A charitable organization holds a canned food drive to benefit the local food bank. The number of cans collected by the volunteers of the organization as they came in are 2, 6, 12, 16, 2, 6, 13, 17, 3, 8, 13, 19, 4, 10, 14, 19, and 5.

Pls help. I need the first and third quartile and the median

The tree diagram that represents the events is an illustration of probability and combination

To draw the tree diagram, we make use of the following representations:

See attachment for the tree diagram.

From the tree diagram, the sample space is as follows:

S = {HR, HY, HB, TR, TY, TB}

This is represented as: TY

From the sample space above, we have:

TY = 1

Hence, the number of outcomes that represents "Toss a tail, spin yellow" is 1

We have:

TY = 1

Sample size = 6

Hence, the  of tossing tails and spinning yellow is 1/6

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The linear regression equation that represents this data set is equal to y = 120.8x + 2,114.

First of all, we would determine the slope of the given data set by using this formula:

[tex]Slope = \frac{\sum (x-\bar x)(y-\bar y)}{\sum (x-\bar x)^2}[/tex]

For the sample mean (years), we have:

[tex]\bar x = \frac{0\;+\;1+\;2\;+\;3\;+4}{5} \\\\\bar x =\frac{15}{4} \\\\\bar x =3.75[/tex]

For the sample mean (cases), we have:

[tex]\bar y = \frac{904\;+\;900+\;833\;+\;837\;+754}{5} \\\\\bar y =\frac{4,228}{4} \\\\\bar y =1057[/tex]

The sums are given by:

∑(x - |x|) = (0 - 3.75) + (1 - 3.75) + (2 - 3.75) + (3 - 3.75) + (4 - 3.75)

∑(x - |x|) = - 3.75 - 2.75 - 1.75 - 0.75) + 0.25

∑(x - |x|) = -8.75.

∑(x - |x|)² = (-8.75)² = 76.5625.

∑(y - |y|) = (904 - 1057) + (900 - 1057) + (833 - 1057) + (837 - 1057) + (754 - 1057)

∑(y - |y|) = -153 - 157 - 224 - 220 - 303

∑(y - |y|) = -1,057‬.

∑(x - |x|)(y - |y|) = -8.75 × -1057

∑(x - |x|)(y - |y|) = 9,248.75.

Now, we can determine the slope:

Slope = 9,248.75/76.5625

Slope = 120.8‬.

Therefore, the equation is given by:

y = 120.8x + a

Next, we would find the value of a:

1057 = 120.8(-8.75) + a

a = 1057 + 1,057

a = 2,114.

Hence, the linear regression model is given by:

y = 120.8x + 2,114.

Since the new cases would reach 579, the calendar year would be calculated as follows:

579 = 120.8x + 2,114

120.8x = 579 - 2,114

120.8x = -1,535

x = -1,535/120.8

x = -12.71.

Year = 2014 + 12.71

Year = 2026.71 ≈ 2027.

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Answer:

Maggie can run faster by 0.85 minutes.

Maggie runs in 5.20 minutes, Olivia runs in 4.35 minutes.

Step-by-step explanation:

Maggie = can run a mile in 5.2 minutes (1.3/0.25)

Olivia = can run a mile in 4.35 minutes (2.9/0.666666667)

5.2-4.35= 0.85 minutes

Answer:

4 fish in each tank.

Step-by-step explanation:

20/5 = 4

Answer:

Explanitory

Response

Step-by-step explanation:

edge

Answer:

A and c

Step-by-step explanation:

multiply the 3 to both parts of equation

Answer:

it's A and C, multiply 3 with 3x and 4y

Answer:

separate : x-4y=1
= x-2y = 10

the other one: x = 6y + 2

togetehr : x = -1 , y = -1/2

step-by-step explanation:

i don't know if they're together so ima give you the answer for them if they are and just separte answers

Answer:

that is your answer hope this helps u

The height of the rectangular prism is 3.1

[tex]6.9x=21.39[/tex]

[tex]21.39[/tex] ÷ [tex]6.9=3.1[/tex]

Sure hope this helps

If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

Let L be the length of the rectangle and W be the width of the rectangle.

Then we have

4W + 3L = 33 ...1

 2W + L = 13 ...2

Then by the equations 1 and 2, we have

W = 3 and L = 7

Then the perimeter of the rectangle will be

Perimeter = W + L

Perimeter = 3 + 7

Perimeter = 10 cm

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Answer:

-3v-20

Step-by-step explanation:

Answer:

34 in²

Step-by-step explanation:

20.7 / 3.14 = 6.592 = diameter

6.592 / 2 = 3.296 = radius

3.296²(3.14) = 34.1

≈ 34 in²

Answer:

The answer is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Use rise over run, so you go up 1 then go to the right twice giving you the slope

Answer:

It’s B

Step-by-step explanation:

they are a linear pair, when added up,the equal 180, so u would subtract 56 from 180 to get the answer.

ur wlcm :)

brainliest please?

Step-by-step explanation:

this simply means that the coordinates are multiplied by the scale factor.

(a, b) -> (a×k, b×k)

that's it.

so, the first answer is correct.

Answer:

19.5625

Step-by-step explanation:

To find the mean, you add all of your values together and divide by the number of values you have.

Here are the values in the dot plot listed:

12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29

To find the mean:

(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625

The expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20

The volume of the cylinder is given as:

V = 20

The volume of the cone is 1/3 of the volume of the cylinder.

So, we have:

v = 1/3 * V

Substitute 20 for V

v = 1/3 * 20

Hence, the expression that represents the volume of a cone with the same base and height as the cylinder is 1/3 * 20

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Answer:

B

Step-by-step explanation:

Hope this helps B)

Answer:

Option 2

Step-by-step explanation:

Making the terms based on the words :

⇒ n/3 - 3 (3 is subtracted from one third of a number n)

⇒ < 6 (less than 6)

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

The inequality is :

⇒ n/3 - 3 < 6

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

The solution :

⇒ n/3 - 3 < 6

⇒ n/3 < 9

⇒ n < 27

Answer:

6 hours

Step-by-step explanation:

Subtract saved amount from required amount :

Divide by the pay rate :

Tyrone must work at least 6 hours to have $100 saved.

Answer:

the statement that combines the functions is P(x)

Answer:

Coordinate form:

(9,-1) (-4,12)

Step-by-step explanation:

y=3x^2-16x-100

Sub in y for the second equation

x+3x^2-16x-100=8

Continue solving

End result should look like that:

The amount of co2 that Harry's vehicle would release to the atmosphere in a year is 12,000 pounds.

The first step is to determine the gallons of gasoline that the car would need in a year: 15,000 / 25 = 600 gallons

The second step is to determine the total emissions when the car uses 600 gallons: 600 x 20 = 12,000 pounds

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Answer:

197.92034

Step-by-step explanation:

V=πr2h=π·32·7≈197.92034

Answer:

nine less than the product of five and seven

Answer:

-54

Step-by-step explanation:

first of all you want to simplify them

Answer:

The value of X = 9

Step-by-step explanation:

X+13=22

X = 22-13

X = 9

The missing number in the sequence is 31

The sequence is given as:

10,11,12,13,14,15,16,17,18,19,20,22,24, _, 100, 121, 10,000

The above sequence is a base 16-n sequence numbers

In base 16-n, the next number after 24 is 31

So, the complete sequence is:

10,11,12,13,14,15,16,17,18,19,20,22,24, 31, 100, 121, 10,000

Hence, the missing number in the sequence is 31

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The ratio of nonwinners in group A to nonwinners in group B after the selections are made is 156 : 319.

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

Nonwinners in group A = (1 - 3/5) x 390 = 156

Winners in group B = (390 - 156) = 234

nonwinners in group B = 553 - 234 = 319

The ratio = 156 : 319

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Answer:

See figure below.

Step-by-step explanation:

Since the dilation is 1/5 with respect to the origin, divide each x- and y-coordinate by 5 to find the new points. Then plot them. See figure below.

Answer:

100

100 is not an odd number, its higher than 90 but not 100

and 100-100=0

Step-by-step explanation:

Hope it helps