The Empirical Rule applies to a normal, bell-shaped curve and states that within one standard deviation of the mean (both left-side and right-side) there is about 68% of the data; within two standard deviations of the mean (both left-side and right-side) there is about 95% of the data; and within three standard deviations of the mean (both left-side and right-side) there is about 99.7% of the data. See display below from Section 3.3 Measures of Variation in the textbook.
Example: IQ Scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. What percentage of IQ scores are between 70 and 130?
<span>Solution: </span>130 – 100 = 30 which is 2(15). Thus, 130 is 2 standard deviations to the right of the mean. 100 – 70 = 30 which is 2(15). Thus, 70 is 2 standard deviations to the left of the mean. Since 70 to 130 is within 2 standard deviations of the mean, we know that about 95% of the IQ scores would be between 70 and 130.
Answer:
23
Step-by-step explanation:
To find the Greatest Common Factor, or GCF, we need to factor the first 2 numbers and then find the greatest number that is both present in the prime factorization of both numbers.
253 = 1 * 11 * 23
345 = 3 * 5 * 23
Since 23 is both present in both numbers and is the greatest, the GCF of 253 and 345 is 23.
<span>0.00996 would be it I just took a quiz like that but good luck</span>
Answer A 7.6 earthquake is more than 2x more powerful than a 3.2
Step-by-step explanation:
Answer:
Please check the explanation.
Step-by-step explanation:
Given the polynomial function
Let us determine the factors by solving
Using the zero factor principle:
if 
Thus, (x+2) (x+4) and (x-4) are the factors of the polynomial function.
Therefore,
YES
And (x-2) (x+6) are not the factors of the polynomial function.
Therefore,
YES
