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.
70% divided by 25 is 2.8 so add 2.8 to 110 you get 112.8 so 112.8 is your answer hope this helps
Answer:
V =12.167 cm^3
Step-by-step explanation:
V = s^3 is the volume of a cube where s is the side length
The side length of the cube is 2.3 cm
V = ( 2.3 cm) ^3
V =12.167 cm^3
X= 10
This is because 180-95= 85 which would make 8x+5= 85
Subtract 5 from both sides and get 8x=80
Then, divide 8 from both sides and get x=10
