Answer: 100 i think, but am not sure.
Step-by-step explanation:
The formula for area of a rectangle is A=l*w. Since the area is 84, then you can use the A=l*w formula. 84 = x(x+8) would be the equation to solve for x.
Now, you need to put the equation in standard form. So, x2 + 8x - 84 = 0.
Since you can't solve this quadratic using factoring, you need to complete the square.
To complete the square you need to add 84 to both sides. Now you have x2 + 8x = 84. Take the coefficient for the x term (8) and divide by 2. Now square it. That would be 42, so 16. Now you have x2 +8x +16 = 100.
Factor x2 +8x +16, so (x+4)2 = 100
If you use the square root property, you have x+4 = 10. Therefore, x = 6 (the short side) and 14 is the long side.
Answer: y = 3x-8
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Explanation:
The slope is 3, so m = 3
The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)
We'll use m = 3, x = 3 and y = 1 to find the y intercept
y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8
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So we're given m = 3 as the slope and we just found that b = -8 is the y intercept
So y = mx+b updates to y = 3x-8. This is the final answer.
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Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.
Answer:
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)
Step-by-step explanation:
<em>Step(i)</em>:-
<em>Given sample size 'n' =300</em>
Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.
<em>Given sample proportion </em>
<em> </em>
level of significance = 90% or 0.10
Z₀.₁₀ = 1.645
<em>90% confidence interval for the proportion is determined by</em>
(0.6066 - 0.0463 ,0.6066 + 0.0463)
(0.5603,0.6529)
<u>final answer</u>:-
<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>
(0.5603,0.6529)
