Answer:
i thinks it -11°F but not sure
It has all angles measuring 60°
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
![H_0:\mu \geq 477\\H_a:\mu < 477](https://tex.z-dn.net/?f=H_0%3A%5Cmu%20%5Cgeq%20477%5C%5CH_a%3A%5Cmu%20%3C%20477)
Formula : ![z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z=\frac{505-477}{\frac{112}{\sqrt{64}}}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B505-477%7D%7B%5Cfrac%7B112%7D%7B%5Csqrt%7B64%7D%7D%7D)
![z=2](https://tex.z-dn.net/?f=z%3D2)
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:
![\frac{1}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B18%7D)
Step-by-step explanation:
So say there are x yellow cubes.
Yellow = x
Blue = 3x
Green = 15x
It doesn't say red so I'm going to assume there are none.
![\frac{x}{18x}=\frac{1}{18}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B18x%7D%3D%5Cfrac%7B1%7D%7B18%7D)
Odd = odd × odd
Prime factor
<span>16*24*60
(4*4)(3*8)(6*10)
(2*2*2*2)(3*2*2*2)(3*2*5*2)
multiple all the odd prime factors together
3*3*5 = 45
</span>