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:
The answer to your question is x = 23.36
Step-by-step explanation:
Solve for x
1250 = 500(1.04)
Apply logarithms
log 2.5 = x log 1.04
x = 0.398 / 0.017
x = 23.36
Answer:
multiply (x-1) to both sides and then subtract three from both sides
3 = (x-1)(x+1)
3 = (x^2 -1)
0 = x^2 - 4
(x-2)(x+2) = 0
x = 2
x = -2
Step-by-step explanation:
The area is 100 because 15*B(9)=100
. Then 
for all 
, but 
doesn't exist.
