]

Answer:

2.833

Step-by-step explanation:

Answer:19/6/16

Step-by-step explanation:

Answer:

y = -4x + 5

Step-by-step explanation:

Answer:

if not 2 x+-4 im sorry

Step-by-step explanation:

Answer: $16

Step-by-step explanation:

Total Profit = $130 - $59

Tatol Profit = $80

Profit Per Seearter = $80 ÷ 5 =26

Answer:

The Profit is $16 per Sweater

Step-by-step explanation:

Answer:

200 + 10 = 2010

Step-by-step explanation:

is wen i was born.