The salary before the increase was $48000.
Answer:
x=pi*n/2+1/2arctan(7/5)
Step-by-step explanation:
5sin(2x)=7cos(2x)
5tan(2x)=7/5
2x=pi*n+arctan(7/5)
x=pi*n/2+1/2arctan(7/5) for n e Z
Answer:
4/5
Step-by-step explanation:
0.8 (to a fraction) 8/10
8/2=4
10/2=5
4/5
Hello from MrBillDoesMath!
Answer:
x = ( -9 + sqrt(33) ) /4
and
x = ( -9 - sqrt(33) ) /4
Discussion:
Using the quadratic formula with a = 2, b = 9 and c = 6 gives
x = ( -b +\- sqrt(b^2-4ac) )/2a
x = ( -9 +\- sqrt(9^2 - 4*2*6)) / (2*2) =>
x = ( -9 +\- sqrt (81- 48)) / 4 =>
x = ( -9 +\- sqrt(33) ) /4
Thank you,
MrB
The probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
<h3>How to determine the probability?</h3>
The given parameters are:
- Sample size, n = 100
- Population proportion, p = 82%
Start by calculating the mean:



Calculate the standard deviation:



Within ± 0.02 of the population proportion are:


Calculate the z-scores at these points using:

So, we have:


The probability is then represented as:
P(x ± 0.02) = P(-0.43 < z < 0.43)
Using the z table of probabilities, we have:
P(x ± 0.02) = 0.3328
Hence, the probability that the sample proportion is within ± 0.02 of the population proportion is 0.3328
Read more about probability at:
brainly.com/question/25870256
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