Answer:
P=1/65.
Step-by-step explanation:
We knaow that one coin in a collection of 65 has two heads. If a coin, chosen at random from the lot and then tossed, turns up heads 6 times in a row. We calculate the probability that it is the two-headed coin.
We calculate the number of possible combinations:
Number of favorable combinations is 1.
Therefore, the probability is
P=1/65.
Y = -8x - 5/4......slope here is -8 or -8/1
y = 1/8x + 4/5...slope here is 1/8
what u have here are negative reciprocal slopes....negative reciprocal of a number can be found by flipping the number and changing the sign. So the negative reciprocal of -8/1 is 1/8 (see how I flipped the number and changed the sign)...and when u have negative reciprocal slopes, this means that ur lines are perpendicular.
Answer: The simplified answer will be: x^5
Step-by-step explanation:
x4x
=x4*x1
=(x*x*x*x)*(x)
=x*x*x*x*x
=x^5
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
7y-2=5y+4
+2 +2
__________
7y= 5y + 6
-5y -5y
__________
2y= 6
Y=3
3x+2=23
3x =21
x= 7
7(3) -2= 5(3)+4
19=19
x=19
3(7)+2=23
23= 23
Y=23
Adding and subtracting property