Answer: x = 35
Step-by-step explanation:
The expected values of the binomial distribution are given as follows:
1. 214.
2. 21.
3. 31.
<h3>What is the binomial probability distribution?</h3>
It is the <u>probability of exactly 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
For item 1, the parameters are:
p = 3/7, n = 500.
Hence the expected value is:
E(X) = np = 500 x 3/7 = 1500/7 = 214.
For item 2, the parameters are:
p = 0.083, n = 250.
Hence the expected value is:
E(X) = np = 250 x 0.083 = 21.
For item 3, the parameters are:
p = 1/13, n = 400.
Hence the expected value is:
E(X) = np = 400 x 1/13 = 31.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
score = 63
Step-by-step explanation:
1. To write the proportion take the score of the test over the number of points and set it equal to the percent over 100
score 90
----------- = -----------
70 100
Using cross products
100 * score = 90*70
100 score = 6300
Divide by 100
100/100 * score = 6300/100
score = 63
The slope of the line represented by this equation is 4/5.
We know this because this line is in slope-intercept form, y=mx+b, where m represents the slope and b represents the y-intercept. Thus, we can conclude that the slope is 4/5, which means that for every 4 units the line moves up, it also moves 5 units over (because slope is defined as rise/run).
Hope this helps!
I think he should order a kite only because it fits more with the circus.
