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trasher [3.6K]
3 years ago
11

Write a real-world problem that can be modeled by the equation 1.25x=0.75x+50

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0
We have such equation
1.25x=0.75x+50        /-0.75x   (subtract 0.75 both sides)
1.25x-0.75x=0.75x-0.75x+50
0.5x=50          /*2   (multiply both sides times 2)
0.5x*2=50*2
x=100 - its the answer
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Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

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Z score (60+7(-2), 60+7(2))\\=(46, 74)

Between 46 and 74 oz.

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convert into Z score

(\frac{12-60}{7}

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c) X<30 gives Z<-4.83

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3 years ago
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What is the degree measure of FEG?<br> A 20°<br> B 31°<br> C 56°<br> D<br> 124°
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2 years ago
Use DeMoivre's Theorem to find (3cis*pi/6)^3
Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

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