Answer:
Distance to the xy-plane = |z|
Distance to the yz-plane = |x|
Distance to the xz-plane = |y|
Step-by-step explanation:
The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z
Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|
Distance to the xy-plane = |z|
Distance to the yz-plane = |x|
Distance to the xz-plane = |y|
Answer:
$299
Step-by-step explanation:
Make a proportion
He makes $184 for 8 hours of work, and $x for 13 hours of work
184/8=x/13
To solve, we need to get x by itself. To do this, multiply both sides by 13. We multiply because x is being divide by 13, and we want to do the opposite.
13(184/8)=(x/13)13
The 13s on the right will cancel, leaving us with
13(23)=x
299=x
So, he will earn $299 for 13 hours of work.
4/5
The 4 is how many pounds of nuts there are and dividing by 5 shows that you are sharing the nuts equally amongst the 5 friends.
Answer:
a) The probability that exactly 41 of the murders were cleared is 0.0013
b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.
c) Yes, it would be unusual
Step-by-step explanation:
Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,
for
, with p=0.62
a) We have that
b) We are asked for the following
(The specific calculation is omitted.
c) We will check for the following probability 
Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared.
Answer:
y = 4/3
Step-by-step explanation:
