Answer:
x2=−8(y−2)
Step-by-step explanation:
Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.
Let P(x,y) be the moving point on the parabola with
focus at S(h,k)= S(0,0)
& directrix at y= 4
Now,
|PS| = √(x-h)2 + (y-k)2
|PS| = √(x-0)2 + (y-0)2
|PS| = √ x2 + y2
Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0
- d= |ax +by + c|/ √a2 + b2
- d= |y-4|/ √0 + 1
- d= |y-4| units.
equation of parabola is:
- |PS| = d
- √ x2 + y2 = |y-4|
Squaring on both sides, we get:
- x2 + y2 = (y-4)2
- x2 + y2 = y2 -8y + 16
- x2 = - 8y + 16
- x2 = -8 ( y - 2)
This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.
Answer:
x > 7
Step-by-step explanation:
0.8 - 3.2x < -2 - 2.8x
Add 2.8x to both sides.
0.8 - 0.4x < -2
Subtract 0.8 from both sides.
-0.4x < -2.8
Divide both sides by -0.4. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality symbol changes direction.
x > 7
Answer:
Step-by-step explanation:
Answer:
it is not possible
Step-by-step explanation:
Answer:
Inference for Regression
Step-by-step explanation:
Let us try to understand the difference between each of them.
1) Two sample t- test : the following assumptions must be used while applying the t- tests.
- The samples of n observations X₁,X₂,X₃,...........X n is selected randomly.
- The population from which the small sample is drawn is normal.This is essential for X` and s , the two components of the statistics t, to be independent. it has , however been shown that slight departures from normality do not seriously effect the tests.
- <em>In case of two small samples both the samples are selected randomly , both the populations are normal and both the populations have equal variances.</em>
2) Chi - squared Test for independence:
The two attributes A and B are said to be independent if the actual frequency equals the expected one , that is, if (AB) = (A)(B)/ N
Similarly α and β will be independent is (αβ) = ( α)( β)/ N and so on.
3) Inference for Regression
When both X and Y are observed at random i.e the sample values are from a bi variate population there are two regression equations , each obtained by choosing that variable as dependent whose average value is to be estimated and treating the other variable as independent .
4) A N O V A
The various sources of variation , degrees of freedom , the sum of squares and the mean squares associated with the sources are generally shown in a table called analysis of variance table or A N O V A table.
5) Matched pairs
It can be used when the experiment has only two events or possibilities and each variable can be grouped in either of the two conditions. Example people having C O V I D 19 and not having C O V I D 19.
