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3 years ago

In ΔEFG , what is the approximate length of EF if the measure of angle G is 50° and FG is 10 cm?

Mathematics

1 answer:

swat323 years ago

6 0

Hey again, you can use trigonometric ratios for this one. You are trying to find the side length opposite of angle G, when you have the adjacent side length value known. You can use TOA, or tan((opposite/adjacent)) . Tan(50) = x/10

X= 11.92 cm

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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

Da + ca <img src="https://tex.z-dn.net/?f=da%20%2B%20ca" id="TexFormula1" title="da + ca" alt="da + ca" align="absmiddle" cla

sergejj [24]

Answer:

$\boxed{a(c + d)}$

Step-by-step explanation:

$da + ca = a(c + d)$

4 0

2 years ago

The value of x + x(xx) when x = 2 is: (a) 10, (b) 16, (c) 18, (d) 36, (e) 64

brilliants [131]

Answer:

(a)

Step-by-step explanation:

x + x(xx)

Put the value of x = 2 in the above expression we get,

2 + 2(22)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10

Answer: (a)

3 0

2 years ago

On Monday Carlos ran 1/8 of a mile on Wednesday he ran 5/6 of a mile Carlos ran 3/8 of a mile on Friday Which day did Carlos run

pishuonlain [190]

1/8 5/6 3/8
Make sure that in order to compare and rank them from least to greatest, you ned to first see that the denominator is the same.

1/8=3/24 5/6=20/24 3/8=9/24
1/8<3/8<5/6

Therefore, 5/6 is the greatest and also the farthest that Carlos ran.

6 0

3 years ago

A 5-foot tall person standing with her back to the sun casts an 12-foot long shadow. To the nearest degree, what angle does the

swat32

Answer:

23°

Explanation:

1) Data:

a) height of the person = opposite-leg to the angle the sun makes with the ground = 5 ft

b) length of the shadow = adjacent-leg to the angle the sun makes with the ground = 12 ft

c) angle, α = ?

2) Solution

tanα = opposite-leg / adjacent-leg

tanα = 5 ft / 12 5t = 5/12

α = arctan(5/12) = 22.6°

22.6° rounded to the nearest degree is 23° ← answer

5 0

2 years ago