Answer:
0.5996 is the probability that none contain high levels of contamination.
Step-by-step explanation:
We are given the following information:
We treat lab specimen containing high levels of contamination as a success.
P( lab specimen containing high levels of contamination) = 0.12
Then the number of lab specimens follows a binomial distribution, where
where n is the total number of observations, x is the number of success, p is the probability of success.
Now, we are given n = 4
We have to find the probability that none of the lab specimen consist of high level of contamination.
We have to evaluate:
0.5996 is the probability that none contain high levels of contamination.
Answer:
4. is not true
Step-by-step explanation:
t(x)/m(x) = (x-2)/(x-4)
Answer:
B. 6√2
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this out. The Pythagorean Theorem states that for any right triangle with the shortest sides (called legs) as a and b and the longest side (called the hypotenuse) as c:
a² + b² = c²
Here, a = b = 6, so:
6² + 6² = c²
36 + 36 = c²
72 = c²
c = √72 = 6√2
Now, we see the answer is B.
However, there's a trick to solving these kinds of problems. Notice that DEF is both an isosceles triangle and a right triangle. We call these 45-45-90 triangles because those are the angles of the triangle.
One characteristic of these types of triangles is that their leg to leg to hypotenuse ratio is 1 : 1 : √2, always. We could apply that here. We see that the legs are 6, so we could find the hypotenuse simply by multiplying 6 by √2, and we would get 6√2, which is exactly the value we obtained above.
Thus, the answer is B.
Answer:
The area of a horizontal cross section at a height is 
Step-by-step explanation:
Given that,
Height = 14 m
Radius = 2 m
Let V be the volume of a right circular cone
We need to calculate the value of R
Using given data

Put the value into the formula



We need to calculate the area of a horizontal cross section at a height y
Using formula of area

Put the value into the formula

Hence, The area of a horizontal cross section at a height is 
<span>The point estimate obtained from a sample of which of the following sizes would most likely be closest to the actual parameter value is 150.
It is said that the higher the point estimate, the better. I think this deals with the confidence level of the sample derived from the population. The higher the confidence level, the closer the point estimate is to the actual parameter value.</span>