Answer:
The answer to the question is;
The number of papers expected to be handed in before receiving each possible grade at least once is 14.93.
Step-by-step explanation:
To solve the question , we note that it is a geometric distribution question which have equal probabilities and therefore is a form of Binomial distribution with Bernoulli trials, where we are conducting the trials till we have r successes
Since we have r = 6, we will have to find the expected value of the number of trials till the nth paper handed in receives a previously awarded grade.
We therefore have,
The Probability that out of six papers turned 5 are different scores is given by
P(Y=5) = p'= q⁵p = (1-p)⁵p = 3125/46656
Therefore p' = the probability of receiving different grades once then the expected value is given by
E(X) = 1/p' = 46656/3125 = 14.93.
Answer:
5/2 is the slope
Step-by-step explanation:
Answer:
500.
Step-by-step explanation:
(1 * 10^6) / (2 * 10^3)
= 1/2 * 10^6/10^3
= 0.5 * 10^3
= 5 * 10^2
= 500.
Step-by-step explanation:
that means the center of the circle is exactly in the middle between the 2 points.
and since both points have the same x value (so, the diameter here is a vertical line), it is ready to get the y value of the middle : (-7 - 0) / 2 = -3.5
so, the coordinates of the center are (3, -3.5).
and that makes the standard circle equation
(x - h)² + (y - k)² = r²
to
(x - 3)² + (y + 3.5)² = 3.5² = 12.25
as h, k are the coordinates of the center, and r is the radius (half the diameter).
