09.07
Task 1—Normal Distribution
Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
So the mean is 12.89, and the standard deviation is 1.95. Then you add and subtract 1.95 …show more content…
Explain how to identify the extraneous solution and what it means.
If the solution makes a denominator zero, or makes a radicand negative, it is extraneous.
Task 5—Polynomial Division and the Remainder Theorem
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). f(x) = x^3 - 3x^2 - x + 3
Part 1. Show all work using long division to divide your polynomial by the binomial. f(x) = (x^3 - 3x^2 + x + 3)(x - 1) = x^2 - 2x + 3
Part 2. Show all work to evaluate f(a) using the function you created. a = 1=f(a) f(1) = 0
Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function
“The Remainder Theorem is useful for evaluating polynomials at a given value of x, it starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". Then the Theorem talks about dividing that polynomial by some linear factor x – a, where a is just some number”
Task 6—Polynomial Identities
Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a
Task 1—Normal Distribution
Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the top 2% of those who took the test. This means that they scored better than 98% of the other test takers. Marcus received his score of 13.7 on the exam and is wondering why he didn’t receive a certificate. Show all work to determine whether Marcus’ score was high enough to earn a certificate. Write a letter to Marcus explaining whether or not he will be receiving a certificate. Include a brief summary of your statistical analysis in your letter.
So the mean is 12.89, and the standard deviation is 1.95. Then you add and subtract 1.95 …show more content…
Explain how to identify the extraneous solution and what it means.
If the solution makes a denominator zero, or makes a radicand negative, it is extraneous.
Task 5—Polynomial Division and the Remainder Theorem
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a). f(x) = x^3 - 3x^2 - x + 3
Part 1. Show all work using long division to divide your polynomial by the binomial. f(x) = (x^3 - 3x^2 + x + 3)(x - 1) = x^2 - 2x + 3
Part 2. Show all work to evaluate f(a) using the function you created. a = 1=f(a) f(1) = 0
Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function
“The Remainder Theorem is useful for evaluating polynomials at a given value of x, it starts with an unnamed polynomial p(x), where "p(x)" just means "some polynomial p whose variable is x". Then the Theorem talks about dividing that polynomial by some linear factor x – a, where a is just some number”
Task 6—Polynomial Identities
Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a