Answer:
Step-by-step explanation:
We can use the Pythagorean theorem to find the length of the diagonal since drawing a diagonal across a rectangle results in two right angle triangles.
Length of diagonal (The length of the diagonal can be thought of as the hypotenuse of one of the right angle triangles)
∴ The length of the diagonal is
Hope this helps :)
Part (a)
The experimental or empirical probability is based on the results shown in the table. There are 13 instances of grey out of 50 spins total. Therefore, we end up with an experimental probability of 13/50. This converts to the decimal form 0.26
<h3>Answer: 0.26</h3>
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Part (b)
Since each slice is of equal size, this means theoretically each slice should have the same chance of being landed on. We have 3 grey slices out of 10 total. The probability of landing on a grey space is 3/10 = 0.3
<h3>Answer: 0.3</h3>
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Part (c)
<h3>Answer: Choice A) </h3>
As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.
The theoretical probability is locked to 0.3 the whole time (only the experimental probability changes). This is according to the Law of Large Numbers.
Answer:
Slope = -3.000/2.000 = -1.500
x-intercept = 62/3 = 20.66667
y-intercept = 62/2 = 31
Step-by-step explanation:
Answer:
Area = length x width
21 = (2w-1)w
21 = 2w^2 -w
2W^2 - w -21=0
(2w-7 )(W +3)=0
2W-7=0 or w+3=0
W=7/2 or w=-3
Width cannot be negative.
So width is 7/2=3.5
Then the length is 6
Arthur must earn $53 in the next week