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. 74 because 8(10) - 6
2.4(4) - 5(3) = 1
3. 7(3)+8(4) * 2 = 106
4. A
5.a
6. 20.5
7.26
8.a
9.a
10a
Step-by-step explanation:
Answer:
None of these choices are correct.
Step-by-step explanation:
If a bond is quoted at 99.875, it means that it is sold at 99.875% of the face value;
Face value = 1000
Therefore, Price = 0.99875 * 1000
Price = $998.75
If Leona pays 5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;
5.5% of 998.75 is;
0.055*998.75 = $54.93
The total cost = $998.75 +$54.93
= $1053.68
Therefore, none of the given choices is correct.
Answer with Step-by-step explanation:
Let A is non-singular
We have to prove that 
is unique.
Suppose B and C are inverse of A such that
and AC=I
By using property 
Hence, the inverse of A is unique.
The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.
