Solve the below system of equations using the best method. Please describe the method used [substitution, graphing, elimination,
1 answer:
You might be interested in
Answer:
The slope of the line is m = 2.
The y-intercept is (0,7).
The equation of the line in the slope-intercept form is y = 2 x - 7.
Step-by-step explanation:
The slope of a line passing through two points and
is given by
We have that ,
, and
Plug the given values into the formula for a slope: .
Now, the y-intercept is (or
, the result is the same).
Finally, the equation of the line can be written in the form :
Using the normal distribution, we have that:
- For a single value, P(X < 79.1) = 0.5517.
- For the sample of n = 155, P(X < 79.1) = 0.9463.
The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
The mean and the standard deviation are given, respectively, by:
.
The probability is the <u>p-value of Z when X = 79.1</u>, hence:
Z = (79.1 - 76.2)/22.4
Z = 0.13
Z = 0.13 has a p-value of 0.5517.
Hence: P(X < 79.1) = 0.5517.
For the sample of 155, applying the Central Limit Theorem, the standard error is:
s = 22.4/sqrt(155) = 1.8
Hence:
Z = (79.1 - 76.2)/1.8
Z = 1.61
Z = 1.61 has a p-value of 0.9463.
P(X < 79.1) = 0.9463.
More can be learned about the normal distribution at brainly.com/question/15181104
#SPJ1