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3 years ago

Who has a constant rate of pay

Mathematics

1 answer:

Setler79 [48]3 years ago

7 0

Answer:

Jane has a constant rate of pay because her earnings go up by 12 every unit of time.

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What is the first step to solving a system of linear equations algebraically?

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3 years ago

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A football is kicked vertically upward from a height of 4 feet with an initial speed of 65 feet per second. The formula h=4+65t−

KATRIN_1 [288]

Answer: h = 70ft

Step-by-step explanation: To find the height the ball reached after 2 seconds, substitute variable t for 2 and calculate height:

$h=4+65t-16t^{2}$

$h=4+65.2-16.2^{2}$

$h=4+65.2-16.4$

$h=4+130-64$

h = 70

After 2s, the football reached a height of 70 feet.

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4 years ago

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A $17,000 deposit in an account with an APR of 3.5%. The balance in the account after 20 year is approximately

kenny6666 [7]

Answer:

it will be 11900 in 20 years.

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3 years ago

a 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider ?

Gala2k [10]

Answer:

1. The population of interest on this case is people who felt fully engaged with their mortgage provider

2. On this case the sample size is 1627 the number of people sample selected.

3. $ME=1.96\sqrt{\frac{0.22 (1-0.22)}{1627}}=0.0201$

4. The 95% confidence interval would be given (0.1999;0.2401).

5. We are confident 95% that the true proportion of proportion is between 0.1999 and 0.2401.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

1. What is the population?

The population of interest on this case is people who felt fully engaged with their mortgage provider

2. What is the sample size?

On this case the sample size is 1627 the number of people sample selected.

3. What is the 95% margin of error?

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If we replace we got:

$ME=1.96\sqrt{\frac{0.22 (1-0.22)}{1627}}=0.0201$

4. What is the 95% confidence interval?

The confidence interval would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.