Answer:
f(x)=x3−x2−6x2+16x−10
Step-by-step explanation:
If 3−i is a zero, then 3+i
must be a zero as they are conjugates:
f( x ) = ( x − 1 ) ( x − ( 3 − i )) ( x − ( 3 + i )) f ( x ) = ( x − 1 ) ( x2 − x ( 3 + i ) − x ( 3 − i ) + 9 + 1 ) f ( x )) ( x − 1 ) ( x2 − 6x + 10 ) f ( x ) = x3 − x 2 − 6 x 2 + 16x − 10
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:
The third X is 6. The fourth Y is 4.5
Step-by-step explanation:
The Rule : X is twice as large as Y. Y is half the size of X.
You can get this piece of information by looking at the different values.
For example, y=1 is x=2. This follows the rule. x=4 is y=2.
We have confirmed the rule is true, now we just need to carry the information into the other blocks!
Best of luck on the quiz! Please give brainliest if I helped you out!
The store clerk gave the customer:
Gas. . . . . . . . . 17.01
$5 ticket . . . . . . 5
$3 ticket . . . . . . 3
2 x $1 ticket . . . 2
Total. . . . . . . $27.01
The customer gave the store clerk:
$5 ticket . . . 5
$2 ticket . . . 2
cash. . . . . 100
Total. . . . $107
The store clerk owes the customer ($107 - $27.01) = $ 79.99 .
