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Assoli18 [71]
4 years ago
9

Your bedroom needs new carpeting, and you calculated it's square footage to be 80 ft^2. When you took the dimensions to the carp

et store, they recommended you buy 96 ft^2. What percent extra is the store recommending?
Mathematics
1 answer:
ArbitrLikvidat [17]4 years ago
8 0
The store is recommending a 20% extra
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The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34
victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation =  $90,000

Mean sales price =$345,800

sample mean =  $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

B)

calculate z score for (\bar x = 350000)

z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}

z = 2.133

P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

P(Z\leq 2.133) = 0.9836

P(Z\leq 0.467) = 0.6796

SO,  = 0.9836 - 0.6796 = 0.3040

4 0
4 years ago
Solve using elimination.<br> 8x – 6y = -6<br> 2x – 4y = -14
vovangra [49]
I’m not sure if you want the answer or how to do i’ll just give you both.
multiply the bottom by -4. then it should look like:
8x-6y=-6
-8x+16y=56
then cancel out the x’s and add/subtract the others, giving you: -2y=50. then divide 50 by -2 giving you: y=-25. then find x. plug in y to one of the equations. i usually do the one that hasn’t been messed with. 8x-6(25)=-6. then solve it like a normal two-step equation.
so the answer is: (18,-25)
7 0
3 years ago
Solve for X: -2(x+3)=-2(x+1)-4
vodomira [7]

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (8,4) and (2,7)
Fudgin [204]

Answer:

Step-by-step explanation:

Use the midpoint formula: \frac{ChangeInX}{2} ,\frac{ChangeInY}{2}

So, the Change In X is 2-8 = -6

And the Change in Y is 7-4 = 3

Once you divide both of the changes by 2, you get

X: -3

Y:  \frac{3}{2}

So the midpoint is: (-3,\frac{3}{2})

4 0
3 years ago
Need some help with model contexts with two variable expressions
malfutka [58]
Answer is
=1720 pounds
30s, 70 L

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