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3 years ago

Find the solution of the system of equations. -10x-y=27 -4x-y=9

Mathematics

2 answers:

AlekseyPX3 years ago

6 0

Answer:

x=−1/10 y+ −27/10

x=−1/4 y+ −9/4

Step-by-step explanation:

−10x−y=27

Step 1: Add y to both sides.

−10x−y+y=27+y

−10x=y+27

Step 2: Divide both sides by -10.

−10x /−10= y+27 /−10

x=−1/10 y+ −27 /10

−4x−y=9

Step 1: Add y to both sides.

−4x−y+y=9+y

−4x=y+9

Step 2: Divide both sides by -4.

−4x /−4= y + 9/−4

x= −1/4 y + -9/4

bogdanovich [222]3 years ago

4 0

Answer:

(-3,3)

Step-by-step explanation:

y=3

x=−3

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Suppose a shipment of 120 electronic components contains 3 defective components. to determine whether the shipment should be ac

Likurg_2 [28]

For this problem, the most accurate is to use combinations

Because the order in which it was selected in the components does not matter to us, we use combinations

Then the combinations are $nC_r = \frac{ n! }{r! (n-r)!}$

n represents the amount of things you can choose and choose r from them

You need the probability that the 3 selected components at least one are defective.

That is the same as:

(1 - probability that no component of the selection is defective).

The probability that none of the 3 selected components are defective is:

$P = \frac{_{117}C_3}{_{120}C_3}$

Where $_{117}C_3$ is the number of ways to select 3 non-defective components from 117 non-defective components and $_{120}C_3$ is the number of ways to select 3 components from 120.

$_{117}C_3 = 260130$

$_{120}C_3 = 280840$

So:

$P = \frac{260130}{280840} = 0.927$

Finally, the probability that at least one of the selected components is defective is:

$P = 1-0.927 = 0.0737$

P = 7.4%

3 0

4 years ago

A grocery store is offering a 50% discount off a $4.00 box of cereal. You also have a $1.00 off coupon for the same cereal. Use

HACTEHA [7]

It is best to use the discount first because the more value, higher percent.

Discount First:
4.00*.5 = $2.00 TOTAL
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You would save 50 cents

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3 years ago

Please help this is due today at 2pm Thanks!

Alja [10]

The formula for simple interest is:

A = P(1+rt)

Where P = amount borrowed

r = interest rate

t = time of loan

A = 5000(1 + 0.125*2)

A =6,250

The total amount she paid back was $6,250

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Her monthly payment was $260.42

7 0

3 years ago

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

3 years ago

1 – 7k + 3k 2 + 10k + 7 – 5k 2

Katyanochek1 [597]

1) The variables are "k"

2) There are 4 terms

3) The coefficients are k

4) The constants are -7, 3, 10, -5

5) The like terms is -7k, 3k, 10k, -5k

The answers are pretty direct but, hope this answers your question.

Have a great day/night!

8 0

3 years ago

Read 2 more answers