Answer:
The value of the test statistic is -3.14.
Step-by-step explanation:
Test statistic:
![t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
In which X is the sample mean,
is the expected value,
is the standard deviation and n is the size of the sample.
A company advertises that its cans of caviar each contain 100 g of their product.
This means that ![\mu = 100](https://tex.z-dn.net/?f=%5Cmu%20%3D%20100)
They calculate a sample mean weight of 99 g and a sample standard deviation of 0.9 g. Sample of 8 cans.
This means that ![X = 99, \sigma = 0.9, n = 8](https://tex.z-dn.net/?f=X%20%3D%2099%2C%20%5Csigma%20%3D%200.9%2C%20n%20%3D%208)
So the test statistic will be given by:
![t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![t = \frac{99 - 100}{\frac{0.9}{\sqrt{8}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B99%20-%20100%7D%7B%5Cfrac%7B0.9%7D%7B%5Csqrt%7B8%7D%7D%7D)
![t = -3.14](https://tex.z-dn.net/?f=t%20%3D%20-3.14)
The value of the test statistic is -3.14.
Answer:
Yes, the function is a kernel
Step-by-step explanation:
Given
Document x an z
Function definition! k(x:z)
We want to show that the above is a kernel.
To do this, we'll explicitly construct feature vectors φ(x) and φ(z)
This gives;
K(x,z) =φ(x)·φ(z).
Given than any document; say x and z
A vocabulary V can be constructed.
Vocabulary V must have a finite size of words in the document set..
The feature mapping is constructed as φ(x) for x by the following:
For the kth word wk in V, if wk appears in document x, assign φ(x) k(the kth element ofφ(x)) to be 1; else φ(x)k to 0.
Then the number of unique words common in x and z is φ(x)·φ(z), giving us the kernel
.
Answer:
7
Step-by-step explanation:
The greatest common factor or GCF of 7 and 49 is 7 because 7 is the highest number that can go into both numbers 7 and 49. No other number can go into those numbers except 7.
Answer:
5 bags of brand x and 6 bags of brand y.
Step-by-step explanation:
Nutrient requirement for the garden:
39 pounds of nutrient a and
16 pounds of nutrient b
Component of each bag of brand x:
3 pounds of nutrient a and 2 pounds of nutrient b
Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b
Component of each bag of brand y:
4 pounds of nutrient a and 1 pound of nutrient b
Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b
Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden
Perpendicular equation: y=-1/5x + 6