Answer:
About 99.7% of the IQ scores would be between 57 and 141.
Step-by-step explanation:
The Empirical Rule about a bell-shaped curve states that :
- 68% of the data lies within one standard deviation of the mean (both left-side and right-side)
- 95% of the data lies within two standard deviations of the mean (both left-side and right-side)
- 99.7% of the data lies within three standard deviations of the mean (both left-side and right-side)
Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14
141 – 99 = 42
= 3 × 14
Thus, 141 is 3 standard deviations to the right of the mean.
99 – 57 = 42
= 3 × 14
Thus, 57 is 3 standard deviations to the left of the mean.
Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.
Answer:
19/21
Step-by-step explanation:
When we add two fractions, such as 4/7 + 1/3, we make sure that the two denominators are the same and then we simply add the numerators.
In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them intact.
We also simplify the answers to fraction problems whenever possible.
It's C because for b the x on the graph isn't in order but if you add two every time it works, for example when it goes from 1 to 3 or 4 to 6
Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.
So
5<em>x</em> = <em>x</em> + 12
4<em>x</em> = 12
<em>x</em> = 3
→ PQ = 5<em>x</em> = 15
and
12<em>z </em>° + 6<em>z</em> ° = 180°
18<em>z</em> ° = 180°
<em>z</em> = 180/18 = 10
→ m∠<em>S</em> = 12•10° = 120°
Answer:
equilateral
Step-by-step explanation:
equilateral sides are equal and the angles aswell
