Write x2 - 12x + 8 in vertex form.

50 points and brainliest for the best fastest answer

romanna [79]

Answer:

ha

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The distribution of SAT II Math scores is approximately normal with mean 660 and standard deviation 90. The probability that 100

gayaneshka [121]

Using the <em>normal distribution and the central limit theorem</em>, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is of 660, hence $\mu = 660$ .

The standard deviation is of 90, hence $\sigma = 90$ .

A sample of 100 is taken, hence $n = 100, s = \frac{90}{\sqrt{100}} = 9$ .

The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is <u>1 subtracted by the p-value of Z when X = 670</u>, hence:

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

By the Central Limit Theorem

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

$Z = \frac{670 - 660}{9}$

$Z = 1.11$

$Z = 1.11$ has a p-value of 0.8665.

1 - 0.8665 = 0.1335.

0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213

7 0

1 year ago

Please help with this

lana66690 [7]

Alright, let's convert to decimals for these calculations: fractions could get messy.
1/5 = .2
1/2 = .5

Imagine a rectangular solid in your mind. How many sides does it have?
6. In the image shown you have 3 facing you. In addition to those, there are 3 not shown. They will correspond to the calculations you make on the front, though, so all you have to do is double the values you get.

Area is length * width, or length * height, or width * height. So:
A = 3.2 (length) * 4.5 (height) for the front face of the rectangular solid(as well as the back face.)
A = 5 (width) * 4.5 (height) for the right face of the rectangular solid (and the one on the left, away from you.)
A = 3.2 (length) * 5 (width) for the top of the solid(and the bottom).

Calculating these values, we get that
A=14.4
A=22.5
A= 16
So that's 3 out of 6 values for the full surface area.
Like I said though, these values can merely be doubled for the complete area.
Add these three together:
14.4+22.5+16=52.9
multiply by 2 to account for the other 3 sides
52.9 * 2 = 105.8
105.8 is the surface area.

4 0

2 years ago

Courtney needs to go to the library, the doctor's office, and her friend's house. How many different ways can she make the stops

mixas84 [53]

Answer:

6 different ways

8 0

3 years ago

7/10 is blank pieces of the whole

solniwko [45]

7/10 is 7 pieces of the whole. The whole would be cut into 10 pieces and you have 7 of the 10...7/10.

5 0

3 years ago