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LiRa [457]
2 years ago
11

An employer provides two payment options for employees. Option A: Receive $200 the first week. Receive an additional $50 for eac

h of the following weeks. Option B: Receive $200 the first week. Receive an additional 10% for each of the following weeks. (Score for Question 1: ___ of 2 points)
Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
7 0

Based on the information, it can be inferred that payment option A means a payment of $450, while option B means a payment of $300.

<h3>How much money does each payment option receive?</h3>

The payment options contemplated by the employer are distributed as follows:

Option A

  • First week: $200
  • Second week: $200 + $50 = $250
  • Third week: $250 + $50 = $300
  • Fourth week: $300 + $50 = $350
  • Fifth week: $350 + $50 = $400
  • Sixth week: $400 + $50 = $450

Option B

  • First week: $200
  • Second week: $220
  • Third week: $240
  • Fourth week: $260
  • Fifth week: $280
  • Sixth week: $300

Note: This question is incomplete because there is some information missing. Here is the missing information:

Complete the tables to show how much money would be received for both payment options, each week, for 6 weeks.

Learn more about payment options in: brainly.com/question/18524042

#SPJ1

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DochEvi [55]

Answer:

No, at alpha equals 0.10​, we do not have enough evidence to support the​ county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.

<em><u>Let </u></em>\mu<em><u> = true mean speed of the vehicles.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  30 miles per hour   {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}

<u>Alternate Hypothesis,</u> H_A : \mu > 30 miles per hour   {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                        T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean speed of 15 vehicles = 31 mph

             s = sample standard deviation = 4.7 mph

             n = sample of vehicles = 15

So, <em><u>test statistics</u></em>  =   \frac{31-30}{\frac{4.7}{\sqrt{15} } }  ~ t_1_4

                               =  0.824

<u><em>Hence, the value of test statistics is 0.824.</em></u>

<em />

<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

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The scale on a drawing is 1 mm = 3 m. How many meters does 2 centimeters represent?
suter [353]
There are 10 millimeters in 1 centimeter. from that, we can calculate that one centimeter is equivalent to 30 meters. We are trying to find how many meters are in two centimeters so we multiply 30 meters by 2 and get the final answer of 60 meters.

2 Centimeters = 60 Meters

I hope this helped, Don't forget to rate me up it really helps.

Have a Great Day :)
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Answer:

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