The graph below plots the values of y for different values of x:

Plot the ordered pairs 1, 8 and 2, 3 and 3, 0 and 4, 1 and 5, 2 and 6, 1

What is the correlation coefficient for the data plotted?

−0.9
−0.6
0.6
0.9

Answers

Answer 1

Answer:

-0.6

Step-by-step explanation:

we know that

The correlation coefficient is a measure of the strength of the straight-line or linear relationship between two variables. Correlation coefficients are expressed as values between +1 and -1

we have

(1,8),(2,3),(3,0),(4,1),(5,2),(6,1)

using a Excel tool (CORREL function)

see the attached table

The correlation coefficient is -0.68

The Graph Below Plots The Values Of Y For Different Values Of X:Plot The Ordered Pairs 1, 8 And 2, 3
Answer 2

Answer:

X Values

∑ = 21

Mean = 3.5

∑(X - Mx)2 = SSx = 17.5

Y Values

∑ = 15

Mean = 2.5

∑(Y - My)2 = SSy = 41.5

X and Y Combined

N = 6

∑(X - Mx)(Y - My) = -18.5

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -18.5 / √((17.5)(41.5)) = -0.6865

Meta Numerics (cross-check)

r = -0.6865


Related Questions

Need help with thisssssss

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter of a rectangle = 2l + 2w ( l is length and w is width )

given w = 63, then

2l + (2 × 63) = 324

2l + 126 = 324 ( subtract 126 from both sides )

2l = 198 ( divide both sides by 2 )

l = 99 m ← length of garden

-----------------------------------------------------------------

The area of a rectangle = lw ( l is length and w is width )

given l = 94, then

94w = 5828 ( divide both sides by 94 )

w = 62 cm ← width of window

A circular pizza with a diameter of 12 inches is cut along radii into three wedge-shaped slices. The measure of two of the central angles are 80 degrees and 130 degrees. What is the number of square inches in the area of the largest slice? (express your answer in terms of pi)

Answers

Answer:

A = 15π in²

Step-by-step explanation:

If two of the central angles are 80° and 130°, totalling 210°, then the third central angle must be (360° - 210°), or 150°.

Let's calculate the area of the entire pizza, whose diameter is 12 in and whose radius is therefore 6 in:

A = πr²  →  A = π(6 in)²  =  36π in².

The area of the largest slice, the one with central angle 150°, is

(150/360) times the total area of the pizza:

A = (150/360)(36π) in², or 15π in²

what is the interquartile range of 2 5 9 11 18 30 42 55 58 73 81

Answers

Answer:

49.

Step-by-step explanation:

A variable is four less than six times another variable. Express it as a function rule

Answers

Answer:    6x-4

Step-by-step explanation:  The number 6 is multiplied by another variable so it would be written as 6x and then 4 is less than whatever 6x is so it would be 6x-4.

find the percent 133% of 140

Answers

The answer would be 186.2.

Answer:

The correct answer is  133% of 140  = 186.2

Step-by-step explanation:

Points to remember

X % of Y is given by

(X/100)*Y

To find 133 % of 140

We have to find 133 % of 140,

According to the formula we can write,

133% of 140 = (133/100) * 140

 = 1.33 * 140

 = 186.2

133% of 140 = 186.2

Therefore the correct answer is  133% of 140  = 186.2

What is a1 for the geometric sequence for which a8= -3584 and a3 = 112 ?

Answers

Answer:

The first term is 28.

Step-by-step explanation:

Given: 8th term of Geometric sequence , [tex]a_8=-3584[/tex]

and 3rd term of Geometric Sequence, [tex]a_3=112[/tex]

We have to find First term of given geometric Sequence.

Let a be the first term of geometric sequence.

We know that,

[tex]a_n=ar^{n-1}[/tex]

So,

[tex]\frac{a_8}{a_3}=\frac{ar^{8-1}}{ar^{3-1}}=\frac{-3584}{112}[/tex]

[tex]\frac{r^{7}}{r^{2}}=-32[/tex]

[tex]r^5=-32[/tex]

[tex]r=-2[/tex]

So, [tex]a_3=112[/tex]

[tex]a\times(-2)^{2}=112[/tex]

[tex]a=\frac{112}{4}=28[/tex]

Therefore, The first term is 28.

A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism? Enter your answer in the box. ft³

Answers

For this case we have that by definition, the volume of a rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b}:[/tex] It is the area of the base

h: It's the height

According to the data we have:

[tex]length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}[/tex]

[tex]width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}[/tex]

Then:

[tex]A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}[/tex]

Thus, the volume is:

[tex]V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875[/tex]

Answer:

[tex]76.875 \ ft ^ 3[/tex]

( complex number )

i^223 is equal to?

Answers

[tex]\(i^{223}\)[/tex] is equal to -i.

To find the value of [tex]\(i^{223}\)[/tex], we can use the cycle of powers of i:

[tex]\(i^1 = i\), \(i^2 = -1\), \(i^3 = -i\)[/tex], and [tex]\(i^4 = 1\)[/tex]

The powers of i repeat every four steps.

Therefore, we can express [tex]\(i^{223}\)[/tex] in terms of [tex]\(i^4\)[/tex]:

[tex]\[i^{223} = (i^4)^{55} \cdot i^3\][/tex]

Since [tex]\(i^4 = 1\)[/tex] and [tex]\(i^3 = -i\)[/tex], we have:

[tex]\[i^{223} = 1^{55} \cdot (-i) = -i\][/tex]

How do you write the mixed number 3 2/4 shown as a fraction greater than one

Answers

Answer: 14/4

Step-by-step explanation:

since 4/4 is one three would be 12/4. Adding 2/4 to 12/4 is 14/4. So the answer is 14/4

3 2/4 as a mixed number is 14/4

3 multiplied by 4 is 12 and you just add 2 to that and it'll be 14/4

Can someone please help me

Answers

Answer:

L.A. = 384 cm²S.A. = 640 cm²

Step-by-step explanation:

Lateral Area:

We have four congruent triangles with base b = 16cm and height h = 12cm.

The formula of an area of a traingle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

Substitute:

[tex]A_\triangle=\dfrac{(16)(12)}{2}=(8)(12)=96\ cm^2[/tex]

[tex]L.A.=4A_\triangle=4(96)=384\ cm^2[/tex]

Surface Area:

[tex]S.A.=B+L.A.[/tex]

In the base we have the square with side s = 16cm. The formula of an area of a square:

[tex]A_\square=s^2[/tex]

Substitute:

[tex]B=16^2=256\ cm^2[/tex]

[tex]S.A.=256\ cm^2+384\ cm^2=640\ cm^2[/tex]

A car rental company charges $29 per day to rent a car and $0.15 per mile driven.

a) Write a rule for the total bill B as a function of the number of miles m the car is driven.

b) What is the bill for a 2-day rental if you drove 205 miles?

Answers

Answer:

A) C = 29*d + 0.15*m

B) C = $88.75

Step-by-step explanation:

Givens

Let the cost of the rental = C

Let the most of the daily rental = d

Let the cost of the mileage driven = m

Equation

Cost = 29*d + 0.15*m

C = 29*d + 0.15m

Part B

d = 2

m = 205

C = ?

C = 29*2 + 205*0.15

C = 58 + 30.75

C = $88.75

what is the answer to the equation Nora ran 5 miles last week. She ran 7 miles this week.
During the same two weeks, Beth ran three times as many miles as Nora.

Answers

Answer:

Week 1:  15

Week 2: 21

Step-by-step explanation:

5 x 3 = 15

7 x 3= 21

what is the quotient of the synthetic division problem below written in polynomial form?

Answers

Answer:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

Step-by-step explanation:

Let's perform the indicated synthetic division:

3  )   -2   15   -22   -15

                6    63   123

   -----------------------------

        -2    21    41     108

We take the first three coefficients of these results and use them to write a polynomial which represents the quotient:

-2x^2 + 21x + 41  with a remainder of 108  (Answer A)

ANSWER

D. [tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

EXPLANATION

We perform the synthetic division to get:

-2 15 -22 -15

3| -6 27 15

-2 9 5 0

From the synthetic division problem;

The coefficient of the quotient are the first three numbers.

-2, 9, 5

The last number 0 is the remainder

Since the coefficient of the quotient are three, it means the polynomial having 2 as the highest degree.

Therefore the quotient is:

[tex]q(x) = - 2 {x}^{2} + 9x +5[/tex]

Please help! Select the correct ordered pairs in the table.

Answers

Answer:

(-4, -12) (1, -2) (2, -18)

Step-by-step explanation:

We have a grade 3 polymial function.

We know that the function has a minimum at the point

(-3, -18).

If this is the minimum of the function then this means that when  [tex]x <-3[/tex]  the function is decreasing and when  [tex]x> -3[/tex]  the function is growing.

Look in the table for ordered pairs with values of x less than -3.

The only point is (-4, -12).

Then the function has a maximum in  ([tex]\frac{1}{3}[/tex], [tex]\frac{14}{27}[/tex])

This means that when  [tex]x> \frac{1}{3}[/tex]  the function is decreasing and when  [tex]x< \frac{1}{3}[/tex]  the function is growing.

Search the table for ordered pairs with values of x greater than [tex]\frac{1}{3}[/tex]

We have

(1, -2) (2, -18)

Finally the ordered pairs in which the function decreases are:

(-4, -12) (1, -2) (2, -18)

Observe the attached image.

Will mark brainliest and will give 15 points!!!!

There are 7 people on the ballot for regional judges. voters can choose to vote for 0,1,2, or 3 judges. In how many different ways can a person vote?

Answers

Answer:

There is 1 way to vote for 0 people. There are 8 ways to vote for 1 person. There are 8⋅7/ 2 ways to vote for 2 people. There are 8⋅7⋅6 /2⋅3 ways to vote for 3 people. There are 8⋅7⋅6⋅5/ 2⋅3⋅4 ways to vote for 4 people. This is all because you can choose people but there are ways you can order the people.  

Does this help

What is the rate of increase for the function f(x)= 1/3 (^3 √24)^2x

Answers

Answer

You need to simplify the function first until the exponent turns into a plain x. Step 1 Leave 1/3 alone that is the a value, initial value. You are looking for the base

Step 2 Deal with the parenthesis. Factor 24 and you will get 2 and the cube of 3. 

Step 3 Separate the exponent (2) (x)

Step 4 Now square each term inside the parenthesis

2 squared and cube of 3 square  the 2^2 will be 4, the other expression means  cube of 3 times cube of 3 and that's cube of 9

Step 5 Your base should be (4 cube of 9)

f'(x) = C, indicating a constant rate of increase.

The function given is f(x) = (1/3) * ((³√24)²) * x.

To find the rate of increase (or the derivative of this function), we need to rewrite the function in a simpler form. Firstly, simplify the constant:

(1/3) * ((³√24)²) * x can be simplified as a single constant C.

Let's break it down:

³√24 = 24¹/³, so (³√24)² = (24¹/³)² = 24²/³.

Next, we multiply this by 1/3:

C = (1/3) * 24²/³

Now the function becomes:

f(x) = C * x

This is a linear function where C is a constant coefficient. Therefore, the rate of increase (or the derivative) of f(x) with respect to x is just the constant C.

We then find the derivative:

f'(x) = C

As there are no x terms left, the rate of increase is constant and equal to C, which is (1/3)*24²/³.

1Kg of grapes cost 5.80 Meagan buys 700 grames of grapes how much does she pay

Answers

Meagan pay 4.60

Step-by-step explanation:

1kg------5.80

700g----X

700x5.80=4.60/1=4.60

Final answer:

To find the cost of 700 grams of grapes, divide the cost of 1 kilogram by 1000 to get the price per gram, then multiply by 700. Meagan pays $4.06 for 700 grams of grapes.

Explanation:

To calculate how much Meagan pays for 700 grams of grapes when 1 kilogram (1000 grams) of grapes costs $5.80, we first find out the cost per gram. Then we multiply the cost per gram by the amount of grams Meagan is buying.

The cost per gram is: $5.80 / 1000 grams = $0.0058 per gram.

So for 700 grams, Meagan pays: $0.0058 per gram × 700 grams = $4.06.

Therefore, the cost of 700 grams of grapes is $4.06.

help me only on thang to do.... :O :)

Answers

It is:

Any number that is less than 3.5 is a solution

There are infinite number of solutions.

The  graph with a white colored dot

I hope I get brainly on both questions :)

he variable y is directly proportional to the variable x . If y = 10 when x = 6, what is the value of y when x = 15?
A) 20.5
B) 25
C) 30
D) 35
i need help asap

Answers

Answer:

B. 25

Step-by-step explanation:

10+6=16

if it is proportional, then it would be 25 to get 15.

Answer:

25

Step-by-step explanation:

y = kx

10 = 6k

5

3

= k

y =

5

3

(15)

y = 25

give two equivalent fractions for 6/8​

Answers

Step-by-step explanation:

[tex]\dfrac{6}{8}=\dfrac{6:2}{8:2}=\dfrac{3}{4}\\\\\dfrac{6}{8}=\dfrac{6\cdot2}{8\cdot2}=\dfrac{12}{16}\\\\\dfrac{6}{8}=\dfrac{6\cdot3}{8\cdot3}=\dfrac{18}{24}\\\\\dfrac{6}{8}=\dfrac{6\cdot4}{8\cdot4}=\dfrac{24}{32}\\\\\dfrac{6}{8}=\dfrac{6\cdot5}{8\cdot5}=\dfrac{30}{40}\\\vdots[/tex]

At 10:00 AM a truck started traveling from point A with a speed of 40mph. 3 hours and 10 minutes later a car started to drive from point A in the same direction with an average speed of 60mph. At what time will the car catch up with the truck?

Answers

Answer:

12:07 pm

Step-by-step explanation:

The question is on relative speed

Calculate the distance covered by truck after 3hours and 10 minutes

Given; speed of truck= 40mph

Time the truck took to travel before the car started to drive from point A= 3h 10 minutes

Change hours to minutes= (60×3) + 10 = 190 minutes

Formulae for speed, S=d/t where S is speed of truck, d is distance covered and t is time

if S=d/t then distance d=S×t

d= 40×190/60 =380/3 =126.67 miles

Finding the time the car catch up with the truck

t=d/S where d=126.67 miles and speed of car = 60mph

t= 126.67/60 = 2.11 hours

Change hours to minutes

1 hr=60minutes

2.11 hrs= 2.11×60=126.67 minutes⇒2hrs and 6.67 minutes

t⇒2 hrs 7minutes

Add to the departure  time

10.00 + 2: 07 = 12:07 pm

pLEASE HELP! If z varies inversely as w, and z=5 when w=8, find z when w=10

Answers

z=4. If z varies inversely as w, and z=5 when w=8, then when w=10 the value of z is 4.

This exercise is an example of  reverse proportionality, Two magnitudes a and b are inversely proportional when there is a constant k such that

a⋅b=k, where constant k is called the proportionality constant.

Then if z varies inversely as w, and z=5 when w=8

z.w=k -------> 5.8=k -------> k=40

So, let's find z when w = 10. With k = 40

z.w=K, clear z from the equation

z=k/w -------> z=40/10 -----> z=4

Final answer:

To find z when w = 10 in an inverse variation equation, we can use the equation z = k/w. By substituting the given values and solving for the constant of variation, we find that when w = 10, z = 4.

Explanation:

To find the value of z when w is 10, we need to use the inverse variation equation. Inverse variation is represented by the equation z = k/w, where k is the constant of variation.

Given that z = 5 when w = 8, we can substitute these values into the equation to find k. 5 = k/8. Solving for k, we get k = 40.

Now, we can substitute the value of k and w = 10 into the equation z = k/w. z = 40/10 = 4. Therefore, when w = 10, z = 4.

what is the absolute value of 1.7​

Answers

Answer:

|1.7| = 1.7

Step-by-step explanation:

Definition of absolute value:

|a| = a if a ≥ 0

|a| = -a if a < 0

Examples:

|2| = 2

|-2| = -(-2) = 2

|0.45| = 0.45

|-0.45| = -(-0.45) = 0.45

|1000| = 1000

|-1000| = 1000

Therefore

|1.7| = 1.7

A chef made 30 donuts in 60 minutes. How long would it take him to
make 90 donuts?

Answers

[tex]\bf \begin{array}{ccll} donuts&minutes\\ \cline{1-2} 30&60\\ 90&x \end{array}\implies \cfrac{30}{90}=\cfrac{60}{x}\implies \cfrac{1}{3}=\cfrac{60}{x}\implies x=180[/tex]

Answer: 180 minutes

Step-by-step explanation:

Cross multiply

90*60 = 5400

5400/30 = 180

Find the area of a rectangle whose side lengths are 4x*2and 6x*2-3

Answers

Answer:

24x^4- 12x^2  or 12x^2 (2x^2-1)

Step-by-step explanation:

We are given the length and width of the rectangle:

Length=l=4x^2

and

Width=w=6x^2-3

The formula for the area of rectangle is:

Area=length*width

Area=l*w

Putting the values of l and w into the formula:

area=(4x^2 )(6x^2-3)

=24x^(2+2)-12x^2

=24x^4- 12x^2

It can also be written as: taking 12x^2 as common:

=12x^2 (2x^2-1)

help me pls
this is 20 characters now btw brainly

Answers

Answer: I believe the correct answer is A. Because 2/3 is negative so it belongs on the negative side of the number line. And 5/3 is positive so it belongs on the positive of the number line.

* Hopefully this helps:) Mark me the brainliest:)

∞ 234483279c20∞

what is the measure of secant dc​

Answers

Answer:

CD = 3

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

CB × CA = CD × CE , that is

4 × (4 + 6.5) = CD × 14

4 × 10.5 = 14CD

42 = 14CD ( divide both sides by 14 )

CD = 3

What is the median?

637743

Answers

Answer:

5

Step-by-step explanation:

Put the numbers in order then find the middle number. 334677

Here there are two middle numbers, 4, and 6. Add 4 and 6 together, 10 then divide by 2, 5. So the median is 5! Hope this was helpful have a Great day!!!

ashley has 1.75 liters of water to use in a science experiment.If she pours equal amount of water in each 5 beaker, how many milliliters of water will be in each beaker?​

Answers

Simply divide 1.75 by 5 to find that 0.35 mL of water will be in each beaker.

Which of the following is a reasonable estimate for the weight capacity of an elevator that can carry up to 15 people?
A.
3 × 103 lb
B.
3 × 102 lb
C.
3 × 10-3 lb
D.
3 × 10-2 lb

Answers

A is the most common

are they supposed to look like 1x10^-20 lb?? that would make it easier for you to determine the answer

i hope this helps

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