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QveST [7]
4 years ago
7

What is the simplified form of this expression?

Mathematics
1 answer:
loris [4]4 years ago
8 0
\bf \cfrac{6x+12}{3x-6}\implies \cfrac{6(x+2)}{3(x-2)}\implies \cfrac{6}{3}\cdot \cfrac{(x+2)}{(x-2)}\implies \cfrac{2}{1}\cdot \cfrac{(x+2)}{(x-2)}\\\\\\ \cfrac{2(x+2)}{(x-2)}
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3 years ago
Of th 30 girls who tried out for the lacrosse team team at Euclid middle school , 12 were selected. Of the 40 boys show tried ou
Harman [31]
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3 0
4 years ago
A company makes electric motors. The probability an electric motor is defective is 4%. What is the probability that a sample of
MrRissso [65]

Answer:

P(X = 2) = 0.2613

Step-by-step explanation:

Given

p = 4\% --- proportion

x = 2 --- defective motors

n = 60 --- sample size

Required

Determine the probability that exactly 2 is defective

This follows a Poisson distribution and will be solved using:

P(X = x) = \frac{e^{-u} u^x}{x!}

Where

u = Expected number of occurrence, and it is calculated as:

u = np

u = 60 * 4\%

u = 60 * 0.04

u = 2.4

So:

P(X = x) = \frac{e^{-u} u^x}{x!} becomes

P(X = 2) = \frac{e^{-2.4}2.4^{2}}{2!}

P(X = 2) = \frac{e^{-2.4}* 5.76}{2}

P(X = 2) = e^{-2.4}* 2.88

P(X = 2) = 0.09071795328* 2.88

P(X = 2) = 0.26126770544

P(X = 2) = 0.2613

<em>Hence, the probability that exactly 2 out of 60 will be defective is 0.2613</em>

6 0
3 years ago
Elsie bought a video game for $85.00. If the store charges 170% of its cost for the game, how much is the store’s profit?
MissTica

Answer: $144.50

Step-by-step explanation:

is/of = %/100

x/85 = 170/100

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divide by 100

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6 0
3 years ago
What is an equivalent fraction to 9/28 ​?
Sophie [7]

Answer:

18/56

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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