Answer:
19 letters
Step-by-step explanation:
Suppose Number of Amy's full name letters = X
Number of Stephanie's full name letters = Y
Now, according to given condition that ''number of letters in Stephanie's full name is sixteen less than twice the number of letters in Amy's full name'',
Equation 1 becomes
Y = 2X-16
Now, according to second condition, product of their names' letter is 418. So,
Equation 2 becomes
XY = 418
Deducing value of X from equation 1,
X = (Y+16)/2
Putting this value in equation 2 we get,
{(Y+16)/2}*Y = 418,
By simplifying this equation we get a quadritic equation
(Y^2)+16Y-836=0
By breaking middle term (You can use quadratic formula here as well)
(Y^2)+38Y-22Y-836=0
Y(Y+38)-22(Y+38)=0
(Y-22)(Y+38)=0
At this stage we have two values for Y,
Y=22, or Y=-38
Now considering only positive value since the number of letters in a name can not be in negative number,
Y=22,
So X=(Y+16)/2
X=19
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:
10.2 minutes
Step-by-step explanation:
1 lap= 1/4 mile
2 laos= 1/2 mile
5.1 x 2= 10.2 minutes
Answer: 1st one
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
