Y - y₁ = m(x - x₁)
y - 3 = 4(22 - 2)
y - 3 = 4(20)
y - 3 = 80
+ 3 + 3
y = 83
Answer:
417.084
Step-by-step explanation:
9*6.5+12*9.757+14*17.25
58.5+117.084+241.5
⇒417.084
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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Given:
The height of a golf ball is represented by the equation:
To find:
The maximum height of of Anna's golf ball.
Solution:
We have,
Differentiate with respect to x.
For critical values, 
.
Differentiate y' with respect to x.
Since double derivative is negative, the function is maximum at .
Substitute in the given equation to get the maximum height.
Therefore, the maximum height of of Anna's golf ball is 6.25 units.
