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
Answer:
Proportionality equation: 
Linear equation: 
Step-by-step explanation:
So the amount that Cameron earns = 7/hr
Hours = x
And total earned amount = y
So we can form an equation from this for the total amount:

But the question asks us for a proportionality equation so:
Proportionality constant = k
So we get the equation:

5 maybe (I’m not pretty sure)
Answer:
45.2°
Step-by-step explanation:
a = 14
b = 11
c = 10
The Law of Cosines is given as:
arccos (a²+b²﹣c²/2ab)
In this above question, to find m
= arccos(11²+14²﹣10²/2·11·14)
= 45.20717°
Approximately = 45.2°
Option d is the correct answer
Answer:
The second option
Step-by-step explanation:
1/3x represents the one-third of a number and quotient indicates division. That's the only option with both 1/3x and a division sign