A golfer recorded the following scores for each of four rounds of golf: 86, 81, 87, 82. The mean of the scores is 84. What is the sum of the squared deviations of the scores from the mean?

Answers

Answer 1

Answer:

26

Step-by-step explanation:

Subtract the mean (84) from each of the four scores, obtaining

2, -3, 3, - 2

These are the "deviations."

Next, square each of these four deviations, obtaining

(2)^2 = 4, and:

(-3)^2 = 9, and:

(3)^2 = 9, and:

(-2)^2 = 4

Then the sum of the squared deviations of the scores from the mean is 26.


Related Questions

I’m being timed help!!!!!!!!!!!!!!

Answers

Answer: light blue

Step-by-step explanation: Ax + By = C

Answer:

3x - y = -2

Step-by-step explanation:

Using the digits 0-9, at most one time each, create five ordered pair that represent a linear
function that has a greater rate of change than the following (explain how u got that answer)

Answers

Answer:

(-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4)

Step-by-step explanation:

From the graph attached,

Ordered pairs which lie on the given line (-9, 0), (0, 3), (3, 4), (6, 5) and (9, 6).

Since all the points lie on the same line, rate of change of the linear function will be defined by the slope of the given line.

Slope of the line passing through (0, 3) and (3, 4) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                                                                  = [tex]\frac{4-3}{3-0}[/tex]

                                                                             [tex]m_1[/tex] = [tex]\frac{1}{3}[/tex]

Now we have to find the ordered pairs which represent a linear function having slope greater than [tex]\frac{1}{3}[/tex].

So the points will be (-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4).

Slope of the linear function passing through (-9, 0) and (-8, 1)

[tex]m_2[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

    = [tex]\frac{1-0}{-8+9}[/tex]

    = 1

Here [tex]m_2>m_1[/tex]

84 divide by 7 show all work

Answers

Answer:

12

Step-by-step explanation:

84÷7=12

you can check by multiplying 12x7=84

12

×7

84.

Answer:all you do is divide 84 by 7 which is the answer you should get is 12

6|2x+3|=36 need a mini step by step

Answers

Answer:

x=1.5

Step-by-step explanation:

We are trying to get x  by itself to see what it equals.

6(2x+3)=36

So first you want to distribute you proprieties.  You do that by multiplying 6 and 2x.  Then multiplying 6 and 3.

12x+18=36

Now in equations where you need to find the variable, whatever you  do on one side of the equal sign, you have to do on the other side.  So now we want to subtract 18 from both sides.

12x+18=36

     -18  -18

Then we divide 12 from both sides.

12x=18

÷12   ÷12

Now you have your answer!

x=1.5

Find the lowest number divisible by 15, 20 & 25.

Answers

Answer:

300.

Step-by-step explanation:

This is the LCM.

15  = 3 * 5

20 = 2 * 2 * 5

25 = 5 * 5

One 5 appears in all 3  factors so we only use this once in the calculation:

LCM = 2 * 2 * 3 * 5* 5 = 300

Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden?

Answers

I might be wrong, but there’s not enough info to solve this. You know she needs 30 pounds per square foot, but how big is the garden in the first place?

Answer:

152

Step-by-step explanation:

Multiply 19 and 8

A savings account rounds the amount of money deposited to the nearest hundredths place. After tax returns on April 15th, Mulan earned
exactly $239.1639 in retums.
How much money was deposited into the savings account?
A. $200
B. $239.16
C. 236.17
D. 239.164
E. I don’t know yet

Answers

Answer:

Step-by-step explanation:

The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7 and up $4. What was the price of a share at the end of the day

Answers

Answer:

32

Step-by-step explanation:

$37 - 3 = 34
$34 + 1 = 35
$35 - 7 = 28
$28 + 4 = $32
The price at the end of the day would be $32.
:) hope you get a good grade.

What is the slope of the line that passes through (4, 5) and (8, -1)?

Answers

Answer:

m = -3/2

Step-by-step explanation:

The slope of a line is equivalent to the formula:

m = slope = rise/run = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given the two coordinate pairs, we can label them accordingly.

In math, coordinate pairs are set up in a way that the x-coordinate is given first and the y-coordinate is given second.

Therefore, with this information, we can label the coordinate pairs with this info.

[tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is the default labeling system for two coordinate pairs.

Then, we can use this information to label our coordinate pairs, place them into the slope formula, and solve for m.

[tex]m=\frac{-1-5}{8-4}\\\\m = \frac{-6}{4}\\\\\boxed{m=-\frac{3}{2}}[/tex]

is √13 greater or less than 3.5

Answers

Answer:yes it is greater

Step-by-step explanation:

Step-by-step explanation:

Hey, there!!

[tex] \sqrt{13 \: } \: is \: not \: greator \: than \: 3.5[/tex]

Because, root 13 means 3.60 also,

So, when you see 3.5 and 3.6 then it's obvious that 3.6 is greator.

Or if you see it in fractional form.

it will be,

18/5 and 7/2.

when we take a like term,

18×2/10 and 7×5/10

They will be ,

36/10 and 35/10.

Which implies 36/10>35/10.

So, the answer is root 13 is not greator than 3.5.

Hope it helps....

Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f+g)
(x), and then find the domain of the result.??

Answers

you just add these functions:

(f+g)(x)=4x+8+2x-12=6x-4

domain of this function is still all reals (R)

20 POINTS: If tan= 3/4, find the CSC I don't know the relationship between tan and csc, please explain your answer

Answers

Answer:

[tex]\csc(x)=5/3[/tex]

Step-by-step explanation:

So we know that:

[tex]\tan(x)=3/4[/tex]

Recall that tangent represents the side opposite over the side adjacent.

This means that the opposite side is 3 while the adjacent side is 4.

Therefore, by using the Pythagorean Theorem, we can solve for the third side, which is the hypotenuse:

[tex]a^2+b^2=c^2[/tex]

Substitute a for 3 and b for 4. Thus:

[tex]3^2+4^2=c^2[/tex]

Square and add:

[tex]9+16=c^2\\25=c^2[/tex]

Square root:

[tex]c=5[/tex]

Now, recall that cosecant is the reciprocal of sine. So, find sine first.

Sine is opposite over hypotenuse. From tangent, the opposite is 3 and the hypotenuse as we now know is 5. Thus:

[tex]\sin(x)=3/5[/tex]

And cosecant is the reciprocal of that. Thus:

[tex]\csc(x)=5/3[/tex]

And that's our answer :)

Find the value of n and YZ if Y is between X and Z.

XY = 5n, YZ = 2n, XZ = 91​

Answers

The value of n and YZ are 13 and 26 respectively

If Y is between X and Z, then:

XY + YZ = XZ

Given the following

XY = 5n

YZ = 2n

XZ = 91​

Substitute the given expressions into the formula as shown:

5n + 2n = 91

7n = 91

Divide both sides by 7

7n/7 = 91/7

n = 13

Get the measure of segment YZ

YZ = 2n

YZ = 2(13)

YZ = 26

Hence the value of n and YZ are 13 and 26 respectively

Learn more here: https://brainly.com/question/23423083

What is the degree for 6p-8

Answers

The degree is one bcz p is not having and power
Hope it helps :)

Charle has 10 guests over at his house. If he gives each guest bacon, he will have given
out a total of 30 pieces of bacon. How much bacon did each guest get?

This needs to be converted into and algebraic expression plz help its due soon

Answers

Answer:

Each guest got 3. (if he doesn't have any for himself).

Step-by-step explanation:

if each guest is x

30=10x

divide by 10

x=3

hope this helps and if you want please consider giving me brainliest! :)

Express in simplest radical form.
Sqrt (27)

Answers

Answer:

3√3

Step-by-step explanation:

√27 =

= √3×9

= √3×3²

= 3√3

What is 8c + 10b ÷ 7a if c = 10, b = 17, and a = 2. Please give a full and good explanation for a brainliest...​

Answers

Answer:

The answer is 92.14

Step-by-step explanation:

Plugin the variables: 8c + 10b ÷ 7a=> 8(10)+10(17)/7(2)Multiply the variables: 8(10)+10(17)/7(2)=> 80+170/14Divide due to order of operations: 80+170/14=> 80+12.14Add: 80+12.14=>92.14Final answer: 92.14

324 is the same as the sum of 144 and v

Answers

Answer:

v = 180

Step-by-step explanation:

324 = 144 + v

v = 324 - 144

v = 180

Answer:

v = 180

Step-by-step explanation:

The equation is basically 324 = 144 + v

Then you just solve the equation:

324 = 144 + v

-144 = -144

180 = v

Hope this is what you were looking for.

adam bought a box of fruit that weighed 6 1/4 pounds. if he bought a second box that weighed 8 1/8 pounds , what is the combined weight of the boxes?

Answers

Answer:

14 3/8 pounds

Step-by-step explanation:

6 pounds plus 8 pounds= 14 pounds. 1/4 + 1/8= 3/8. 1/4 can be turned into 2/8, and 2/8 plus 1/8 equals 3/8. Hope this helps :)

Find the area of the shaded region. All measurements are in centimeters. Show your reasoning. Place your answer in the box to the right.

Answers

The answer is 1,486 meters

The number 650,000 written in scientific notation would be _____. 6.5 × 10 -5 6.5 × 10 5 65 × 10 4 0.65 × 10 -6

Answers

Answer:

6.5 * 10 ^5

Step-by-step explanation:

650,000

Scientific notation is of the form

a * 10 ^b where a is between 1 and less than 10

Move the decimal 5 places to the left

6.50000

5 becomes the exponent b,  since we moved it to the left, the exponent is positive

6.5 * 10 ^5

Answer:

the answer is:6.5times 10to the power of 5

Minato drove 390 miles. Part of the drive was along local roads, where his average speed was 20 mph, and the rest was along a highway, where his average speed was 60 mph. The drive took 8 hours. What distance, in miles did Minato drive along local roads?

Answers

Answer:

45 miles.

Step-by-step explanation:

Given that the:

Total distance covered = 390 miles

Total time = 8 hours

Let the distance covered along the local way = L

And the distance covered along the highway = H

Along with local way,

Speed = distance/ time

20 = L / T

T = L /20 .... (1)

Along the highway,

Distance covered H = 390 - L

Let the time = t

Speed = distance/time

60 = (390 - L)/t

t = ( 390 - L)/60

But total time = T + t

That is

8 = L/20 + (390 - L)/60

The LCM at right hand side will be 60

8 = ( 3L + 390 - L )/60

Cross multiply

480 = 2L + 390

Collect the like terms

2L = 480 - 390

2L = 90

L = 90/2

L = 45 miles.

Therefore, the distance Minato drive along local roads is 45 miles

how many fewer alligators were in bite swamp than in chomp lake and reptile creek combined

Answers

Answer:

4

Step-by-step explanation:

Df = 9x -39 find EF.
DE =47

Answers

Greetings from Brasil....

Looking at the figure we can say that:

DF = DE + EF

DF = 9X - 39

DE = 47

EF = 3X + 10

inserting these data in the 1st expression....

DF = DE + EF

9X - 39 = 47 + (3X + 10)

9X - 39 = 47 + 3X + 10

9X - 3X = 57 + 39

6X = 96

X = 96/6

X = 16

EF = 3X + 10 anb X = 16, so

EF = 3·16 + 10

EF = 48 + 10

EF = 58

Find X. Need help ASAP

Answers

Answer:

A

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, then

the product of the external part and the whole of the secant is equal to the square of the tangent, that is

48(48 + x) = 60² = 3600 ( divide both sides by 48 )

48 + x = 75 ( subtract 48 from both sides )

x = 27 → A

dear friends answer is

x= 27

Mia climbs 2/5 of the height of the rock wall. Lee climbs 3/8 of Mia's distance. What fraction of the wall did Lee climb?

Answers

Answer:

you got this

Step-by-step explanation: be a smart person like you are

(7x+5)/(6) write the fraction as a sum or difference

Answers

Answer: Factor the numerator and denominator and cancel the common factors.

7x/6+5/6

Step-by-step explanation:

Simplify each expression by combining like
terms.
21a + (-18b) - 6a + 1lb

Answers

Answer:

My answer is

21a-18b-6a+11b.

which is 21a-6a-18b+11b.

=15a-7b.

Select the correct answer

Answers

Answer:

D.  5 weeks

Step-by-step explanation:

A population of pea aphids double every week beginning with 300 aphids.

Week 1:   300 × 2 = 600

Week 2:  600 × 2 = 1200

Week 3:  1200 × 2 = 2400

Week 4:  2400 × 2 = 4800

Week 5:  4800 × 2 = 9600

It will take 5 weeks

A round wading pool has a diameter of 115\text{ cm}115 cm115, start text, space, c, m, end text and is 25\text{ cm}25 cm25, start text, space, c, m, end text deep. A hose is filling the pool at a rate of 34{,}000\text{ cm}^334,000 cm 3 34, comma, 000, start text, space, c, m, end text, cubed per minute. How long will it take to fill the pool to a depth of 20\text{ cm}20 cm20, start text, space, c, m, end text?

Answers

Answer: 6

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

got answer from Khan and ml78786maggie

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