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arsen [322]
3 years ago
11

All of the following are equal except___. 1/4^3 4^5/4^ 4^-3 4^2/4^5

Mathematics
1 answer:
Mariulka [41]3 years ago
5 0

Answer:

\frac{4^{5}}{4^{2}}\\

Step-by-step explanation:

\frac{1}{4^{3}} =4^{-3}\\\\4^{-3}\\\\\frac{4^{2}}{4^{5}}=4^{2-5}=4^{-3}

But 4^5/4^{2} = 4^3

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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
Find the equation of the circle whose center and radius are given.<br> center ( 5.6), radius = 3
topjm [15]

Answer:

(x-5)² + (x-6)² = 9

Step-by-step explanation:

Remember that the equation of a circle is (x - h)² + (x - k)² = r², with <em>r </em>being the radius and <em>(h,k) </em>being the center point of a circle.

Since we are already given <em>r </em>and <em>(h,k)</em>, all we need to do is plug them into the formula to find our equation.

7 0
3 years ago
The fractions with the same numerators and different denominators are NOT equivalent.
WINSTONCH [101]
B has the same denominator so there is your answer
7 0
3 years ago
How many times larger is 3*10^8 than 5*10^6
Alex777 [14]
60 times larger.
Hope I helped!!!
8 0
3 years ago
Neil has 3 partially full cans of white paint . They contain 1/3 gallon , 1/5 gallon and 1/2 gallon of paint. About how many pai
stepan [7]

Answer:

About 1 gallon. (32/30)

Step-by-step explanation:

First get a LCM (least common multiple) for 3, 5, and 2.

Now we have 30. Make 30 the denominator for all.

10/30

15/30

7/30

Then add them all up to get 32/30.

About 1 gallon.

4 0
3 years ago
Read 2 more answers
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