The direction vector of the line
L: x=1+t, y=4t, z=2-3t
is <1,4,-3>
which is also the required normal vector of the plane.
Since the plane passes through point (-5,9,10), the required plane is :
Π 1(x-(-5)+4(y-9)-3(z-10)=0
=>
Π x+4y-3z=1
Answer:
Step-by-step explanation:
The given polynomial is :
p(x) = 5-10x
We need to find the zeros of the above polynomial. To find it, put p(x) = 0
5-10x = 0
Subtract 5 from both sides
5-10x-5=0-5
-10x=-5
or
10x=5
Divide both sides by 10.
x = 0.5 = 1/2
Hence, the zeros of the polynomial is 1/2.
Answer:
The mean is 24.205
Step-by-step explanation:
Firstly, we need to get the z-score
From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way
So the probability we had was;
P( x > 22)
So we need the z-score corresponding to 63.70% or simply 0.637
We can use the standard normal distribution table to get this
Mathematically, from the standard normal distribution table this is -0.35
z-score = (x- mean)/SD
-0.35 = (22-mean)/6.3
22-mean = -2.205
mean = 22 + 2.205 = 24.205
Answer:
its 90
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
