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3 years ago

Combine like terms to simplify the expression -2/3a+5/6a-1/6

Mathematics

2 answers:

kodGreya [7K]3 years ago

8 0

$-\frac{2}{3}a+\frac{5}{6}a-\frac{1}{6}=-\frac{4a}{6}+\frac{5a}{6}-\frac{1}{6}=\frac{-4a+5a-1}{6}=\frac{a-1}{6}$

DochEvi [55]3 years ago

6 0

I got a common denominator on the terms with 'a' in them and then added the coefficients.

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The book would cost less in Los Angeles because it would cost $23.75 in Europe.

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3 years ago

Read 2 more answers

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev

Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 30.05 inches

$\sigma$ = standard deviation = 0.2 inches

n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z < 3) = 0.99865

P(X bar <= 30.25) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ <= $\frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } }$ ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725

= 0.0214

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A would be the answer to this question

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central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?

Cloud [144]

Sector area = (central angle / 360) * PI * radius^2
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radius^2 = sector area / [(72 / 360) * PI]
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Source:
http://www.1728.org/radians.htm

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