Answer:
Follows are the solution to this question:
Step-by-step explanation:
is invertible lines transformation
T is invertiable linear transformation means that is
and
Let
so,
![s[T(u)]=v[T(u)]\\\\s(v)=v(v) \ \ \forall \ \ v \ \ \varepsilon \ \ 1 R^n](https://tex.z-dn.net/?f=s%5BT%28u%29%5D%3Dv%5BT%28u%29%5D%5C%5C%5C%5Cs%28v%29%3Dv%28v%29%20%5C%20%5C%20%20%5Cforall%20%5C%20%5C%20v%20%5C%20%5C%20%5Cvarepsilon%20%5C%20%5C%201%20R%5En)
Step-by-step explanation:
there it is
and if u need more help tell me
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the diagram of coordinates of the three triangles are not given.
A general explanation is as follows:
First, record the coordinates of the corresponding points of the three triangles.
For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.
Now, assume the coordinates are:



Point D is 4 points to the right of A;
i.e.

Hence, ABC will be moved 4 units right to lie on DEF
Similarly, point G is 3 units down of A
i.e.

Hence, ABC will be moved 3 units down to lie on GHI.
Answer:
y = -2/3x + 6
Step-by-step explanation:
To find the slope, find how much y changes in proportion to x. Here, when x changes by 1, y changes by -2/3. So, the number before x is -2/3.
To find the y-intercept, we need to find what y will be when x is 0. Since we know that when x is 1, y is 16/3, and when x decreases by 1, y increases by 2/3. So, when x is 0, y is 16/3 + 2/3, which is 18/3, or 6.
Answer:
a) 40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b) 34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

a)Less than 19.5 hours?
This is the pvalue of Z when X = 19.5. So



has a pvalue of 0.4013.
40.13% probability that a laptop computer can be assembled at this plant in a period of time of less than 19.5 hours.
b)Between 20 hours and 22 hours?
This is the pvalue of Z when X = 22 subtracted by the pvalue of Z when X = 20. So
X = 22



has a pvalue of 0.8413
X = 20



has a pvalue of 0.5
0.8413 - 0.5 = 0.3413
34.13% probability that a laptop computer can be assembled at this plant in a period of time between 20 hours and 22 hours.