Select all relations that represent functions.
1 answer:
Answer:
FIRST OPTION.
SECOND OPTION.
FOURTH OPTION.
Step-by-step explanation:
By definition, a relation is a function if an only if each input value ( each x- value) has only one output value (y-value).
Based on this you can identify that:
1. The relation is a function.
2. The relation is a function.
3. The relation is not a function, because the input value 6 has two different output values:
4. The first table represents a function.
5. The second table does not represent a function, because the input value 0 has two different output values:
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Answer:
Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .
Step-by-step explanation:
We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.
Also, a sample of four metal sheets is randomly selected from a batch.
Let X bar = Average length of a sheet
The z score probability distribution for average length is given by;
Z = ~ N(0,1)
where, = population mean = 30.05 inches
= standard deviation = 0.2 inches
n = sample of sheets = 4
So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)
P(30.25 inches < X bar < 30.35 inches) = P(X bar < 30.35) - P(X bar <= 30.25)
P(X bar < 30.35) = P( <
) = P(Z < 3) = 0.99865
P(X bar <= 30.25) = P( <=
) = P(Z <= 2) = 0.97725
Therefore, P(30.25 inches < X bar < 30.35 inches) = 0.99865 - 0.97725
= 0.0214
U can simplify each number to the bottom. Then determine which number pair u can take out. Put those outside of the square too sign. Numbers with out a pair must stay inside the square room
