When you trisect an angle, you cut it into three equal pieces.
Answer:
See Explanation
Step-by-step explanation:
Given
![y = -3x + 2](https://tex.z-dn.net/?f=y%20%3D%20-3x%20%2B%202)
Required
The true statement
The question is incomplete, as no option is given.
I will solve generally, as follows;
A linear equation is represented as:
![y =mx+b](https://tex.z-dn.net/?f=y%20%3Dmx%2Bb)
Where
slope
y intercept
So, by comparison:
![m = -3](https://tex.z-dn.net/?f=m%20%3D%20-3)
![b = 2](https://tex.z-dn.net/?f=b%20%3D%202)
Hence, the graph has a slope of -3 (a negative slope)
And the y intercept of 2
Answer:
The answer is below
Step-by-step explanation:
1)
mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65
Given that the confidence level (c) = 90% = 0.9
α = 1 - c = 0.1
α/2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given as:
![E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47](https://tex.z-dn.net/?f=E%3DZ_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%3D1.65%2A%5Cfrac%7B2.3%7D%7B%5Csqrt%7B65%7D%20%7D%20%3D0.47)
The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)
2)
mean (μ) = 23, SD(σ) = 12, sample size (n) = 45
Given that the confidence level (c) = 88% = 0.88
α = 1 - c = 0.12
α/2 = 0.06
The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56
The margin of error (E) is given as:
![E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8](https://tex.z-dn.net/?f=E%3DZ_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%3D1.56%2A%5Cfrac%7B12%7D%7B%5Csqrt%7B45%7D%20%7D%20%3D2.8)
The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)
Answer:
https://www.nhs.uk/news/neurology/long-term-cannabis-users-brains-are-different/
Step-by-step explanation: