Answer:
1) False
2) Option 2
Step-by-step explanation:
<u><em>1)</em></u> Given equation is
=>
<u><em>y in terms of x :</em></u>
=> 4y = 12 - x
=> y =
So, it is false, since y is not equal to 12-x
<u><em>2)</em></u> y = (Done in (1))
=> y =
=> y = (Option 2)
C.yes, because of ASA or AAS
Answer:
<u>Use Pythagorean theorem:</u>
#7
- 3² + 7² = 9 + 49 = 58
- (√57)² = 57
- 58 ≠ 57
- No
#8
- 11² + 2² = 121 + 4 = 125
- (5√5)² = 25*5 = 125
- 125 = 125
- Yes
Answer:
a)
b)
Step-by-step explanation:
Previous concepts
The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.
The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).
Solution to the problem
For this case we have defined the following random variable Y="number of moving violations for which the individual was cited during the last 3 years. "
And we have the distribution for Y given:
y 0 1 2 3
P(y) 0.6 0.2 0.15 0.15
Part a
For this case the expected value is given by:
And if we replace the values given we have:
Part b
For this case we have defined a new random variable representing a subcharge, and we want to find the expected amount for this random variable, using properties of expected value we have:
And we can find on this way:
And if we replace the values given we have:
And then replacing we got:
It is adding the answer is 22.5