Answer:
6
Step-by-step explanation:
XY = 3x – 1, YZ = 5, and XZ = 5x – 8,
We know that XY + YZ = XZ, so
3x - 1 + 5 = 5x - 8
3x + 4 = 5x - 8
3x + 12 = 5x
12 = 2x
6 = x
Answer: the last option.
A binomial experiment is an experiment with only two possible outcomes.
In the first option, there is three possible outcomes (i.e. A, B, C)
In the second option, there is four poissible outcomes (i.e. ace, king, queen, jack)
The third option has six possible outcomes (i.e. six faces of a die)
In the last option, there are two possible outcomes (i.e. '2 number cubes')
Answer:
x = 10
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve for the variable:
Divide by 75
... (1/5)^(x/5) = 3/75 = 1/25
Recognize that 25 = 5^2, so ...
... (1/5)^(x/5) = (1/5)^2
Equating exponents, you have
... x/5 = 2
... x = 10 . . . . . multiply by 5
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You can also start by taking logarithms:
... log(75) +(x/5)log(1/5) = log(3)
... (x/5)log(1/5) = log(3) -log(75) = log(3/75) = log(1/25) . . . . simplify the log
... x/5 = log(1/25)/log(1/5) = 2 . . . . . simplify (or evaluate) the log expression
... x = 10 . . . . . multiply by 5
_____
"Equating exponents" is essentially the same as taking logarithms.
Okay so probability is just percentage of a whole, right?
So you have 14 White Eggs + 15 Brown Eggs + 11 Lemons.
Add all those numbers together and you get your whole.
14 + 15 = 29 29+11 = 40
40 is your whole.
So because you want to know how likely it is to pick up an egg, you would follow these steps.
100/40 = 2.5 (For each part of the 40, it is worth 2.5 percent.)
2.5 x 29 = 72.5
Your probability of picking an egg out of the bask is 72.5 percent or 72.5 out of 100.
There are 3280.8399! Hope I helped!
