Answer:
3x^2 + 3xz + 2y^2 - 2yz - xy
Step-by-step explanation:
(1) multiply it to get
3x^2 - 3xy + 3xz and 2yx + 2y^2 - 2yz
add similar variables (-3xy + 2yx)
( the order of the variables doesn't matter xy or yx is the same)
we get -xy
and then after that simplifying we get 3x^2 + 3xz + 2y^2 - 2yz - xy
109.526 + 36.42 equals 145.946
Answer:
answer : 3 years ago
Step-by-step explanation:
Let x years ago.
59−x=7(11−x)
59−x=77−7x
6x=18
x=3
=3 years ago
Answer:
96
Step-by-step explanation:
First divide 360 by 2.
Then divide 180 by 5 and that is how many 5 pound bags he will use.
Then divide 180 again by 3 and that is how many 3 pound bags he will use.
Answer:
As the sample size increases the standard deviation of the sample decreases and hence the variability of the sample decreases.
Hence the second option is the correct option.
Step-by-step explanation:
i) let the standard deviation of the population be given by σ.
ii) for sample taken from among the population of size n the standard deviation of the sample becomes
and so we can see that for the sample the standard deviation of the sample is less than the standard deviation of the sample.
iii) As the sample size increases we can say that the standard deviation of the sample decreases.
iv) the variance , or variability, of a sample is equal to the square of the standard deviation of the sample.
therefore as the sample size increases the standard deviation of the sample decreases and hence the variability of the sample decreases.