Answer:
Solution: (3, 2)
Step-by-step explanation:
It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.
<u>x - 3y = -3</u>
-3y = -x - 3
Divide both sides by -3:
y = 1/3x + 1
where slope = 1/3
y-intercept = 1
<u>x + y = 5</u>
Subtract x from both sides to isolate y:
x - x + y = - x + 5
y = -x + 5
where slope = -1
y-intercept, 5
I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, <u>x - 3y = -3</u> is the blue line, while <u>x + y = 5</u> is the green line. Their intersection occurs at point, (3, 2).
Therefore, the solution is (3, 2).
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Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
The probability that he makes the next 2 free throws is:
The payout rules are:
- If the player makes the next 2 free throws, I will pay you $38.
- Otherwise you pay me $50.
Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
Thus, the expected value of the proposition is -$0.76.
Answer:
Step-by-step explanation:
Given
--- not -67
Required
Find q and r
Substitute values for d and b
Make q the subject
means that r is less than 8 but greater than or equal to 0
And r and q are integers.
Let
No other true values of r and q can be gotten.
1/2=5/10
1/5=2/10
1/2+1/5
=5/10+2/10
=7/10
So your answer is 7/10
The power will be negative as the number is < 1.
Count the number of digits after the decimal point until you came to first number > 0. (counting this number)
This comes to 5 so the answer is
1 * 10^-5 or just 10^-5
