In a single experiment, a die is tossed and a spinner with the letters A, B, and C is spun. Each letter is equally likely. Find
2 answers:
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
A die is tossed and a spinner with letters A, B and C.
Number of letters in a spinner = 3
Number of outcomes in a die = 6
Each letter is equally likely occurred.
So, the number of elements in the sample space would be
Sample space would be
{1A,2A,3A,4A,5A,6A,1B,2B,3B,4B,5B,6B,1C,2C,3C,4C,5C,6C}
Number of outcomes of getting B = 6
So, Probability of getting B would be
Hence, Option 'B ' is correct.
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Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides: