Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 1:</u>
A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.
<u>Problem 2:</u>
We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.
Answer:
A.) Both lines pass through the point represented by the ordered pair
Step-by-step explanation:
Answer:
The approximate area is A) 5.09cm²
Step-by-step explanation:
Area of a Circle = πr²
r = 1.8
Plug in our values
π(1.8cm²)
Evaluate the area of the entire circle
a = π(1.8cm²)
a = π(3.24cm)
a = 10.179cm²
Area of a sector, with the area of the circle of the sector being a = theta/360 * a
Evaluate the area of the sector
180/360*10.719cm²
0.5 * 10.179cm²
5.0895cm²
Round the value up
5.09cm²
The answer is: c
Explination 30-9=21
Answer:
Step-by-step explanation:
(a) Rename h(x) as y
(b) Solve for x :
(d) Switch x and y
(e) Rename y as the inverse function
The graphs of inverse functions are reflections of each other across the line y = x.
In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.
