(a) No preference is given to any one student?
<span>A simple combination of four selections out of 14: </span>
<span>
14! / (10! 4!) = 14*13*12*11 / (4*3*2*1) </span>
<span>
= 7*13*11 = 1,001 </span>
<span>(b) One particular student must be awarded an assistantship? </span>
<span>That leaves 3 selections out of 13 for the other positions: </span>
<span>
13! / (10! 3!) = 13*12*11 / (3*2*1) </span>
<span>
= 13*2*11 = 286 </span>
<span>(c) The group of applicants includes eight men and six women and it is stipulated that at least one woman must be awarded an assistantship? </span>
<span>We have the original 1,001 possibilities from part (a), minus all of those that awarded all the positions to men: </span>
<span>
1,001 - 8! / (4! 4!) = 1,001 - 8*7*6*5 / (4*3*2*1) </span>
<span>
= 1,001 - 70 = 931
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Answer:
The percentage of the total annual expenses for product payment costs is <u>11.49%</u> .
Step-by-step explanation:
Given:
Annually costs on product company spends = $34000 and total annual expenses = $296000.
Now, to get the percentage of the total annual expenses for product payment costs. We will calculate the percentage, $34000 by $296000:
According to question:
Now, rounding to the nearest hundredth of a percent to 11.486 will be 11.49. As we see 6 in the thousandth place and 8 in hundredth place so rounding to decimal in hundredth place will change 8 into 9.
Therefore, the percentage of the total annual expenses for product payment costs is 11.49% .
<span>Round your answer yo the nearest hundredth meter</span>
The factors are basically the numbers that you can multiply to get the number. For example, 9 and 7 multiplied give you 63, 3 and 21 also give 63, so those are factors of 63