X² + mx + m A perfect square trinomial is where:x² - is the square of the first term binomialmx - is twice the product of the binomials first and last termm - is the square of the last term binomial
x² + mx + m = (x + 1)²
(x + 1)² ⇒ (x+1)(x+1) = x(x+1) +1(x+1) ⇒ x² + x + x +1 = x² + 2x + 1
Answer:
Option B is the correct answer.
Step-by-step explanation:
Jen decides to read 100 pages the first day and 50 pages each day thereafter.
Number of pages read by Jen per day = 50
Number of pages read by Jen on first day = 100
Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days.
Number of pages read by Ariel per day = 40
Number of pages read by Ariel on first day = 40 + 80 = 120
Option A:
Jen reads 20 pages per day more than Ariel
Wrong
Option B:
Ariel reads 10 pages per day less than Jen.
Correct
Option C:
Ariel read 20 pages less the first day than Jen read.
Wrong
Option D:
The reading rate each day for Jen and Ariel is the same.
Wrong
Option B is the correct answer.
Answer:
This statement can be made with a level of confidence of 97.72%.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8.1 mm
Standard Deviation, σ = 0.5 mm
Sample size, n = 100
We are given that the distribution of thickness is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
P(mean thickness is less than 8.2 mm)
P(x < 8.2)
Calculation the value from standard normal z table, we have,
This statement can be made with a level of confidence of 97.72%.
