Answer:
0.85083 ; 0.83147 ; 0.6823 ; 0.015386
Step-by-step explanation:
Given that:
σ = 25
μ = 86
(a) x is more than 60
P(x > 60)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (60 - 86) /25
Z = - 1.04
P(Z > - 1.04) = 0.85083 (Z probability calculator)
(b) x is less than 110
P(x < 110)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (110 - 86) /25
Z = 0.96
P(Z < 0.96) = 0.83147 (Z probability calculator)
(c) x is between 60 and 110
P(x < 110) - P(x < 60)
P(Z < 0.96) - P(Z < - 1.04)
0.83147 - 0.14917
= 0.6823
(d) x is greater than 140
P(x > 140)
obtain standardized score (Zscore)
Zscore = (x - μ) / σ
Z = (140 - 86) /25
Z = 2.16
P(Z > 2.16) = 0.015386 (Z probability calculator)
Answer:
Step-by-step explanation:
They are equal
Answer:
D because 6/30 is not the same as 2:10
Answer:
k= 1 mile per minute
Step-by-step explanation:
There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y.
The table representing this information is given below:
The equation of proportionality is given as: y=kx
When x=8, y=8
Substituting we have:
8=8k
Divide both sides by 8
k=1
Therefore, the constant of proportionality, k= 1 mile per minute
