Answer:
The translation is 
unit to the left and 
units down
Step-by-step explanation:
we have
-----> parent function
we know that
The transformation
f(x)-----> g(x) has the following rule
That means
The translation is unit to the left and units down
see the attached figure to better understand the problem
Given:
Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.
To Find:
A system of linear equations represents the situation.
Answer:
Step-by-step explanation:
We are given that x represents the number of fiction books and y is the number of non-fiction books.
We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write
Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write
So, the total system of equations can be represented as
Answer:
The mean is the better method.
Step-by-step explanation:
The best way to meassure the average height is throught mean. The mean of a sample is the average of that sample's height, and it will be a good estimate for the population's average height.
The mode just finds the most frequent height. Even tough the most frequent height will influence the average height, knowing only what height is the most frequent one doesnt give you enough informtation about how the height is centrally distributed.
As for the median, it is fine to use the median of a sample to estimate the median of the population, but if you use the median to estimate the average height you may have a few issues. For example, if you include babies in your population, the babies will push the average height down a lot and they are far below te median height. This, as a result, will give you a median height of a sample way above the average height of the population, becuase median just weights every person's height the same, while average will weight extreme values more, in the sense that a small proportion of extreme values can push the average far from the median.
Answer:
Step-by-step explanation:
Given is a paired data which consist of temperatures (X in mm) and growth
We have to find the linear correlation i.e. the measure of association between these two variables.
x y xy x^2 y^2
62 36 2232 3844 1296
76 39 2964 5776 1521
50 50 2500 2500 2500
51 13 663 2601 169
71 33 2343 5041 1089
46 33 1518 2116 1089
51 17 867 2601 289
44 6 264 1936 36
79 16 1264 6241 256
Mean 58.88888889 27 1623.888889 3628.444444 916.1111111
cov 33.88888889
std dev x 13.43916333 14.50861813
sx *sy
r 0.195529176
Hence we find that correlation coefficient 0.1955.
Answer:
the number of additional she needed is 135
Step-by-step explanation:
The computation is shown below:
GIven that
40 flowers of 16%
So for 100% it would be
= 40 ×100 ÷ 16
= 250
Now she needs to make is
= 70% - 16%
= 54%
Now the additional would be
= 250 × 54%
= 135
Hence, the number of additional she needed is 135
