Penny says that the equation x³-8=0 has only one solution x=2. Use the fundamental theorem of algebra to explain to her why she
1 answer:
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Answer:
Step-by-step explanation:
The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.
This sequence is arithmetic if:
We have that:
This is not an arithmetic sequence.
This sequence is geometric if:
This is a geometric sequence, in which:
The first term is 40, so
The common ratio is , so
.
We have that:
The 10th term is . So:
Simplifying by 4, we have:
Answer:
- 0.0374
- 0.0010
Step-by-step explanation:
number of cards = 52
number of queen = 4
number of spades = 13
A) probability that the tenth card is a queen
drawn time (r) = 1
position of success(x) = 10th
p = 4/52
P( x,r,p) =
p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374
B) probability the twentieth card is a spade
x = 20
r = 1
p = 13 / 52
P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010
c) The last five cards been spades
p(last five cards been spades )
p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5