Answer:
Answer to first question is:
You can convert all fractions to decimals. The decimal forms of rational numbers either end or repeat a pattern. If the fraction is a mixed number, change it to an improper fraction. Divide the numerator by the denominator. If the division doesn't come out evenly, round the decimal off.
Answer to second question is: 0.222222
Answer to third question is: Yes
Step-by-step explanation:
Well the way I think of it is:
3/9 as a fraction is 1/3... so 1 divided by 3 equals 0.333333 repeating. You can even write it as:
_
0.3 with the fraction bar over it because it keeps repeating.
This goes for 2/9. All you have to do is do 2 divided by 9 and you get 0.222222 repeating. You can even write it as:
<h3>
_</h3>
0.2 with the fraction bar over it because it keeps repeating.
Hope this helps, have a good day. c;
Answer:
4
Step-by-step explanation:
n+6=10
n=10-6
n=4
Answer: -5100
<u>Step-by-step explanation:</u>
![\sum^4_1[100(-4)^{n-1}]\qquad \rightarrow \qquad a_1=100\ \text{and r = -4}\\\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\\\\\S_4=\dfrac{100(1-(-4)^4)}{1-(-4)}\\\\\\.\quad=\dfrac{100(1-256)}{1+4}\\\\\\.\quad=\dfrac{100(-255)}{5}\\\\.\quad=20(-255)\\\\.\quad=-5100\\](https://tex.z-dn.net/?f=%5Csum%5E4_1%5B100%28-4%29%5E%7Bn-1%7D%5D%5Cqquad%20%5Crightarrow%20%5Cqquad%20a_1%3D100%5C%20%5Ctext%7Band%20r%20%3D%20-4%7D%5C%5C%5C%5C%5C%5CS_n%3D%5Cdfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%5C%5C%5C%5C%5C%5C%5C%5CS_4%3D%5Cdfrac%7B100%281-%28-4%29%5E4%29%7D%7B1-%28-4%29%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%281-256%29%7D%7B1%2B4%7D%5C%5C%5C%5C%5C%5C.%5Cquad%3D%5Cdfrac%7B100%28-255%29%7D%7B5%7D%5C%5C%5C%5C.%5Cquad%3D20%28-255%29%5C%5C%5C%5C.%5Cquad%3D-5100%5C%5C)
Answer:
Step-by-step explanation:
Theortical probability
A = 1/4
B = 1/3
C = 5/12
Experamental probability
A = 18/60 = 3/10
B = 20/60 = 1/3
C = 22/60 = 11/30
The square has equal sides measuring 52 inches, since the circle inside the square touched the side of the square, that makes the diameter of the circle to have an exact size with the side of the square which is 52 inches. To find out the area or square inches of cloth that was cut from the square, is to find out the area of the circle itself. Using the formula in getting the area of a circle, which is pi multiplied by the radius squared. Represent pi with 3.14 rounded up to the tenths place and multiply it with the radius that would be the half of the diameter of the circle which is 52, you'll get 26 and multiply 26 by 26, you'll have the answer of 2,122.64 square inches.
