I need the picture to answer it
Answer: Hence, the probability that he will get at least one lemon is 0.70.
Step-by-step explanation:
Since we have given that
Number of cars = 30
Number of lemon cars = 10
Number of other than lemon cars = 30-10 = 20
According to question, he bought 3 cars,
we need to find the probability that you will get at least one lemon.
So, P(X≤1)=1-P(X=0)=1-P(no lemon)
Here, P(no lemon ) is given by
so, it becomes,
Hence, the probability that he will get at least one lemon is 0.70.
Direction vector of line of intersection of two planes is the cross product of the normal vectors of the planes, namely
p1: x+y+z=2
p2: x+7y+7z=2
and the corresponding normal vectors are: (equiv. to coeff. of the plane)
n1:<1,1,1>
n2:<1,7,7>
The cross product n1 x n2
vl=
i j l
1 1 1
1 7 7
=<7-7, 1-7, 7-1>
=<0,-6,6>
Simplify by reducing length by a factor of 6
vl=<0,-1,1>
By observing the equations of the two planes, we see that (2,0,0) is a point on the intersection, because this points satisfies both plane equations.
Thus the parametric equation of the line is
L: (2,0,0)+t(0,-1,1)
or
L: x=2, y=-t, z=t
Answer:
The answer to your question is 48 chairs
Step-by-step explanation:
Data
5 rows- 3 chairs left over
3 rows - 21 chairs left over
Process
1.- Write two equations each for each situation
x = number of rows
y = number of chairs
Equation 1 y = 5x + 3
Equation 2 y = 3x + 21
2.- Solve the system by equality
5x + 3 = 3x + 21
5x - 3x = 21 - 3
2x = 18
x = 18/2
x = 9
3.- Find the total number of chairs
y = 5(9)+ 3 y = 3(9) + 21
y = 45 + 3 y = 27 + 21
y = 48 y = 48
4.- Conclusion
There are 48 chairs
