Answer:
8.48
Step-by-step explanation:
36 + 36 = 72
t^2 = 72
t = 6
= 8.48
You could simulate this by allowing the numbers 1-4 to represent a correct answer and the numbers 5-6 to represent an incorrect answer. This would have a 2/3 probability of the question in the simulation being correct.
X=number of hours that the first plane had been traveling.
(x-2)=number of hours that the second plane had been traveling.
we can suggest this equation:
500x+550(x-2)=3100
Now, we can solve this equation:
500x+550(x-2)=3100
500x+550x-1100=3100
1050x=3100+1100
1050x=4200
x=4200/1050
x=4
Answer:
Equation: 500x+550(x-2)=3100
The amount hours, after the first plane left , when the planes will be 3100 miles would be 4 hours.
Answer:
There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.
In this problem
Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, so 
What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds?
That is 
So



has a pvalue of 0.7549.
This means that
.
We also have that


There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.
Answer:
let, one number be x
then, other number be x-3
X+X-3=15
or, 2X=15+3
or,2X=18
or,X=18÷2
or,X=9
one number =9
then another number=X-3=9-3=6