Answer:
Step-by-step explanation:
<u>Fractions</u>
We are given the expression:
We'll find an equivalent expression that results when simplifying the given fraction.
The numerator is a mixed fraction, which we'll convert into an improper fraction as follows:
Now it follows:
Instead of dividing fraction, we multiply by the reciprocal of the denominator:
Simplifying:
34% of the scores lie between 433 and 523.
Solution:
Given data:
Mean (μ) = 433
Standard deviation (σ) = 90
<u>Empirical rule to determine the percent:</u>
(1) About 68% of all the values lie within 1 standard deviation of the mean.
(2) About 95% of all the values lie within 2 standard deviations of the mean.
(3) About 99.7% of all the values lie within 3 standard deviations of the mean.
Z lies between o and 1.
P(433 < x < 523) = P(0 < Z < 1)
μ = 433 and μ + σ = 433 + 90 = 523
Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.
i. e.
Here μ to μ + σ =
Hence 34% of the scores lie between 433 and 523.
Answer:
1: 3 2: -2 3: 12 4: 9 5: 4 6:-0.628 7:-10 8:-7 9: 2/3 10:17 11: -4
12: 11 13:30 14:7 15:-18 16:10 17:0 18:7 19:-3.6 20:6
Hope this helps
-mercury