F(x) = a.x . We ha to calculate a.
Back to the table, let's rewrite the coordinates
A(0,0)
B(2,-1)
C(4,-2)
D(7,-3.5)
We know that constant is called slope or coefficient is equal to:
a=y/x
Apart from A, in each of the coordinates y/x =-1/2 & this is the slope of the equation f(x) = (-1/2)x
Answer:
<em>The point lies barely outside of the circle</em>
Step-by-step explanation:
<u>Equation of a Circle</u>
Given its center (h,k) and radius r, the equation of a circle is given by

The circle given in the question is centered at (7,8) and has a radius of 6, thus its equation is


To find out if a point (a,b) is outside or inside the circle area, the following conditions apply.
if
then the point lies outside of the circle area
if
then the point lies inside of the circle area
Let's use the point as given (6,2)

Thus the point lies barely outside of the circle
The answer is negative 2x squared minus 3x
Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589