Answer:
GCF OF 20 AND 32: 4
Gcf of 45 and 75: 15
Step-by-step explanation:
GcF of 20 and 32
Factors of 20: 1, 2, 4, 5, 10, 20
Factors of 32: 1, 2, 4, 8, 16, 32
COMMON FACTORS: 1, 2, 4
GCF:4
Gcf of 45 and 75
Factors of 45: 15, 9, 5, 3, 1.
Factors of 75: 25, 15, 5, 3, 1.
CommoN factors: 1, 3, 5, 15
GCF:15
HOPE OT HELPED
<span>Since the h represents the number of hours spent working on the vehicle then the 75 represents the charge per hour for the work, leaving only the 0.08 which stands for the sales tax percentage which is 8% or 0.08 of the product of $75 times the number of hours worked on the car.</span>
Answer:
Cylinder
(with radius of 4 units and height of 4 units)
Step-by-step explanation:
First, determine the shape of the 2D figure.
Point B is above point A, and point C is above point D.
Point A and B, and points C and D are on the same horizontal line.
Points A and B both have an x-value of zero.
Points C and D both have an x-value of 4.
Therefore, the width of the shape is 4 units
Points A and D have an y-value of zero.
Points B and C have an y-values of 4.
Therefore, the height of the shape is 4 units.
Therefore, the shape of the 2d figure is a square with side length of 4 unit. (See first attached image).
If the square is rotated above the y-axis, it creates a cylinder with a radius of 4 units and a height of 4 units. (See second attached image).
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: In the exact order up to down: 80, 74, 110, 96, 80
Step-by-step explanation:
Do the equation
360=(x-6)+(x+30)+1.2x+x
we can simplify by doing
360=(x-6)+(x+30)+2.2x
=360=x-6+x+30+2.2x
=360=4.2x+24
=336=4.2x
=80=x
x=80
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