If using the method of completing the square to solve the quadratic equation

Which property is used 2(x+4)=2x+8

Elenna [48]

Answer:

Apply the distributive property

2x+2(4)=2x+8

Multiply 2 by 4

2x+8=2x+8

Move all terms containing x to the left and subtract 2x

2x+8-2x=8

Combine the opposite terms

2x+8-2x

Subtract 2x from 2x

0+8=8

8=8

All real number

Step-by-step explanation:

7 0

3 years ago

A high speed elevator can rise 480 feet in 30 seconds. which expression represents the rate, in feet per minute, of the elevator

AleksAgata [21]

R = 960x ft/min

Explaination : 960 is the rate at which the elevator will rise in a minute, while the 'x' represents the amount of minutes passed. Finally the label in the end clarify the units of measure.

4 0

4 years ago

HELP ME PLEASE ON THIS!!

Nata [24]

Answer:

On the ground is the answer and my chat is "devanson1".

Step-by-step explanation:

without the quotation marks

6 0

3 years ago

Help me pls its simple (hopefully)<br><br> pls dont guess

Rzqust [24]

Answer:

15.8 in.

Step-by-step explanation:

63.2 / 4 = 15.8

5 0

3 years ago

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

Molodets [167]

Answer:

10.38% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes.

99.55% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 410 minutes

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

Normal probability distribution

Problems of normally distributed samples can be 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.

Mildly obese

Normally distributed with mean 375 minutes and standard deviation 68 minutes. So $\mu = 375, \sigma = 68$

What is the probability (±0.0001) that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes?

So $n = 6, s = \frac{68}{\sqrt{6}} = 27.76$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 375}{27.76}$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962.

So there is a 1-0.8962 = 0.1038 = 10.38% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 410 minutes.

Lean

Normally distributed with mean 522 minutes and standard deviation 106 minutes. So $\mu = 522, \sigma = 106$