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marin [14]
3 years ago
11

Hello there ^ _ ^ Can you help me please ? Please explain how you find the answer. Thanks!

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0
It's C because for the perpendicular line, you need to construct cross points to draw it through.

- you start by drawing a random circle with F as the center, just as long as it intersects line DE
- Then you use the intersections of that circle to draw new circles starting at F.
- These new circles intersect at F and another point below DE.
- You draw the perpendicular line through F and the other point.
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4. The annual salaries of employees in a large company are approximately
svetoff [14.1K]

a. What percent of people earn less than $40000?

Solution: Let S be the random variable of a salary of employee (in $), S ~ N(50000,20000). Then the random

variable X =−50000

20000

~N(0,1).

( < 40000) = ( <

40000 − 50000

20000 ) = ( < −0.5) = (−0.5) = 0.3085375.

Here Φ(x) denotes the cumulative distribution function of a standard normal distribution.

Answer: 31%.

b. What percent of people earn between $45000 and $65000?

Solution:

(45000 < < 65000) = (

45000 − 50000

20000 < <

65000 − 50000

20000 ) = (−0.25 < < 0.75)

= (0.75) − (−0.25) = 0.7733726 − 0.4012937 = 0.3720789.

Answer: 37%.

c. What percent of people earn more than $70000?

Solution:

( > 70000) = ( >

70000 − 50000

20000 ) = ( > 1) = 0.8413447.

Answer: 84%.

5 0
3 years ago
Janae has a soap bottle that has $474$ mL of liquid soap. Each push of the pump uses $8$ mL of soap. There needs to be at least
bixtya [17]

Answer:

53 pushes

Step-by-step explanation:

Total Volume of soap = 474 mL

Volume per push = 8mL

Mimimum volume required = 50mL

The equation which represents the number of push, x that can be made :

Total volume = minimum volume + (volume per push * number of pushes)

Total volume = 50 + (8 * x)

474 ≤ 50 + 8x

474 - 50 ≤ 8x

424 ≤ 8x

53 ≤ x

The number of pushes that can be made = 53

6 0
2 years ago
a car with a 20 gallon gas tank can go 25 miles on 1 gallon of gas. if the tank is full at the begining of the trip, how many ti
Tom [10]
37 times 720 divided by 20 is 36 then you need gas to run the 5 other miles. 
6 0
3 years ago
If f(1)=-10 write the corresponding order pairs
masya89 [10]
F(1)=-10
f(x), so x=1
f(x)=-10, y=f(x), and y=-10
(x,y)=(1,-10)
3 0
3 years ago
Can someone please help????? What is 25% off of $23.99???
Anika [276]
p\%=\frac{p}{100}\\\\25\%=\frac{25}{100}=\frac{1}{4}\\\\25\%\ of \ \$23.99=\frac{1}{4}\cdot\$23.99=\$5.9975\approx\$6.00
4 0
3 years ago
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