Answer:
A score of 150.25 is necessary to reach the 75th percentile.
Step-by-step explanation:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
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.
A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.
This means that 
What score is necessary to reach the 75th percentile?
This is X when Z has a pvalue of 0.75, so X when Z = 0.675.
A score of 150.25 is necessary to reach the 75th percentile.
Answer:
x=-2.8
Step-by-step explanation:
Answer:
The equation of this line would be y = 3/2x - 11, which is the answer D.
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -2/3, which means the new slope will also be 3/2 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - 1 = 3/2(x - 8)
y - 1 = 3/2x - 12
y = 3/2x - 11
Answer:
1) y=2x-2
2) y=2x+10
3) y=2x-10
4) y=2x+2
5) y=1/2 x
6) y=1/2 x-2
7) y=1/2 x+2
hope this helps, if so hit that thanks button ;D
Step-by-step explanation:
Using the Central Limit Theorem, it is found that each random sample must have at least 10 parents supporting the change and 10 opposing.
<h3>What does the Central Limit Theorem state?</h3>
It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportion is approximately normal with mean 
and standard deviation 
, as long as 
and 
.
For the test hpyothesis, two conditions are needed:
- The sampling distribution must be approximately normal.
Hence each random sample must have at least 10 parents supporting the change and 10 opposing.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
