(5*12*12)/2
5*6*12
Assuming simplified means the last answer
360
A coin has one of two outcomes: heads or tails.
Each has an equal probability of occurring, meaning that they each have a 50% chance to occur. (They need to add up to 100% because they include all the outcomes, divide that into two equal parts and...)
This is what we call theoretical probability. It's a guess as to how probability <em>should</em> work. Like in the experiment, it's not always going to be 50-50.
What <em>actually happens</em> is called experimental probability. This may vary slightly from theoretical probability because you can't predict probability with complete certainty, you can only say what is <em>most likely to happen</em>.
We want to find the probability of getting heads in our experiment so we can compare it to the theoretical outcome. To do this, we need to compare the number of heads to the total number of outcomes.
We have 63 heads, and a total of 150 coin flips.
That makes the probability of getting a heads 63/150.
The hard part is getting this ratio into a percent.
You can try simply dividing, but you should be able to notice something here.
SInce the top and the bottom of our fraction are both divisible by 3, we can <em>simiplify</em>.
63 ÷ 3 = 21
150 ÷ 3 = 50
So we could say that 63/150 = 21/50.
A percent is basically a fraction out of 100.
Just like you can divide the parts of a ratio by the same number and it will stay the same, you can also multiply. To get the fraction out of 100, let's multiply by 2.
(since 50 × 2 = 100)
21 × 2 = 42
50 × 2 = 100
21/50 = 42/100 = 42%
Comparing our experimental probability to the theoretical one...it is 8% lower.
Answer:
1. Not possible
2. Possible
3. 24
4. C
5. D
Step-by-step explanation:
Some key concepts to remember:
- One -to -one means each element has an element only it matches to. This is only possible when sets have the same number of elements. #1 doesn't but #2 does.
- To determine the number of one-to-one correspondence, use a factorial with the number of elements. 4 is the number and the factorial is 4! = 4*3*2*1 = 24.
- n(A) means the cardinal number of the set or the number of unique elements. Elements count only once even if they repeat. There are 5 in #4 and 12 in #5.
15x12= 180
180/2=90
The area is 90