18. The servicing of a machine requires two separate steps, with the time needed for the
1 answer:
Answer:
Step-by-step explanation:
Let X denote the first step
Let Y denote the second step
Then
E(X) = 0.2
E (Y) = 0.3
V (X) = 0.04
V (Y) = 0.09
Now,
E(X,Y) = E[X] + E{Y}
0.2 + 0.3 = 0.5
And since X and Y are independent
Therefore,
V(X , Y) = V(X) + V(Y)
= 0.04 + 0.09
= 0.13
Now required probability is
= Φ(-1.24)
= 1 - Φ (1.24)
= 1 - 0.8925
= 0.1075
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Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
vi. Recall that,
We apply this law of exponents to obtain,
vii. We apply
again to obtain,
i. If we raise a number to an exponent of 1, we get the same number.
ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.
iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.
iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.
v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.
vi. Recall that,
We apply this law of exponents to obtain,
vii. We apply
again to obtain,
Answer:
We cannot solve without a value for x. The simplified form is
Step-by-step explanation:
If the equation is then we cannot solve it until we know the value of x. We can simplify it using order of operations such as PEMDAS.