Answer:
1 gamma = 15/8 alphas
Step-by-step explanation:
so we start by finding out what 1 gamma and 1 beta equals.
we know 4 gammas = 5 betas so if we divide by four on both sides we get:
1 gamma = 5/4 betas. we can apply that same procedure to 2 betas = 3 alphas and get 1 beta = 3/2 alphas
we know that 1 gamma = 5/4 betas and 1 beta = 3/2 alphas so how many alphas = 5/4 betas? using a proportion of ((3/2)/1) = ((x)/(5/4)) we can find that 5/4 betas = 15/8 alphas
therefore we know 1 gamma = 15/8 alphas or 1 and 7/8 alphas
Answer: 0.9730
Step-by-step explanation:
Let A be the event of the answer being correct and B be the event of the knew the answer.
Given: 
If it is given that the answer is correct , then the probability that he guess the answer 
By Bayes theorem , we have
Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.
Answer:
6x - 15y = -63
15x -15y = -90
Step-by-step explanation:
We need to multiply the two equations by a constant that will eliminate the y terms.
The two equations are:
2x - 5y = -21
3x - 3y = -18
Let us multiply the first by 3 and the second by 6. The resulting equations will be:
6x - 15y = -63
15x -15y = -90
Note: To solve the system of equations we can simply subtract the first from the second.
B. As the x-values increase, the y- valuebtend to decrease.
