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photoshop1234 [79]
3 years ago
8

I need this done by tonight!

Mathematics
1 answer:
ratelena [41]3 years ago
8 0

Answer:

the answer is (x,y) = (6,6)

Step-by-step explanation:

1) first solve the equation for 2y

you should've gotten:

2y = -6 + 3x

5x - 2y = 18

2) substitute the value of 2y into the equation

5x - 2y = 18

so, 5x -(-6 + 3x) = 18

3) now solve 5x -(-6 + 3x) = 18

4) from that solving that equation, u should've gotten x = 6

5) now plug in 6 for x in the other equation, solve for y

( • stands for multiplication if u didn't know, we use this in higher levels of math so multiplication symbols and x variables aren't confused)

5 • 6 - 2y = 18

6) after solving for y in the previous equation, u should've gotten y = 6

7) now we know that x = 6 and y = 6, however it is always important to check if ur answer is correct by plugging in the x value y values u ended up with into the original system of equations.

checking ur work would look something like this:

2(6) = -6 + 3(6)

5(6) - 2(6) = 18

hope this helps <3

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kvv77 [185]

Answer:

The correct 95% confidence interval is (8.4, 8.8).

Step-by-step explanation:

The information provided is:

n=500\\\bar x=8.6\\\sigma=2.2

(a)

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

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The 95% confidence interval for the average satisfaction score is computed as:

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This confidence interval is incorrect.

Because the critical value is multiplied directly by the standard deviation.

The correct interval is:

8.6\pm 1.96 (\frac{2.2}{\sqrt{500}})=8.6\pm 0.20=(8.4,\ 8.6)

(b)

The (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true there is a 95% confidence that the true parameter value is contained in this interval.

The mistake is that the student concluded that the sample mean is contained in between the interval. This is incorrect because the population is predicted to be contained in the interval.

(c)

The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.

The 95% confidence interval for the mean rating, (8.4, 8.8) implies that the true mean satisfaction score is contained between 8.4 and 8.8 with probability 0.95 or 95%.

Thus, the students is not making any misinterpretation.

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According to the Central Limit Theorem if we have a population with mean <em>μ</em> and standard deviation <em>σ</em> and we take appropriately huge random samples (<em>n</em> ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

In this case the sample size is,

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laila [671]

Answer:

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Step-by-step explanation:

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