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3 years ago

Solving using elimination -7x-y=-17 7x-5y=-1

Mathematics

1 answer:

Alik [6]3 years ago

6 0

Answer:

x=2, y=3

Step-by-step explanation:

-7x-y=-17

7x-5y=-1

Add the two equations together to eliminate x

-7x-y=-17

7x-5y=-1

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

-6y = -18

Divide by -6

-6y/-6 = -18/-6

y = 3

Now we need to find x

7x -5y = -1

7x -5(3) = -1

7x -15 = -1

Add 15 to each side

7x -15+15 = -1+15

7x = 14

Divide by 7

7x/7 = 14/7

x =2

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The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp

Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

$P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)$

$P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})$

$P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})$

From Z tables:

$P(31000 < X$

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0

3 years ago

What is the opposite of the opposite of negative nine?

pogonyaev

Answer:

-9 or negative 9

Step-by-step explanation:

The opposite of negative 9 is positive 9.

The opposite of <em>that</em> is negative 9.

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3 years ago

Read 2 more answers

If f(3)=8 and f'(3)=5 what do you know about f^-1

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24 is the answer for(3)=8

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4 years ago

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