To determine what 35 out of 60 represents, we can first look at it as a fraction, which is 35/60. This fraction can be simplified; both the numerator (35) and the denominator (60) can be divided by 5, giving us: 35 ÷ 5 = 7 60 ÷ 5 = 12 So, 35/60 simplifies to 7/12. … Read more
When we talk about exponents in mathematics, we often come across rules that help simplify calculations. One of these fundamental rules states that any non-zero number raised to the power of 0 equals 1. This might seem counterintuitive at first, but let’s break it down to understand why it holds true. In the case of … Read more
To calculate the probability of getting exactly 3 heads when tossing a fair coin 5 times, we can use the binomial probability formula: P(X=k) = C(n, k) × pk × (1-p)n-k Where: C(n, k) is the binomial coefficient (the number of ways to choose k successes in n trials), calculated as: C(n, k) = n! … Read more
The sine of 60 degrees is a well-known value in trigonometry. To find sin(60°), we can relate it to the properties of a 30-60-90 triangle. In such a triangle, the sides have specific ratios: the length of the side opposite the 30° angle is half the length of the hypotenuse, while the side opposite the … Read more
To convert a percentage to a fraction, we follow a straightforward process. In this case, we want to change 66.23% into a fraction. 1. First, recognize that percentages are based on 100. Therefore, we can express 66.23% as: 66.23% = 66.23 / 100 2. To eliminate the decimal point in 66.23, we can multiply both … Read more
To calculate what 23 percent of 8 is, you can follow a simple formula. First, you convert the percentage into a decimal by dividing it by 100. So, 23 percent becomes 0.23. Next, you multiply this decimal by the number you want to find the percentage of, which in this case is 8: 0.23 × … Read more
To convert 30 percent into a fraction, we start by understanding what the term ‘percent’ means. The word ‘percent’ comes from the Latin ‘per centum’, which means ‘by the hundred.’ Therefore, 30 percent can be expressed as: 30% = 30/100 Next, we simplify the fraction 30/100. To do this, we need to find the greatest … Read more
The range of a function is defined as the set of all possible output values it can produce. In this case, we are given a list of values: 2, 0, 4, 3, 2, 9, 0, 5, 5, 7. To find the range, we first need to identify the unique values from this list. We can … Read more
The term “mod” stands for modulo, which is a mathematical operation that finds the remainder when one number is divided by another. In this case, we want to calculate 1 mod 3. To perform this operation, we divide 1 by 3. Since 1 is less than 3, it does not fully divide into 3. The … Read more
When you raise a negative number to the power of 2, you are essentially multiplying that negative number by itself. For example, if you take the negative number -3 and raise it to the power of 2, the calculation would look like this: -3 × -3 = 9 In this case, the two negative signs … Read more