Write an expression to represent the area of this figure.. its a circle with the diameter of 2x+4
1 answer:
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Answer:
a) A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.
b) 1.39% of the class scored lower than your friend.
Step-by-step explanation:
Problems of normally distributed samples are 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.
You got a score of 2.49 on an exam.
(a) Write a sentence explaining what that means
A z-score of 2.49 means that your grade was 2.49 standard deviations above the mean of all grades.
(b) Your friend got a z-score of negative 2−2. If the grades satisfy the Nearly Normal Condition, about what percent of the class scored lower than your friend?
This percentage is the pvalue of
So 0.0139 = 1.39% of the class scored lower than your friend.
1. We can conclude that the result of the division is 
with a remainder of 
, or in other notation: 
. Check the steps in the first image.
3. We can conclude that the result of the division is
with a remainder of 2, or in other notation: 
. Check the steps in the firts image.
5. We can conclude that the result of the division is
with a remainder of 5, or in other notation: 
. Check the steps in the first image.
7. To check if
is a factor of 
, we are going to perform long division. If the result of the long division has no remainder, is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the second image.
9. To check if
is a factor of , we are going to perform long division. If the result of the long division has no remainder, 
is a factor of .
Since the result of the long division has no remainder, we can conclude that is a factor of . Check the steps in the third image.
10. We can conclude that the result of the synthetic division is
. Check the steps in the fourth image.
3. We can conclude that the result of the division is
5. We can conclude that the result of the division is
7. To check if
Since the result of the long division has no remainder, we can conclude that
9. To check if
Since the result of the long division has no remainder, we can conclude that
10. We can conclude that the result of the synthetic division is
From the picture, we can see that
which means