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Sophie [7]
3 years ago
11

Tamsen pays $12.50 of her monthly life insurance premium, and her

Mathematics
1 answer:
mixer [17]3 years ago
8 0

Benefit she gets monthly is = 42.25-12.5= 29.75

annual value to Tamsen of this benefit= 12×29.75 = 357$

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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
Pls answer, and be clear on which one your answering, thank youuu!! Very thankful worth 30 points!! :) <333
sveta [45]
The mistake Shawna made was in her answer the 54 repeats so the bar should be over the .54 not the .545
7 0
3 years ago
Michael’s favorite cereal is Cinnamon Toast Crunch. His mom buys him a big box for a special treat, and he wants to figure out e
Sauron [17]

Answer:

he made a good choice, the width is: 4 inches

Step-by-step explanation:

12 x 8 x _<u>4_</u> = 384

3 0
3 years ago
The angle measures of a triangle are in a ratio of 4 : 6 : 10. what type of triangle is this?
melomori [17]
4x+6x+10x=180

20x=180

x=9

So, the angles are:

4(9)=36
6(9)=54
10(9)=90

It's a right triangle.
6 0
3 years ago
What is tan(x) equal to?<br> 1<br> 2<br> sin(x)<br> cos(x)<br> sin(x)/cos(x)
mash [69]

Answer: sin(x) / cos(x)

Step-by-step explanation: This is just a trigonometric identity you should have memorized :)

8 0
3 years ago
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