Bob is performing an experiment to learn more about probability. He has a box of pink, yellow, blue, and white ribbons. He rando
1 answer:
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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.
<span>3 cans store
9 tennis balls.
Find the Constant of proportionality and write and equation with regards to this given situation:
=> number of tennis balls = 9
=> number of cans = 3
</span> <span>So the constant of proportionality is in the working column. Pls see attached.<span>
</span></span>
Find the Constant of proportionality and write and equation with regards to this given situation:
=> number of tennis balls = 9
=> number of cans = 3
</span> <span>So the constant of proportionality is in the working column. Pls see attached.<span>
</span></span>
The Amanda's house is 6.7 km far from her school.
<u>Step-by-step explanation:</u>
From the given information,
- The Amanda's school is due west of her house forms the base.
- The school is due south of the Shereen's house forms the height.
- The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.
Therefore, It can be determined that it forms the right angle triangle.
It is given that,
The distance between the school and Shereen's house is 2 kilometers.
That is, the height of the triangle = 2 km
The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.
That is, the hypotenuse of the triangle = 7 km
Now, the distance between the Amanda's house and her school is the base of the triangle.
<u>To find the base :</u>
Base =
⇒
⇒
⇒
⇒ 6.7 km
Therefore, the Amanda's house is 6.7 km far from her school.