5)domain of x=-4 is -4 and
range is from infinity to - infinity
4) option C
Answer:
C. Must be 1
Step-by-step explanation:
The correlation coefficient of an equation represents the relation between the two variable ( dependent and independent )
It lies between -1 to 1,
If an equation has strongly positive correlation then the value of correlation coefficient is 1,
If there is no relation then the value of correlation is 0,
If there is strongly negative relation then the value of correlation coefficient is -1,
Here, the equation is,
y = 2 + 3x
Since, the value of y is increasing with increasing the value of x,
We can say that there is strong positive relation between the variables x and y,
Hence, by the above statements,
The correlation coefficient between y and x in this data set must be 1.
Option 'C' is correct.
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
20 possibilities based on this as a combination not a permutation, 6 nCr 3 = 20
