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Morgarella [4.7K]
3 years ago
15

The number of employees for a certain company has been decreasing each year by 3%. If the company currently has 810 employees an

d this rate continues, find
the number of employees in 9 years.
Mathematics
1 answer:
8090 [49]3 years ago
6 0

Answer:

219 employees

Step-by-step explanation:

3% of decreasing rate of employees per year is calculated thus:

3\% \: of \: 810 \: employees

=  \frac{3}{100}  \times 810

= 24.3 \: employees \: per \: year

In 9 years,

= 24.3 \times 9

= 218.7 = 219 \: employees

Therefore, the number of employees for a certain company where decreasing rate of employees is 3% and continued to decrease for 9 years; and 810 employees are currently working is 219 employees. By implication, 810 + 219 = 1029 employees were working in the company 9 years ago.

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A randomized controlled study was designed to test whether regular drinking of cranberry juice can prevent the recurrence of uri
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Answer:

1. The chi-squared statistic = 10.36

The degrees of freedom = 17

The p-value for the test = 0.89

2. The range of the p-value from the Chi squared table = 0.75 < p-value < 0.90

Step-by-step explanation:

1. The Chi squared test is given as follows;

\chi ^{2} = \sum \dfrac{\left (Observed - Expected  \right )^{2}}{Expected  }

Therefore,

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Cranberry juice       8           42      84     50

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The chi-squared statistic is given as follows;

\chi ^{2} = \dfrac{\left (8- 18\right )^{2}}{18} +  \dfrac{\left (42 - 30\right )^{2}}{30} = 10.36

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The degrees of freedom, df = 18 - 1 = 17 since the all of the expected count have a minimum value of 18

With the aid of the calculator we find the p value as p as follows;

p = 0.9 - \dfrac{10.36 - 10.085}{12.972 - 10.085} \times (0.9 - 0.75)

The p-value for the test = 0.89  

2. The range of the p-value from the Chi squared table is given as follows;

0.75 < p-value < 0.90.

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