Answer:
2
Step-by-step explanation:
6 can only go in 14 two times has 12 if you add another team there would only be a team with 2 players
Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".
The intersection point of the two lines is (2,1,0).
The respective direction vectors are
L1: <1,2,4>
L2: <4,1,15>
Since the normal vector of the required plane is perpendicular to both direction vectors, the normal vector of the plane is obtained by the cross product of L1 and L2.
i j k
1 2 4
4 1 15
=<30-4, 16-15, 1-8>
=<26, 1, -7>
We know that the plane must pass through (2,1,0), the equation of the plane is
26(x-2)+1(y-1)-7(z-0)=0
simplifying,
26x+y-7z=52+1+0=53
or
26x+y-7z=53
Check:
Put points on L1 in the plane
26(t+2)+(2t+1)-7(4t+0)=53 ok
For L2,
26(4t+2)+(t+1)-7(15t+0)=53 ok
For 8, it is 1/x+5, since you are shifting the graph
9514 1404 393
Answer:
1173 in
Step-by-step explanation:
The measure of angle O is ...
O = 180° -N -P = 180° -32° -97° = 51°
The law of sines tells you ...
o/sin(O) = n/sin(N)
o = n·sin(O)/sin(N) = (800 in)·sin(51°)/sin(32°)
o ≈ 1173 in