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Stella [2.4K]
3 years ago
5

The function C(x)=−10x+1764 represents the cost to produce x items. What is the least number of items that can be produced so th

at the average cost is no more than $32?
Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

42

Step-by-step explanation:

(-10*42+1764)/42

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A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Zina [86]

<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed.  There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}

Hence, the number of ways to form the committee is formed = 637065

7 0
3 years ago
Find each probability if a die is rolled.<br> P(divisible by 4)
olga2289 [7]
When a die is rolled, there are six posible results:
1, 2, 3, 4, 5, and 6
Total number of posible results: n=6

Divisible by 4 is only the result 4
Number of favorable results: f=1

P(divisible by 4)=f/n
P(divisible by 4)=1/6
P(divisible by 4)=0.1667
P(divisible by 4)=0.1667*100%
P(divisible by 4)=16.67%

P(divisible by 4)=1/6=0.1667=16.67% 
4 0
3 years ago
A store has a sale with 30% off every item. When you enter the store, you receive a coupon that states that you receive an addit
sergey [27]

Answer:

No, It is not equal to a 60% discount.

Step-by-step explanation:

Think of this. I go into a store and everything is 50% off and I have a coupon myself that is a 50% off discount for a specific item. It may seem like the item is now free, but it isn't. Imagine the item was $1 before any discount. Then the store took 50% off of the $1, leaving it at $0.50. So now with my discount of 50% off the item I will be taking this 50% off of $0.50 = my final discounted cost of $0.25.

Hope I helped you understand :)

6 0
3 years ago
Find the value of given expression
Lerok [7]

Answer:

√{395×395}=√395²=395 is your answer

8 0
2 years ago
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Answer:

Step-by-step explanation:

All real numbers because x can assume every possible value

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