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
12x>5(x-2)
12x>5x-10
12x-5x>-10
7x>-10
x>-10/7 or (-10/7, +∞)
Answer: x>-10/7 or (-10/7 , +∞)
Notice that 36.6 = 37 - 2*0.2 and 37.4 = 37 + 2*0.2, so the range of temperatures 36.6 to 37.4 fall within 2 standard deviations of the mean. The empirical rule says the approximate percentage of humans with body temperatures in this range is 95%.
Answer:
22.36 feet
Step-by-step explanation:
This situation forms a right triangle, where the wire is the hypotenuse
Use the pythagorean theorem to find the hypotenuse/wire length:
a² + b² = c²
20² + 12² = c²
400 + 144 = c²
544 = c²
22.36 = c
So, the wire is 22.36 feet long