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JulsSmile [24]
3 years ago
9

7x+9y=-41 and x+3y=1. Solve system of equations

Mathematics
1 answer:
galben [10]3 years ago
7 0

9514 1404 393

Answer:

  (x, y) = (-11, 4)

Step-by-step explanation:

You can subtract 3 times the second equation from the first to eliminate y.

  (7x +9y) -3(x +3y) = (-41) -3(1)

  4x = -44

  x = -11

Substituting into the second equation gives ...

  -11 +3y = 1

  3y = 12

  y = 4

The solution is (x, y) = (-11, 4).

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3 years ago
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4 0
2 years ago
A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random samp
motikmotik

Answer:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) H_0: \bar x= 12 oz\\H_a: \bar x >12

(Right tailed test)

Mean difference /std error = test statistic

\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

3 0
3 years ago
Fiona was thinking of a number. Fiona doubles it and adds 5.1 to get an answer of 11.5. Form an equation with x? Whats the answe
saveliy_v [14]

Answer:

3.2

Step-by-step explanation:

11.5 - 5.1 = 6.4

6.4 ÷ 2 = 3.2

4 0
2 years ago
If x- 3/4 =2 1/9 what does the x equals?
Romashka-Z-Leto [24]
3/4+-2 1/9=your ****ing answer
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3 years ago
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