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11111nata11111 [884]
3 years ago
10

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,5

)?​

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The point slope form of a line is y - y_1 = m(x-x_1). If the point is (2,5) then the equation will be y - 5=m(x-2). Only option C matches this equation.

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Find the mean, median, mode, and range of this data: 49, 49, 54, 55, 52, 49, 55. If necessary, round to the nearest tenth.
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On the last day of a Shakespeare class, an English teacher asked her students which play
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6/20=3/10

Step-by-step explanation:

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Write fraction as mixed number
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A recent article in The Wall Street Journal compared the cost of adopting children from China with that of Russia. For a sample
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Answer:

We can conclude the mean cost is larger for adopting children from Russia.

Step-by-step explanation:

To answer this question we can perform an hypothesis testing on the differences of the means with the following null and alternative hypothesis:

H_0: \mu_1\leq\mu_2\\\\H_1: \mu_1>\mu_2

The significance level we assume is 0.05.

First we calculate the mean standard error:

MSE=\frac{SSE}{df}=\frac{n_1\sigma_1^2+n_2\sigma_2^2}{(n_1-1)+(n_2-1)} =\frac{16*835^2+18*1545^2}{16-1+18-1} =1,691,314

The harmonic mean of the sample sizes is:

n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{0.0625+0.0556}=\frac{2}{0.1181}=16.94

Then we can calculate the estimated standard deviation as:

\sigma=\sqrt{\frac{2MSE}{n_h} } =\sqrt{\frac{2*1691314}{16.94} } =447

The t-statistic can be calculated as:

t=\frac{\Delta M-\Delta \mu}{\sigma}=\frac{(11045-12840)-0}{447} =\frac{-1795}{447}= -4.015

The degrees of freedom are df=n_1+n_2-2=18+16-2=32.

We can look up the P-value in a table or applet. For t=-4.015 and df=32, the P-value is 0.00017.

The P-value is smaller than the significance level, so the effect is significant and the null hyphotesis (China cost is equal or less than in Russia) is rejected.

We can conclude the mean cost is larger for adopting children from Russia.

4 0
3 years ago
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