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Elis [28]
3 years ago
13

To identify high-paying jobs for people that do not like stress, the following data were collected showing the average annual sa

lary ($1000) and the stress tolerance for a variety of occupations (Business Insider, November 8, 2013). The stress tolerance for each job is rated on a scale from 0 to 100, where a lower rating indicates less stress.
Job Average Annual Salary ($1000s) Stress Tolerance
Art directors 81 69
Astronomers 96 62
Audiologists 70 67.5
Dental hygienists 70 71.3
Economists 70 63.3
Engineers 92 69.5
Law teachers 92 62.8
Optometrists 100 65.5
Political scientists 98 60.1
Urban and regional planners 102 69

Required:
Draw scatter diagram for these data with average annual salary as the independent variable.
Mathematics
1 answer:
charle [14.2K]3 years ago
7 0

Answer:

Y = -0.09594X + 74.35629

Step-by-step explanation:

Given the data :

Job average annual salary (X) :

81

96

70

70

70

92

92

100

98

102

Stress tolerance (Y) :

69

62

67.5

71.3

63.3

69.5

62.8

65.5

60.1

69

Using technology, the linear model Obtian by fitting the given data is :

Y = -0.09594X + 74.35629 ;

Where ;

Y = stress tolerance (dependent variable)

X= Average annual salary (Independent variable)

Slope = 0.09594

Intercept = 74.35629

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Answer:

The probability that the first card is a Heart and the second card is a Spade is 0.064.

Step-by-step explanation:

A standard deck of 52 cards is shuffled and two cards are drawn without replacement.

The denominations of the cards are as follows:

Spades (S) = 13

Hearts (H) = 13

Diamonds (D) = 13

Clubs (C) = 13

Compute the probability of selecting a Heart first as follows:

P(H)=\frac{13}{52}=0.25

Compute the probability of selecting a Spade second as follows:

P(S)=\frac{13}{51}=0.255

Since the two cards are selected without replacement the second draw is independent of the other.

Then the probability that the first card is a Heart and the second card is a Spade is:

P(1st\  H\cap 2nd\ S)=P(H)\times P(S)

                            =0.25\times 0.255\\=0.06375\\\approx 0.064

Thus, the probability that the first card is a Heart and the second card is a Spade is 0.064.

4 0
3 years ago
5n + 34 = -2(1 - 7n) what is the solution to this question
Temka [501]
5n + 34 = -2(1 - 7n)

5n + 34 = -2 + 14n
5n = -36 + 14n
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7 0
2 years ago
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mylen [45]

Answer:

Alicia pagara MX$1,700.

Step-by-step explanation:

A 32% discount (descuento) would come to 0.32(MX$2,500) = MX$800.

Subtracting MX$800 from MX$2,500 yields MX$1,700.

Alicia pagara MX$1,700.

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2 years ago
Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary
natita [175]

Answer:

Step-by-step explanation:

Distance between two points (x_1,y_1) and (x_2,y_2) is given by the formula,

Distance = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

a). A(-6, -4), B(-3, -1)

Distance between A and B = \sqrt{(-6+3)^2+(-4+1)^2}

                                             = \sqrt{9+9}

                                             = 3√2

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b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = \sqrt{(3.5+4)^2+(1-2.5)^2}

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                    = \sqrt{200}

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3 years ago
Lease help I need it badly you get 30 points
tester [92]
Answer is b. Because it going up
8 0
2 years ago
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