An hourly wage is normally distributed with a mean of $6.75 and a standard deviation of $0.55. What is the probability that an employee’s hourly wage is between $5.65 and $7.30 *
5 points
81.5%
68%
13.5%
95%

Answers

Answer 1

Answer:

Option A. 81.5%

Explanation:

Population mean, [tex]\mu = 6.75[/tex]

Standard deviation, [tex]\sigma = 0.55[/tex]

The question is to find [tex]p(5.65 < \bar{x} < 7.30)[/tex]

The z value is given by the formula:

[tex]z = \frac{\bar{x} - \mu}{\sigma}[/tex]

z - value corresponding to the mean, [tex]\bar{x} = 5.65[/tex]:

[tex]z_1 = \frac{5.65 - 6.75}{0.55}\\z_1 =-2.0[/tex]

z - value corresponding to the mean, [tex]\bar{x} = 7.30[/tex]:

[tex]z_1 = \frac{7.30 - 6.75}{0.55}\\z_1 =1.0[/tex]

[tex]p(5.65\leq \bar{x} \leq 7.30) = p(-2.0 \leq z \leq 1.0)\\p(-2.0 \leq z \leq 1.0) = p(z\leq 1) - p(z\leq -2)\\ p(-2.0 \leq z \leq 1.0) = 0.84134 - 0.02275\\p(-2.0 \leq z \leq 1.0) = 0.81859 \\p(-2.0 \leq z \leq 1.0) = 0.82[/tex]

Probability that an employee’s hourly wage is between $5.65 and $7.30 = 81.5%

Answer 2

The probability that an employee’s hourly wage is between $5.65 and $7.30 is 81.5%.

Z score is used to determine by how many standard deviation the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\\mu=mean,\sigma=standard\ deviation,x=raw\ score\\\\\mu=6.75,\sigma=0.55\\\\For\ x=5.65\\\\z=\frac{5.65-6.75}{0.55}=-2\\\\\\For\ x=7.30\\\\z=\frac{7.30-6.75}{0.55} =1[/tex]

P(-2 < z < 1) = P(z < 1) - P(z < -2) = 81.5%

The probability that an employee’s hourly wage is between $5.65 and $7.30 is 81.5%.

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Answer:

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Answers

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Answer:

Explanation:

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Answer:

Greek city-states developed different forms of governance with very different political structures and strengths.

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Answers

By annexing Ukrainian land on the Black Sea coast, Putin also annexes the rights to any hydrocarbons found in its maritime zones.

Answer:

The real answer is that Russia needed a port in the black sea for trade and influence. Also the old Russian empire fought the Ottomans to gain this territory. Back then in the Russian Empire era, There was no such thing as Ukrainian country nor a group. Even the now days Ukrainians have a different culture and dialect. West, East,North and  east Pontic steppe which are way more closer to Russia. Russia believed the Crimea and eastern Ukraine belongs to Russia. The reason for today's hatred of the Ukrainian people towards the Russians is that during Stalins soviet era, he starved many Ukrainians over 5 million died. The treatment of the Ukrainians was so bad that even when the Nazis arrived in the Ukraine during WW2, it was seen as liberation.

                         

Explanation:

Main reasons

1. Influence and trade

2.Crimea is majority Russian.

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Help!

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New England
Middle
Southern

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New England
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New England
Middle
Southern

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New England
Middle
Southern

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Southern

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4. Jamestown _______ D. A person who is forced to work for someone else for a certain
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1. What were two outcomes/effects of the Slave Trade on the world?

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Answers

Answer:

New England

Middle

New England

Middle

sur

Explanation:

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