Answer:
vertical angles
Step-by-step explanation:
they are vertical angles because they are vertically opposite each other and they are equal
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:
70 apples
Step-by-step explanation:
We can use a ratio to solve
7 apples x apples
-------------- = -------------
50 name 500 names
Using cross products
7 * 500 = 50x
Divide by 50
7 * 500/50 = 50x/50
70 =x
Answer:
3/2 and 3/4 are terminating decimals
Step-by-step explanation:
Terminating decimals are those whose decimals end.
3/2 = 1 .5
2/3 = .6666repeating
3/4 = .75
5/7 =.714285repeating