Answer: D. An equation is an identity if it can be rewritten as 0 =0. Such an equation has an infinite number of solutions because it reduces to a true statement regardless of the value of the variable.
Step-by-step explanation:
For an identity equation ; The value on the right and left hand side of the equation are equal :
Left hand side = Right hand side
The solution to an identity solution is infinite because the equation holds true for every value substituted for the variable.
Hence, for every value substituted in for the variable in the equation, the equation is a true statement.
Given:
Line a and line b
To find:
Which is the correct solution set for the graph.
Solution:
Here line a is on the line b.
So that a and b have same slope and same solution set.
For any graph of the line, the solution set is the points on the line.
Therefore the solution set is the infinite set of points on the line.
The correct solution set for the graph is infinite set of points on the line.
Answer:
B) 5p
Step-by-step explanation:
If you substitute 7 in for each equation you will see that the answers are either 7, 38, or 32, which are not 35. But when you substitute 7 in for B, 5(7), and multiply it out you get 35. I hope this helps :)
Answer:
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D0.0473)
Step-by-step explanation:
Let's call p the probability that a passenger shows up.
Then we know that:
![p = 0.85](https://tex.z-dn.net/?f=p%20%3D%200.85)
Then we took a sample of n = 6 passengers.
We can calculate the probability that less than 4 are presented using the binomial formula:
![P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28x%29%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D%2Ap%5Ex%2A%281-p%29%5E%7Bn-x%7D)
Where x is the number of passengers that show up, n is the number of selected passengers, p is the probability that a passenger shows up.
Then we look for:
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D%20P%280%29%20%2BP%281%29%20%2BP%282%29%20%2BP%283%29%3D1-P%286%29-P%285%29-P%284%29)
![P(6) = \frac{6!}{6!(6-6)!}*0.85^6*(1-0.85)^{6-6}=0.37715](https://tex.z-dn.net/?f=P%286%29%20%3D%20%5Cfrac%7B6%21%7D%7B6%21%286-6%29%21%7D%2A0.85%5E6%2A%281-0.85%29%5E%7B6-6%7D%3D0.37715)
![P(5) = \frac{6!}{5!(6-5)!}*0.85^5*(1-0.85)^{6-5}=0.39933](https://tex.z-dn.net/?f=P%285%29%20%3D%20%5Cfrac%7B6%21%7D%7B5%21%286-5%29%21%7D%2A0.85%5E5%2A%281-0.85%29%5E%7B6-5%7D%3D0.39933)
![P(4) = \frac{6!}{4!(6-4)!}*0.85^4*(1-0.85)^{6-4}=0.17618](https://tex.z-dn.net/?f=P%284%29%20%3D%20%5Cfrac%7B6%21%7D%7B4%21%286-4%29%21%7D%2A0.85%5E4%2A%281-0.85%29%5E%7B6-4%7D%3D0.17618)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D1-0.377-0.399-0.176)
![P(x](https://tex.z-dn.net/?f=P%28x%3C4%29%20%3D0.0473)
Answer:
The only two values that have the same absolute value of 34, is +34 and -34.
Step-by-step explanation: