A).
The first cube can land in any one of 7 ways. For each of those . . .
The second cube can land in any one of 7 ways.
Total number of possible results = (7 x 7) = 49 .
Number of successful results (both land on 7s) = 1
Probability = 1/49 = 2.04% .
B).
This is a trick question.
Two dice can only show 2 numbers at a time.
The probability of any combination of 3 numbers is zero.
Answer:
Step-by-step explanation:
This is a question that uses the Pythagorean Theorem.
a = 35 feet
b = x which is the height of the tree.
c = 3*x + 1 so we are trying to find x. Substitute into a b and c
a^2 + b^2 = c^2
35^2 + x^2 = (3x + 1)^2
35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.
35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.
0 = 8x^2 + 6x + 1 - 35^2
0 = 8x^2 + 6x - 1224
Does this factor?
(x + 12.75)(x - 12)
x - 12 = 0 is the only value that works.
x = 12
The tree is 12 feet high.
Note: I used the quadratic formula to solve this.
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Answer:
9
Step-by-step explanation:
