Answer:
x=16°
Step-by-step explanation:
5*x-30=2*(x+18)
For the second, I'd say it is:
5*x-30=2*x+18
Let's solve both.
5*x-30=2*(x+18)
5x-30=2x+36
3x=66
x=22
5*x-30=2*x+18
3x+48
x=16°
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.
2/5(x - 1) < 3/5(1 + x)
To find the solution, we can use the distributive property to simplify.
2/5x - 2/5 < 3/5 + 3/5x
Multiply all terms by 5.
2x - 2 < 3 + 3x
Subtract 2x from both sides.
-2 < 3 + x
Subtract 3 from both sides.
-5 < x
<h3><u>The value of x is greater than the value of -5.</u></h3>
