The answer is six. Relative frequency is a tool used for probability. It means using real-life outcomes to predict the probability of future outcomes. Since the realitive frequency of Barney's high school winning a match is 0.2, or
, that means that out of the past 30 matches only
were victories.
* 30 = 6, therefore only six out of the previous matches were wins.
Answer:
The numerator is 57 ⇒ B
The denominator is 78 ⇒ B
The value of the fraction is 73.1% ⇒ A
Step-by-step explanation:
Let us solve it step by step
∵ The loan is 12 month
∵ The numerator is after 6 month
- Put n = 1 in each bracket
∴ The numerator = {(1 + 11) + (1 + 10) + (1 + 9) + (1 + 8) + (1 + 7) + (1 + 6)}
∴ The numerator = {12 + 11 + 10 + 9 + 8 + 7}
∴ The numerator = {57}
The numerator is 57
∵ The denominator = {(n) + (n + 1) + (n + 2) + .......... + (n + 11)}
- Do the same as the numerator put n = 1
∴ The denominator = {1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}
∴ The denominator = {78}
The denominator is 78
Now find the value of the fraction
∵ The fraction = 
∴ Its value = 0.730769230
- Multiply it by 100%
∴ Its value = 0.730769230 × 100% = 73.0769230%
- Round it to the nearest tenth
∴ Its value = 73.1%
The value of the fraction is 73.1%
In order to factor this completely, we need to remove all common items.
The first thing to do is to recognize that y^2 is part of both addends, and can be removed. This gives us:
y^2(48x^4 + 243)
Now x is only in one addend, so that can't be factored out. The only thing left is to see if the numbers can be simplified. We can look immediately and see that 243 is not divisible by 2, so simplifying by taking out 2 is not an option. However, we might be able to divide by a different number.
If you can add up the numbers of a number and get a number divisible by three, then your number is divisible by three.
For example:
2+4+3=9, which is divisible by three. That means that 243 is also divisible by three.
4+8=12, which is divisible by three. That means 48 is also divisible by three.
We have just found out that both 48 and 243 can be divided by three, so 3 can be factored out.
This gives us:
3y^2(16x^4+81)
Please don't just take the answer I've given you and move on. Please try to read and understand my explanation, because while it is easy to cheat on homework, you can't cheat on quizzes and tests, so you need to try to understand the process. If anything that I wrote was confusing, just leave a comment and I will explain it as soon as I can. :)
Answer: Volume = 491.4
Step-by-step explanation:
You find the volume by multiplying (length x width x height)
9514 1404 393
Answer:
55° : 70°
Step-by-step explanation:
The sum of the two other angles is ...
180° -55° = 125°
The sum of the ratio units is 11+14 = 25. Each ratio unit stands for 125°/25 = 5°. Then the other two angles are ...
11×5° = 55°
14×5° = 70°
