He messed up step 2 he added instead of multiplying
<span>2x - 3y - 3z = 8
We've been given the normal vector to the plane <2, -3, -3> and a point within the plane (1, -5, 3). In general if you've been given both the normal vector <a,b,c> and a point (e,f,g) within the plane, the expression for the plane will be:
ax + by + cz = d
and you can compute d by:
d = ae + bf + cg
So let's calculate d:
d = ae + bf + cg
d = 2*1 + -3*-5 + -3*3
d = 2 + 15 + -9
d = 8
And the equation for the plane is
2x - 3y - 3z = 8</span>
Answer:
Inequality form: x>10/3
Interval Notation: (10/3, infinity)
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
The equation would be y = x - 1
Step-by-step explanation:
In order to find the equation of the line, we first can express the two sets of data as an ordered pair. The two ordered pairs would be (3, 2) and (9, 8). Now that we have these, we can use the slope formula to find the slope.
m (slope) = (y2 - y1)/(x2 - x1)
m = (8 - 2)/(9 - 3)
m = 6/6
m = 1
Now that we have the slope, we can use either point and point slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = 1(x - 3)
y - 2 = x - 3
y = x - 1
Answer:
The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.
Step-by-step explanation:
let S be the sample space for the inspection of the light bulbs.
Therefore, n(s) = 800
let ' A ' be the event of no defects bulbs.
Therefore, n(A) = 796
Now the Experiment probability for a light bulb chosen has no defects will be given by,
Substituting the values we get
The experimental probability that a light build chosen at random has no defects is 99.5 % or P(A)=0.995.