-(7+8/100)
= -(7+4/50)
= -(7+2/25)
= -177/25
Population = 135 students
Mean score = 72.3
Standard deviation of the scores = 6.5
Part (a): Students from 2SD and 3SD above the mean
2SD below and above the mean includes 95% of the population while 3SD includes 99.7% of the population.
95% of population = 0.95*135 ≈ 129 students
99.7% of population = 0.997*135 ≈ 135 students
Therefore, number of students from 2SD to 3SD above and below the bean = 135 - 129 = 6 students.
In this regard, Students between 2SD and 3SD above the mean = 6/2 = 3 students
Part (b): Students who scored between 65.8 and 72.3
The first step is to calculate Z values
That is,
Z = (mean-X)/SD
Z at 65.8 = (72.3-65.8)/6.5 = 1
Z at 72.3 = (72.3-72.3)/6.5 = 0
Second step is to find the percentages at the Z values from Z table.
That is,
Percentage of population at Z(65.8) = 0.8413 = 84.13%
Percentage of population at (Z(72.3) = 0.5 = 50%
Third step is to calculate number of students at each percentage.
That is,
At 84.13%, number of students = 0.8413*135 ≈ 114
At 50%, number of students = 0.5*135 ≈ 68
Therefore, students who scored between 65.8 and 72.3 = 114-68 = 46 students
Answer:
b = 1.52
Step-by-step explanation:
Length of diagonals of a parallelogram = 
and 
If the given parallelogram is a rectangle,
Length of the diagonals will be equal in measure,
Therefore, 
245b - 365 = 
245b - 365 = 
5(245b - 365) = 4(3b + 6)
1225b - 1825 = 12b + 24
1225b - 12b = 24 + 1825
1213b = 1849
b = 
b = 1.52
Answer:
60 times
Step-by-step explanation:
Since each roll has a 50% chance of rolling an even number
50% of 120 is 60
Answer:
C
Step-by-step explanation:
Formula for potential energy is PE = m*g*h
where
m is the mass, in kg
g is the acceleration due to gravity, in meters per second squared, and
h is the height, in meters
The problem gives m = 50, g = 9.8, and h = 5. We plug that into the formula and get out answer. So:
Correct answer is C.
