The probability that Rachel will win the game is: 1/12
Step-by-step explanation:
The number cubes has six sides numbered between 1 to 6. the chances of each number are equally likely
Let S be the sample space
The sample space has 6*6 = 36 outcomes.
Now, Let A be the event that the sum of numbers on both number cubes is 10
A = {(4,6),(5,5), (6,4)
n(A) = 3

The probability that Rachel will win the game is: 1/12
Keywords: Probability, Sample
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Answer:
B ∩ (A ∪ C)'
Step-by-step explanation:
It's the B part excluding A and C union. Hence,
(A ∪ C)' ∩ B
Answer:
c. d = 5
Step-by-step explanation:
The difference in coordinates B and C is (14, 17) -(2, 1) = (12, 16). When the figure is scaled by 0.25, that difference becomes ...
0.25(12, 16) = (3, 4)
The length of a line segment with those coordinate differences is ...
d = √(3² +4²) = √25 = 5 . . . . matches selection c.
In case of dogs the value 10 is the minimum value. So all the values lie above 10. In total there were 100 dogs.
So for dogs, we can say number of dogs above the value of 10 pound are 100.
In case of Cats, 10 lies at the position of median. Median is the central value and 50% values lie above the median value. So number of cats with weight above 10 pound is 50.
Thus, we can conclude that there were 50 more dogs than the cats with weight over 10 pounds. So option C gives the correct answer.
According to the information given in the exercise:
• 1 meter of lightning cable weight 85 grams.
,
• An empty spool weighs 260 grams.
,
• Ted weighs the partly used spool shown in the picture and its total weight is 1540 grams.
Then, knowing this, let be "x" the number of meters of cable left on the spool.
You can set up the following using the information given in the exercise:

Knowing that:

You can set up that:

Therefore, solving for "x", you get:


Hence, you can conclude that the answer is: Second option.