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Shalnov [3]
3 years ago
14

The following nine values represent race finish times in hours for a randomly selected group ofparticipants in an extreme 10k ra

ce (a 10k race with obstacles). Which of the following is closest tothe mean of the following data set?1.0, 1.2, 1.2, 1.3, 1.4, 1.5, 1.5, 1.7, 2.1
Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

The mean for the given sample of finish race time is 1.43 hours.

Step-by-step explanation:

We are given the following in the data set:

1.0, 1.2, 1.2, 1.3, 1.4, 1.5, 1.5, 1.7, 2.1

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{12.9}{9} = 1.43

The mean for the given sample of finish race time is 1.43 hours.

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Step-by-step explanation:

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3 0
3 years ago
John is a High School principal. He earns $62,299.92 a year and is paid on a semimonthly basis. How much is deducted per pay per
LenKa [72]

Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

Medicare Liability = 1.45% x $2595.83 = $37.64 semimonthly payments

Step 3 Find the social security liability using Medicare rate and annual income

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8 0
3 years ago
Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th
devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor                            Coefficient

Constant                             3.0979

Square root of items          2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

\hat{y}=3.0979+2.7633x

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

\hat{y}=3.0979+2.7633(22)

\hat{y}=63.8905

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

8 0
3 years ago
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