The equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0 which can be found out from slope intercept formula.
It is given to us that -
The point is P(-8,0)
The line is represented as y=-3
The point P is perpendicular to the given line.
We have to find out the equation of the line passing through P which is perpendicular to the given line.
We know that the equation of a line is given by -
y = mx + c
where, (x, y) = coordinates of the point
m = slope of the line
c = a constant
Comparing this with the equation of the given line, we have
m=0 and c =-3
This implies that the slope of the perpendicular is also equal to 0.
The slope intercept formula for the perpendicular line can be represented as -
y = mx + c
Using the coordinates of P(-8,0), we have
0 = 0*(-8) +c
=> c = 0.
Thus, the equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0.
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Answer:
Step-by-step explanation:
Hello!
Suppose that the objective of the experiment is to test if a certain treatment modifies the mean of the population of interest.
If for example, the treatment is "new fertilizer" and the population of interest is "yield of wheat crops"
Then you'd expect that using the new fertilizer will at least modify the average yield of the wheat crops.
The hypotheses will be then
H₀: μ = μ₀
H₁: μ ≠ μ₀
Where μ₀ represents the known average yield of wheat crops. (is a value, for this exercise purpose there is no need to know it)
We know that the treatment modifies the population mean, i.e. the null hypothesis is false.
The sample we took to test whether or nor the new fertilizer works conducts us to believe, it does not affect, in other words, we fail to reject the null hypothesis.
Then we are in a situation where we failed to reject a false null hypothesis, this situation is known as <em><u>Type II error</u></em>.
I hope this helps!
Answer:
True
Step-by-step explanation:
Suppose a system contains a large number of variables than equations, then there is a need to make assumptions of some values for the extra variables in order to solve the system. So, the assigning of these values can be done in several ways. Thus, the system cannot contain a unique solution.
Also, for a system of the linear equation:
can have a unique solution if:
Augmented matrix(rank) = coefficient matrix(rank) = no. of variables.
Provided that there exist fewer equations and more variables,
Then;
coefficient matrix(rank) < no. of variables
Thus, the system cannot contain a unique solution.
Answer:
1890 ml
Step-by-step explanation:
if you add it all together