John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Probability

Calculating Probability: Shaded Sector or Number > 6 in a Spinner – Example and Formula

What is the probability you will spin the spinner and get a shaded sector or a number greater than 6? To calculate the probability of landing on...

John Rhodes
July 6, 2023
Probability

Calculating the Probability of Rolling a Number More than 4 or an Even Number: Step-by-Step Guide with Example

Erica rolls a number cube. Find the probability that the roll was a number more than 4 or an even number. To find the probability that the...

John Rhodes
July 6, 2023
Probability

Calculating the Probability of a Coin Landing on Heads and a Number Cube Rolling an Even Number

Derek flips a coin and rolls a number cube at the same time. Find the probability that the coin came up heads and the number cube roll...

John Rhodes
July 6, 2023
Probability

Determining the Probability of Coin Tossing and Number Cube Roll

Derek flips a coin and rolls a number cube at the same time. Find the probability that the coin came up heads and the number cube roll...

John Rhodes
July 6, 2023
Calculus

Conditions ensuring the existence of f(2) in mathematical functions: Exploring continuity and differentiability at x = 2

Which of the following statements, if true, can be used to conclude that f(2) exists?i. limx→2f(x) exists.ii. f is continuous at x=2.iii. f is differentiable at x=2....

John Rhodes
July 6, 2023
Calculus

Finding the Average Rate of Change of a Function over an Interval: Calculation and Example with f(x) = 1 + 3cos(x)

The function f is given by f(x)=1+3cosx. What is the average rate of change of f over the interval [0,π] ? To find the average rate of...

John Rhodes
July 6, 2023
Calculus

Understanding the Average Rate of Change of a Function: Calculation and Explanation

Selected values of a function f are shown in the table above. What is the average rate of change of f over the interval [1,5] ? To...

John Rhodes
July 6, 2023
Calculus

Analyzing the Properties of a Polynomial Function: An In-depth Study of Coefficients and Steepness

Let f be the function given by f(x)=(1/7)x^7+12x^6−x^5−(15/4)x^4+(4/3)x^3+6x^2. Which of the following statements is true? To determine which of the following statements is true, we need to...