Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Answer:
undefined
Step-by-step explanation:
To find the slope through 2 points
m = ( y2-y1)/(x2-x1)
= ( -4 - -3)/(3 - 3)
= ( -4+3)/(3-3)
= -1/0
Since it is a number divided by zero, the slope is undefined
Answer:
2 - x
Step-by-step explanation:
Add together any numbers that need to be together
5 - 2x - 3 + x
2 - x
Let me know if you need more of an explanation
Answer:
The length of this rectangle is 6 units.
Step-by-step explanation:
Let the width of the rectangle be x.
x • (x+2) = 48
x^2+2x=48
x^2+2x-48=0
x^2 - 6x + 8x - 48
x(x-6) 8(x-6)
(x+8)(x-6)
x=-8,6
