2 years ago

A cyclist travels 9.2 km in 30 minutes. What is his average speed in km/h?

Mathematics

1 answer:

max2010maxim [7]2 years ago

3 0

Answer:

18.4km/h

Step-by-step explanation:

9.2km/.5hours=

18.4km/h

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Answer: $(57.41,\ 62.19)$

Step-by-step explanation:

Given : Sample size : $n=40$

Sample mean : $\overline{x}=59.8\text{ seconds}$

Standard deviation : $\sigma =9.2\text{ seconds}$

Significance level : $\alpha=1-0.9=0.1$

Critical value : $z_{\alpha/2}=1.645$

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)$

Hence, a 90% confidence interval estimate of the population mean of all students = $(57.41,\ 62.19)$

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3 years ago

A) Both data sets multiplicative relationships. In Data Set 1, y is 3 times x and in data set 2 y is 3.5 times x B) Both data sh

Sladkaya [172]

For table # 1:

x= 1 * 3.5 = 3.5

x = 2*3.5 = 7

x = 3*3.5 = 10.5

x = 4* 3.5 = 14

For table #2

x=1 * 3 = 3

x =2 * 3 = 6

x = 3*3 = 9

x = 4* 3 = 12

Hence, the data sets show multiplicative relationships:

For data set 1 is 3.5 times x, and in data set 2 y is 3 times x.

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If fx) is a linear function, which statement must be true?

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Answer:

B. f(x) has no x2-term.

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Answer: x = -1, -3

Step-by-step explanation:

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