Answer:
Option C 5/12 is correct option
Step-by-step explanation:
We have to find the probability that shows yellow dice has a larger value than the red dice.
Probability= total no of favorable outcomes / total no of outcomes
in our case, considering the data set, we have to find those pair where value of yellow die is greater than the red die. Where (1,2) represents 1 on the red die and 2 on the yellow die
(1,2) (1,3) (1,4) (1,5) (1,6)
(2,3) (2,4) (2,5) (2,6)
(3,4) (3,5) (3,6)
(4,5) (4,6)
(5,6)
These are the possibilities where yellow die has greater value than red die.
total no of favorable outcomes = 15
total no of outcomes = 36
probability that yellow die has greater value than red die = 15 / 36
= 5/ 12
Option C 5/12 is correct option
Answer:
36 Treats
Step-by-step explanation:
The dog trainer started with a bag of 60 treats.
The dog trainer gives treats to 8 dogs with 3 treats meaning 8x3= 24
The trainer gave a total of 24 treats to the 8 dogs.
If the trainer had 60 treats at the start minus 24 (60-24=36).
That means the trainer now has a total of 36 treats left.
Answer:
29.49% probability that a production time is between 9.7 and 12 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.
![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-a%7D)
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.
This means that ![a = 8, b = 15.8](https://tex.z-dn.net/?f=a%20%3D%208%2C%20b%20%3D%2015.8)
What is the probability that a production time is between 9.7 and 12 minutes?
.
So
![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-a%7D)
![P(9.7 \leq X \leq 12) = \frac{12 - 9.7}{15.8 - 8} = 0.2949](https://tex.z-dn.net/?f=P%289.7%20%5Cleq%20X%20%5Cleq%2012%29%20%3D%20%5Cfrac%7B12%20-%209.7%7D%7B15.8%20-%208%7D%20%3D%200.2949)
29.49% probability that a production time is between 9.7 and 12 minutes
Step-by-step explanation:
porportional means they scale by the same ratio
L / W = L_1 / W_2 = 5.4 / 2.5 = 6.21 / x
solve for x
Answer:
x=11/5, or x=2.2.
Step-by-step explanation:
9-3(x+4)=2(x-3)-8
9-3x-12=2x-6-8
9-12-3x=2x-14
-3-3x=2x-14
-3-3x-2x=-14
-3-5x=-14
5x=-3-(-14)
5x=-3+14
5x=11
x=11/5
x=2.2