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2 years ago

Divide *° -3x– 10x+ 24 by X-2

Mathematics

1 answer:

statuscvo [17]2 years ago

7 0

Answer:

$- 13 - \frac{2}{x - 2}$

Step-by-step explanation:

$- 13 - \frac{2}{x - 2}$

<h3>Hope it is helpful...</h3>

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Help ineed help its just too much too count im so confused #screwfortnite

Vlada [557]

Answer:

7 X 10

Step-by-step explanation:

because up and down there are 7 and left to right there are 10

8 0

2 years ago

Read 2 more answers

At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen

guajiro [1.7K]

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

$p_1 = \frac{20}{100} = 0.2$

$s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04$

p2 -> 1997

10 out of 100, so:

$p_2 = \frac{10}{100} = 0.1$

$s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03$

Distribution of p1 – p2:

$p = p_1 - p_2 = 0.2 - 0.1 = 0.1$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05$

Confidence interval:

$p \pm zs$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower bound of the interval is:

$p - zs = 0.1 - 1.645*0.05 = 0.01775
$

The upper bound of the interval is:

$p + zs = 0.1 + 1.645*0.05 = 0.18225
$

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

6 0

2 years ago

London has 3 meters of wood that he is using to make a small fence around his garden. If his fence has 5 sections, how wide is e

salantis [7]

Answer:

60cm

Step-by-step explanation:

total length of wood = 3m

number of sections = 5

width of each section = 3/5 = 0.6 m

= 60cm

3 0

2 years ago

X + 2y =6<br> X- y =3<br> Solution?

VikaD [51]

Since one equation has a negative y and the other has a positive y, I'm going to use those since they cancel each other out. Before that, the two y's need to be equal to each other.

x+2y=6
x-y=3

Multiply the bottom equation by two so then you have:

x+2y=6
2x-2y=6

The y's now cancel out:

x=6
2x=6

Add them together

3x=12

Divide

x=4.

To find y, plug x into either equation (*don't have to do both, but I will)

(4)+2y=6
(4)-y=3

Subtract four

2y=2
-y=-1

Divide each

2y/2 = 2/2
y=1

-y/-1 = -1/-1
y=1

The answer is:
x=4
y=1

I hope that helps!

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3 years ago

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The college bookstore tells prospective students that the average cost of its textbooks is $92 per book, with a standard deviati

elena55 [62]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution.

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2 years ago