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3 years ago

Why do some equations have the same variable on both sides?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

If they are the same, they cancel out, or if one is higher, you can divide to cancel them out

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Assume a recent sociological report states that university students drink 5.10 alcoholic drinks per week on average, with a stan

Lerok [7]

Answer:

Mean of sampling distribution = 5.10 alcoholic drinks per week

Standard deviation of the sampling distribution = 0.11

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 5.10 alcoholic drinks per week

Standard Deviation, σ = 1.3401

Sample size, n = 150

a) Mean of sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

$\mu_{\bar{x}} = \mu = 5.10$

b) Standard deviation of the sampling distribution

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3401}{\sqrt{150}} = 0.11$

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3 years ago

Graph the quadratic function f(x) = -2x^2 + 5x + 2

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Answer:

Step-by-step explanation:

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3 years ago

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14. Find the greatest common factor (GCF) of 45xy^2? and -60y.

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Answer:

The greatest common factor (GCF) is 15 y.

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3 years ago

The price of a sofa was reduced from $250 to $180. By what percentage was the price

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Answer:

the price was reduced by 28%

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In a 3M Privacy Filters poll, 806 adults were asked to identify their favorite seat when they fly, and 492 of them chose a windo

Snowcat [4.5K]

Answer:

Step-by-step explanation:

If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.

We would set up the hypothesis test.

For the null hypothesis,

p = 0.45

For the alternative hypothesis,

p > 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 492

n = number of samples = 806

P = 492/806 = 0.61

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24

From the normal distribution table, the p value < 0.00001

Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.

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3 years ago