112338 rounded to the nearest thousands
2 answers:
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Answer
Find out the how long will it take Jennifer to catch Jeff.
To prove
Formula
let us assume that the distance be denoted by d .
let us assume that the time be denoted by t .
As given
Jeff is traveling from his home in Salem at a constant rate of 50 mph.
He has already traveled 20 miles .
As put the values in the formula
50t - 20 = d
(As jeff already travelled 20 miles distance.)
As given
His sister Jennifer is making the same trip but at a constant rate of 60 mph and has only traveled 5 miles.
than put the value in the formula
than the equation becomes
60t -5 = d
Than the two equation becomes
50t - 20 = d and 60t -5 = d
compare both the equation
50t - 20 = 60t -5
50t - 60t = 20 -5
- 10t = 15
t = -1.5
(As time cannot be negative.)
t = 1.5 hours
1.5 hours will it take Jennifer to catch Jeff.
Option (A) is correct .
Answer:
a) It can be used because np and n(1-p) are both greater than 5.
Step-by-step explanation:
Binomial distribution and approximation to the normal:
The binomial distribution has two parameters:
n, which is the number of trials.
p, which is the probability of a success on a single trial.
If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.
In this question:
So, lets verify the conditions:
np = 201*0.45 = 90.45 > 5
n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5
Since both np and n(1-p) are greater than 5, the approximation can be used.