Using the binomial distribution, it is found that:
- The mean of X is of 0.72.
- The standard deviation of X is of 0.81.
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
The standard deviation of the binomial distribution is:
For this problem, the parameters are given as follows:
n = 8, p = 0.09.
Hence the mean and the standard deviation are, respectively:
- E(X) = np = 8 x 0.09 = 0.72.
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Answer:
25 : 4
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of area = a² : b²
For the given figures the ratio of corresponding sides is
JK : EF = 20 : 8 = 5 : 2 , thus
ratio of areas = 5² : 2² = 25 : 4
Answer: B) James Madison
Step-by-step explanation:
Answer:
From the level of high tide to low tide, it's 18 feet.
Step-by-step explanation:
To find the change in water level, we multiply the rate (3 ft / hr) by the time (6 hrs), obtaining 18 ft.
The water level changes by 18 ft.
A triangle is a polygon with three edges and three vertices, perimeter of ΔABC = 36cm.
<h3>Congruent triangles are what?</h3>
Congruent triangles are two triangles that are identical in terms of their size and shape. One of two congruent triangles remains congruent even if it is rotated, flipped, or turned. Two triangles must have the same sides in order for them to have the same angles and, as a result, to be congruent.
Triangles with equal measures are congruent.
36cm = perimeter of ΔABC
Here we have,
ΔABC ≅ Δ XYZ
So,
Therefore, perimeter of ΔABC = 36cm
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