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2 years ago

Solve for y, z, x or t:

Mathematics

1 answer:

Rus_ich [418]2 years ago

5 0

Answer:

Step-by-step explanation:

$if~it ~is ~y+\frac{y}{a} =b\\then~\frac{ay+y}{a} =b\\ay+y=ab\\ y(a+1)=ab\\ y=\frac{ab}{a+1} \\$

$z-a=\frac{z}{b} \\z-\frac{z}{b} =a\\ \frac{bz-z}{b} =a\\bz-z=ab\\z(b-1)=ab\\z=\frac{ab}{b-1}$

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What’s the perpendicular slope of 4/3

never [62]

Answer:

-3/4

Step-by-step explanation:

Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.

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2 years ago

Read 2 more answers

victoria and gabriela walked to the store at 11:00 am. it took 75 minutes to get to the store. what time dis they arrive at the

ad-work [718]

Answer:

12:15pm

Step-by-step explanation:

1hr=60mins

1hr +15mins= 75 minutes

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Hope this helps!

7 0

2 years ago

Can someone help please

maw [93]

Answer:

A, B, C, D, and F are all solutions.

Step-by-step explanation:

All of the possible answers are correct except for E. Answer E is 0.001 less than -4 which would not make the equation true. Hope this helps!!

6 0

2 years ago

Use the zeros of the following quadratic to find the x-value of the vertex.

frez [133]

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2 years ago

An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

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".

Part a

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

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

5 0

2 years ago