Answer:
x=80° ...................
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Change to slope-intercept form:</u>
- 2x + 3y = 1470, isolate y
- 3y = -2x + 1470, divide all terms by 3
- y = -2/3x + 490
The slope is -2/3 and y-intercept is 490
<u>Functional notation, change y to f(x)</u>
To graph the line, plot the intercepts and connect with the line.
<u>If the total is $1593 for the next month, the function would be:</u>
<u>Changing to slope-intercept:</u>
The slopes are same, therefore the lines are parallel.
The difference is the y-intercept, it is greater in the next month.
The graphs are attached, with intercepts shown.
Answer: 85
Step-by-step explanation:
I = prt
I = .035(50)(20)
I = 35
35 + 50 = 85
sorry if wrong but i think its the answer
Answer:
0.25 is the required probability.
Step-by-step explanation:
We are given the following in the question:
Probability that like book 1 = 0.6
![P(1) = 0.6](https://tex.z-dn.net/?f=P%281%29%20%3D%200.6)
Probability that like book 2 = 0.5
![P(2) = 0.5](https://tex.z-dn.net/?f=P%282%29%20%3D%200.5)
Probability that Maria likes both the books = 0.4
![P(1\cap 2) = 0.4](https://tex.z-dn.net/?f=P%281%5Ccap%202%29%20%3D%200.4)
We have to find the conditional probability that she will like book 2 given that she did not like book 1.
Thus, we have to evaluate:
![P(2|1') = \dfrac{P(2\cap 1')}{P(1')} = \dfrac{P(2)-P(1\cap 2)}{1-P(1)}\\\\P(2|1') =\dfrac{0.5-0.4}{1-0.6} = 0.25](https://tex.z-dn.net/?f=P%282%7C1%27%29%20%3D%20%5Cdfrac%7BP%282%5Ccap%201%27%29%7D%7BP%281%27%29%7D%20%3D%20%5Cdfrac%7BP%282%29-P%281%5Ccap%202%29%7D%7B1-P%281%29%7D%5C%5C%5C%5CP%282%7C1%27%29%20%3D%5Cdfrac%7B0.5-0.4%7D%7B1-0.6%7D%20%3D%200.25)
0.25 is the conditional probability that Maria will like book 2 given that she did not like book 1.