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andrey2020 [161]

3 years ago

9

Federico has $36 to spend on clothes. He wants to buy a shirt for $8 and the rest on pants that are on sale for $10 a pair. Whic

h inequality could he use to determine the number of pairs of pants he can buy?

1 answer:

VladimirAG [237]3 years ago

3 0

Answer: you can buy 2 pairs of pants 1 pair of a shirt and have 2 dollars left

Step-by-step explanation:The two pairs of pants in buys the money with are $20

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Step-by-step explanation:

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6a - 5b when a = -3 and b = 4

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McKenzie makes and sells quilts at an art fair. The materials for each quilt cos t$30.50. She sells the quilts for $80. If "n" r

Nitella [24]

Answer:

Total profits = 49.50n

Step-by-step explanation:

Cost of each quilt = $30.50

Selling price of each quilt = $80

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= $49.50

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4 0

3 years ago

A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua

frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a) $y = a+bx$

$b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} = \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300$

$a=y-bx = 47200-(15300 \times 29) = 2830$

So, slope = 15300

Intercept = 2830

So, equation : $y = 2830+15300x$

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

$y = 2830+15300 \times 3.3 = 53320$

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = $r^2 = (0.72)^2 =0.5184$

8 0

3 years ago