Many attempts have been made to relate happiness with various factors. One such study relates happiness with age and finds that holding everything else constant, people are least happy when they are in their mid-40s (The Economist, December 16, 2010). Data are collected on a respondent’s age and his/her perception of well-being on a scale from 0 to 100; the data is presented below.

Age Happiness
49 62
51 66
41 67
65 71
84 87
41 60
83 86
18 78
36 59
61 63
15 77
86 90
73 70
32 62
84 93
23 72
52 58
72 73
63 63
30 66
72 78
47 60
88 95
69 72

Required:
a. Calculate the sample correlation coefficient between age and happiness.
b. Interpret the sample correlation coefficient between age and happiness.
c. Draw a scatterplot to evaluate your interpretation of the calculated sample correlation value.

Number of parts = 1 + 4 = 5

Sum of all parts = $1000

Each part =

= 1000 ÷ 5

= $200

Money the man got =

= 200 × 1

= $200

Money the woman got =

= 200 × 4

= $800

The womans has $800 as her share .

Total parts = 2 + 1 + 1 = 4 parts

Sum of all parts = 800

Each part = 800 ÷ 4

Each part = 200

Then ,

The woman gets =

= 200 × 2

= $400

Her mother gets =

= 200 × 1

= $200

Her daughter gets =

= 200 × 1

∴ Her daughter receives $200 .

Answer:

both have four sides and equal measures with the opposite side. Parallelograms are slanted while the rectangles are straight.

Answer: True

You can break the polygon up into smaller pieces such as triangles. Find the area of each triangle, and then add up those smaller areas to get the overall total area.

Answer:

i don't know

Step-by-step explanation:

learn before asking it enbarrases your self

Answer:

10 percent

Step-by-step explanation:

hello,

from this question, it has been stated that the lucky number is 1

from all of these values below we are to account how many times 1 appeared in these numbers have

89064, 27308, 64568 ,14121, 98226, 65388, 58732, 85801, 69902, 78431, 10380, 42006.

the total number of 1 is 6

= 6 x 1 divided by the number of trials 60

= 6 x 1/60

= 0.1

to get the proportion, we multiply 0.1 by 100

0.1 x 100

= 10%

9514 1404 393

Answer:

  Positive

Step-by-step explanation:

If thinking in the abstract doesn't work well for you, choose a couple of values that match the description:

  a > 0, choose a = 1

  b < 0, choose b = -1

Now, the product is ...

  -4ab = (-4)(1)(-1) = 4 . . . a positive product

__

The product will be positive when the total number of minus signs of the factors is even. Here, there are 2 minus signs, so the product is positive.

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

===================================================

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

[tex]\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}[/tex]

If we multiply both sides of the second equation by -2, we get this updated system

[tex]\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}[/tex]

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

Answer:

22

Step-by-step explanation:

Add 5

Answer:

2, 7, 12, 17, _____

the pattern is increasing by 5, so add 5 to 17

you get 22 as your answer

Step-by-step explanation:

Answer:

[tex]14[/tex] ft

Step-by-step explanation:

Let x be the length of each side

I hope this helps!

Land breeze is the answer

perceived lack of anonymity is the correct answer

The self-interest study bias will be the most relevant for the provided situation option (A) is correct.

An attitude or prejudice either in favour of or against something or someone is referred to as a bias.

We have the situation:

A study is conducted with people who experienced a serious accident resulting in head trauma.

As we know, when researchers are invested in the outcome, bias may result.

Thus, the self-interest study bias will be the most relevant for the provided situation option (A) is correct.

Learn more about the bias here:

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I can't see the whole paper the sentences is cut

Answer:

The right answer is actually $2,435,000.00

Step-by-step explanation:

The reason is because you take 300,000 and times that by 24 then you get 7,200,000 then you take that and times it by 0.10 then you get 720,000 then you add that to the 1,715,000 and you get 2,435,000.

300,000 x 24 = 7,200,000

7,200,000 x 0.10 = 720,000

720,000 + 1,715,000 = 2,435,000

So, $2,435,000.00 is your answer.

The total salary last year was $2,435,000 if a professional baseball player earned $1,715,000 from playing baseball last year.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

A professional baseball player earned $1,715,000 from playing baseball last year.

The total earning from autobiography = 300,000x24

= 7,200,000

The royalty amount = 10% of 7,200,000

The royalty amount = 0.10x7,200,000

The royalty amount = 7,200,00

Total salary last year = 1,715,000 + 7,200,00

Total salary last year = $2,435,000

Thus, the total salary last year was $2,435,000 if a professional baseball player earned $1,715,000 from playing baseball last year.

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Answer:

1 and 4

Step-by-step explanation:

because the square roots are always irrational. however, a rational number can be expressed as a decimal, fraction, and others...

Hope that helped

Answer:

the answer would be a or b

Step-by-step explanation:

because they both can be written as fraction

hope this helps you!

4:3 and 16:12

4 times 2 is 8

3 times two is 6 therefore

4:3 has the same value

same with the second except it is 8 and 6 times 2

Answer: A and C

Step-by-step explanation: If you take the ratio and divide both sides by 2, you get the equivalent ratio 4:3. Then if you take the ratio and multiple both sides by 2, you will get the equivalent ratio 16:12. This means that both A and C are equivalent to the ratio 8:6.

Answer:

15 hours.

Step-by-step explanation:

Answer:

1/2 feet per second.

Step-by-step explanation:

Answer:

b) 8

Step-by-step explanation:

9514 1404 393

Answer:

  21.46 mm^2

Step-by-step explanation:

The area of the square is ...

  A = s^2 = (10 mm)^2 = 100 mm^2

The area of the circle is ...

  A = πr^2 = π(5 mm)^2 = 25π mm^2 ≈ 78.54 mm^2

Then the shaded area is ...

  100 mm^2 -78.54 mm^2 = 21.46 mm^2 . . . shaded area

Answer:

13

Step-by-step explanation:

16-3 = 13

Answer:

-2x - 10

Step-by-step explanation:

(2x-6) - (4x+4)​    multiply (4x+4)​  by -1   -1(4x + 4) = -4x - 4

2x - 6 - 4x - 4  Re-arrange

2x - 4x - 6 - 4

-2x - 10

Answer:

452

Step-by-step explanation:

216+151+85=452

Answer:

The answer is 5/6.

Step-by-step explanation:

1/2=3/6, and 1/3=2/6. 2/6+3/6=5/6

The number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here, (a) is the numerator and (b) is the denominator.

We have to find the addition of two fraction number 1/2 and 1/3. Suppose the value which is closest to 1/2 + 1/3 is n. Thus,

[tex]n=\dfrac{1}{2}+\dfrac{1}{3}\\[/tex]

Cross multiply to find the addition of two numbers,

[tex]n=\dfrac{3+2}{6}\\n=\dfrac{5}{6}\\n=0.833[/tex]

Thus, the number which is closest to the addition of two fraction numbers, 1/2 + 1/3 is 0.8.

Learn more about the fraction number here:

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Answer:

Step-by-step explanation:

Angle ABC is the sum of angles ABD and DBC as per angle addition postulate

As per given we have isosceles triangles ABD and BCD

ADC is straight angle, therefore:

Answer:

187/6

Step-by-step explanation:

Simplify the following:

(7 + 1/4) 2^2 + (8 + 1/2 - 2)/3

2^2 = 4:

(7 + 1/4) 4 + (8 + 1/2 - 2)/3

Put 7 + 1/4 over the common denominator 4. 7 + 1/4 = (4×7)/4 + 1/4:

(4×7)/4 + 1/4 4 + (8 + 1/2 - 2)/3

4×7 = 28:

(28/4 + 1/4) 4 + (8 + 1/2 - 2)/3

28/4 + 1/4 = (28 + 1)/4:

(28 + 1)/4×4 + (8 + 1/2 - 2)/3

28 + 1 = 29:

29/4×4 + (8 + 1/2 - 2)/3

29/4×4 = (29×4)/4:

(29×4)/4 + (8 + 1/2 - 2)/3

(29×4)/4 = 4/4×29 = 29:

29 + (8 + 1/2 - 2)/3

Put 8 + 1/2 - 2 over the common denominator 2. 8 + 1/2 - 2 = (2×8)/2 + 1/2 + (2 (-2))/2:

29 + ((2×8)/2 + 1/2 + (2 (-2))/2)/3

2×8 = 16:

29 + (16/2 + 1/2 + (2 (-2))/2)/3

2 (-2) = -4:

29 + (16/2 + 1/2 + (-4)/2)/3

16/2 + 1/2 - 4/2 = (16 + 1 - 4)/2:

29 + ((16 + 1 - 4)/2)/3

16 + 1 = 17:

29 + ((17 - 4)/2)/3

| 1 | 7

- | | 4

| 1 | 3:

29 + (13/2)/3

13/2×1/3 = 13/(2×3):

29 + 13/(2×3)

2×3 = 6:

29 + 13/6

Put 29 + 13/6 over the common denominator 6. 29 + 13/6 = (6×29)/6 + 13/6:

(6×29)/6 + 13/6

6×29 = 174:

174/6 + 13/6

174/6 + 13/6 = (174 + 13)/6:

(174 + 13)/6

| 1 | 7 | 4

+ | | 1 | 3

| 1 | 8 | 7:

Answer: 187/6

Answer:

31 1/6

Step-by-step explanation:

7 1/4 × 2²+(8 1/2-2)÷3

Using PEMDAS

Parentheses first

7 1/4 × 2²+(6 1/2)÷3

Then exponents

7 1/4 × 4+(6 1/2)÷3

Changing the mixed numbers to improper fractions

7 1/4 = (4*7+1)/4 = 29/4  and ( 2*6+1)/3 = 13/2

29/4 × 4+(13/2)÷3

Multiply and divide from left to right

29 + 13/2÷3

Using copy dot flip

29 + 13/2 * 1/3

29 + 13/6

Changing back to a mixed number

13/6 = 12/6 + 1/6 = 2 1/6

29 + 2 1/6

Add

31 1/6

Answer:

x = -2 13/15

Step-by-step explanation:

-5(3x+8)-5=-2

start by multiplying out the 5 to the numbers in the parenthesis.

= -15x-40-5=-2

subtract 5 from -40

=15x-45=-2

add the 45 to itself to get rid of it and add it to -2

=15x=43

divide 43 by 15

=2.8666666666 or -2 13/15