Answer:
A. y=x+7
Explanation:
All of the answers are in y-intercept form (y=mx+b where m is the slope and b is the y-intercept), so the two points are used to solve for slope and y-intercept. Immediately, (0,7) gives the y-intercept because this point intercepts the y-axis at 7. Slope is found by dividing the rise over run between the two points. The points rise in y from 2 to 7 for a total of 5 units and the points run from -5 to 0 for a total of 5 units. Rise divided by run would be 5/5, simplified to a slope of 1. From this, slope=m=1 and y-intercept=b=7. Plugging these values into y=mx+b, the final answer is y=x+7.
Answer:
The value of the expected profit from the concert is 8,910
Step-by-step explanation:
Profit on a clear day X₁ = 36,000 with 13% probability.
i.e X₁ = 36000
P(X₁) = 0.13
Profit on a cloudy day = 17,000 with 39% probability.
i.e X₂ = 17000
P(X₂) = 0.39
else,
loss of 5,000 if it rains with the probability of 48%.
i.e X₃ = 5000
P(X₃) = 0.48
The value of the expected profit from the concert is obtained as follows
Expected Value = (36,000*0.13) + (17,000*0.39) - (5,000*0.48)
= 4,680 + 6,630 - 2,400
= 8,910
Answer:
The equation of the line is y = 4/3x - 8
Step-by-step explanation:
In order to find this, we first have to find the slope of the original line. We do this by solving for y.
3x + 4y = 20
4y = -3x + 20
y = -3/4x + 5
Now that we have the slope of -3/4 we can find the perpendicular slope. The perpendicular slope of any time is the opposite and reciprocal slope. So we flip -3/4 to get -4/3 and then we make it positive (4/3). Now that we have our new slope, we can input it along with the point into point-slope form to find the equation.
y - y1 = m(x - x1)
y - 0 = 4/3(x - 6)
y = 4/3x - 8
Answer 5.5
Explanation 125 + 125= 250
250 + 50=300
Is 2 125s and 1 50
Each 125 is 2.5
But in this case there is 2 125s
2.5+2.5=5
plus the other half = 5.5
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