16.89 x 78.91 = 1,332.7899
I'm not sure what it is equivalent to.
Answer:
0.15%
Step-by-step explanation:
We have been given that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 12. We are asked to find the percentage of IQ scores that are greater than 133 using the empirical rule.
First of all, we will find z-score for given sample score of 133 as z-score tells us a data point is how many standard deviation away from mean.
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation.
We know that according to the empirical rule 68% of data lies within one standard deviation of mean, 95% of data lies within two standard deviation of mean and 99.7% of data lies within one standard deviation of mean.
Since 133 is 3 standard deviation above mean, so 0.3% lies above and below 3 standard deviation.
Since we need IQ scores above 133, so we will divide 0.3% by 2 as:
Therefore, 0.15% of IQ scores are greater than 133.
Answer:
The unlimited mileage plan would save money for Lia from 410 miles onwards.
Step-by-step explanation:
Since Lia can rent a van for either $ 90 per day with unlimited mileage or $ 50 per day with 250 free miles and an extra 25 ¢ for each mile over 250, to determine for what number of miles traveled in one day would the unlimited mileage plan save Lia money, the following calculation must be performed:
90.25 - 50 = 40.25
40.25 / 0.25 = 161
161 + 250 = 411
Therefore, the unlimited mileage plan would save money for Lia from 410 miles onwards.
Answer:
X ≤ 2
Step-by-step explanation:
x/(3 - 2) ≤ 2
3-2 = 1
x/1 ≤ 2
X ≤ 2
Answer:
- Corresponding Angle Postulate
- Corresponding Angle Postulate
- Reflexive Property
- Similar
Step-by-step explanation:
The pairs of angles referenced in statements 1 and 2 are "corresponding" angles, so the Corresponding Angle Postulate applies.
The Reflexive Property is what says something is the same as itself. This is used in statement 3.
The upshot of the AA Similarity postulate is to say triangles are similar (as in statement 4).
