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fiasKO [112]
3 years ago
5

Estimate the solution to the system of equations. 7x−y=7 x+2y=6 ​

Mathematics
1 answer:
ElenaW [278]3 years ago
3 0

Answer:

I am not sure how your teacher wanted you to estimate the answer but I solved it for you. Hopefully this helps.

Step-by-step explanation:

7x-y=7

x+2y=6

14x-2y=14

x+2y=6

add both equations

15x=20

x=20/15

x=4/3

x+2y=6

4/3+2y=6

2y=6-4/3

2y=18/3 -4/3

2y=14/3

divide both sides by 2

y= 14/3 divided by 2

y=14/3(1/2)

y=14/6

2y=

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Answer:

[0.9 months, 32.69 months]

Step-by-step explanation:

The mean is

\bf \bar x=\frac{5+17+12+21+29}{5}=16.8

The standard deviation is

\bf s=\sqrt{\frac{(5-16.8)^2+(17-16.8)^2+(12-16.8)^2+(21-16.8)^2+(29-16.8)^2}{5}}=8.1092

Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95 </em>

Using a spreadsheet we find these values are

a = 0.906

b = 32.694

<h3>(See picture) </h3>

and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is

[0.9 months, 32.69 months]

4 0
3 years ago
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7 0
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Step-by-step explanation:

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3 years ago
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8 0
2 years ago
Read 2 more answers
3. An exclusive clothing boutique triples the price of the items it purchases
Juli2301 [7.4K]

Answer:

a) MARKUP PERCENT = 200%

b) <u>If the cost price of clothing A  = $10</u>

    then its retail price  = $30

   <u> If the cost price of clothing B   = $25</u>

   then its retail price  = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now,  boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value  = 3 a

a)  MARK UP Percentage = (\frac{\textrm{SP - CP}}{CP})  \times 100

\implies \%  = (\frac{3a-a}{a} ) \times 100 =  200 \%

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

<u>If the cost price of clothing A  = $10</u>

then its retail price  = 200% of 10 +  10  = 20 + 10 = $30

<u>If the cost price of clothing B   = $25</u>

then its retail price  = 200% of 25 +  25  = 50 + 25 = $75

7 0
3 years ago
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