There are 13 hearts in the deck of 52.
If we want to simply choose 7 of them, we use combinatorics, and not permutations.
Thus, the total number of ways to choose 7 of the 13 hearts, is: ¹³C₇ or 1716 ways.
The total in our sample space is simply choosing 7 of the 52 cards, which is: ⁵²C₇ or 133 784 560.
Thus, the probability becomes:
Answer:
To find the number of nickels and dimes, we can use this equation: 0.10d + 0.05n = 5.25
We are given the information that Sonji has 21 dimes (which means that d=21). We can use the equation to find the number of nickels n.
0.10d + 0.05n = 5.25
0.10(21) + 0.05n = 5.25
2.10 + 0.05n = 5.25
0.05n = 3.15
n = 3.15 / 0.05
n = 315 / 5
n = 63
Sonji has 63 nickels.
Let's check our answer.
21(0.10) + 63(0.05) = 2.10 + 3.15 = 5.25
It seems that our answer is correct.
Step-by-step explanation:
Segment OX will be the radius.
YZ will be the tangent.
PQ might be the secant.
Hope this helps :)
Answer: step by step
Step-by-step explanation:
fraction form: x= -3/2
decimal form: x= -1.5
subtract 1/4 and 1/2 from both sides to find x