Answer:
1.
Step-by-step explanation:
Any real value to the power of 0 is 1.
<h3>Given :</h3>
- Base of triangle = 7 yd
- Height of triangle = 10 yd

<h3>To find:</h3>

We know:-
When base and height of triangle is given we use this formula:


So:-

















<h3>know more :-</h3>
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Answer:
The probability that exactly one switch is good is

Step-by-step explanation:
The probability that a switch is defective is:

The probability that a switch is not defective is

Therefore, if two switches are selected, the probability that exactly 1 is good is:



Q1: 7×6 = 42
Q2: 42×1/8 = 42/8 = 5.25 (5 1/4) in^3
Q3: (0.5)^3 = 0.5×0.5×0.5 = 0.125 m^3
Q4: 4(5/2)^2 = 4×5/2×5/2 = 4×25/4 = 25 in^3
Q5: 3(13/2)(3/2) = 117/4 = 29.25 (29 1/4) in^3
Q6: (0.9)^3 = 0.729 cm^3
Answer:
A. E(x) = 1/n×n(n+1)/2
B. E(x²) = 1/n
Step-by-step explanation:
The n candidates for a job have been ranked 1,2,3....n. Let x be the rank of a randomly selected candidate. Therefore, the PMF of X is given as
P(x) = {1/n, x = 1,2...n}
Therefore,
Expectation of X
E(x) = summation {xP(×)}
= summation {X×1/n}
= 1/n summation{x}
= 1/n×n(n+1)/2
= n+1/2
Thus, E(x) = 1/n×n(n+1)/2
Value of E(x²)
E(x²) = summation {x²P(×)}
= summation{x²×1/n}
= 1/n