Answer:
x=-1/2
Step-by-step explanation:
-6x-7=4x-2
-6x-7+6x=4x+6x-2
-7=10x-2
-7+2=10x-2+2
-5=10x
-5/10=10x/10
x=-1/2
Hope this helps!
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.
1.Identify the fractions. Using the distributive property, you’ll eventually turn them into integers.
2.For all fractions, find the lowest common multiple (LCM) -- the smallest number that both denominators can fit neatly into. This will allow you to add fractions.
3.Multiply every term in the equation by the LCM.
4.Isolate variables adding or subtracting like terms on both sides of the equals sign.
5.Combine like terms.
6.Solve the equation and simplify, if needed.
Answer:
The value of k is 11.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
2=(k-3)/(5-1)
2=(k-3)/4
2*4=k-3
8=k-3
k=8+3
k=11
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