Which two events are most likely to be independent? A) Being a senior; going to homeroom. B) Registering to vote; being left-han
2 answers:
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Answer:
0.6065
Step-by-step explanation:
Probability mass function of probability distribution :
a mean of 0.05 flaw per square foot
Each car contains 10 sq.feet of the plastic roll
Mean = 0.05
Mean =
We are supposed to find What is the probability that there are no flaws in a given car’s interior i.e,P(X=0)
Substitute the value in the formula
Hence the probability that there are no flaws in a given car’s interior is 0.6065
Answer:
Please, refer to the images below
Step-by-step explanation:
We need to solve for x in the equation
cos (x+ pi) ^2 = sin (x)
cos (x+ pi) = - cos(x)
(-cos (x)) * (-cos (x)) = sin(x)
cos(x) ^2 = sin(x)
We know that
cos(x) ^2 + sin(x) ^2 = 1
cos(x) ^2 = 1 - sin(x) ^2
1 - sin(x) ^2 = sin(x)
sin(x) ^2 + sin (x) -1 = 0
Let A = sin(x)
A^2 + A - 1 = 0
(solutions attached in picture 1)
This means that
x = arcsin(A)
(solutions attached in picture 2)
Part A:
For a table to be considered a function, every x-value must have one y-value.
Each x-value in this table is unique, and has only one y-value, so this table does represent a function.
Part B:
Plug in 7 for every x in the relation:
The table's output when x = 7 is 11. Compare the two outputs:
11 < 27
The relation, 2x + 13, has a greater value when x = 7.
Part C:
Set the relation to equal 75:
Subtract 13 from both sides:
Divide both sides by 2 to get x by itself:
The x value that produces an output of 75 will be 31.
For a table to be considered a function, every x-value must have one y-value.
Each x-value in this table is unique, and has only one y-value, so this table does represent a function.
Part B:
Plug in 7 for every x in the relation:
The table's output when x = 7 is 11. Compare the two outputs:
11 < 27
The relation, 2x + 13, has a greater value when x = 7.
Part C:
Set the relation to equal 75:
Subtract 13 from both sides:
Divide both sides by 2 to get x by itself:
The x value that produces an output of 75 will be 31.