Answer:
Given
if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form
We need to find the ratio p:q:r
Given p:q = 2/3 : 3 = 2/3 / 3 = 2/9
and p : r = 3/4 : 1/2 = 3/4 / 1/2 = 3/2
Now p/q = 2/9 and p/r = 3/2
We need to make p equal numerators so we get
p/q = 2/9 x 3/3 = 6/27 and
p/r = 2/3 x 3/2 = 6/4
Therefore p : q : r = 6 : 27 : 4
Fraction: 1/512
decimal: 0.001953
To find area you do length x width. To find perimeter you do length + width.
Answer:
By the Empirical Rule, 68% of IQ scores are between 87 and 121
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 104
Standard deviation = 17
Using the empirical rule, what percentage of IQ scores are between 87 and 121
87 = 104 - 1*17
So 87 is one standard deviation below the mean
121 = 104 + 1*17
So 121 is one standard deviation above the mean
By the Empirical Rule, 68% of IQ scores are between 87 and 121
