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2 years ago

Simplify the expression below: 2x-3(y – 2x)

Mathematics

2 answers:

aleksley [76]2 years ago

6 0

Answer:

8x + 3y

Step-by-step explanation:

2x-3(y-2x)

2x-3y+6x

8x +3y

ad-work [718]2 years ago

4 0

Answer:

4x-3y

Step-by-step explanation:

=> 2x-3(y-2x)

=> 2x-3y+2x

=> 4x-3y

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Morgan is making two cookie recipes. Recipe A calls for one-third less than twice the number of cups of sugar than recipe B call

vredina [299]

Answer:

Step-by-step explanation:

2c-1/3=4 1/6

(1/3 x 2= 2/6)

2c= 3 5/6

(6 x 3 + 5)

2c=23

c=11.5 or 11 1/2

6 0

2 years ago

Read 2 more answers

In a production process, the diameter measures of manufactured o-ring gaskets are known to be normally distributed with a mean d

Art [367]

Answer:

DIRECT WAY EXCEL

"=NORM.DIST(75,80,3,TRUE)"

And we got: $P(X\leq 75)= 0.04779$

OTHER WAY

$P(X\leq 75)=P(\frac{X-\mu}{\sigma}\leq \frac{75-\mu}{\sigma})=P(Z\leq \frac{75-80}{3})=P(Z$

And we can find this probability using the normal standard table or excel:

$P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the diameter of a population, and for this case we know the distribution for X is given by:

$X \sim N(80,3)$

Where $\mu=80$ and $\sigma=3$

And we know that if the diameter is 75 or less the ring would be considered defective , so then in order to find the proportion of defective we need to find the following probability:

$P(X\leq 75)$