Answer:
So the model should represent either
or
(its equivalent and simplified form.
Step-by-step explanation:
1) Originally the question wants to represent this quotient as tiles.
So,
We can still simplify it, but since we're dealing with 100 x 100 squares let's keep it this way
2) So the model should represent either
or
(its equivalent and simplified form.
Answer:
m∠5 = 44°; m∠7 = 44°
Step-by-step explanation:
Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.
Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).
So Angle 1's measure is 44 degrees.
According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°
According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.
So m∠7 = 44°
Answer:
The cutoff for a failing score was 40,
Approximately 2.3% of the students failed.
Step-by-step explanation:
Given,
Mean, 
Standard deviation, 
Let x represents the cutoff for a failing score,
Thus, according to the question,





Thus, the cutoff for a failing score is 40,
∵ P(<-2) = 0.02275 = 2.275 % ≈ 2.3 %
Hence, Approximately 2.3 % of the students failed.