Answer:
x-1
Step-by-step explanation:
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
Answer:
The two numbers are .8*160=128 and .85*240=204
Step-by-step explanation:
First sentence: x+y=400
Second sentence .8x+.85y=400-68
Solve y in the first sentence: y=400-x
Plug first into second: .8x+.85(400-x)=332
Distribute: .8x+.85(400)-.85x=332
Combine like terms: -.05x+.85(400)=332
Simplify(multiply): -.05x+ 340=332
Subtract 340 on both sides: -.05x =332-340
Simplify(subtract): -.05x =-8
Divide both sides by -.05: x =-8/-.05
Simplify (division): x = 160
So y=400-x=400-160=240
Answer:
Two-Factor ANOVA with replication
Step-by-step explanation:
Types of detergent used ( A,B,C ) = 3
Length of time for the washing cycle : A = 18 mins, B = 20 mins, C = 22 mins
number of laundry loads = 18
significance level = 5%
The alternative hypothesis for testing the interaction is a Two-Factor ANOVA with replication this is because the factors that have variations are the : The type of detergent and the length of time for a washing cycle while the load is constant for all.
Answer:
B
Step-by-step explanation:
I think the answer is B but I could be wrong! I'm 98% confident in my answer though!
