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dem82 [27]
2 years ago
11

4. The annual salaries of employees in a large company are approximately

Mathematics
1 answer:
svetoff [14.1K]2 years ago
5 0

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%.

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Kryger [21]
No it is not greater than 5

When ever you are multiply a number by 1/2 you are halving the number. So in the us case 3 x 1/2 is 1.5.

And 1.5 is not greater than 5

So the answer is no



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2 years ago
0=-20.5x+16.35x-0.1245
Pachacha [2.7K]

The value of x in the given equation -20.5x+16.35x -0.1245 = 0\\ is 0.03

<u>Step-by-step explanation:</u>

The given equation is that -20.5x+16.35x -0.1245 = 0\\

<u>The steps to be followed to solve the equation are :</u>

Add the like terms together to reduce the equation in a simplified form.

Here, there are two x terms and they must be reduced to a single term.

For this, add the both terms together so that the equation is simplified into one x term and a constant term.

⇒ (-20.5x+16.35x) - 0.1245 = 0

⇒ 4.15x-0.1245 = 0

To eliminate the constant term on the left side of the equation, add 0.1245 on both sides.

⇒ 4.15x -0.1245+0.1245 = 0.1245

⇒ 4.15x = 0.1245

Now, the equation is further simplified by dividing 4.15 on both sides,

⇒ 4.15x / 4.15 = 0.1245/4.15

⇒ x = 0.03

Therefore, the value of x is 0.03

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3 years ago
HELP WILL MARK BRAINLIEST IF GOTTEN RIGHT
Musya8 [376]

Answer:

B

Step-by-step explanation:

trust meh

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2 years ago
Jill wants to find the quotient use multiplication and distributive property to help Jill find the quotient of 144 divided by 8
UkoKoshka [18]
120+24 divided by 8=
144 divided by 8= 18 because 18 times 8 equals 144
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3 years ago
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Strike441 [17]

Answer:

b

Step-by-step explanation:

B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91

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