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1 year ago

The most common triathlon distance for bicycle route is 40 kilometers.

Mathematics

1 answer:

deff fn [24]1 year ago

3 0

The cycle route for the triathlon is of 26 miles

A triathlon is an athletic event which involves races which involves of swimming, cycling, and running over various distances

According to the given data,

The most common triathlon distance for Bicycle route is 40 kilometers

1 mile = 1 .6 kilometer

Now we know that 1.6 kilometer is 1 mile

So we are required to convert kilometers of triathlon race into miles

Therefore, 40 kilometers in mile will be= 40/1.6 = 25 miles

Hence the cycle route is of 26 miles .

For further reference on conversion of miles to kilometer:

brainly.com/question/20857946?referrer=searchResults

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2 years ago

A lathe is set to cut bars of steel into lengths of 6 cm. The lathe is considered to be in perfect adjustment if the average len

Gnom [1K]

Answer:

$t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723$

E. -0.723

$df=n-1=93-1=92$

$p_v =2*P(t_{(92)}$

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Step-by-step explanation:

Information provided

$\bar X=5.97$ represent the sample mean for the length

$s=0.4$ represent the sample standard deviation

$n=93$ sample size

$\mu_o =6$ represent the value that we want to test

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the lathe is in perfect adjustment (6cm), then the system of hypothesis would be:

Null hypothesis: $\mu = 6$

Alternative hypothesis: $\mu \neq 6$

since we don't know the population deviation the statistic is:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing in formula (1) we got:

$t=\frac{5.97-6}{\frac{0.4}{\sqrt{93}}}=-0.723$

E. -0.723

P value

The degrees of freedom are given by:

$df=n-1=93-1=92$

Since is a two tailed test the p value would be:

$p_v =2*P(t_{(92)}$

Since the p value is very high we don't have enough evidence to conclude that the true mean for the lengths is different from 6 cm.

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2 years ago