Mathematics High School

Question 9
4 pts
What is the r-value of the following data to three decimal places?
х
у
4
23
5
12
8
10
9
9
13 2
0 -0.903
0.816
0.816
0.903

Answers

Answer 1

Answer:

-0.903

Step-by-step explanation:

Answer 2

The value of r is 0.953.

What is a correlation coefficient?

The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables.

The correlation coefficient i.e. r is calculated by the formula,

r = nΣxy-(Σx)(Σy) / √(nΣx² - (Σx)²) / (nΣy²  - (Σy)²)

where n=5 is the sample size.

We create a table of required values,

  x        y          x²          y²           xy

  4        2         16           4             8  

  5        9         25         81            45

  8        10        64         100         80

  9        12         81         144         108

  13       23       169        529        299

∑ 39      56        355       858        540

Substitute the values in the formula,

r = r = (5 × 540 - (39)(56))/(√((5 × 355 - (39)²)(5 × 858 - (56)²)))

r = (2700 - 2184)/(√((254)(1154)))

r = 516/(√(293116))

r = 516/541.4018

r = 0.953

Hence, the value of r is 0.953.

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Related Questions

b) The sum of the ages of the father and son is 44 years. After 8 years, the age of
father will be twice the age of the son. Find their present ages,​

Answers

Let the present age of father = x years

and the present age of son = y years

according to the first condition

x + y =44 ........(i)

according to the second condition

x+8 = 2(y+8)

or x+ 8 = 2y + 16

or x- 2y = 8 ............(ii)

solve the equation (i) & (ii) we get

x + y =44

x- 2y = 8

••••••••••••••••••••••••

3y = 36

or y = 12

put the value of y in equation (i), we get

x + 12 =44

or x = 32

so the present age of father = x =32 years

and the present age of son = y = 12 years.

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Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which function shows the relationship between y, the total number of albums she has remaining, and x, the number of storage units Vanya owns?
a.y = 16x
B.y = 16x + 3
C.y = 13x
D.y = 16x – 3

Answers

Answer:

d

Step-by-step explanation:

vintage gave her cousin 3 albums when she had 16

so y=16x-3.

Se quiere obtener 20 kilogramos de un ingrediente de 600 soles el kilogramo, mezclando cantidades convenientes de 800 y 550 soles el kilogramo. ¿Qué cantidad se debe usar de cada ingrediente?

Answers

Responder:

16 kg y 4 kg

Explicación paso a paso:

Deje que las suelas individuales se representen como ayb

Como queremos obtener un ingrediente de 20 kg en total, entonces;

a + b = 20 .... 1

Si estamos mezclando una cantidad adecuada para 800 y 550 por kg a 600 por kg, entonces;

800a + 500b = 600 (20)

800a + 550b = 12000

80a + 55b = 1200

16a + 11b = 240 .... 2

Resuelve 1 y 2 simultáneamente

a + b = 20 .... 1 × 16

16a + 11b = 240 .... 2 × 1

______

16a + 16b = 320

16a + 11b = 240

Sustraer

16b-11b = 320-240

5b = 80

b = 80/5

b = 16

Sustituya b = 16 en la ecuación 1

a + b = 20

a + 16 = 20

a = 20-16

a = 4

Por lo tanto, se utilizaron 16 kg del primer ingrediente y 4 kg del otro ingrediente.

Who do you think killed Jody Woah??

Answers

Answer:

who is he?

Step-by-step explanation:

Sorry don’t know this one

(-9, -6) and (3, -9) I keep getting my answer right but it is saying it's not the right answer so I need help-

Answers

Try putting it in a different order

Explain whether 11t - 3t is equivalent to 3t - 11t. please help

Answers

It is not.

There are two ways to deal with this.

First is to separate them into expressions.

11t - 3t is made up of 11t and -3t

3t - 11t is made up of 3t and -11t

As you can see the negative sign are different from each expressions, therefore they are different.

Another way to see it is to solve them.

11t - 3t = 8t

3t - 11t = -8t

The answers are not = so they are not equivalent to each other.

What is the Y and x intercept of 9X-6Y= 72

Answers

Answer: The y-intercept is -12

The x-intercept is 8

Step-by-step explanation: Factor out 3

Divide all by 3 to simplify.

9x - 6y = 72 is equivalent to

3x - 2y = 24

At this point, you can substitute 0 for x and solve for y

3(0) -2y = 24. -2y/-2 = 24/-2

y = -12

And substitute 0 for y and solve for x.

3x -2(0) = 24. 3x/3 = 24/3

x = 8

OR Change to slope intercept form:

y = mx + b. b is the y intercept.

-2y = -3x + 24. Solve for y.

Divide all by-2

y = 3x/2 - 12.

The y-intercept is -12

To find the x-intercept, substitute 0 for y and solve for x.

0 = 3x/2 -12 Add 12 to both sides.

12 = 3x/2. Multiply both sides by 2/3

8 = x

The x-intercept is 8

please help it is due by 11:59

Answers

Answer:

5

Step-by-step explanation:

6(5)+20=10(5)
30+20+50
50=50
The answer is 1) 5

The high school soccer team has no more than 26 players. Select the
inequality that represents how many more players can make the team if
the coach has already chosen 17 players.

Answers

Answer:

17 + x <_ 26

Step-by-step explanation:

<_ means smaller than or equal to

f(x)=2/x^2-2x-3
What are the x and y intercepts to this function?

Answers

Answer: f ( x ) = x 2 − 2 \x − 3

Step-by-step explanation:

What is y= 4/5x+2 written in standard form?

Answers

Answer:

[tex]-\frac{4}{5}[/tex]x + y = 2

Step-by-step explanation:

Standard Form: Ax + Bx = C

y = [tex]\frac{4}{5}[/tex]x + 2

[tex]-\frac{4}{5}[/tex]x + y = 2

Answer:

4/5x-y=-2

Step-by-step explanation:

standard form

Ax+By=C.

y= 4/5x+2

subtract 4/5x from both sides

-4/5x+y=2

multiply both sides by negative 1

4/5x-y=-2

The local bike shop sells a bike and accessories package for $266. If the bike is worth 6 times more than the accessories, how much does the bike cost?.

Answers

Do 6x 266 in your calculator that’s ur answer

The cost of the bike is $40 and that accessories is $6.65

What are words problem?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Let the cost of the accessories be x, therefore, the cost of the bike is 6x,

According to the equation,

6x × x = 266

6x² = 266

x² = 44.33

x = 6.65

Therefore, the cost of the bike is = 6 × 6.65 = 39.94 ≈ 40

Hence, the cost of the bike is $40 and that accessories is $6.65

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Factor GCF expression 24x^2+8x

Answers

Answer:

8x (3x+1)

Step-by-step explanation:

8x is the gcf of 24x^2 and 8x.

What allowed an inland city like London to become a great shipping port?
A) The finance, insurance, and tourism industries are on the rise.
B) Scotland lies to the North, and Wells lies to the West.
C) the surrounding coastal plain drains directly into a fjord.
D) the Thames river is an estuary

Answers

Answer: D) The Thames River is an Estuary

I hope this helps, and stay safe!!! :)

Which of the following is not an integer?

0

9
-13

Answers

All of them are integers.

40 POINTS
A group of workers can plant 2/5 acres in 7/8 days.

What is the unit rate in acres per day?


Write your answer in simplest form.

Answers

Answer:

2.5/5 acre's in 8/8 day's

Step-by-step explanation:

A company that makes​ hair-care products had 9,000 people try a new shampoo. Of the 9,000 ​people, 36 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?

Answers

Answer: 0.4%

Step-by-step explanation:

Total number of people 9000, divide the number of allergic reactions 36 by 9000.

36/9000=0.004

Now multiply 0.004 x 100 to reveal percent allergic reaction

0.004 x 100 = 0.4%

0.4% had allergic reactions

Question 10 of 10 Which of the binomials below is a factor of this trinomial? x² + 3x - 4 O A. X+8 O B. x² + 4 O c. x-4 O D. X+4​

Answers

Step-by-step explanation:

Since x² + 3x - 4 = (x + 4)(x - 1), the correct answer is D.

5) Find the value of x (pic below)
A. 90 degrees
B. 135 degrees
C. 60 degrees
D. 45 degrees

Answers

The answer is D! Hope this helps!

What is range, domain, and is this graph a function?

Answers

Answer:

The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. When looking at a graph, the domain is all the values of the graph from left to right. The range is all the values of the graph from down to up.

what is 1 2/3 - 2 1/3​

Answers

Answer:

-2/3

Step-by-step explanation:

Hope this helps.

Please help i will give brainliest and show your work

Answers

Answer:

725.95

Step-by-step explanation:

I need help asap I'll give brainliest

Answers

Answer:

Step-by-step explanation:

around 100*

The parallelogram is shown below I have an area of 135 units. Find the missing base

Answers

Answer:

9

Step-by-step explanation:

The area of a parallelogram is base * height.

The area is given as 135

The height is given as 15

You do not need to use 17

Area = base * height       Substitute

135 = base * 15                Divide by 15 on both sides

135/15 = base*15/15

base = 9  

y=2x
4x - 5y = 9

x=
y=

Answers

This is the answer in point form a d equation


5. Miguel took 32 comic books to his friend's house. This is 40% of his total
collection of comic books. How many total comic books does Miguel have
in his collection?
A
80
B. 22
C 60
0.45
What is the correct linswer? (Select]

Answers

The correct answer is A) 80

Which best describes the realationship between the successive terms in the sequence shown

Answers

Answer:

[tex]the \: common \: difference \: is \: - 10[/tex]

Step-by-step explanation:

[tex] - 9 - 10 = - 1[/tex]

[tex] - 1 - 10 = - 11[/tex]

[tex] - 11 - 10 = - 21[/tex]

HOP THIS HELPS!

✧◝(⁰▿⁰)◜✧

For carolina's birthday her mom took her and her friends to a water park.Carolina mom paid 42.50 for 5 students tickets. What was the price for one student ticket

Answers

Answer:

8.5 for each student ticket

Step-by-step explanation:

Simply divide the total cost 42.5 by the amount of students 5 to get your answer.

42.5 / 5 = 8.5

Evaluate...................

Answers

The answer is 20 :)))
The answer would be 20!

Find the answer to 120% of 150

Answers

Step-by-step explanation:

180

hope it helps!

........

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