Answer:
a)
b)
And replacing we got:
c)
d)
e)
f)
And replacing we got:
And the variance would be:
And the deviation:
Step-by-step explanation:
We have the following distribution
x 0 1 2 3 4
P(x) 0.2 0.3 0.1 0.1 0.3
Part a
For this case:
Part b
We want this probability:
And replacing we got:
Part c
For this case we want this probability:
Part d
Part e
We can find the mean with this formula:
And replacing we got:
Part f
We can find the second moment with this formula
And replacing we got:
And the variance would be:
And the deviation:
Answer:
A C
Step-by-step explanation:
A
A is true.The numerator does have 3 terms. The constant term (the 3 at the end) is still a term and counts as a term.
B
A constant term does not count as a coefficient so b is not right, just as you have indicated by not underlining it.
C
C is true. In fact, 2 is the leading coefficent of the denominator.
D
Either A is true or D is, but I don't think they both are. You need a modifier to claim that D is true. If the statement said the numerator has <em>at least </em>2 terms then both A and D would be true. Without the at least, you have to pick one and the one I choose is A
E
This is the tough one. Very sticky. You would think it is true, but it isn't. A constant term is not a coefficient. Coefficients only count when they are with "x"s.
Answer:
Step-by-step explanation:
The expected value is the probability of an event multiplied by the number of times the event happens. And if there is more than 1 event, the expected value is the sum of those.
There are 52 cards in a deck.
There are 12 face cards in a deck. (gain 10)
There are 4 ace in a deck. (gain 20)
Any other card is 36 of them. (lose 5)
The probability of face card is 12/52
The probability of ace is 4/52
The probability of any other card is 36/52
Thus the expected values is:
(12/52)(10) + (4/52)(20) + (36/52)(-5) = $0.38
93% of 149
10% of 149 = 14,9
93% of 149 > 90% of 149
93% of 149 > 149 - 14,9 ≈ 149-15≈134
> 134
⇒ the answer is D
Answer:
Option D is correct that is The Slopes of two lines are negative reciprocals.
Step-by-step explanation:
Perpendicular lines are the lines which intersect each other at right angle or make 90° angle with each other.
we that the Slope of perpendicular lines are equal to -1
Therefore, Option D is correct that is The Slopes of two lines are negative reciprocals.