Answer: The probability that the diameter of a selected bearing is greater than 109 millimeters is 0.047
Step-by-step explanation:
Since the diameters of ball bearings are distributed normally, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the diameters of ball bearings.
µ = mean diameter
σ = standard deviation
From the information given,
µ = 104 millimeters
σ = 3 millimeters
The probability that the diameter of a selected bearing is greater than 109 millimeters is expressed as
P(x > 109) = 1 - P(x ≤ 109)
For x = 109,
z = (109 - 104)/3 = 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.953
Therefore,
P(x > 109) = 1 - 0.953 = 0.047
Answer:
yes
Step-by-step explanation:
Each input value only goes to one output value so the relation is a function
Answer:
-(1/(x+h-3)(x-3))
Step-by-step explanation:
y=1/(x-3)
(f(x+h)-f(x))/h=(1/(x+h-3)-1/(x-3))/h=-(1/(x+h-3)(x-3))
Answer:
B. 6:00
Step-by-step explanation:
There are 60 minutes in one hour.
To calculate 40 minutes after 4:40, separate 40 minutes into two lots of 20 minutes.
⇒ 4:40 + 20 minutes = 5:00
⇒ 5:00 + 20 minutes = 5:20
Therefore, 40 minutes after 4:40 is 5:20
To calculate the time that 5:20 is 40 minutes before, add 40 minutes to 5:20
⇒ 5:20 + 40 minutes = 6:00
Therefore, the solution is option B. 6:00
Step-by-step explanation:
if x-4 is a factor of 2x^3 + x^2- 26x - 40
then f(4) = 0
f(x) = 2x^3 + x^2- 26x - 40
f(4) = 2(4)^3 + (4)^2 - 26(4) - 40
f(4)= 2(64) + 16 - 104 - 40
f(4) = 128 + 16 - 104 - 40
f(4) = 0
hence factorize completely is the photo
