Answer:
Step-by-step explanation:
Given that :
population Mean = 15000
standard deviation= 1200
sample size n = 100
sample mean = 16000
The null and the alternative hypothesis can be computed as follows:
Using the standard normal z statistics
z = 8.333
degree of freedom = n - 1 = 100 - 1 = 99
level of significance ∝ = 0.05
P - value from the z score = 0.00003
Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis
Conclusion: There is sufficient evidence that the Dean claim for his graduate students earn more than average salary of $15,000
Y = 3x + 1, y = (5/2)x + 2, y = -12x - 9, y = -2x + 3, you must put x and y on opposite sides and put y alone and all the lines will be straight.
Answer:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
Step-by-step explanation:I hope it helps
Answer:
15 or -5
Step-by-step explanation:
√(25-40x)= x-10
Squaring both sides
25 - 40x = (x -10)²
25 - 40x = x² -20x + 100
x² - 20x + 40x + 100 - 25 =0
x² +20x = -75
x² + 20x + 10² = -75 + 100
(x + 10)² = 25
x - 10 = ±√25
x - 10 = ±5
x = ±5 + 10
x = 15 or x = -5
Let initial price be = x = 3.24
final price = y = 4.05
Difference = 4.05 - 3.24
= 0.81
Percentage increase = 0.81 / 3.25 × 100
= 25 %
