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2 years ago

Geometry Find the length of x

Mathematics

1 answer:

Shkiper50 [21]2 years ago

8 0

Answer:

x=4.8

Step-by-step explanation:

AE.EC=DE.EB

6×8=10×x

48=10x

x=4.8

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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

2 years ago

Factor fully. Solutions should be in the form Factor 1: (4x-3) Factor 2: (x-4)

My name is Ann [436]

Answer:

5x² − 37x - 24 =
5x² + 3x - 40x - 24 =
x(5x + 3) - 8(5x + 3) =
(5x + 3)(x - 8)

<u>The factors are:</u>

Factor 1: 5x + 3
Factor 2: x - 8

4 0

2 years ago

Sub to Via's Creations channel on you tube!

Elden [556K]

Answer:

You got it! ill do it now

Step-by-step explanation:

3 0

3 years ago

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What is if 40% of a number is 56 what was the original number ,, can u show me how to do it?

ASHA 777 [7]

The number is assumed to be x

x of 40% = 56
x * (40/100) = 56
x = 5600 / 40
x = 140

6 0

3 years ago

There are three new seats in each role in the school auditorium there are 15 rows in the auditorium each new ski cost $74 what i

qaws [65]

Take the amount of rows in the auditorium, 15, and multiply that by the number of new seats in each row, 3. You get 45. Now multiply the number of new seats, 45, by the cost of each seat, $74. You get $3,330.

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2 years ago

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