Answer:3/8
y2-y1/x2-x1 2-5/2-10 = -3/-8 =3/8
Both of these are true statements. This also shows us that if 3 points are on the same line, than they are all also in the same plane.
This is known as hypothetical syllogism, or more basically put:
If a then b, if b then c. Therefore if a then c.
Answer: 1.467
Step-by-step explanation:
Formula of Margin of Error for (n<30):-
![E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=E%3Dt_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Given : Sample size : n= 22
Level of confidence = 0.90
Significance level : ![\alpha=1-0.90=0.10](https://tex.z-dn.net/?f=%5Calpha%3D1-0.90%3D0.10)
By using the t-distribution table ,
Critical value : ![t_{n-1, \alpha/2}=t_{21,0.05}= 1.720743](https://tex.z-dn.net/?f=t_%7Bn-1%2C%20%5Calpha%2F2%7D%3Dt_%7B21%2C0.05%7D%3D%201.720743)
Standard deviation: ![\sigma=4](https://tex.z-dn.net/?f=%5Csigma%3D4)
Then, we have
![E=(1.720743)\dfrac{4}{\sqrt{22}}=1.46745456106\approx1.467](https://tex.z-dn.net/?f=E%3D%281.720743%29%5Cdfrac%7B4%7D%7B%5Csqrt%7B22%7D%7D%3D1.46745456106%5Capprox1.467)
Hence, the margin of error for the confidence interval for the population mean with a 90% confidence level =1.467
Answer:
degrees ⋅(π radians /180 degrees )
the (π180) means that for every π radians you go around the unit circle, you've gone 180 degrees.
315 degrees ⋅(π radians /180 degrees )
315 and 180 are both divisible by 45 , so.
74⋅π radians = 74π radians.
Answer:
D
Step-by-step explanation:
Given
- (x + 3) - 2(4x - 3) ← distribute both parenthesis
step 1
= - x - 3 - 8x + 6 ← collect like terms
step 2
= - 9x + 3