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Neko [114]
3 years ago
15

A -2 1 B. 1 -1 The midpoint of AB = ([?],[ ])

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0

Answer:

midpoint of AB = (-1/2 , 0)

Step-by-step explanation:

A(-2 , 1) = (x1 , y1)

B(1 , -1) = (x2 , y2)

midpoint formula:

=(x1 + x2/2 , y1 + y2/2)

=(-2 + 1/2 , 1 + (-1)/2)

=(-1/2 , 0/2)

(-1/2 , 0)

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Answer:

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2 years ago
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Solve for substitution 8x+2y=13 and 4x+y=11
damaskus [11]
Solving for X:
1) y=-8x+6.5   y=-4x+11
2) -8x+6.5=-4x+11
3) -8x=-4x+11-6.5        (Subtract 6.5 from both sides)
4) -8x+4x=11-6.5         (Add 4x to both sides)
5)-4x=4.5
5)x=-1.125

Solving for Y:
y=-8(-1.125)+6.5
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x=-1.125
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7 0
3 years ago
A rectangular flower bed is five feet longer than it is wide. its area is eighty-four square feet.
777dan777 [17]
Lets say w is the width of the flower bed. We can make an equation to find the area.
The length of the of the flower bed is (w+5) and the width is w.
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Subtract (5y3 + 6y + 3y4) from (4y4 - 8y3).
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The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of vi
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Answer: 2185

Step-by-step explanation:

Let p be the proportion of visitors are campers.

Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.

The prior proportion of visitors are campers : p=0.35

Allowable error : E= 2%= 0.02

We know that the z-value for 95% confidence = z_c=1.96

Then by Central Limit Theorem , the required sample size would be :

n=p(1-p)(\dfrac{z_{c}}{E})^2

\Rightarrow\ n=0.35(1-0.35)(\dfrac{1.96}{0.02})^2\\\\ n= 0.35(0.65)(9604)

Simply , we get

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