According to the table shown, the function that best represents g (x) is the function g (x) = 2x. This can be shown with the values of the table because if x = -1 then g (-1) = - 2. If x = 0 then g (0) = 0. And if x = 1 then g (1) = 2.
While for f (x) we have:
x f (x)-1 -80 01 8
Then f (x) = 4g (x)
Answer: 83 cards
Step-by-step explanation:
38 x 2 + 7 = 83
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
![CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack](https://tex.z-dn.net/?f=CI%28%5Cmu%29%3D%5Clbrack%20x-Z_%7B1-%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D%2Cx%2BZ_%7B1-%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%5Ccdot%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%5B%5D%7Bn%7D%7D%5Crbrack)
Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
![CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack](https://tex.z-dn.net/?f=CI%28%5Cmu%29%3D%5Clbrack30.0-Z_%7B0.99%7D%5Ccdot%5Cfrac%7B2.40%7D%7B%5Csqrt%5B%5D%7B28%7D%7D%2C30.0%2BZ_%7B0.99%7D%5Ccdot%5Cfrac%7B2.40%7D%7B%5Csqrt%5B%5D%7B28%7D%7D%5Crbrack)
Where (from tables):
Finally, the interval at 98% confidence level is:
Answer:
Both situations have the same rate of change
3 miles/hr
Step-by-step explanation:
situation 1
"3 miles in one hour" = 3 miles/hr
situation 2
"6 miles in two hours" = 6 miles / 2 hours =6/2 miles/hr = 3 miles./hr
Hence both are the same
Answer:
v - w - 1
Step-by-step explanation:
Try an experiment with a small, specific set of numbers like:
4, 5, 6, 7, 8, 9, 10 w = 4 and v = 10.
There are 5 numbers in the list, not counting the first and last. Is this related to the difference between v and w? v - w = 6, one more than 5.
The number of natural numbers between w and v, not including w and v, is v - w - 1.
