Answer:
The claim that the scores of UT students are less than the US average is wrong
Step-by-step explanation:
Given : Sample size = 64
Standard deviation = 112
Mean = 505
Average score = 477
To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.
Solution:
Sample size = 64
n > 30
So we will use z test

Formula : 


Refer the z table for p value
p value = 0.9772
α=0.05
p value > α
So, we accept the null hypothesis
Hence The claim that the scores of UT students are less than the US average is wrong
Answer:
r = 3.
Step-by-step explanation:
16 = 10 + √(3r + 27)
√(3r + 27) = 6
Square both sides:
3r + 27 = 36
3r = 36 - 27 = 9
r = 3.
Check the result:
Left side of the equation = 16
Right side = 10 + √(9 + 27)
= 10 + √36 = 16
Answer:
Step-by-step explanation:
Hey, um, I dont know if ur still doing the whole stop the hackers thing, but there's this one user, echo2155, that I've seen post a link (or a bunch, not sure). I don't remember what they said, because their answer got deleted. I just figured I'd tell u, because I want to stop it too. It's really anoying when people do it on my questions becuz they use up a question and other people can't answer. I report as many as I can, but there's so many people that do it. I hope this is what ur looking for, bye!
To find the residual I would subtract the predicted value from the measured value so for x-value 1 the residual would be 2-2.6 = -0.6
Answer:
Step-by-step explanation:
Area of the sector is modeled by the expression = 
Here, θ = central angle subtended by the arc
r = Radius of the circle
Area of the red sector = 
= 937.311
≈ 937.31 m²
Therefore, area of the red sector is 937.31 m².