Answer:
Percentage of scores that fall between 70 and 80 = 24.34%
Step-by-step explanation:
We are given a test with a population mean of 75 and standard deviation equal to 16.
Let X = Percentage of scores
Since, X ~ N(
)
The z probability is given by;
Z = 
~ N(0,1) where, 
= 75 and 
= 16
So, P(70 < X < 80) = P(X < 80) - P(X <= 70)
P(X < 80) = P( < 
) = P(Z < 0.31) = 0.62172
P(X <= 70) = P( < 
) = P(Z < -0.31) = 1 - P(Z <= 0.31)
= 1 - 0.62172 = 0.37828
Therefore, P(70 < X < 80) = 0.62172 - 0.37828 = 0.24344 or 24.34%
Answer:
3
Step-by-step explanation:
absolute values can never be negative.
Answer:
5
Step-by-step explanation:
Given that:
Weight of package delivered = 100 - 120 pounds
Number of packages carried per trip is atleast 10 = ≥ 10
Total weight of packages must be at most 1,100 ≤1,100
The maximum number of 120 pound packages the helicopter can carry:
Maximum capacity = 1100 pounds
Number of packages ≥ 10
Let number of 110 packages carried = x
Number of 120 packages carried = y
x + y ≥ 10 - - (1)
100x + 120y ≤ 1100 - - - (2)
From (1): x ≥ 10 - y
100(10 - y) + 120y ≤ 1100
1000 - 100y + 120y ≤ 1100
1000 + 20y ≤ 1100
20y ≤ 1100 - 1000
20y ≤ 100
y = 5
y = number of 120 pound packages carried
y = 5
Answer:
ti=s*w
Step-by-step explanation:
ti=total incom
s=salery per week
w=weeks worked
ti=s*w
Yes, 5/12 is greater than 1/4.
