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Dmitrij [34]
3 years ago
9

In 1989, Dutch ice skater Dries van Wijhe skated 200 km at an average speed of 35.27 km/h. How long was he skating? Use the form

ula d = rt, where d is the distance in km, r is the rate in km/h, and t is the time in hours.
Mathematics
2 answers:
skelet666 [1.2K]3 years ago
8 0
Divide 35.72 on all sides
5.670542
katrin [286]3 years ago
5 0
200=35.27t
 Divide 35.72 on both sides 
t=<span>5.670542</span>
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In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million peopl
babunello [35]

Answer: Option A

P = 5.3 + 0.09125t

Step-by-step explanation:

Note that for the initial year, 1990, the population was 5.3 billion.

The exchange rate is 0.09125 billion per year. In other words, each year there are 0.09125 billion more people.

In year 2 there will be 0.09125 * 2 billion people

In year 3 there will be 0.09125 * 3 billion people

In year 4 there will be 0.09125 * 4 billion people

In year t there will be 0.09125 * t billion of people

So the equation that models the number of people that there will be as a function of time is:

P = P_0 + rt

Where P_0 is the initial population

P_0 = 5.3 billion

r is the rate of increase

r = 0.09125 billion per year

finally the equation is:

P = 5.3 + 0.09125t

The correct answer is option A.

6 0
3 years ago
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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
denpristay [2]

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

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\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.

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3 years ago
Mike and Andy are each reading the same book. Mike read \frac{2}{4} 4 2 ​ of the book on Tuesday and \frac{1}{3} 3 1 ​ of the bo
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Answer:

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Step-by-step explanation:

Mike and Andy are each reading the same book.

For Mike

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Converting to decimal

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Andy is wrong

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A water canal has a rectangular cross section 3 meters wide and 2 meters deep. How much water is contained in a 30-meter length
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If 60% of the water has evaporated, 40% is left.  Find 40% of 180 cubic meters to answer the 2nd part of this question.
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What is the square root of 15
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It rounds up to 4 but its actully 3.8729833462074168851792653997824
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3 years ago
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