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VMariaS [17]
3 years ago
14

The company has 5 employees, who earn a total of $1,000 each working day. They are paid each Monday for their work in the five-d

ay work week ending the previous Friday. Assume that December 31, is a Tuesday, and all 5 employees worked the first two days of the week. How much should be adjusted for on December 31?
Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
6 0

5 x 1,000 = 5,000 a week or 20,000 a month.

take 1,000 divide by 5 and you get 200 a day


$400 on december 31


irakobra [83]3 years ago
4 0

$400 is the final answer!! :)))

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Answer: 10

Step-by-step explanation:

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An automobile company wants to determine the average amount of time it takes a machine to assemble a car. A sample of 40 times y
aksik [14]

Answer:

A 98% confidence interval for the mean assembly time is [21.34, 26.49] .

Step-by-step explanation:

We are given that a sample of 40 times yielded an average time of 23.92 minutes, with a sample standard deviation of 6.72 minutes.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

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

where, \bar X = sample average time = 23.92 minutes

             s = sample standard deviation = 6.72 minutes

             n = sample of times = 40

             \mu = population mean assembly time

<em> Here for constructing a 98% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

<u>So, a 98% confidence interval for the population mean, </u>\mu<u> is; </u>

P(-2.426 < t_3_9 < 2.426) = 0.98  {As the critical value of z at 1%  level

                                               of significance are -2.426 & 2.426}  

P(-2.426 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.426) = 0.98

P( -2.426 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

P( \bar X-2.426 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ) = 0.98

<u>98% confidence interval for</u> \mu = [ \bar X-2.426 \times {\frac{s}{\sqrt{n} } } , \bar X+2.426 \times {\frac{s}{\sqrt{n} } } ]

                                     = [ 23.92-2.426 \times {\frac{6.72}{\sqrt{40} } } , 23.92+2.426 \times {\frac{6.72}{\sqrt{40} } } ]  

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Therefore, a 98% confidence interval for the mean assembly time is [21.34, 26.49] .

7 0
3 years ago
Ten times the sum of half a number x and 8 is 12.
Diano4ka-milaya [45]

BREAKDOWN

10 times: 10 ×

The sum of: ( ) + ( )

which would be : 10 × ( ) + ( )

half a number: 10 × ( X/2 ) + ( )

and 8: 10 × ( X/2 ) + ( 8 )

is 12 : 10 × ( X/2 + 8 ) = 12

xxxxxxxxxxxxxxxxxxx

SIMPLIFICATION

Multiply ten: 10 X (X/2 + 8) = 12

which equals to: 5x + 80 = 12

bring the like terms together: 5x = 80 - 12

Equals: 5x = 78

Find out X:. x = 78/5

FINAL ANSWER:. X = 15.9

XXXXXXXXXXXXXXXXXXXXXXXCCC

6 0
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