Match the equation with the step needed to solve it.

1 answer:

3 0

1 subtract 1 2m - 1 = 3m
2 subtract 2 2m = 1 + m 
3 subtract m m - 1 = 2 
4 add 2 + m = 3 
5 subtract 2m -2 + m = 1 
6 add 1 3 = 1 + m
1.5.
2.4
3.1
42
56
63

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A battery has a lifetime that is approximately normally distributed with a mean of 600 hours and a standard deviation of 50 hour

miss Akunina [59]

Answer:

A. Your battery is likely defective since such poor performance is extremely unlikely.

Step-by-step explanation:

When the distribution is normal, we use 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.

If X is more than two standard deviations from the mean, it is considered an unlikely outcome.

In this question, we have that:

$\mu = 600, \sigma = 50$

Which of the following conclusions is the most appropriate given this information?

Lasted 400 hours, so X = 400.

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

$Z = \frac{400 - 600}{50}$

$Z = -4$

4 standard deviations from the mean, so unlikely.

So the correct answer is:

A. Your battery is likely defective since such poor performance is extremely unlikely.

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A jar contains a mixture of 10 black balls, 8 red balls, and 2 white balls all the same size. What is the probability of drawing

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Calculate the gradient of the line using rise/run method.

Lapatulllka [165]

Given:

The graph of line.

To find:

The gradient of the line using rise/run method.

Solution:

We know that the gradient of a line is also known as slope.

$Slope=\dfrac{Rise}{Run}$

Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.

$Rise=-3$