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Nuetrik [128]
3 years ago
13

What does r equal? 5(3-5r) + 3r = -(5r + 2)

Mathematics
1 answer:
S_A_V [24]3 years ago
8 0
5(3-5r)+3r=-(5r+2)
=1
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3 years ago
Which is the simplified rational expression for r2-4r+5/r-4
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Step-by-step explanation:

\frac{ {r}^{2}  - 4r + 5}{r - 4}  -  \frac{ {r}^{2}  + 2r - 8}{r - 4}  \\  =  \frac{ ({r}^{2} - 4r + 5) - ( {r}^{2}  + 2r - 8) }{r + 4}  \\  =   \frac{ {r}^{2} -  {r}^{2}  - 4r - 2r + 5 - 8 }{r - 4}  \\  =   \frac{ - 6r - 3}{r - 4}

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3 years ago
Professors at a local university earn an average salary of $80,000 with a standard deviation of $6,000. The salary distribution
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Answer:

d. It is at most 25 percent.

Step-by-step explanation:

According to Chebyshev's inequality, for a given number of standard deviations, k, no more than 1/k² can be more than k standard deviations from the mean. In this situation the amount of standard deviations from the mean of the upper and lower bound of salaries are:

U=\frac{\$92,000-\$80,000}{\$6,000}=2\\L = \frac{\$80,000-\$68,000}{\$6,000}= 2

For k = 2, applying Chebyshev's inequality:

P( \$68,000 \leq X \leq \$92,000)= \frac{1}{2^2} = 0.25

Therefore, at most 25% of the salaries are less than $68,000 or more than $92,000.

7 0
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