I think it would -2!! Sorry if I’m wrong
Answer:
Slope = Y2 -Y1 / X2 - X1
Slope = -1 -3 / 8 --8
Slope = -4 / 16
Slope = -1 / 4
To calculate the equation we fill in this equation:
(y - y1) = slope • (x -x1)
We only need to choose 1 point so we'll choose (-8, 3)
(y - 3) = -1 / 4 * (x --8)
So the Equation equals
y = -1 / 4 x -2 + 3
y = -1 / 4x +1
Source:
http://www.1728.org/distance.htm
Step-by-step explanation:
Answer:
The 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for the population mean, when the population standard deviation is not provided is:

The sample selected is of size, <em>n</em> = 50.
The critical value of <em>t</em> for 95% confidence level and (<em>n</em> - 1) = 49 degrees of freedom is:

*Use a <em>t</em>-table.
Compute the sample mean and sample standard deviation as follows:
![\bar x=\frac{1}{n}\sum X=\frac{1}{50}\times [1+5+6+...+10]=6.76\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{49}\times 31.12}=2.552](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20X%3D%5Cfrac%7B1%7D%7B50%7D%5Ctimes%20%5B1%2B5%2B6%2B...%2B10%5D%3D6.76%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28x-%5Cbar%20x%29%5E%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B49%7D%5Ctimes%2031.12%7D%3D2.552)
Compute the 95% confidence interval estimate of the population mean rating for Miami as follows:


Thus, the 95% confidence interval estimate of the population mean rating for Miami is (6.0, 7.5).
Answer:
[-1,3]
Step-by-step explanation:
|2x|<x+3
calculate the absolute value
2*|x|<x+3
move < to left
2*|x|-x<3
split into possible cases
2x-x<3, x<0
2*(-x)-x<3, x<0
solve inequalities
[0,3]
[-1,0]
find union
[-1,3]
Answer: 184
Step-by-step explanation:
The nth term of am arithmetic sequence is calculated as:
Nth term= a+(n-1)d
where a = first term
d = common difference
a = -10
d = -8 -(-10) = -8+10 = 2
98th term= a+(n-1)d
= -10 + (98-1)(2)
= -10 + (97×2)
= -10 + 194
= 184
The 98th term of the arithmetic sequence is 184