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
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Answer:
Step-by-step explanation:
SOHCAHTOA
Sine is opposite over hypotenuse
Cosine is adjacent over hypotenuse
Tangent is opposite over adjacent
In this context, opposite means the side opposite of the angle. Adjacent means the side that is touching the angle. And the hypotenuse is the longest side, which is usually visually obvious.
3.) tan(25) = x/31
Use a calculator for tan(25), then multiply both sides by 31 to get your x value.
x = 14.5
4.) cos(48) = 17/x
Use a calc to do 17/cos(48) to get the x value
x = 25.4
5.) sin(theta) = 17/18
Divide 17/18, then take the inverse sine of both sides with a calculator to get the theta value
theta = 70.8 degrees
6.) tan(theta) = 31/42
Divide 31/42, then take the inverse tangent of both sides with a calc.
theta = 36.4 degrees
7.) Your best bet is to draw a picture. For my case, Im going to imagine it. The angle is 35 degrees and the hypotenuse is 300 feet. The question is asking for the opposite of the angle. This calls for sine.
sin(35) = x/300
x = 172.1 feet
Answer: A. (4,1)
Step-by-step explanation:
2x -5y = 3
x -3y = 1
Change the equation to isolate a variable so you can substitute it in the other one.
x = 1+3y so
2(1+3y) -5y = 3
2 + 6y -5y =3
2 + y = 3
y=1
Back to the easy equation we isolated
x = 1+3(1)
x= 4
(4,1) is a point where x=4 and y=1
To solve 3.45 x 10⁹, you have to move the decimal point of 3.45 nine times to the right(---->). Once you do that, you get 3450000000. To solve 0.5 x 10⁴, you have to move the decimal point of 0.5 four times to the right. That equals 5,000. Now the final question is: How many times bigger is 3450000000 than 5,000. So, you divide 3450000000 by 5,000. That equals 690000.
690,000 times bigger than 0.5 x 10⁴
