Answer: 1
Step-by-step explanation:
If a random variable x is uniformly distributed in [a,b] the
Mean = 
Standard deviation : 
Let x = Times required for a cable company to fix cable problems
As per given.
x is uniformly distributed between 40 minutes and 65 minutes.
Then , mean =
minutes
Standard deviation :
minutes
Consider , P (mean- 2(Standard deviation) < X < mean+2(Standard deviation) )
= P(52.5-2(7.22)< X < 52.5+2(7.22))
=P(38.06 <X < 66.94 ).
But x lies between 40 minutes and 65 minutes.
Also, [40 minutes, 65 minutes]⊂ [38.06 minutes , 66.94 minutes]
Therefore ,P(38.06 <X < 66.94 ) =1
∴ The probability that a randomly selected cable repair visit falls within 2 standard deviations of the mean is 1.
Answer:
The 5th term.
Step-by-step explanation:
a3 = a1 + 2d = 4
a9 = a1 + 8d = -8
Subtracting :
6d = -12
d = -2
So it's the 5th term because:
a5 = a3 + 2(-2)
= 4 - 2(2) = 0
Answer: is 10
Step-by-step explanation:input :
Changes made to your input should not affect the solution:
(1): "3.4" was replaced by "(34/10)". 4 more similar replacement(s)
STEP
1
:
17
Simplify ——
5
Equation at the end of step
1
:
89 14 65 17
((——-(——•x))+(——•x))+——
10 10 10 5
STEP
2
:
13
Simplify ——
2
Equation at the end of step
2
:
89 14 13 17
((——-(——•x))+(——•x))+——
10 10 2 5
STEP
3
:
7
Simplify —
5
Parallel lines have the same slope.