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liraira [26]
3 years ago
6

You pick a card at random, put it back, and then pick another card at random. What is the probability of picking a number less t

han 7 and then picking a 7 when you have 4 card: 4567
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

Answer:

.75% of picking up a card under 7 and .25% of picking up a 7.

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A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a g
Natasha2012 [34]

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(A) y=-0.762+0.119x

(B) If a country increases its life expectancy, the happiness index will increase.

(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

Step-by-step explanation:

A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).

The output of the regression analysis are as follows:

a = -0.762

b = 0.119

r² = 0.8649

r = 0.93

(A)

The equation of the Least Squares Regression line of the form y = _ + _ x is:

y=-0.762+0.119x

(B)

The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.

The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.

Thus, if a country increases its life expectancy, the happiness index will increase.

(C)

Compute the value of y for x = x + 3.5 as follows:

y=-0.762+0.119x

  =-0.762+0.119\times (x+3.5)\\\\=(-0.762+0.119x)+0.4165\\\\=y+0.4165

Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D)

Compute the value of y for x = 67 as follows:

y=-0.762+0.119x

  =-0.762+0.119\times 67\\\\=-0.762+7.973\\\\=7.211\\\\\approx 7.21

Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

6 0
4 years ago
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