<u>Answer: </u>
If A and B are independent events then P(A and B) = 6.
<u>Solution:
</u>
If A and B are two events and A and B are independent, then the probability that events A and B both occur is:
P(A and B) = P(A) x P(B) ------ (1)
From question given that
P(A) = 2 and P(B) = 3
On substituting the value of P(A) =2 and P(B) = 3 in equation (1),
P(A and B) = 2 x 3
P(A and B) = 6
Hence If A and B are independent events then P(A and B) = 6.
Answer:
Explanation: Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. ... If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.
Step-by-step explanation:
Answer:
Alternative D is correct
Step-by-step explanation:
For a relation to qualify as a function, a unique x value should be mapped to a unique y-value or unique x-values be mapped to the same y-value
Ok, so here's how you do it.Since you have those two 21s, you know those sides are equal, which means that you're gonna make an equation 38+2x=180 because all angles in a triangle have to equal 180 and whatever that x equal is also what that other missing angle is I think because of those two sides being equal and then you're going to solve that equation for x, so you wanna get x by itself. You subtract that 38 from the sides it's on and do the same to the other side, so 180-38, which equals 142. So now you have 2x=142, you have to get x by itself, so to do that you divide by 2 on both sides, so 142/2=71, so x=71.Hope that helps.
Answer:
b. 70
Step-by-step explanation:
The Binomial Coefficient can be used to calculate the number of ways objects can be arranged.
<u>Binomial Coefficient</u>
The exclamation mark "!" placed after a number means factorial and indicates to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
The Binomial Coefficient gives us the number of ways of picking "r" unordered outcomes from "n" possibilities.
As there are 8 friends ⇒ n = 8.
As each car takes 4 friends ⇒ r = 4.
Substitute these values into the formula:
Learn more about the binomial coefficient here:
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