4x+1/3=x-5/2
4x-x=-5/2-1/3
3x=-17/6
1/3(3x)=1/3(-17/6)
X=-17/18
Answer:
0.6710
Step-by-step explanation:
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.
Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 107 mm
σ is the population standard deviation = 5 mm
For x = 104 mm
z = 104 - 107/5
z = -0.6
Probability value from Z-Table:
P(x = 104) = 0.27425
For x = 115 mm
z = 115 - 107/5
z = 1.6
Probability value from Z-Table:
P(x = 115) = 0.9452
The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:
P(x = 115) - P(x = 104)
0.9452 - 0.27425
= 0.67095
Approximately = 0.6710
Answer:
x
=
40
Step-by-step explanation:
Answer:
52m²
Step-by-step explanation:
For this you would consider each face of the figure as a rectangle, and then multiply it by two.
Face 1:
3m×4m×2=24m²
Face 2:
4m×2m×2=16m²
Face 3:
3m×2m×2=12m²
Then you add each of them together to get the overall surface area
12m²+16m²+24m²=52m²
Therefore the final surface area is 52m²
