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2 years ago

Finds the slope of the line

Mathematics

1 answer:

Zinaida [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Slope=rise over run.

From bottom marked point (-3, -3) to the other (-2, 1)...

Rise= 4

Run= 1

4/1=4

Therefore, the slope is 4.

Hope this helps!! Have an amazing day ❤

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17 = r + 10 pls help quick from 11:27 to 12:30

yawa3891 [41]

The answer is 7

17-10=7

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2 years ago

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Jonathan collects postcards and stamps. The number of postcards in his collection is 12 more than 3/4 the number of stamps. He h

d1i1m1o1n [39]

Answer:

$12 + \frac{3}{4} x = 39$

$\frac{3}{4} x = 27$

$x = 36$

Jonathan has 36 stamps.

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1 year ago

The height of dachshunds is usually 1/3 their length. If Mollie is 20 inches long, how tall is she?

arlik [135]

This is a proportion problem.

Let's make her Length x and her height 1/3 x.

1/3 x = 20 inches

x = 6 2/3 inches

Molly's height is 6 2/3 inches.

Check it.

6 2/3 x 3 = ? (change the mixed number to a fraction)

20/3 x 3 = ? (multiply)

60/3 = ? (divide)

20 inches. Yes, it checks.

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3 years ago

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What is the complex conjugate?

dezoksy [38]

Answer: each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign.

Step-by-step explanation:

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2 years ago

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In college basketball, a shot made from beyond a designated arc radiating about 20 ft from the basket is worth three points ins

denis-greek [22]

Answer:

a) By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b) 4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered surprising, so yes, it would be surprising for him to make only 25 of these shots.

Step-by-step explanation:

To solve this question, we are going to need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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 proportions, we have that the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.45, n = 100$

a)By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b)This is Z when X = 0.25.

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

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.25 – 0.45}{0.0497}$

$Z = -4.02$

4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered

surprising, so yes, it would be surprising for him to make only 25 of these shots.

3 0

2 years ago