Write an expression for cos 68° using sine

A pilot flew a jet from City A to City B, a distance of 1700 miles. On the return trip, the average speed was 20% faster than th

ArbitrLikvidat [17]

The answer is about 650 mi/h

8 0

2 years ago

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Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.

zaharov [31]

$\\ \sf\longmapsto tan40=\dfrac{P}{430}$

$\\ \sf\longmapsto 0.83=\dfrac{P}{430}$

$\\ \sf\longmapsto P=430(0.83)$

$\\ \sf\longmapsto P\approx361m$

P=Height of tower

5 0

2 years ago

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Bones Brothers & Associates prepare individual tax returns. Over prior years, Bones Brothers have maintained careful records

madreJ [45]

Answer:

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

Step-by-step explanation:

Previous concepts

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 central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we have the following info related to the time to prepare a return

$\mu =90 , \sigma =14$

And we select a sample size =49>30 and we are interested in determine the standard deviation for the sample mean. From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation would be:

$\sigma_{\bar X} =\frac{14}{\sqrt{49}}= 2$

And the best answer would be

b. 2 minutes

3 0

2 years ago

You study whether childhood adversity has an impact of stress levels as an adult. Given your data, the probability of the data g

Gnom [1K]

Answer:

8.5

Step-by-step explanation:

Bayes factor is the ratio of the likelihood of one particular hypothesis against the likelihood of the another hypothesis. Bayes factor can be interpreted as a measure of strength of evidence in favor of one theory among two competing theories.

Bayes Factor is defined as below:

$\frac{likelihood of data given H1}{likelihood of data given H0}$

H1 = alternative hypothesis

H0 = null hypothesis

Bayes Factor = 0.85/0.1 = 8.5

5 0

2 years ago

Hadi earned $120.00 from his job yesterday. Today he expects to earn 15% less than yesterday and tomorrow he expects to earn 15%

alexira [117]

Yesterday Hadi earned: $120

Today he will earn: $120*85% = $102
(You times the amount yesterday by 85% because you want to find the 15% less of 100% of the amount he's earned yesterday. Therefore, to find 15% less than yesterday you multiply it by 85% (100% - 15%) )

Tomorrow he will earn: $102*115% = $117.30
(Same thing here, however you are finding 15% more than 100% today. Therefore, you multiply the amount he earned today it by 115% (100% + 15%) )

To find the amount he earns for the three days you must add the amount earned of yesterday, today and tomorrow earned from the working above.

Therefore, Hadi expects to earn:
Yesterday + Today + Tomorrow = 120 + 102 + 117.30 = $339.3

3 0

2 years ago

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