Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).
That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.
then we can write the following piecewise function to describe the situation:
f is a function from (0, 4] to {$7, $14, $21, $28}
Answer:
3x
Step-by-step explanation:
50 mi/hr × (1 hr / 60 min) × (200 gal / 500 mi) = ⅓ gal/min
(⅓ gal/min) × (t min) = x gal
t = 3x
Answer:
13
Step-by-step explanation:
→ Substitute 3 into 2x
2 × 3
→ Evaluate
f ( x ) = 6
→ Substitute x = 3 into 3x - 2
3 × 3 - 2
→ Evaluate
7
→ Find the sum of the 2 results
13
The probability would be 0.9738.
We first find the z-score for each end of this interval:
z = (x-μ)/(σ/√n) = (100-110)/(18/√49) = -10/(18/7) = -3.89
z = (x-μ)/(σ/√n) = (115-110)/(18/√49) = 5/(18/7) = 1.94
Using a z-table (http://www.z-table.com) we see that the probability that a score is less than the first z-score is 0. The probability under the curve to the left of, less than, the second z-score is 0.9738. Subtracting these we find the area between them:
0.9738 - 0 = 0.9738.
Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
Uniformly distributed between 0 and 20 minutes.
This means that 
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
![E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10](https://tex.z-dn.net/?f=E%5BT%5D%20%3D%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D%20%3D%20%5Cfrac%7B0%20%2B%2020%7D%7B2%7D%20%3D%2010)
E[T] = 10
