Y=x^2-6x+4 find vertex

Find the exact length of the third side.

pychu [463]

Answer:

$24x^{2} +7x^{2} =$

step-by-step explanation:

You have to solve this to get your answer. This is a case where you have to use the pythagorean theorem.

8 0

2 years ago

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An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste

Zielflug [23.3K]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=%28x%20-%201%29%28%20x%20-%20%28%20%5Cfrac%7B1%7D%7B2%7D%20%2B%203i%29%28x%20-%20%28%20%5Cfrac

abruzzese [7]

$(X-1)(\frac{37}{4} -3ix+\frac{x}{2} )$

Hope this helps

Mark me as brainliest pls begging u

3 0

3 years ago

What number is 4 units left of 0

Zinaida [17]

Answer:

-4

Step-by-step explanation:

4 0

3 years ago

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In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.

MArishka [77]

Using the Central Limit Theorem, it is found that:

The mean is 0.23.

The standard deviation is $s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$ .

<h3>Central Limit Theorem</h3>

It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean $p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$

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

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}$

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}$

Hence, for the distribution of differences:

$p = p_1 - p_2 = 0.95 - 0.72 = 0.23$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

7 0

2 years ago