Answer:
95% of the students have grade point averages that are between 1.76 and 3.28
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 = 2.52
Standard deviation = 0.38
Using the empirical rule, what percentage of the students have grade point averages that are between 1.76 and 3.28
1.76 = 2.52 - 2*0.38
So 1.76 is two standard deviations below the mean.
3.28 = 2.52 + 2*0.38
So 3.28 is two standard deviations above the mean
By the Empirical rule, 95% of the students have grade point averages that are between 1.76 and 3.28
Answer:
8 weeks
Step-by-step explanation:
Given data
Matteo
Amount= $400
Spending per week= $10
Hence his balance after x weeks is given as
y=400-10x-------------1
Luca
Amount= $200
Spending per week= $15
Hence his balance after x weeks is given as
y=200+15x-------------2
Equate 1 and 2
400-10x=200+15x
collect like terms
400-200=15x+10x
200=25x
x= 200/25
x= 8 weeks
Hence it will take 8 weeks
9514 1404 393
Answer:
45°, 45°, 90°
Step-by-step explanation:
If the difference of two angles is 0°, then they are congruent, and the triangle is isosceles.
The angle measures of the isosceles right triangle are 45°, 45°, 90°.
1080-360 = 720
720-360=360
360-360=0
so tan 1080 = tan 0 = 0
