Answer:
Yes, point B will lie inside the circle.
Step-by-step explanation:
Let the distance between point C and point A be the radius of our given circle.
We have been given that a circle with center C(4, -2) passes through the point A(1, 3).
Since we know that a point will lie inside circle if the distance between the point and center of circle is less than radius of circle.
Let us find distance between points C and A using distance formula.
Radius of our circle is . Now let us find distance between center of our circle and point B.
We can see that distance of point B from center of our given circle is less than distance between point A and center of circle, therefore point B will lie inside the circle.
Answer:
18480 ft
Step-by-step explanation:
Note that 1 mile = 5280 feet. We can use this information to set up a unit converter:
Miles cancels out on the bottom giving us...
The answer is B. repeating
Answer:
-46/60
Step-by-step explanation:
find a common denominator. multiply that number you got that common denominator with for the numerator (top number) and there is your answer
The two picks are dependent events. When you have to answer this kind of questions, you should ask yourself: "does knowledge about the first event influence what I expect from the second?"
If the answer is no, the two events are independent. Otherwise, they're dependent.
In this case, when you deal the first card, you have no information whatsoever. You expect each of the 52 cards to be dealt with the same probability 1/52.
Suppose you deal the ace of spades as the first card.
When you're about to deal the second card, does the knowledge about the first card dealt influence what you expect?
Yes! Even if you can't be sure about which card you will deal, you're SURE that you won't deal the ace of spade, because you didn't replace it.
So, the two events are dependent, because the first card dealt changed your expectations for the second card.