Fractions and Percentages

In a normal distribution, approximately 68.26% of the data falls within one standard deviation (plus or minus) of the mean. 95.46% falls within two standard deviations, and 99.73% falls within three standard deviations. This is known as the Empirical Rule.

200% of 14 is 28. The equation is (x/100) * 80 = 28. Solving for x: 0.8x = 28 -> x = 28 / 0.8 = 35.

x% of y is (x/100)*y. y% of x is (y/100)*x. Since multiplication is commutative, (x*y)/100 = (y*x)/100. Thus, the missing value is x.

10% of 20 = 2. 20% of 10 = 2. Sum = 4. 2% of 200 = 4. The statement '10% of 20 plus 20% of 10 equals 2% of 200' is mathematically correct.

Divide 30 by half means 30 divided by 1/2, which is 30 multiplied by 2, giving 60. Adding 10 gives 70. A common mistake is interpreting 'divide by half' as 'divide by 2' which would give 15, then adding 10 to get 25.

To find the percentage, divide 15 by 26 and multiply by 100. (15 / 26) * 100 equals approximately 57.69, which rounds to 57.7. The other options are mathematically incorrect calculations of the ratio between these two specific numbers.

If 20% of x = 25, then x = 125. The individual digits are 1, 2, and 5. The squares are 1, 4, and 25. The sum of squares is 1+4+25 = 30. 50% of 30 is 15.0.

When comparing fractions with the same denominator, the fraction with the larger numerator is greater. Since 4 > 3, 4/5 > 3/5. You can also convert to decimals: 0.8 > 0.6.

The answer is 175%. We're asked what percentage of x is (2x-y). Since x/y = 4, we can say y = x/4. Then 2x - y = 2x - x/4 = (8x - x)/4 = 7x/4 = 1.75x. To find what percentage of x this is: (1.75x / x) × 100 = 175%. The expression (2x-y) equals 175% of x.

In the Duckworth-Lewis method for rain-affected cricket matches, G50 represents the average score in a 50-over innings. The value 235 was the standard G50 used in calculations, though some sources document it as 245 depending on the version and timeframe.

Calculate each term: 20% of 5 = 0.2 × 5 = 1. And 5% of 20 = 0.05 × 20 = 1. So 1 + 1 = 2. This demonstrates that both expressions give the same result, making the calculation straightforward.

To solve this problem, the user needs to know how to convert a percentage to a decimal and how to solve basic algebraic expressions.

Let x be the unknown number. The problem states that this number is equal to 20 plus 20% of its value.

Thus, we can write the following equation:

x = 20 + 0.2x

Simplifying this expression by subtracting 0.2x from both sides:

0.8x = 20

Dividing both sides by 0.8:

x = 25

Therefore, the correct answer is:

The Answer is: C. 25

The egg shell accounts for approximately 12% of the total egg weight, with the albumen (egg white) making up about 60% and the yolk about 30%. The remaining percentage consists of the shell membranes and air cell.

1/3 is approximately 0.333. 15/46 is approximately 0.326, which is less than 0.333. 22/62 is 0.354, which is greater than 1/3.

If 0.6a = 1.2b, then a = 2b. Substituting a = 2b into the expression 2a - 4b gives 2(2b) - 4b, which is 4b - 4b = 0. Therefore, the result is always zero regardless of the values of a and b.