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coldgirl [10]
2 years ago
14

Solve the system of equations y= 3/2 - 1, -x+ y =-3

Mathematics
1 answer:
kaheart [24]2 years ago
5 0

Answer:

(x, y) = ( 1/2, -3 )

Step-by-step explanation:

y = -3

3/2 - 1 - x + y = - 3

3/2 - 1 - x - 3 = - 3

x = 1/2

solution : (x , y ) = ( 1/2, -3)  

here we are gonna see why is that answer :

-3 = 3/2 -1 - 1/2 - 3 = -3

-3 = -3 = -3

i hope this helps

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A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08 mm and stand
LenaWriter [7]

Answer:

10.20% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

Problems of normally distributed samples are 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:

250 sheets, each sheet has mean 0.08 mm and standard deviation 0.01 mm.

So for the book.

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.158

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

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

Z = \frac{20.2 - 20}{0.158}

Z = 1.27

Z = 1.27 has a pvalue of 0.8980

1 - 0.8980 = 0.1020

10.20% probability that a randomly chosen book is more than 20.2 mm thick

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3 years ago
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Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh...  but -5 is less than -2 sooo

start with

-2 1/2  - (-5 3/4 )

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there you go...  :)

if you want it back in proper fractions

3 1/4

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