Answer:
y = 5/7 x -5
Step-by-step explanation:
X/7- y/5=1
Multiply each side by 35 to clear the fractions
35(X/7- y/5) =1*35
5x - 7y = 35
Subtract 5x from each side
5x-5x-7y = -5x+35
-7y = -5x+35
Divide each side by -7
-7y/-7 = -5x/-7 +35/-7
y = 5/7 x -5
Answer:
Rate of change (slope) = -5
Step-by-step explanation:
Rate of change = (-5 -0) / (-2 - - 3) = -5/1 = -5
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … is formed by summing two consecutive numbers to get the next number.
adelina 88 [10]
By counting the combinations, we will see that there are 10 combinations such that the sum gives a Fibonacci number.
<h3>
How to count the combinations?</h3>
We have two number cubes with 6 outcomes each, such that we have a total of 36 combined outcomes.
For each dice, the outcomes are:
{1, 2, 3, 5, 8, 13}
Now, let's count the combinations that also give a Fibonacci number (these are given by adding two consecutive numbers in the sequence).
I will list each possible red outcome, then the blue outcomes that would give a Fibonacci term, and then we can count the number of combinations.
- Red Blue number of combinations.
- 1 2 1
- 2 1, 2 2
- 3 2, 3 2
- 5 3, 8 2
- 8 5, 13 2
- 13 8 1
Adding the numbers of combinations, we have:
C = 1 + 2 + 2 + 2 + 2 + 1 = 10
There are 10 combinations that give a Fubbonaci number.
If you want to learn more about combinations, you can read:
brainly.com/question/2280026
The complete question is;
Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a claim for at least 5 years is 2/3.
The probability that all 5 have not filed a claim after 5 years is A: 0.132 B: 0.868 C: 1 , and the probability that exactly 3 will have filed a claim after 5 years is A: 0.016 B: 0.033 C: 0.067
Answer:
1) P(all 5 file no claim after 5 years) = 0.132
2) P(exactly 3 file claim after 5 years) = 0.033
Step-by-step explanation:
1) we are told that the probability of each of these people not filing a claim for at least 5 years is 2/3.
Thus, for all 5 of them,
The probability will be;
P(all 5 file no claim after 5 years) = (2/3)^5 = 0.1317 ≈ 0.132
2) since probability of each not filing a claim for last 5 years = 2/3
Then probability of each filing a claim after 5 years = 1 - 2/3 = 1/3
So, P(exactly 3 file claim after 5 years) = (1/3)^3 ≈ 0.037.
The closest answer is 0.033.
