Answer:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
![P(c \leq X \leq d) = \frac{d - c}{b - a}](https://tex.z-dn.net/?f=P%28c%20%5Cleq%20X%20%5Cleq%20d%29%20%3D%20%5Cfrac%7Bd%20-%20c%7D%7Bb%20-%20a%7D)
A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.
We can consider 8 am = 0, and 8:30 am = 30, so ![a = 0, b = 30](https://tex.z-dn.net/?f=a%20%3D%200%2C%20b%20%3D%2030)
Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Between 15 and 25, so:
![P(15 \leq X \leq 25) = \frac{25 - 15}{30 - 0} = 0.3333](https://tex.z-dn.net/?f=P%2815%20%5Cleq%20X%20%5Cleq%2025%29%20%3D%20%5Cfrac%7B25%20-%2015%7D%7B30%20-%200%7D%20%3D%200.3333)
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Answer:
1/6
Step-by-step explanation:
There are 6 sides on a die, labeled 1,2,3,4,5,6
P(6) = number of 6's / total numbers
= 1/6
A new born beluga weighs 6 times as much as a newborn muskox.
Yes, 3/4 is bigger than 3/5.
One way you can verify this is by drawing a bar model, and cut it into four. Color in three pieces.
Then, draw another bar model the same size as the first one, and cut it into five pieces.
Color in three pieces.
You can see that 3/4 has more shaded in area than 3/5.
Another way you can do this is by dividing the numerator by the denominator for both fractions.
Hope this helped.
Answer:
b=-2aH
Step-by-step explanation:
H=-b/2a
Apply cross multiplication
H×2a=-b
2aH=-b
In the question you are to find positive b not negative b so you have to take negative b to the left hand side of the equation to become positive b and take 2aH to the right hand side to become -2aH
therefore b=-2aH