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3 years ago

Find the x intercept and the y intercept of the graph of the equation 2x+4y=8

Mathematics

1 answer:

maksim [4K]3 years ago

3 0

Answer:

x-intercept: 4

y-intercept: 2

Step-by-step explanation:

finding the x-intercept:

first, substitute y = 0.

2x + 4 x 0 = 8

then, remove the 0.

2x + 0 = 8

then, divide both sides. 2x = 8

so, x = 4.

finding the y-intercept:

first, substitute x = 0.

then, solve.

2 x 0 + 4y = 8

so, y = 2.

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The quality assurance department of a chair factory samples daily production to test for the strength of the chairs being produc

Thepotemich [5.8K]

This is one of those statistical follow-up questions and had to look for the options. Since the department of quality assurance is assessing the durability of the chairs being produced, the population that they are testing for quality is ALL THE CHAIRS THEY PRODUCED. Hope this helps.

6 0

3 years ago

Read 2 more answers

Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a

shepuryov [24]

Answer:

a) $P(X$

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

$P(z$

b) $P(X>77)=P(\frac{X-\mu}{\sigma}>\frac{77-\mu}{\sigma})=P(Z>\frac{77-75}{10})=P(z>0.2)$

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

$P(z>0.2)=1-P(Z$

c) $z = \frac{70-75}{\frac{10}{\sqrt{16}}}= -2$

$z = \frac{80-75}{\frac{10}{\sqrt{16}}}= 2$

And we can find this probability with this difference:

$P(-2$

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 life of a particular brand of a population, and for this case we know the distribution for X is given by:

$X \sim N(75,10)$

Where $\mu=75$ and $\sigma=10$

Part a

We are interested on this probability

$P(X$

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:

$P(X$

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

$P(z$

Part b

$P(X>77)=P(\frac{X-\mu}{\sigma}>\frac{77-\mu}{\sigma})=P(Z>\frac{77-75}{10})=P(z>0.2)$

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

$P(z>0.2)=1-P(Z$

Part c

For this case we select a sample size of n =16. and we want this probability:

$P(70 < \bar X$

We know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we can find the z scores for the limits like this:

$z = \frac{70-75}{\frac{10}{\sqrt{16}}}= -2$

$z = \frac{80-75}{\frac{10}{\sqrt{16}}}= 2$

And we can find this probability with this difference:

$P(-2$

6 0

3 years ago

PLEASE HELP WILL MARK BRAINLYIST

kap26 [50]

Answer:

- 10.2n - 1

Step-by-step explanation:

You need to add the expressions:

- 2.4n - 3 + (- 7.8n +2)

- 2.4n - 3 - 7.8n + 2

- 10.2n -1

7 0

3 years ago

Convert the following to scientific notation: 5050

ozzi

Answer:

5.05*10³

Step-by-step explanation:

<em>Put the decimal after the first digit and drop the zeroes. To find the exponent count the number of places from the decimal to the end of the number.</em>

5050 = 5.05 *1000 = 5.05*10³

5 0

3 years ago

I really need the answer. will give brainliest!

soldier1979 [14.2K]

Answer:

The answer is 27.4 I'm bad at math and I tried so hope is correct

8 0

4 years ago