Answer:
[0.875;0.925]
Step-by-step explanation:
Hello!
You have a random sample of n= 400 from a binomial population with x= 358 success.
Your variable is distributed X~Bi(n;ρ)
Since the sample is large enough you can apply the Central Limit Teorem and approximate the distribution of the sample proportion to normal
^ρ≈N(ρ;(ρ(1-ρ))/n)
And the standarization is
Z= ^ρ-ρ ≈N(0;1)
√(ρ(1-ρ)/n)
The formula to estimate the population proportion with a Confidence Interval is
[^ρ ± 
*√(^ρ(1-^ρ)/n)]
The sample proportion is calculated with the following formula:
^ρ= x/n = 358/400 = 0.895 ≅ 0.90
And the Z-value is 
≅ 1.65
[0.90 ± 1.65 * √((0.90*0.10)/400)]
[0.875;0.925]
I hope you have a SUPER day!
Answer:
$12.10
Step-by-step explanation:
Divided 48.40/4
It would be 2.1 hours or about 2 hours.
It says the train travels about 2118 miles per 8 miles. So, divide 2118 by 8, which gives you 264.75 (when you see the word PER it usually indicates to divide). That gives you part A.
Then, you divide 560, (which is t<span>he distance between Columbus, Ohio, and New York) by 264.75 to see how many hours it took, which gives you 2.1152030217...., which simplifies to 2.1. Which gives you the answer for B.
So,
A is 560 and
B is 2.1 or 2
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Answer: $5100
Step-by-step explanation:
Given, The prize money starts at $20 for the first question.
Let a= 20,
Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.
i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....
That is its is an geometric progression with the common ratio r= 2,
Since the sum of n terms in GP is given by :-
So the total money will it hand out in prizes after 8 questions would be :
Hence, the total money it will hand out in prizes = $5100
Chileeeeeeeeeeeeeeeeeeeeeeeeeee
