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Sonbull [250]
2 years ago
12

Sakura speaks 150150150 words per minute on average in Hungarian, and 190190190 words per minute on average in Polish. She once

gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 555 minutes total giving both instructions, and spoke 270270270 more words in Polish than in Hungarian. How long did Sakura speak in Hungarian, and how long did she speak in Polish?
Mathematics
1 answer:
Vinil7 [7]2 years ago
4 0
Hello

The answer is <span> 3 minutes speaking Polish and 2 minutes speaking Hungarian.

Have a nice day</span>
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An increase in walking has been shown to contribute to a healthier life-style. A sedentary American takes an average of 5000 ste
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Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

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1 year ago
How many terms are present in the expression (2 + 5 + 8)? A). 1. B). 2. C). 3. D). 15.
Arlecino [84]
In this specific problem each term is separated by an addition sign , so you have a total of 3 terms . The correct answer is " C."<span />
4 0
2 years ago
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Zachary’s final project for college course took a semester to write and had 95,234 words.zachary wrote 35,295 words the first mo
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Answer:

40,999

Step-by-step explanation:

95,234-35,295= 59,939 and then 59,939-19,240= 40,999

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2 years ago
This side of square S is twice the diameter of circle C what is the greatest possible number of points of intersection of perime
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2

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C is too small to have more.

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1 year ago
se the function to show that fx(0, 0) and fy(0, 0) both exist, but that f is not differentiable at (0, 0). f(x, y) = 9x2y x4 + y
alexandr1967 [171]

Answer:

It is proved that f_x, f_y exixts at (0,0) but not differentiable there.

Step-by-step explanation:

Given function is,

f(x,y)=\frac{9x^2y}{x^4+y^2}; (x,y)\neq (0,0)

  • To show exixtance of f_x(0,0), f_y(0,0) we take,

f_x(0,0)=\lim_{h\to 0}\frac{f(h+0,k+0)-f(0,0)}{h}=\lim_{h\to 0}\frac{\frac{9h^2k}{h^4+k^2}-0}{h}\\\therefore f_x(0,0)=\lim_{h\to 0}\frac{9hk}{h^4+k^2}=\lim_{h\to 0}\frac{9k}{h^3+\frac{k^2}{h}}=0    exists.

And,

f_y(0,0)=\lim_{k\to 0}\frac{f(h,k)-f(0,0)}{k}=\lim_{k\to 0}\frac{9h^2k}{k(h^4+k^2)}=\lim_{k\to 0}\frac{9h^2}{h^4+k^2}=\frac{9}{h^2}   exists.

  • To show f(x,y) is not differentiable at the origin cheaking continuity at origin be such that,

\lim_{(x,y)\to (0,0)}\frac{9x^2y}{x^4+y^2}=\lim_{x\to 0\\ y=mx^2}\frac{9x^2y}{x^4+y^2}=\frac{9x^2\times m x^2}{x^4+m^2x^4}=\frac{9m}{1+m^2}  where m is a variable.

which depends on various values of m, therefore limit does not exists. So f(x,y) is not continuous at (0,0). Hence it is not differentiable at (0,0).

4 0
2 years ago
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