Answer:
By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) 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 = 2.54
Standard deviation = 0.42.
Between 1.28 and 3.8?
1.28 = 2.54 - 3*0.42
So 1.28 is 3 standard deviations below the mean
3.8 = 2.54 + 3*0.42
So 3.8 is 3 standard deviations above the mean
By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.
Answer:
y-3= -1/5(x-5)
Step-by-step explanation:
point slope form is --> y-y,=m(x-x,)
commas represent 1's.
so
-1/5= m
3=y,
5=x,
Answer:
x = -1
Step-by-step explanation:
1/2 (3x +4 ) = 1/2
1/2 x 3x + 1/2 x 4 = 1/2
1.5 x + 2 = 1/2
1.5x = 1/2 -2
1.5x = -1.5
1.5x /1.5 = -1.5/1.5
x = -1
Check Back
1/2 ( 3 x -1 + 4) =1/2
1/2 ( 1) =1/2
1/2 =1/2
2/5 of 30 = 12
30 + 12 = 42
£42
