3t = 5(3-t)
3t = 15 - 5t
3t + 5t = 15
8t = 15
t = 15/8
t = 1 7/8
7/8 * 60 mins = 52.50 minutes
t = 1 hour and 52.5 minutes
It took Stu 1 hour and 52.5 minutes to hike the trail one way.
Answer:

Step-by-step explanation:
We are given that
Initial value problem
, y(3)=4
Substitute the value 
When t=3 and y=4 then
z=3+4=7

Differentiate z w.r.t t
Then, we get



Integrate on both sides


Substitute t=3 and z=7
Then, we get




Substitute the value of C then we get






Answer:
5901
Step-by-step explanation:
The margin of error is the critical value times the standard error.
ME = CV × SE
For α = 0.05, the critical value is z = 1.96.
The standard error of a proportion is √(pq/n). Given p = 0.04, then q = 1−p = 0.96.
The margin of error is 0.5% or 0.005.
Plugging in:
0.005 = 1.96 √(0.04 × 0.96 / n)
n ≈ 5901
Since the sum of all probabilities of all all elementary events will always be equal to 1. Furthermore, the probabilities of all mutually exclusive set of events that is part of the entire sample space will always be total of 1.
So in the problem, the answer is 1/8.
1/8 for red + 3/8 for green + 3/8 for yellow + 1/8 for blue = 8/8 or 1.
You want to round 905,154 to the nearest ten-thousands place. The ten-thousands place in your number is shown by the bold underlined digit here:
9<em><u>0</u></em>5,154
To round 905,154 to the nearest ten-thousands place...
The digit in the ten-thousands place in your number is the 0. To begin the rounding, look at the digit one place to the right of the 0, or the 5, which is in the thousands place.
Since the 5 is greater than or equal to 5, we'll round our number up by
Adding 1 to the 0 in the ten-thousands place, making it a 1.
and by changing all digits to the right of this new 1 into zeros.
The result is: 910,000.
So, 905,154 rounded to the ten-thousands place is 910,000.