Answer:
P(rolling a 1) = 1/6, 1 in 6, or 0.17
Step-by-step explanation:
When you toss a die, there are 6 possible outcomes: {1, 2, 3, 4, 5, 6}. All have the same probability: 1 in 6, or 0.17.
Thus, P(rolling a 1) = 1/6, 1 in 6, or 0.17.
Answer:
He has had a quarter of the red one
Step-by-step explanation:
3/12 is 1/4 when simplified
The Pyth. Thm. applies here:
(√x + 1)^2 + (2√x)^2 = (2√x + 1 )^2
Expanding the squares:
x + 2sqrt(x) + 1 + 4x = 4x + 4sqrt(x) + 1
Let's subtract x + 2sqrt(x) + 1 + 4x from both sides:
4x + 4sqrt(x) + 1
-(x + 2sqrt(x) + 1 + 4x)
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3x + 2sqrt(x) - 4x = 0
Then 2sqrt(x) = x
Squaring both sides, 4x = x^2, or x^2 - 4x = 0. Then (x-4)x = 0, and the two possible solutions are 0 and 4.
Check these results by substitution. Does the Pyth. Thm. hold true for x=4?
Answer: an average of 13.5 mph is very respectable
Step-by-step explanation: