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2 years ago

2. What is an expression for the distance between the origin and a point P(x, y)?

Mathematics

1 answer:

Hunter-Best [27]2 years ago

6 0

Step-by-step explanation:

Using distance formula: { origin is (0,0)}

√(x - 0)² + (y - 0)²

√x² + y²

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A runner’s goal is to complete a mile in 4 minutes or less. The runner’s speed is 20 feet per second. Does the runner meet the g

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Answer:

no, because the runner is short by 480 feet

Step-by-step explanation:

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5280 feet= 1 mile 20 feet= 1 second (times by 240)

4800 feet= 240 seconds

he is 5280-4800= 480 feet less

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Step-by-step explanation:

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In March 2015, a Nielsen global online survey "found that consumers are increasingly willing to pay more for socially responsibl

Veseljchak [2.6K]

Answer:

For this case the parameter of interest is given by:

$p$ who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

$\hat p = 0.66$

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

$E(\hat p) = p$

Step-by-step explanation:

For this case the parameter of interest is given by:

$p$ who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

$\hat p = 0.66$

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

$E(\hat p) = p$

For this case if we want to test if the population proportion is equal to an specified value we can use the one sample z test for a proportion:

Null hypothesis: $p=p_0$

Alternative hypothesis: $p \neq p_o$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .