Option C:
The equation which matches the graph above is y = 4x - 4.
Solution:
Take any two points on the graph of the line.
Let the points are (0, -4) and (1, 0).
Here,
Slope of the line:
m = 4
y-intercept of the line is the point where the line crosses at y-axis.
Here, the line crosses at y-axis is (0, -4).
y-intercept, (c) = -4
Equation of a line is
y = mx + c
y = 4x + (-4)
y = 4x - 4
The equation which matches the graph above is y = 4x - 4.
Option C is the correct answer.
Answer:
20 and 25.
Step-by-step explanation:
Given:
They both teach total 45 yoga classes each week.
Erica teaches 15 fewer than twice as many as Bo.
To find:
How many classes does each instructor teach per week = ?
Solution:
Let number of classes are taken by Bo =
Then number of classes are taken by Erica = (given)
Total number of classes are taken by both = 45 (given)
According to the question.
+
= 45
By adding both side by 15
By dividing both side by 3
number of classes are taken by Bo = = 20
number of classes are taken by Erica =
=
Therefore, number of classes are taken by Bo and Erica is 20 and 25.
Answer:
475.
Step-by-step explanation:
We have been given that for a normal distribution with μ=500 and σ=100. We are asked to find the minimum score that is necessary to be in the top 60% of the distribution.
We will use z-score formula and normal distribution table to solve our given problem.
Top 60% means greater than 40%.
Let us find z-score corresponding to normal score to 40% or 0.40.
Using normal distribution table, we got a z-score of .
Upon substituting our given values in z-score formula, we will get:
Therefore, the minimum score necessary to be in the top 60% of the distribution is 475.