Answer:
Quick answer: 1756
Step-by-step explanation:
I'll be commenting on my own answer with an easy to understand explanation on how I got this answer
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.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
6.3%
Step-by-step explanation:
We're gonna use the simple interest formula: A = P(1 + rt)
A = Final amount (500 + 15.75 = 515.75)
P = Starting amount (500)
r = rate (?)
t = number of years (.5 since it's been half a year)
515.75 = 500(1 + 0.5r)
Disitribute the 500 to the equation inside the parenthesis
515.75 = 500 + 250r
Subtract 500 from both sides
515.75 = 500 + 250r
- 500 - 500
15.75 = 250r
Divide both sides by 250
15.75/250 = 250r/250
r = 0.063
As we can see, the line crosses the x-axis at (-2, 0). If we climb three units up from -2 and then go one unit to the right, we arrive at the next point on the line.
Since we climbed three points and went to the right one point, our slope = 3/1. But, we can reduce that.
Slope = 3/1 = 3
