Answer:y=-2x+3
Step-by-step explanation:
Given:
The equation is

To find:
The error and correct solution.
Solution:
We have,

Add 16 on both sides.


Divide both sides by -5.


Third step is incorrect because he divide the equation by 5 instead of -5.
Therefore, the correct solution is
.
Answer:
0.22
Step-by-step explanation:
Sample given is 500, so use z-score for the critical value
Given 95% confidence interval;
∝=100-95 =5% =0.05
∝/2 = 0.05/2 =0.025 ----because you are interested with one tail area
1-0.025= 0.975 -----area to the left
proceed to z-table to read 0.975 = 1.96 as the critical value
standard deviation from the question is 2.5 but because this is a sample then;
standard error for the mean is= standard deviation/√sample= 2.5/√500
=0.1118
Margin of error=1.96*0.1118 =0.2191
Answer:
represent the mean and,
represent the deviation
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X a random variable distributed normally. For this case we just need to conditions in order to satisfy a standard normal distribution
represent the mean and,
represent the deviation
On this case we say that
is a normal standard distribution.