Answer: 
Step-by-step explanation:
Given : The total number of cards in a deck = 52
Number of red cards = 26
There are two types of red cards : diamond and heart.
Number of diamond cards = 13
The probability that the first card is a diamond :-

Since diamond is also a red card.
Now, the total cards left = 51
The number of red cards left = 12
The probability that the second card is a red card (without repetition) is given by :-

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

Answer:
d. x = 5
Step-by-step explanation:
Chords that subtend congruent arcs are congruent.
<h3>Setup</h3>
Chord lengths are the same:
AB = CD
16x -2 = 14x +8
<h3>Solution</h3>
2x = 10 . . . . . . add 2-14x
x = 5 . . . . . . . . divide by 2
The answer: the second one y= -2x+7
Answer:


Step-by-step explanation:
<u>Sample Space</u>
The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter
.
We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

Answer:
17
Step-by-step explanation:
14 - 7 = 7
7 + 4 +9 =20
20 - 3 = 17