Answer:
A.
m = -1
Step-by-step explanation:
Slope Formula: 
Simply plug in your 2 coordinates into the formula to find slope <em>m</em>:
m = (6 - 4)/(2 - 4)
m = 2/-2
m = -1
Answer:
73.90%
Step-by-step explanation:
Let Event D=Defective, D' = Non Defective
Let Event N=New Machine, N' = Old Machine
From the given information:

We are required to calculate the probability that a widget was manufactured by the new machine given that it is non defective.
i.e. 

Using Baye's Law of conditional Probability

Therefore given that a selected widget is non-defective, the probability that it was manufactured by the new machine is 73.9%.
Answer:
About 99.7% of the IQ scores would be between 57 and 141.
Step-by-step explanation:
The Empirical Rule about a bell-shaped curve states that :
- 68% of the data lies within one standard deviation of the mean (both left-side and right-side)
- 95% of the data lies within two standard deviations of the mean (both left-side and right-side)
- 99.7% of the data lies within three standard deviations of the mean (both left-side and right-side)
Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14
141 – 99 = 42
= 3 × 14
Thus, 141 is 3 standard deviations to the right of the mean.
99 – 57 = 42
= 3 × 14
Thus, 57 is 3 standard deviations to the left of the mean.
Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.
Answer:
1.U={1,2,3,4,5}
A={2}
B={2,3}
C={4,5}
2.U={1,2,3,4}
A={1,2}
B={2,3}
C={4}
Step-by-step explanation:
We are given that
and 
are different sets
1.We have to construct a universe set U and non empty sets A,B and C so that above set in fact the same
Suppose U={1,2,3,4,5}
A={2}
B={2,3}
C={4,5}

{2,3,4,5}
={2}
{2,3,4,5}={2}
={2}
={2}
Hence, 
2.We have to construct a universe set U and non empty sets A,B and C so that above sets are in fact different
Suppose U={1,2,3,4}
A={1,2}
B={2,3}
C={4}

={2,3,4}
={1,2}
={1,2}
={1,2}
{2,3,4}={2}
Hence, 
6/10 rounded to the nearest tenth inches a hour of rain fell