To find the z-score that separates the bottom 90% from the top 10% in a standard normal distribution, we need to locate the value that corresponds to the cumulative probability of 0.90. The standard normal distribution is characterized by a mean of 0 and a standard deviation of 1. The z-score is a statistical measurement … Read more
Understanding Parallelograms and Their Types In geometry, a parallelogram is a four-sided figure (a quadrilateral) where both pairs of opposite sides are parallel. Because of this property, parallelograms share various characteristics, such as opposite angles being equal and adjacent angles being supplementary. Types of Parallelograms Several quadrilaterals fall under the classification of parallelograms. Here are … Read more
Finding the prime factors of a number is a fundamental concept in number theory that allows us to break down composite numbers into their basic building blocks. Here’s a step-by-step guide on how to find the prime factors of a number: Step 1: Understand what prime numbers are Prime numbers are natural numbers greater than … Read more
To solve the problem of dividing x³ + 6 by x², let’s break the expression down step by step. 1. **Identify the terms**: The expression we are dividing is x³ + 6. Here, x³ is a polynomial term, and 6 is a constant. 2. **Set up the division**: We will divide each part of the … Read more
To find the value of r in the equation 4r – 8 = 5r – 12, we will follow these steps: Isolate the variable r: Start by getting all terms involving r on one side of the equation and constant terms on the other side. Add 8 to both sides: 4r – 8 + 8 … Read more
The perimeter of a parallelogram can be calculated using the formula: Perimeter = 2 × (Length + Width) In this case, we can identify the lengths of the sides of parallelogram LMNO: Length (LM) = 22 cm Width (MN) = 18 cm Now, substituting the given values into the formula we have: Perimeter = 2 … Read more
The probability of any event is a measure of how likely it is to occur, typically expressed as a number between 0 and 1, or alternatively as a percentage between 0% and 100%. For an event that is certain to occur, we assign a probability of 1 (or 100%). This means that there is no … Read more
To calculate the final price of an item after a store applies a markup, you first need to understand how the markup percentage works. In this case, the store buys an item for $50. A markup of 100% means that the store is adding an amount equal to the cost of the item to its … Read more
The length of a line segment is determined by the distance between its two endpoints. In this context, we have four different line segments: 9 units, 12 units, 15 units, and 18 units. To break it down: LJ = 9 units: This segment measures 9 units in length. LJ = 12 units: This segment measures … Read more
The function you provided is a linear equation in the slope-intercept form, which is expressed as y = mx + b. In this equation, m represents the slope of the line, and b represents the y-intercept. For the function f(x) = 4x + 12, we can identify the values directly: Slope (m): 4 Y-intercept (b): … Read more