Answer: 8
Step-by-step explanation:
Answer:
AC = 13 units
Step-by-step explanation:
A(0 , -4) ; c(5 , 8)
Distance = 
![= \sqrt{(5-0)^{2}+(8-[-4] )^{2}} \\\\\\= \sqrt{5^{2}+(8+4)^{2}} \\\\\\=\sqrt{5^{2}+12^{2}}\\\\= \sqrt{25 + 144}\\\\= \sqrt{169} = 13 \\\\\\](https://tex.z-dn.net/?f=%3D%20%5Csqrt%7B%285-0%29%5E%7B2%7D%2B%288-%5B-4%5D%20%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%20%5Csqrt%7B5%5E%7B2%7D%2B%288%2B4%29%5E%7B2%7D%7D%20%5C%5C%5C%5C%5C%5C%3D%5Csqrt%7B5%5E%7B2%7D%2B12%5E%7B2%7D%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B25%20%2B%20144%7D%5C%5C%5C%5C%3D%20%5Csqrt%7B169%7D%20%3D%2013%20%20%20%5C%5C%5C%5C%5C%5C)
Answer:
a) 1/64
b) 1/4096
Step-by-step explanation:
As you can tell from the example, the exponent of 1/2 is the number of heads in a row.
a) p(6 heads in a row) = (1/2)^6 = 1/(2^6) = 1/64
b) p(12 heads in a row) = (1/2)^12 = 1/(2^12) = 1/4096
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<em>Additional comment</em>
The probability of a head is 1/2 because we generally are concerned with a "fair coin." That is defined as a coin in which each of the 2 possible outcomes has the same probability, 1/2. Similarly, a "fair number cube" has 6 faces, and the probability of each is defined to be the same as any other, 1/6. Loaded dice and unfair coins do sometimes show up in probability problems.
Answer:
x/8
Step-by-step explanation:
First, we are given "the quotient of...". This means that we are dividing something/something else. If two numbers are given in the phrase "something and something else", the first number given will be the something, and the second number will be the something else.
The first number listed is x. Therefore, we have
x/something else.
Next, we are given "and 8", so we have x/8 as our expression
