Answer:
a. The mean would be 0.067
The standard deviation would be 0.285
b. Would be of 1-e∧-375
c. The probability that both of them will be gone for more than 25 minutes is 1-e∧-187.5
d. The likelihood of at least of one of the taxis returning within 25 is 1-e∧-375
Step-by-step explanation:
a. According to the given data the mean and the standard deviation would be as follows:
mean=1/β=1/15=0.0666=0.067
standard deviation=√1/15=√0.067=0.285
b. To calculate How likely is it for a particular trip to take more than 25 minutes we would calculate the following:
p(x>25)=1-p(x≤25)
since f(x)=p(x≤x)=1-e∧-βx
p(x>25)=1-p(x≤25)=1-e∧-15x25=1-e∧-375
c. p(x>25/2)=1-p(x≤25/2)=1-e∧-15x25/2=1-e∧-187.5
d. p(x≥25)=1-e∧-15x25=1-e∧-375
Answer:
x = 105.4
Step-by-step explanation:
We are given;
Log 3 + log x = 5/2
We are required to find x;
We are going to use the laws of logarithms to solve for x
That is;
log a + lob b = log(ab)
Therefore;
Log 3 + log x = 5/2
we get;
log 3x = 2.5
But;
Given, logₐb= x , then b = a^x
In this case;
log 3x = 2.5
we get , 3x = 10^2.5
That is , 3 x = 316.227
x = 105.4
Thus, the value of x is 105.4
Answer:
1. the two top drawings
2. B, C
Step-by-step explanation:
1. the two top drawings
2. B, C
Answer:
2.25
Step-by-step explanation:
in order to find the scale factor from A to B you need to divide B by A. 13.5÷6=2.25. 11.25÷5=2.25 and 4.5÷2=2.25.
therefore the scale factor is 2.25 because when you multiply the sides from A by 2.25 you get the length of the side from B.