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3 years ago

NEED HELP WITH FUNCTION AND RANGE AND DOMAIN PLZ HELP

Mathematics

1 answer:

koban [17]3 years ago

5 0

So here the domain would be {0,5,10} because the domain represents all possible x-values. The range would be {2,3,4,5} because the range represents all possible y-values. This wouldn't be a function because the 0 is used with both the 2 and the 3 (a function is defined as a set of values where individual each value is "paired" with an individual value)

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4 years ago

A shoe manufacturer was investigating the weights of men's soccer cleats. He felt that the weight of these cleats was less than

aleksklad [387]

Answer:

The conclusion is that the researcher was correct

Step-by-step explanation:

From the question we are told that

The sample size is $n = 13$

The sample mean is $\= x = 9.63$

The standard deviation is $s = 0.585$

The significance level is $\alpha = 0.05$

The Null Hypothesis is $H_o : \mu = 0$

The Alternative Hypothesis is $H_a = \mu < 10$

The test statistic is mathematically represented as

$t = \frac{\= x - \mu }{\frac{s}{\sqrt{n} } }$

Substituting values

$t = \frac{9.63 - 10 }{\frac{0.585}{\sqrt{13} } }$

$t = - 2.280$

Now the critical value for $\alpha$ is

$t_{\alpha } = 1.645$

This obtained from the critical value table

So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected

The conclusion is that the researcher was correct

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