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iren [92.7K]
3 years ago
6

3) 8p + 7q = 432 -7=-qhow can I solve this with substitution?​

Mathematics
1 answer:
Bess [88]3 years ago
6 0

Answer:

p=1, q=5. (1, 5).

Step-by-step explanation:

8p+7q=43

2-7=-q

------------------

-q=-5

q=5

--------

8p+7(5)=43

8p+35=43

8p=43-35

8p=8

p=8/8=1

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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
3 years ago
A wise man once said, “400 reduced by 3 times my age is 163.” What is his age? ( I need the step by step equation to solve this)
Ainat [17]

Answer: the wise man is 79

Step-by-step explanation:

400 - 3x = 163

400–163 =3x

237 = 3x or 3x = 237 or x = 79…

8 0
3 years ago
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Step-by-step explanation:

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weqwewe [10]

Answer:

7 shirts

Step-by-step explanation:

You first have to subtract 22 from 80, since that's how much she already spent, 80-22=58. Now you have to do 58/8, but since 8 doesn't divide evenly into 58, you have to go with the closet multiple of 8 which would be 56. 7x8=56, so Jenna can buy a maximum number of 7 shirts.

5 0
3 years ago
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balu736 [363]

Answer:

Step-by-step explanation:

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