The table below shows the age of some participants in a quiz competition and the number of questions they could answer correctly: Age (years) (x) 15 21 17 22 16 19 18 Number of questions they could answer (y) 17 17 17 17 17 17 17 What is the correlation coefficient for the data, and what does it represent? (5 points) 0; it represents no correlation between x and y 1; it represents a linear positive correlation between x and y −1; it represents a linear negative correlation between x and y 1; it represents a linear negative correlation between x and y

Answers

Answer 1

Your answer is:

A) 0; it represents no correlation between x and y

keep dreaming


Related Questions

josue bought 7 pounds of pretzels at a local wholesaler for $16.80. his friend ricardo bought 5 pounds of pretzels at the supermarket for $12.75. Ricardo thinks he got the better deal because $12.75 is less than $16.80. Is Ricardo's reasoning correct? Explain why or why not.

Answers

(josue) 16.8/7 = $2.4 per lb
(ricardo) 12.75/5 = $2.55 per lb

ricardo is incorrect because if you solve for the price per pound ( price/amount ), josue paid $2.40 for each pound of pretzels while ricardo paid $2.55 per pound. ricardo ended up paying more.

find the greatest number than divides 45 60 75 without leaving remainder​

Answers

Answer:

15

Step-by-step explanation:

15 is the greatest number that divides 45 60 75 without leaving remainder

Answer:

15

Step-by-step explanation:

Let write the factors of each number:

45: (1,3,5,9,15,45)

60:(1,2,3,4,5,6,10,12,15,20,30,60)

75:(1,3,5,15,15,75).

The greatest common factor is 15. So the answer is 15.

What is the variable used in the equation 5x + 2 =100?​

Answers

Answer:

[tex]5x + 2 = 100 \\ 5x = 100 - 2 \\ 5x = 98 \\ x = \frac{98}{5} \\ x = 19.6[/tex]

Answer: the answer would be x because that's the actual variable in the question then if 19.6 was not an option

Step-by-step explanation:

Please help!!! what is x: |6n+7|=8

Answers

Answer:

-5/2, 1/6

Step-by-step explanation:

|6n+7|=8

6n+7=8

n=1/6

6n+7=-8

n=-5/2

Answer:

[tex]n=-\frac{5}{2}[/tex] and [tex]n=\frac{1}{6}[/tex]

Step-by-step explanation:

There is no x variable present in the question, but if you are asking for the value of n, I can help with that.

The absolute value function always results in a positive number, so that means 6n+7 can equal 8 or negative 8, and the absolute value function takes care of the rest. First, we will solve for 6n + 7 equaling 8.

[tex]6n+7=8[/tex]

Subtracting 7 from both sides gets us

[tex]6n=1[/tex]

Dividing by 6 from both sides is equal to

[tex]n=\frac{1}{6}[/tex]

Now we will solve for 6n + 7 equaling negative 8.

[tex]6n+7=-8[/tex]

Subtracting 7 from both sides is equal to

[tex]6n=-15[/tex]

Dividing by 6 from both sides gets us

[tex]n=-\frac{15}{6}[/tex]

Simplifying, we have

[tex]n=-\frac{5}{2}[/tex]

I need help really bad

Answers

Answer:

1 ???????

Step-by-step explanation:

find the h.c.f of 2⁴×3×5²×7,5²×3²×5​

Answers

Answer:

To find the HCF we multiply the numbers in the overlapping quadrant together:

Step-by-step explanation:

Find the bases for Col A and Nul​ A, and then state the dimension of these subspaces for the matrix A and an echelon form of A below.
A= 1 3 8 2 7 1 3 8 2 7
2 7 20 6 20 --- 0 1 4 2 6
-3 -12 -36 -7 -19 0 0 0 1 4
3 13 40 9 25 0 0 0 0 0
Start 4 By 5 Table 1st Row 1st Column 1 2nd Column 3 3rd Column 8 4st Column 2 5st Column 7 2nd Row 1st Column 2 2nd Column 7 3rd Column 20 4st Column 6 5st Column 20 3rd Row 1st Column negative 3 2nd Column negative 12 3rd Column negative 36 4st Column negative 7 5st Column negative 19 4st Row 1st Column 3 2nd Column 13 3rd Column 40 4st Column 9 5st Column 25 EndTable
tilde
Start 4 By 5 Table 1st Row 1st Column 1 2nd Column 3 3rd Column 8 4st Column 2 5st Column 7 2nd Row 1st Column 0 2nd Column 1 3rd Column 4 4st Column 2 5st Column 6 3rd Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 1 5st Column 4 4st Row 1st Column 0 2nd Column 0 3rd Column 0 4st Column 0 5st Column 0 EndTable
A basis for Col A is given by
StartSet nothing EndSet
​(Use a comma to separate vectors as​ needed.)
The dimension of Col A is
3.
A basis for Nul A is given by
StartSet nothing EndSet
​(Use a comma to separate vectors as​ needed.)
The dimension of Nul A .

Answers

Answer:

skip counting by 0

Step-by-step explanation:

skipcount by 0 to get to 100 for the third column.

Answer:

its the first graph

Step-by-step explanation:

I got it right bc im cool like that ig

4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are
shown below. For which flowerbeds does Eric have enough fencing? Color in all the
possible answers.
A.
length = 30 yards
area = 300 square yards
B.
length = 20 yards
width = 5 yards
C.
width = 12 yards
perimeter = 48 yards
D.
length = 26 yards
width = 22 yards
E.
length = 16 yards
width = 14 yards
F.
width = 9 yards
area = 162 square yard

Answers

Answer:

B,C,F

Step-by-step explanation:

A=L*W

P=2L+2W

P≤54

for A, 2L is already greater than 60

B works as 2W+2L in this case is 50

C states that perimeter is less than 54

D doesn't work, as 2L+2W=96

E doesn't work, see above, P=60

F, area=W*L

162/9=18

L=18

2L+2W=48, so F works

Answer:

trả lời:

B,C,F

Giải thích từng bước:

A = L * W

P = 2L + 2W

Trang ≤54

đối với A, 2L đã lớn hơn 60

B hoạt động như 2W + 2L trong trường hợp này là 50

C nói rằng chu vi nhỏ hơn 54

D không hoạt động, vì 2L + 2W = 96

E không hoạt động, xem ở trên, P = 60

F, diện tích =W*L

162/9=18

L =18

2L + 2W = 48, vì vậy F hoạt động

Factorize:
625a^4 + 4b^4​

Answers

(625 • (a4)) + 22b4

54a4 + 22b4

Final result :

625a4 + 4b4

Let S be a set of linearly dependent vectors in Rn. Select the best statement. A. The set S could, but does not have to, span Rn. B. The set S spans Rn, as long as no vector in S is a scalar multiple of another vector in the set. C. The set S cannot span Rn. D. The set S must span Rn. E. The set S does not span Rn if some vector in S is a scalar multiple of another vector in the set. F. The set S spans Rn, as long as it does not include the zero vector. G. none of the above

Answers

Answer:

The set S could, but does not have to, span Rn   ( A )

Step-by-step explanation:

Assume S is a set of linearly dependent vectors in Rn

The best statement from the options is ; The set S could, but does not have to, span Rn

This is because S could span Rn ( as stated in option c ) but will  not necessary span Rn ( as seen in option D )

What is the range of the function shown in the graph below?

Answers

Answer:

Step-by-step explanation:

Hey there!

The range is the possible y values, so the range of this graph would be all real numbers less than or equal to -5.

Let me know if this helps :)

Which of the following fractions is closest to 0? 5/12 , 2/3, 5/6,3/4

Answers

Answer:

5/12

Step-by-step explanation:

5/12 , 2/3, 5/6,3/4

Get a common denominator of 12

5/12, 2/3 *4/4, 5/6*2/2, 3/4 *3/3

5/12, 8/12, 10/12, 9/12

The numerator closest to 0 is the fraction closest to 0

5/12

Write the equation of a line in slope intercept form that passes through the two points. (-1,3) and (2,9)

Answers

Answer:

[tex]y = 2x +5[/tex]

Step-by-step explanation:

Finding the Slope:

m = rise/run

[tex]m=\frac{9-3}{2-(-1)}=\frac{6}{3}=\boxed{2}[/tex]

The slope is 2.

Finding the y-intercept:

[tex]y = 2x + b\\\\9 = 2(2) + b\\\\9 = 4 + b\\\\9 - 4 = 4 - 4 + b\\\\\boxed{ 5 = b}[/tex]

The y-intercept is (0,5).

The equation should be: [tex]y = 2x +5[/tex].

Hope this helps.

Answer:

y = 2x+5

Step-by-step explanation:

To find the equation in slope intercept form, we first have to find the slope of the two points.

The formula for finding the slope is:

[tex]\frac{y2-y1}{x2-x1}[/tex]

We are given the points:

(-1, 3) and (2, 9)

x1, y1 and x2, y2.

[tex]\frac{9-3}{2-(-1)}[/tex]

[tex]\frac{6}{3}[/tex] or 2 (the slope).

The slope intercept form is written as:

y= mx + b

y=2x+b

To find b, we can plug in either of the points given. Personally, I like to work with positive numbers. I'll be using the point (2, 9), however, either point will get you to the same answer.

y=2x+b

9=2(2)+b

9=4+b

Now subtract 4 from both sides.

5=b

Which then leaves us with the equation:

y = 2x+5

Max needs to paint a wall that is shaped like a square. He knows that the area of the wall is 75 ft2 . He needs to find the height of the wall. Find the height of the wall to the nearest tenth of a foot.

Answers

Answer:

8.7 feet

Step-by-step explanation:

Use the square area formula, a = s², where s is the side length of the square.

Plug in the area and solve for s:

a = s²

75 = s²

√75 = s

8.7 = s

So, to the nearest tenth of a foot, the height is 8.7 feet

For a standard normal distribution, find:

P(z > c) = 0.058

Find c.

Answers

Answer:

1.572

Step-by-step explanation:

For a standard normal distribution,

P(z > c) = 0.058

To obtain C ; we find the Zscore corresponding to the proportion given, which is to the right of the distribution ;

Using technology or table,

Zscore equivalent to P(Z > c) = 0.058 is 1.572

Hence, c = 1.572

Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. (Enter your answer using interval notation. Round your answers to three decimal places.) 1/((1 + 9x)^4) ≈ 1 − 36x

Answers

Answer:

Part 1)

See Below.

Part 2)

[tex]\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)[/tex]

Step-by-step explanation:

Part 1)

The linear approximation L for a function f at the point x = a is given by:

[tex]\displaystyle L \approx f'(a)(x-a) + f(a)[/tex]

We want to verify that the expression:

[tex]1-36x[/tex]

Is the linear approximation for the function:

[tex]\displaystyle f(x) = \frac{1}{(1+9x)^4}[/tex]

At x = 0.

So, find f'(x). We can use the chain rule:

[tex]\displaystyle f'(x) = -4(1+9x)^{-4-1}\cdot (9)[/tex]

Simplify. Hence:

[tex]\displaystyle f'(x) = -\frac{36}{(1+9x)^{5}}[/tex]

Then the slope of the linear approximation at x = 0 will be:

[tex]\displaystyle f'(1) = -\frac{36}{(1+9(0))^5} = -36[/tex]

And the value of the function at x = 0 is:

[tex]\displaystyle f(0) = \frac{1}{(1+9(0))^4} = 1[/tex]

Thus, the linear approximation will be:

[tex]\displaystyle L = (-36)(x-(0)) + 1 = 1 - 36x[/tex]

Hence verified.

Part B)

We want to determine the values of x for which the linear approximation L is accurate to within 0.1.

In other words:

[tex]\displaystyle \left| f(x) - L(x) \right | \leq 0.1[/tex]

By definition:

[tex]\displaystyle -0.1\leq f(x) - L(x) \leq 0.1[/tex]

Therefore:

[tex]\displaystyle -0.1 \leq \left(\frac{1}{(1+9x)^4} \right) - (1-36x) \leq 0.1[/tex]

We can solve this by using a graphing calculator. Please refer to the graph shown below.

We can see that the inequality is true (i.e. the graph is between y = 0.1 and y = -0.1) for x values between -0.179 and -0.178 as well as -0.010 and 0.012.

In interval notation:

[tex]\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)[/tex]

A person's email for one day contained a total of 78 messages. The number of spam
messages was two less than four times the number of other messages. How many of
the email messages were spam?

Answers

Answer:

62 of the email messages were spam

Step-by-step explanation:

Let the number of spam and other messages be s and o respectively.

Total number of messages= 78

s +o= 78 -----(1)

s= 4o -2 -----(2)

Substitute (2) into (1):

4o -2 +o= 78

Simplify:

5o -2= 78

+2 on both sides:

5o= 78 +2

5o= 80

Divide both sides by 5:

o= 80 ÷5

o= 16

Since s +o= 78, s= 78 -o.

s= 78 -16

s= 62

Write 55% as a fraction in simplest form

Answers

Answer:

11/20

Step-by-step explanation:

Help please:)) 2. When shipping ice cream, melting is understandably a big concern. You will notice that ice cream is not generally packaged in a cube-shaped container. A standard container of ice cream contains 1 L, or 1000 cm3 of ice cream,

a. What would be the optimal dimensions (radius and height) to minimize surface area?

b. What would the surface area be?

C. Suggest at least two reasons why this is different from the ice cream packaging that you see in the stores.​

Answers

Answer:

a. The radius r = 5.42 cm and the height h = 10.84 cm

b. 553.73 cm²

c. i. Beauty ii. Design

Step-by-step explanation:

a. What would be the optimal dimensions (radius and height) to minimize surface area?

The volume of the standard container is a cylinder and its volume is V = πr²h where r = radius of container and h = height of container.

Since V = 1000 cm³,

1000 cm³ = πr²h  (1)

Now, the surface area of a cylinder is A = 2πr² + 2πrh where r and h are the radius and height of the cylinder.

From (1), h = 1000/πr².

Substituting h into A, we have

A = 2πr² + 2πrh

A = 2πr² + 2πr(1000/πr²)

A = 2πr² + 2000/r

To maximize A, we differentiate A with respect to r and equate to zero to find the value of r at which A is maximum.

So, dA/dr = d[2πr² + 2000/r]/dr

dA/dr = d[2πr²]/dr + d[2000/r]/dr

dA/dr = 4πr - 2000/r²

Equating the equation to zero, we have

4πr - 2000/r² = 0

4πr = 2000/r²

r³ = 2000/4π

r = ∛(1000/2π)

r = 10(1/∛(2π))

r = 10(1/∛(6.283))

r = 10/1.8453

r = 5.42 cm

To determine if this value of r gives a minimum for A, we differentiate dA/dr with respect to r.

So, d(dA/dr)/dr = d²A/dr²

= d[4πr - 2000/r²]/dr

= d[4πr]/dr - d[2000/r²]/dr

= 4π  + 4000/r³

Substituting r³ = 2000/4π into the equation, we have

d²A/dr² = 4π  + 4000/r³ = 4π  + 4000/(2000/4π) = 4π  + 2 × 4π = 4π + 8π = 12π > 0

Since d²A/dr² = 12π > 0, then r = 5.42 cm gives a minimum for A.

Since h = 1000/πr²

h = 1000/π(5.42)²

h = 1000/92.288

h = 10.84 cm

So, the radius r = 5.42 cm and the height h = 10.84 cm

b. What would the surface area be?

Since the surface area, A = 2πr² + 2πrh

Substituting the values of r and h into A, we have

A = 2πr² + 2πrh

A = 2πr(r + h)

A = 2π5.42(5.42 + 10.84)

A = 10.84π(16.26)

A = 176.2584π

A = 553.73 cm²

c. Suggest at least two reasons why this is different from the ice cream packaging that you see in the stores.​

i. Beauty

ii. Design

If x+7 is an even number, is x+11 an even number or odd number?

Answers

Answer:

x + 11 is an even number.

Step-by-step explanation:

Even numbers can only be obtained from the sum of two odd numbers or two even numbers. Since we know that x + 7 is even, x + 11 must be even as well.

Fatima purchased a new mattress when it was on sale. The sale price was 27% less than the regular price. If the sale price was $409, what was the original price? (Round your answer to the nearest dollar).

Answers

Answer:

560

Step-by-step explanation:

Let x be the original price

27% off

original price minus discount = new price

x - .27x = new price

.73x = new price

.73x = 409

Divide each side by .73

.73x/.73 = 409/.73

x=560.2739726

To the nearest dollar

x = 560

4x+6=10. what is the value of x?

Answers

Answer:

1

Step-by-step explanation:

4x+6=10

4x=4

x=1

Answer:

[tex]4x + 6 = 10[/tex]

[tex]4x = 10 - 6[/tex]

[tex]4x = 4[/tex]

[tex]x = \frac{4}{4} [/tex]

[tex]x = 1[/tex]

hope this helps you

Graph the image of this triangle after a dilation with a scale factor of 1/2 centered at (−5, 1).

Answers

View attachment below:

please helpppp.
Which of these could be the graph of F(x) = In x + 3?

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

c

Step-by-step explanation:

Try desmos

The Answer should be graph c

A route up a mountain is 20 Km long. john followed this route at an average speed of xkm/h. write down an expression in terms of x,for the number of hours he took to walk up the mountain.​

Answers

Answer:

20/x

Step-by-step explanation:

speed = distance /time

x km/h is speed

20 km is distance

x= 20/t

t= 20/x

Speed = d/t
T = d/ speed
T = 20/ X

prove:
sin²A-cos²B=sin²B-cos²A ​

Answers

Step-by-step explanation:

thwashm m GB DC GM 3hka it g feeds ygzdkzyzuzjz indin, mi, hn zbe

Answer:

Solution given:

L.H.S

sin²A-cos²B

we have

sin²A=1-cos²A and Cos²B=1-sin²B

now

replacing value

1-cos²A-(1-sin²B)

open bracket

1-cos²A-1+sin²B

keep together like terms

1-1+sin²B-Cos²A

=sin²B-Cos²A

R.H.S

proved.

If 2m−6=8m
2
m
-
6
=
8
m
then 3m=
3
m
=


A. 3
B. -1
C. -3
D. -6
E. I don't know.

Answers

Answer:

option A

Step-by-step explanation:

please mark this answer as brainlist

what expression is equivalent to (-7²-x-5)-(3x²+x)

Answers

Answer:

-3x² - 2x - 54

Step-by-step explanation:

(-7²-x-5)-(3x²+x)

-7² - x - 5 - 3x² - x

-49 - x - 5 - 3x² - x

-3x² - x - x - 49 - 5

-3x² - 2x - 54

Does the point (0, 0) satisfy the equation y = 9x?

Answers

Answer:

yes it does

Step-by-step explanation:

because the equation y=9x does not have a y-intercept (all slopes come in the form y=mx+b -- it can be written differently though) and since there is no 'b' that means the y-intercept is 0. So whenever there is no y-intercept, the slope starts at 0.

the area of an equilateral triangle of side 8cm is
pls i need answer ASAP
I'll mark brainliest for anyone who can help me​

Answers

Side=a=8cm

[tex]\\ \sf\longmapsto Area=\dfrac{\sqrt{3}}{4}a^2[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{\sqrt{3}}{4}(8)^2[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{64\sqrt{3}}{4}[/tex]

[tex]\\ \sf\longmapsto Area=16\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto Area=16\times 1.732[/tex]

[tex]\\ \sf\longmapsto Area=27.7cm^2[/tex]

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