The break-even point occurs when the cost function equals the revenue function: 550 + 3.00x = 5.50x
Naturally Made needs to sell 220 products to break even
The cost or revenue when it sells the break-even number of products will be $1,210
Answer:
3285
Step-by-step explanation:
5x3144=15720
3990
15720+3990=19710
19710/6=3285
If the exclusion of Miss Jones and Mr Smith serving together was not present, the are 15C4 = 1365 ways of selecting the committee.
Miss Jones can serve on the committee in the following ways:
a) with 3 men
b) with 2 men and another woman
c) with 1 man and 2 other women
d) with 3 other women.
Arrangement d) obviously presents no restrictions.
Arrangement a) has 7C3 ways excluding Mr Smith, and 8C3 ways if Mr Smith was included.
Arrangement b) has 7C2 * 6 ways excluding Mr Smith, and 8C2 * 6 ways if Mr Smith was included.
Arrangement c) has 7 * 6C2 ways excluding Mr Smith, and 8 * 6C2 ways if Mr smith was included.
The reductions in ways caused by the restriction are as follows:
a) 8C3 - 7C3 = 21 ways
b) 6(8C2 - 7C2) = 42 ways
c) 6C2 = 15 ways
The total reduction in the number of ways is: 21 + 42 + 15 = 78.
Therefore the total number of ways of selecting the committee, while observing the restriction, is 1365 - 78 = 1287 ways.
Answer :
The shape of the distribution of the sample usually contains the given two points :
1. The sampling distribution is skewed for small sample sizes. Also, the distribution will be non-normal if the sample size is small
2. The shape of the sampling distribution gets more and more normal-like (bell shaped) as the sample size increases
For sample size, n = 2
The sampling distribution will be skewed for this sample size
For sample size, n = 70
The shape of the sampling distribution for sample size of 70 will be more normal as compared to that of sample size of 2
Answer:
(a) (-12/13, 5/13)
(b) (12/13, -5/13)
(c) (-12/13, -5/13)
(d) (12/13, 5/13)
Step-by-step explanation:
(a) The terminal point is effectively reflected across the y-axis, so the sign of the x-coordinate changes. (-12/13, 5/13)
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(b) The terminal point is effectively reflected across the x-axis, so the sign of the y-coordinate changes. (12/13, -5/13)
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(c) The terminal point is effectively reflected across the origin, so the signs of both coordinates change. (-12/13, -5/13)
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(d) The terminal point is mapped to itself, so its coordinates remain unchanged. (12/13, 5/13)
