Answer:
P(water)=11/22=1/2
Step-by-step explanation:
The number of bottles with water is 11
The total number of bottles is 11 +9+2=22
Sothe probability that Ronald chooses a bottle of water is
P(water) =N(water)/N(total)=11/22=1/2
If the equation is in y = k*x form, then we have a direct proportional relationship between x and y. In this case, y = (1/5)*x is in the form y = k*x where k = 1/5. So this equation is proportional. The constant of proportionality is k = 1/5
In terms of a graph, you can tell if it has the following properties:
1) The graph goes through the origin (0,0) which is where the x and y axis cross
2) The graph is a straight line
You should find that graphing y = (1/5)x will satisfy both properties above, so that will visually confirm you have the right answer. The graph is shown in the attached image. The red line represents the graph of the equation. The red line goes through (0,0) and (5,1), which are point A and point B respectively.
If

then we have

By Fermat's little theorem, if

is not divisible by a prime

, then

This works for

; in this case, we would have
Answer:
<h2>The measure of angle KJL is 40°.</h2>
Step-by-step explanation:
Givens


Notice that
, by definition sum of arcs.
Replacing given values, we have

Which means 
Notice that arc KP is the subtended arc by angle KJL.
We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

Therefore, the measure of angle KJL is 40°.