When throwing fair dice, all six faces of each die are equally likely. there are thirty-six total possible outcomes (any of the
six faces of die a can be matched with any of the six faces of die b). what is the probability the sum of the pips (spots) on the two faces is at least 9?
1 answer:
Answer:
Probability of sum of pips on two faces is at least 9 =
Step-by-step explanation:
Experiment: Throwing two fair dice.
Total no of Outcome = = 36
Sample space (list of outcome) is attached.
Let E be the event that sum of pips on two faces is at least 9.
Favorable outcome are where sum is 9 , 10 , 11 and 12.
From Sample space, No. of Favorable outcome = 10
∴
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Answer:
0.034921 miles or 1843774 feet tall
Step-by-step explanation:
Using trigonometric functions we know that and
where
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First we will calculate the hypotenuse using the x equation, since we know x = 1 mile (distance from the building on the ground) we have:
Now we will calculate the height of the building using the y equation and so:
The building is 0.034921 miles or approximately 184.3774 feet tall.
C=d
92×3.14
C=288.88
Hope this helps <3
92×3.14
C=288.88
Hope this helps <3
Answer:
14 pints of 20% juice
56 pints of 95% juice
Step-by-step explanation:
Let
x be pints of 20% pure fruit juice, thus
70 - x will be pints of 95% pure fruit juice
The equation, thus can be written as:
20%x + 95% (70-x) = 80% (70)
Solving for x:
And 70 - x would be 70 - 14 = 56
Thus,
14 pints of 20% juice is needed, and
56 pints of 95% juice is needed