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=22/p
Step-by-step explanation:
1. Add 18 to 4
2. px=22
3. Divide by p to isolate x
4. 22/p=x
Answer:
BC ≈ 14 units
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
BC² + AB² = AC²
BC² + 18² = 23²
BC² + 324 = 529 ( subtract 324 from both sides )
BC² = 205 ( take square root of both sides )
BC = 
= 14.317.. ≈ 14 units ( to the nearest unit )
Answer:
Inequality 7n - 22 >= 64
Solution 7n > = 64 + 22
7n >= 86
n => 12. 28 rounded down to 12
Grace must wash at last 12 cars
Answer:
63.5
Step-by-step explanation:
using soh-cah-toa, you can determine that the x and the value given are sin(theta). Sin is opposite over hyp.
thus,
once you solve that you get the angle x equals to 63.4746 which can be rounded to 63.5°
hope this helps!
