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lianna [129]
2 years ago
6

Z=11.1i-45 re(z) and lm(z)

Mathematics
1 answer:
____ [38]2 years ago
4 0

Z=11.1I-45=88.1  

RE(Z)

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Please solve with explanation
Inga [223]

Answer:

a. Simplify each term. 49/2+0

Add 49/2 and 0.

49/2

The result can be shown in multiple forms.

Exact Form:

49/2

b. Replace the variable a with −13 in the expression.

−(−1/3)²b²−3(−1/3)³b²

Replace the variable b with −1 in the expression.

−(−1/3)²(−1)²−3(−1/3)³(−1)²

Simplify each term. −1/9+1/9 = 0

Combine fractions. 0

Step-by-step explanation:

4 0
3 years ago
10 divided by <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1}{2}" al
Ilya [14]

<u>20</u>

10÷1/2

≈10/1÷1/2

KFC

10/1×2/1

=20/1=20

Hope this helped- have a good day, cya)

7 0
2 years ago
Read 2 more answers
The average high-school teacher annual salary is $43,000. Let teacher salary be normally distributed with a standard deviation o
Dvinal [7]

Answer:

a) 0.219

b) 0.02

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 43000, \sigma = 18000

a. What percent of high school teachers make between $40,000 and $50,000?

This is the pvalue of Z when X = 50,000 subtracted by the pvalue of Z when X = 40,000.

So

X = 50,000

Z = \frac{X - \mu}{\sigma}

Z = \frac{50000 - 43000}{18000}

Z = 0.39

Z = 0.39 has a pvalue of 0.6517.

X = 40,000

Z = \frac{X - \mu}{\sigma}

Z = \frac{40000 - 43000}{18000}

Z = -0.17

Z = -0.17 has a pvalue of 0.4325

So 0.6517 - 0.4325 = 0.219 = 21.9% of high school teachers make between $40,000 and $50,000.

b. What percent of high school teachers make more than $80,000?

This is 1 subtracted by the pvalue of Z when X = 80000. SO

Z = \frac{X - \mu}{\sigma}

Z = \frac{80000 - 43000}{18000}

Z = 2.06

Z = 2.06 has a pvalue of 0.9803.

So 1-0.9803 = 0.0197 = 0.02 = 2% of high school teachers make more than $80,000.

6 0
3 years ago
The excursion boat on the river takes 2½ hours to make the trip to a point 12 miles upstream and to return. If the rate at which
Orlov [11]

Answer:

2 mph

Step-by-step explanation:

time = distance / speed

Let c represent the rate of the current. Then the upstream rate of the boat relative to the shore is (5c -c) = 4c, and the <em>upstream time</em> is ...

... 12/(4c) = 3/c.

Likewise, the downstream rate is (5c +c) = 6c, and the <em>downstream time</em> is ...

... 12/(6c) = 2/c.

The <em>total time</em> is the sum of upstream and downstream times:

... 3/c +2/c = 2.5

... 5/c = 2.5 . . . . . . combine terms

... 5/2.5 = c = 2 . . . multiply by c/2.5

6 0
3 years ago
Which fraction is equivalent to 12/27? help
Mkey [24]

\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}

<h3>Hope This Helps You</h3>
7 0
3 years ago
Read 2 more answers
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