What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Part A

To find the mean, we add up the values and divide by n = 8 since there are 8 values in this set.

Adding the values gets us

28+45+12+34+36+45+19+20 = 239

Dividing this over 8 then leads to 239/8 = 29.875

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Part B

We'll subtract each data value from the mean. We apply absolute value to ensure the result is never negative.

The list of results we get so far is:

1.875, 15.125, 17.875, 4.125, 6.125, 15.125, 10.875, 9.875

This represents the distance each value is from the mean.

Add these values up and divide by n = 8

1.875+15.125+17.875+4.125+6.125+15.125+10.875+9.875 = 81

81/8 = 10.125

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Part C

The result of part A is one way to measure the center of the distribution of values. It's the average value, which can more or less represent the entire group. Think of it being like how people vote in a senator to represent them in congress. Ideally, this senator is a supposed "average" person to represent everyone.

The result of part B builds on what part A found. The result of part B is the average distance each value is from the center. This is because each time we subtracted and applied absolute value, we found the distance that item was from the mean.

Example: The calculation |28 - 29.875| = 1.875 shows that 28 is exactly 1.875 units from the mean 29.875

By adding up those results and dividing by 8, we are finding the average distance from the mean. Effectively, it tells us how spread out the data set is. The mean absolute deviation (MAD) is a measure of spread in a similar fashion that the standard deviation is, or in a more looser sense, the range is as well.

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In short, the result of part A is a measure of center while the result of part B is a measure of spread. I use "a" instead of "the" because there are other measures of center and other measures of spread.

Answer:

C. [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

Cluster

Step-by-step explanation:

When observations from a large population are divided into groups, such that subjects in each of these groups are similar to one another than those in the other groups. These individual groups of observation are called clusters. In the scenario above, the random group of 4 third grade classes selected represent of cluster or group since all the subjects belong to the class grade which is to be measured and all subjects belonging to the selected cluster or group are to be measured.

Answer: Yes, but only if he houses 37, 38, 39, or 40 fish

Anything larger than 40 and he'll need more room.

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Explanation:

The tank is 30 cm by 30 cm by 100 cm. The volume is 30*30*100 = 90,000 cm^3 which is shorthand for "cubic centimeters".

We're told that 1000 cm^3 = 1 liter, which means the 90,000 cm^3 converts to (90,000)/(1000) = 90 liters.

The fish tank is 90 liters.

Since 1 gallon = 4.5 liters, this means the 90 liter tank converts to 90/(4.5) = 20 gallons

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Your teacher mentions "He can keep 2 small fish for every 1 gallon".

Since the tank is 20 gallons, that means he can keep 20*2 = 40 fish. This value is larger than 36, so Matt is correct to a point. If Matt is thinking 37, 38, 39, or 40 fish then he would be correct. If Matt is wanting more than 40 fish, then he'll need a bigger tank.

In short, he can't have any number over 36 and can only have 4 specific values (the four values mentioned earlier).

So technically, Matt is correct, but strong clarification is needed.

Answer:

13707.2 yards squared

Step-by-step explanation:

meter is almost a yard

60.4 meters = 66.054 yards

area of a circle = Pi * r^2

Pi * (66.054 yards * 66.054 yards)

= 13707.1800324

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Answer:

  (a)  2

Step-by-step explanation:

Each inch is 2.54 cm, so 5.08 cm is ...

  x / (5.08 cm) = (1 in) / (2.54 cm)

  x = (1 in)(5.08/2.54) = (1 in)(2)

  x = 2 in

5.08 cm equals 2 inches.

Step-by-step explanation:

here's the answer to your question

Answer:

Step-by-step explanation:

Concept:

Here, we need to know the idea of a special triangle 30-60-90.

A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist.

The ratio between the corresponding side of each angle is 1 : √3 : 2

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

30-60-90 ⇔ 1 : √3 : 2

Given the side corresponding to 90° is 20

30° : 90° = 1 : 2

30° : 20 = 1 : 2

30° = 10

30° : 60° = 1 : √3

10 : 60° = 1 : √3

60° = 10√3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]y=\sqrt{x} -2[/tex]

Step-by-step explanation:

If you were to replace x with 0 in each of the equations, you would get

from top to bottom choices:

[tex]\sqrt{2}[/tex]

[tex]\sqrt{-2}[/tex]

2

-2

Since we can see that the line touches the y-axis on the number -2, we know that it is the last choice that is the answer

Answer:

a) About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of​ earbuds.

b) About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received ​$5 off their first​ purchase.

Step-by-step explanation:

a. About how many shoppers received a free set of​ earbuds?

21% out of 230. So

[tex]230\frac{21}{100} = 2.3(21) = 48.3[/tex]

About 48 of the shoppers, that is [tex]230\frac{21}{100}[/tex] of the shoppers, received a free set of​ earbuds.

b. About how many shoppers received ​$5 off their first​ purchase?

25% out of 230, so:

[tex]230\frac{25}{100} = 230\frac{1}{4} = \frac{230}{4} = 57.5[/tex]

About 58 shoppers, that is [tex]\frac{230}{4}[/tex] received ​$5 off their first​ purchase.

Answer:

C. 4

Step-by-step explanation:

ln(4) = the power of e to get 4.

and then we put e to the power of that answer, so the result must be 4.

Answer:

4:5

Step-by-step explanation:

A pair of complementary add up to 90, given that one of them is 50, we can do this: x + 50 = 90

solve it and we get x = 40

40 + 50 = 90, so 40 and 50 are the pair of complementary angles.

As for it's Ratio, we can just get the pair and have it as 40:50 but we can reduce it to 4:5

Answer:

5 squares will be painted black.

Step-by-step explanation:

There are 9 squares, and 4 of them will be painted white, so that means that the remaining squares will be painted black. 9-4=5, so 5 squares will be painted black.

Hope this helped! :)

Answer:

6 and 2/3

Step-by-step explanation:

you do 1 2/3 x 4 because that is the amount of flour you need to make one batch. That is the correct answer.

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Answer:

  (a)  ΔWZY ~ ΔWXZ ~ ΔZXY

Step-by-step explanation:

In order for the similarity statement to be correct, the corresponding sides need to be listed in the same order.

A: ΔWZY lists sides in order short leg (WZ), long leg (ZY).

  ΔWXZ lists sides in order short leg (WX), long leg (XZ).

  ΔZXY lists sides in order short leg (ZX), long leg (XY).

The first similarity statement is correct.

__

You can compare this to an incorrect one, the last one, for example.

ΔYZW lists sides in order long leg (YZ), short leg (ZW).

ΔXZW lists sides in order long leg (XZ), hypotenuse (ZW). Hypotenuse and short leg are not corresponding sides, so the similarity statement is incorrect.

Answer:

1. 0.02                      

2. 100%

3. 3.66

4. 125

                                                        Hope this helps c;

Answer:

g(-3) = 1

Step-by-step explanation:

The x-value -3 lies within the given interval x ≤ -3, and so the correct piecewise function is x + 4, not -4 or -1.  Evaluating x + 4 at x = -3 yields 1.

Thus, g(-3) = 1

The required value of the function g(x) at x = -3 , g(-3) is +1.

Given that,
A function is given with their domain,
g(x) = x + 4 when x≤
g(x) = 4 when -3 < x < 3
g(x) = - 1 when x ≥ 3

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here, Function has been given with their respective limit in which the function is defined,
For the value of g(-3) the value of x = -3 lies in the limit x ≤ -3
So for this limit, we have a function,
g(x) = x + 4
g(-3) = - 3 + 4
g(-3) = +1

The required value of the function g(x) at x = -3 , g(-3) is +1.

learn more about function here:

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Answer:

465/1178 = .395 = 39.5%

Step-by-step explanation:

        224 + 245

224+ 387 + 245 + 322

465/1178 = .395 = 39.5%

Answer:

Fifty percent of the data values lies between 34 and 46.

It is unlikely that there are any outliers.

Step-by-step explanation:

drawing out this box plot and looking online for a picture of the same plot:

From the box plot:

median=46

Q1=42

Q3=70

Q3-Q1= IQR=70-42=28

max=76

min=34

Range=max-min=76-34=42

no outliers seen from boxplot

Answer:

that person is right

Step-by-step explanation:

Answer:

The correct answer is d.

Answer:

b. 0.0228

Step-by-step explanation:

We are given that

n=40

Mean,[tex]\mu=402.7 g[/tex]

Standard deviation, [tex]\sigma=8.8[/tex]g

We have to find the probability hat the mean weight for a sample of 40 summer squash exceeds 405.5 grams.

[tex]P(x>405.5)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}>\frac{405.5-402.7}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>\frac{2.8}{\frac{8.8}{\sqrt{40}}})[/tex]

[tex]P(x>405.5)=P(Z>2.01)[/tex]

[tex]P(x>405.5)=1-P(Z\leq 2.01)[/tex]

[tex]P(x>405.5)=1-0.977784[/tex]

[tex]P(x>405.5)=0.022216[/tex]

Hence, option b is correct.

Answer:

n = .25

Step-by-step explanation:

For the equation to be true, both sides must be equal.

20 * 4 * 3 * n = 5 * 12

240 * n = 60

n = 60/240

n = .25

Answer:

1/4

Step-by-step explanation:

20×n×4×3=5×12

or, 240n=60

or, n=60/240

or, n=1/4

Answered by GAUTHMATH

Answer:

x = 60

Step-by-step explanation:

Recall: one of the properties of a parallelogram is that consecutive angles are supplementary. This means they add up to given 180°

2x and x are consecutive angles. Therefore:

2x + x = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

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Answer:

  A.  17.8°

Step-by-step explanation:

We have an angle and an opposite side, so we can use the law of sines to find the angle of interest.

  sin(A)/a = sin(C)/c

  A = arcsin(a/c·sin(C)) = arcsin(11/18·1/2) = arcsin(11/36)

  A ≈ 17.7916° ≈ 17.8°

The answer is D. Because if we put 16 in place of x, MP, NO will be 24, 16 respectedly

Step-by-step explanation:

So all horizontal line will be decrease from line MP to No.

As result MP will be = 24, QR = 20, NO = 16. We can see there's different of 4.

The value of x in the trapezoid is 16.

Option D is the correct answer.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as: 1/2 x sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

In a trapezoid, the median is the average of the parallel sides,

So we have:

QR

= (NO + MP)/2

= (x + x + 8)/2

= (2x + 8)/2

= x + 4

Since we also know that QR = 20, we can set the two expressions equal to each other and solve for x:

x + 4 = 20

x = 16

Therefore,

The value of x is 16.

Learn more about trapezium here:

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Answer:

  78.5 km

Step-by-step explanation:

Measured at the airport, the angle between the two planes is ...

  180° -60° -50° = 70°

The law of cosines tells us the distance between the planes is ...

  d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km

The planes are about 78.5 km apart.

Answer:

Its -0

Step-by-step explanation:

-0-5=-5

Hope thia helps I believe its right check on a calculator

Answer: 432000

Step-by-step explanation: (Amount of seconds in a day ->) 86400÷2 (<- 5 times every 10 seconds is 1 flash every 2 seconds so yes, 2) = 43200 (<-Yay Answer-! )

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Answer:

  -2k·ln(7)

Step-by-step explanation:

49 is a perfect square, so the argument of the log function can be written as ...

  1/46^k = 1/(7^2)^k = 1/7^(2k) = 7^(-2k)

Then the log of it is ...

  ln(7^(-2k)) = -2k·ln(7)