What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns
1 answer:
Answer:
One-third
Step-by-step explanation:
we know that
The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle
step 1
Determine the area of triangle
step 2
Determine the area of the square
step 3
Determine the probability
simplify
therefore
One-third
You might be interested in
Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3
Std dev = square root of variance = 0.9
------------------------------------
b) For sample mean we have
Mean = 5.3
Variance = var(x)/n =
c)
Answer: The meaning of each term of the Madison’s and Tyler’s expressions is mentioned below.
Step-by-step explanation:
Since, when Madison starts with a population of 1,000 amoebas that triples in size every hour for a number of hours, h.
That is, after 1 hour total number of amoebas = 3×1000 =
After 2 hour, total number of amoebas = 3×3000=
After 3 hour, total number of amoebas = 3×9000=
similarly, after h hours, total number of amoebas,
f(h) =
where, 1000 is the initial population of amoeba 3 is the growth factor of population and f(h) is the population of amoeba after h hours.
Since, when Tyler starts with a population of 1 amoeba that increases 30% in size every hour for a number of hours.
That is, after 1 hour total number of amoebas =
After 2 hour, total number of amoebas =
After 3 hour, total number of amoebas =
Similarly, after h hours, total number of amoebas,
f(h) =
Where, 1 is the initial population of amoeba, 0.3 is the growth rate and 1.3 is the growth factor.