<span>Since the triangles are right triangles, the hypotenuse can be calculated using the Pythagorean theorem:
5²+12²=x²
x²=25+144, x²=169⇒x=√169
x=13
The hypotenuse of a smaller triangle is 13 units.</span>
Answer:
The PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02
Step-by-step explanation:
Let x denote P(B=1), we know that
P(B=0) = 1-0.3 = 0.7
P(B=1) = x
P(B=2) = x/2
P(B=3) = x/4
P(B=4) = x/8
Also, the probabilities should sum 1, thus
0.7+x+x/2+x/4+x/8 = 1
15x/8 = 0.3
x = 0.16
As a result, the PMF of B is given by
P(B=0) = 0.7
P(B=1) = 0.16
P(B=2) = 0.08
P(B=3) = 0.04
P(B=4) = 0.02
Answer:
Option B.
Step-by-step explanation:
In the question the number categories on the spinner are not given.
Consider there are 5 different categories on the spinner.
A = Spinner land on "Action".
So, probability of land on "Action" is
Number of spins, n= 60 times
The expected number of land on "Action" is
Therefore, the correct option is B.
The two equations would yield no solution if they are dependent. That means that both equations are equivalent. You can determine this by manipulating the equations through simplification. For example, a dependent equation would be:
3x - 4y = 2
3x/2 - 2y = 1
Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6
