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Stells [14]
3 years ago
8

If (x, y) is a solution to the system of equations, what is the value of x?

Mathematics
1 answer:
GREYUIT [131]3 years ago
3 0

Answer:

B) -4

Step-by-step explanation:

(5/2)x + y = 2

x + (2/3)y = 4

y = 2 - (5/2)x

x + (2/3)(2 - (5/2)x) = 4

x + 4/3 - (5/3)x = 4

(-2/3)x = 8/3

-2x = 8

x = -4

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Fiesta28 [93]

500 - 30x = 150 + 20x
x = 7

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Find the solution of this system of equations?<br><br> -8x-6y=60<br><br> 5x+6y=-69
zvonat [6]
First subtract the x variable on both sides so on the first equation youll have -6y=8x+60 then divide 6 on all variables which means youll have y=8/6x+10 and in the second equation you do the same thing and youll have y=-5/6x-11.5
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A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

Thus, the reasonable range for the population mean is (61%, 75%).

5 0
3 years ago
Find the area of a trapezoid<br> Explain please
djverab [1.8K]

Answer:

32

Step-by-step explanation:

Area = a+b/2 * h

6+10/2= 8

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7 0
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a ferry boat collects 67 people at pier one. At pier two 36 people get on and 23 people get off. At pier three 18 get on and 29
GREYUIT [131]

Starts off with 67 people.

Pier two: 67 + 36

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Pier three: 80 + 18

                 98 - 29 = 69

There will be 69 people on the boat heading for Pier four

6 0
3 years ago
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