5. If the covariance between the variables x and y is 18 and the variance
of x and y are 16 and 81 respectively. Find the coefficient of
correlation.​

Answers

Answer 1

Answer:

The coefficient of  correlation=0.5

Step-by-step explanation:

We are given that

Covariance between the variable  x and y=18

Variance of x=16

Variance of y=81

We have to find the coefficient of correlation

We know that

Coefficient of correlation

[tex]r=\frac{covariance(x,y)}{\sqrt{variance(x)}\times \sqrt{variance(y)}}[/tex]

Using the formula

[tex]r=\frac{18}{\sqrt{16}\times \sqrt{81}}[/tex]

[tex]r=\frac{18}{4\times 9}[/tex]

[tex]r=0.5[/tex]

Hence, the coefficient of  correlation=0.5


Related Questions

King Soopers has two different sizes of sport drinks. Sigi wanted to make sure that he got the size with the better price. There was one that was 35 Fl Oz. for $1.29 and the other was 24 Fl Oz. for $1.20. Which size is the better buy?
I will give you brainliest

Answers

$1.29/(35 oz) = $0.043/oz
$1.20/(24 oz) = $0.05/oz
The 35-oz drink is a better buy.

Think you can balance this scale?

Answers

Answer:D is the answer

Yes. balancing an unknown mass against a known mass.

Explanation:

Hope it helps

#CARRYONLEARNING

Find the value of x that makes N the Incenter of the triangle

Answers

Answer:

um im not 100% but i think 47

Step-by-step explanation:

The value of x for the given triangle is found to be 6.

What is Pythagoras theorem?

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

Given triangle has N as the incentre.

Which implies that NJ = NL= NK.

Now, apply Pythagoras theorem in ΔANK to obtain,

AN² = AK²+ NK²

=> 37² = 35² + NK²

=> NK²= 37²- 35²

=> NK²= 144        

=> NK = 12

Then, As per the question it can be written as,

2x = 12

=> x = 6

Hence, the value of x for the point N to be the incentre is 6.

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solve each equation for given variable
-5i– 25 = 25

Answers

Answer:

-4

Step-by-step explanation:

-5i - 25 = 25

+25. +25

-5i = 50/-5

i = -4



Help pleaseee I need some assistance right now

Answers

Answer:

69°

Step-by-step explanation:

if CA and AT are congruentsides, this means that the angle of C and T must also be the same.

In order for a triangle to be a triangle, they must meet the angle of 180 degrees.

We know CAT is = to 42

So we subtract 42 from 180 = 138 degrees

we then divide 138 by 2 and we get 69

angles c + t are both 69 degrees

Answer:

69°

Step-by-step explanation:

The measure of angle A is given as 42 and the sum of interior angles in a triangle is equal to 180° we subtract 42 from 180 and divide the result with 2 because this is an Isosceles triangle since |AC| = |AT| m<C = m<T

(180 - 42) ÷ 2 = 69°

PLEASE HELP ME 20 POINTS + BRAINLIEST

Answers

The answer is 185.43m

3a+2b-8a+b
What is the answer

Answers

(3a) - (8a) = -5a
2b + b = 3b
-5a + 3b

Step-by-step explanation:

3a+2b+8a-b

Combine like terms

Like tems are 3a and -8a

3 a - 8 a = -5a

-5a +2b+ b

combine like terms

2b +b = 3b

therefore the answer is

-5a + 3b

Hope it helpful

what is the distant between (3,24) and (7,56)

Answers

im pretty sure you just subtract (4,32)

On a certain hot summer day, 738 people used the public swimming pool.The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled 1306.00 .How many children and how many adults swam at the public pool that day?

Answers

Answer:

A = 340 adult.

C = 398 children.

Step-by-step explanation:

Let the number of children be C

Let the number of adults be A

Translating the word problem into an algebraic equation, we have;

A + C = 738  .......equation 1

1.5C + 2C = 1306  .......equation 2

A = 738 - C .......equation 3

Substituting eqn 3 into eqn 2, we have;

1.5(738 - C) + 2C = 1306

1107 - 1.5C + 2C = 1306

1306 - 1107 = 2C - 1.5C

199 = 0.5C

C = 199/0.5

C = 398 children.

Now, to find the value of A.

From equation 3;

A = 738 - C

A = 738 - 398

A = 340 adult.

Which names the function for the following arithmetic series 11,7,3,-1

Answers

Answer:

Arithmetic sequence

Step-by-step explanation:

This is an arithmetic sequence, since each new term is obtained by subtracting 4 from the previous term.

What is the value of (4/3)^3

Answers

Answer:

64/27 = 2.37037037

Step-by-step explanation:

(4/3)^3

Calculate 4/3 to the power of 3 and get 64/27

64/27

What is the common ratio of 7, -14, 28, -56

Answers

Answer:

multiplied by -2 I believe

Step-by-step explanation:

whats warmer -3 or -4 degree celcius

Answers

-3 degrees Celsius because -3 is larger than -4. If you look at a number line with negatives you will see that the -3 is closer to the zero therefor it’s larger

In a certain year, about 11/5000 of a country’s population were female nursing home residents and about 7/5000 of a country’s population were male nursing home residents. Find the total fraction of the county’s population that was residing in nursing homes that year

Answers

Answer:

18/5000 or 9/2500

Step-by-step explanation:

Since we know both male and female nursing home residents, we can just add the two together to find the total.

A train moves at a speed of 280 feet in 30 seconds.How far did it travel in 1 minute?(pls help asap!)

Answers

Answer: A

Step-by-step explanation:

270/30

270÷30 = 9

30÷30 = 1

Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median

Answers

Answer:

Sample median appears to be an unbiased estimator of the population median

Step-by-step explanation:

The sample median appears to be centered near 16

The required sample median appears to be an unbiased estimator of the population median

What are dot plots?

A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.

Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.

When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.

Learn more about dot plots here:
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describe how to obtain the graph of g from the graph of f(x)=
[tex] \sqrt[3]{x} [/tex]

Answers

Answer:  see below

Step-by-step explanation:

Notes: Given  [tex]y=a\sqrt[3]{x-h}+k[/tex]

h: shifts to the right (if positive) or left (if negative)k: shifts up (if positive) or down (if negative)a: is a vertical stretch (if >1) or shrink (if <1)-a: reflection over the x-axis

11) h = -1, k = -2

     shifts left 1 unit and down 2 units from the parent function

12) h = 1, k = 5

     shifts right 1 unit and up 5 units from the parent function

13)  k = 1, a = -1

     shifts down 1 unit from the parent function and reflects over the x-axis

14) h = -1, k = 5

     shifts left 1 unit and up 5 units from the parent function

The ratio of sheep to the total number of animals on a local farm is 2:5.
Which of the following is the percent of animals on the farm that are
sheep?
29%
60%
40%
20%
*says the correct answer is 29%

Answers

Answer:

40%

Step-by-step explanation:

2:5 is equal to 4:10 or 40%.

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

--> Its not 29% its 40%

hope it helps you,

mark me as the brainliest....

Follow me!

The legs of a right triangle measure 5 inches and 9 inches.

What is the measure of the smallest angle of the triangle?

Enter your answer, rounded to the nearest tenth of a degree, in the box.

Answers

Answer:

29.1

Step-by-step explanation:

Use logic.

Jk. Tan(x) = 5/9 so x = tan^-1(5/9)

Use a graphing calculator in degrees mode.

The measure of the smallest angle of the triangle would be equal to 29.1

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that the legs of a right triangle measure 5 inches and 9 inches.

We need to find the measure of the smallest angle of the triangle

Tan(x) = 5/9

Therefore, we have;

x = tan^-1(5/9)

x = 29.1

Learn more about trigonometric;

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What is the solution set for 7x - 3= 18, given the replacement set {0. 1. 2. 3. 4}?
0x=0
ox=1
x=2
X=3

Answers

Answer:

ANSWER IS X=3

Step-by-step explanation:

7(3)-3=18 So 7 times 3 minus 3 equals 18

Answer: it is x=3 and i have proof

Step-by-step explanation:

PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a

#2) -p^6

#3) 5n^2

#4) -10n^4+9-7n^5+n^6

Answers

Answer & Step-by-step explanation:

#1)  3a+2    

#2) Please tell me what you need to find for this one in the comments

#3) Please tell me what you need to find for this one in the comments          

#4) n^6−7n^5−10n^4+9

Hope this helps ;)

mary ann is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will set post 5 feet apart. How many post will she need?​

Answers

Answer:

28

Step-by-step explanation:

find perimeter (25 + 25 + 45 + 45 = 140)

divide your perimeter by 5 (140 ÷ 5 = 28)

therefore you need 28 fence posts

PLEASE HELP GEOMETRY

Answers

Answer:

Step-by-step explanation:

[tex]\frac{6}{18+6}= \frac{x}{8 }[/tex]

24x=48

x=2

lily bought a hockey stick priced at $75 but it was on sale for 25% after 10% sales tax,what is the total cost? I NEED HELPPPPPPPPPPPPPPP

Answers

75 times .25=18.75
75 minus 18.75=
56.25 because that was the discount so then 56.25 times .10= 5.63
56.25+5.63= $61.88<— this is the final answer and also u added the 5.63 because that was the sales tax and for sales tax u always add and for discount u always subtract, hope this helps!

A train travels at an average speed of 35m/s. workout the time it takes to travel 225km?

Answers

Answer:

Step-by-step explanation:

d = rt

225km = 225,000m

225,000 = 35*t

t = 6,428.57 seconds

or 107.14 minutes

or 1 hour and 47 minutes

Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?

Answers

Answer:

48 cuts and styles

Step-by-step explanation:

 

Moshde needs to make 48 haircuts and style per month to save $1,200.

Moshde makes $45 per haircut and yet incurs $960 in expenses every month.

She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.

The formula to find out the number of cuts she needs to make is:

= (Monthly expenses + Desired profit) / Profit per cut

= (960 + 1,200) / 45

= 2,160 / 45

= 48 hair cuts and style

In conclusion, Moshde needs to make 48 haircuts per month.

Find out more at https://brainly.com/question/13400675.

show the working pls :))

Answers

Answer:

$ 78.68

Step-by-step explanation:

The following data were obtained from the question:

Pay >>>>>>>>>> Frequency

40 – 59 >>>>>> 15

60 – 79 >>>>>> 58

80 – 99 >>>>>> 27

100 – 119 >>>>> 22

Mean pay =?

Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:

L => is the lower pay interval

U => is the upper pay interval

Pay >>>>>>>>>> Class pay [(L+U)/2)]

40 – 59 >>>>>> 49.5

60 – 79 >>>>>> 69.5

80 – 99 >>>>>> 89.5

100 – 119 >>>>> 109.5

Thus, the table becomes

Pay >>>>>> Class pay >> Frequency

40 – 59 >> 49.5 >>>>>>> 15

60 – 79 >> 69.5 >>>>>>> 58

80 – 99 >> 89.5 >>>>>>> 27

100 – 119 > 109.5 >>>>>> 22

The mean pay can be obtained as follow:

Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)

= 742.5 + 4031 + 2416.5 + 2409

= 9599

Summation of frequency (ΣF) = 15 + 58 + 27 + 22

= 122

Mean pay = ΣCF / ΣF

ΣCF = 9599

ΣF = 122

Mean pay = 9599 / 122

Mean pay = $ 78.68

Therefore, the mean pay is $ 78.68

solve the triangles. Round to the nearest tenth А 7 B 6 C​

Answers

Answer:

Sure but can you show me the triangle.

A triangle has the length of 8.3 and a height of 6.4. What is the area?

Answers

Answer:

Formula Bh x 1/2, so 26.56 is your answer

Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56

Answer:

26.56

Step-by-step explanation:

The expression (x - 0.35x) represents 35% off the cost of item x. How is this equivalent to multiplying x by 0.65?

Answers

Answer:

It is equivalent.

Step-by-step explanation:

(x-0.35x) is (Total price-0.35 × the original price)=0.65×

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