What are the factors of 18, 19, and 200?
To find the factors of a number, we look for the whole numbers that can divide that number without leaving a remainder. Let’s break it down for each of the numbers you mentioned. Factors of 18: The factors of 18 are 1, 2, 3, 6, 9, and 18. This is because: 1 × 18 = […]
The likelihood that a particular event will occur is called
The likelihood that a particular event will occur is called probability. Probability is a branch of mathematics that deals with the chances of different outcomes occurring. It is a way of quantifying how likely or unlikely an event is to happen. For example, if you flip a coin, the probability of it landing on heads […]
What is the solution to the equation 6y^2 + 2y + 1 = 3y^2 + 6?
To solve the equation 6y² + 2y + 1 = 3y² + 6, we start by rearranging it to one side of the equation: 1. Move all terms to one side: 6y² + 2y + 1 – 3y² – 6 = 0 2. Combine like terms: (6y² – 3y²) + 2y + (1 – 6) […]
Find the Exact Value of Cos 132°
To find the exact value of cos 132°, we can use the cosine angle subtraction formula and reference angles. First, note that 132° lies in the second quadrant, where the cosine function is negative. The reference angle for 132° is calculated by subtracting it from 180°: Reference angle = 180° – 132° = 48°. Now, […]
What is the absolute value of the complex number 4 + 2i?
The absolute value (or modulus) of a complex number is a measure of its distance from the origin in the complex plane. For a complex number expressed in the form a + bi, where a is the real part and b is the imaginary part, the absolute value is calculated using the formula: |z| = […]
What is 17 6 as a mixed number?
To convert the improper fraction 17/6 into a mixed number, we need to divide the numerator (17) by the denominator (6). When we perform the division, 17 divided by 6 gives us 2 with a remainder of 5. This means that we can express 17/6 as: 2 (the whole number part) and 5/6 (the fractional […]
How is a rational number that is not an integer different from a rational number that is an integer?
A rational number is any number that can be expressed as a fraction, where the numerator is an integer and the denominator is a non-zero integer. So, both rational numbers that are integers and those that are not integers fall under this definition. The main difference lies in their value and representation. An integer is […]
A numerical value used as a summary measure for a sample such as sample mean is known as a
The numerical value you are referring to is called a statistic. In statistics, a statistic is a characteristic or measure obtained by using the data values from a sample. The sample mean is a common example of a statistic, which provides a centralized value that summarizes a set of observations. Other examples of statistics include […]
What is the sum of the measures of the exterior angles of a decagon?
The sum of the measures of the exterior angles of any polygon, regardless of the number of sides, is always 360 degrees. This rule holds true for a decagon, which has ten sides, just as it does for triangles, quadrilaterals, and any other polygon. To explain further, exterior angles are formed when a side of […]
What should be the next number in the following series 3, 9, 27, 81, 243?
The next number in the series is 729. This series is made up of powers of 3. We can observe the following: 3 is 31 9 is 32 27 is 33 81 is 34 243 is 35 As we can see, each number is obtained by multiplying the previous number by 3. Therefore, the next […]