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:
w = - 3 and v = - 2
Step-by-step explanation:
Because w + 6 = 3 you would subtract 6 and whatever you do to one side you would do to the other.
w= - 3
15 + 45
GCF = 15
15/15 = 1
45/15 = 3
(15 * 1) + (15 * 3) =
15(1 + 3) <===
A y=3x because 3*1 is 3 and 3*2 is 6 and so on
Answer:
(4x^2 + 3)(x + 3)
Step-by-step explanation:
Split the equation in the middle so you can factor it out:
4x^3 + 12x^2 | + 3x + 9
Then factor out:
4x^2(x + 3) | 3(x + 3)
Congrats, you completed your equation:
(4x^2 + 3)(x + 3)
