Factor the linear expression. 8x+48x+4 Drag the correct parts of the expression into the boxes. ( + ) 2x4x8x12x01234
1 answer:
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Answer:
Step-by-step explanation:
Given infinite system of linear equations is ax + by = 0
when (a,b) moves along unit circle in plane.
a) system having unique system (0, 0)
Since two of equation in thus system will be
and
It is clear that x = 0, y= 0 is the only solution
b) Linear independent solution in this system gives some set of solutions
and
Vector form is
c) for this equation if add 0x +0y = 0 to system , Nothing will change
Because [0,0] satisfies that equation
d) If one of the equation is ax + by = 0.00001
where 0.00001 is small positive number
so, the system will be inconsistent
Therefore, the system will have no solution.
Answer:
The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]
Step-by-step explanation:
I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.
In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1
If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)
The values of the cumulative distribution function of W, denoted by , can be found in the attached file. Lets call
. We have
Thus
by looking at the table, we find that y = 1.28, therefore
The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.
The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .