Answer:
See explanation
Step-by-step explanation:
Let x be the number of simple arrangements and y be the number of grand arrangements.
1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so
![x\ge 2y](https://tex.z-dn.net/?f=x%5Cge%202y)
2. A florist can make a grand arrangement in 18 minutes
hour, then he can make y arrangements in
hours.
A florist can make a simple arrangement in 10 minutes
hour, so he can make x arrangements in
hours.
The florist can work only 40 hours per week, then
![\dfrac{3}{10}y+\dfrac{1}{6}x\le 40](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B10%7Dy%2B%5Cdfrac%7B1%7D%7B6%7Dx%5Cle%2040)
3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.
The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.
Total profit: $(10x+25y)
Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines
and ![\dfrac{3}{10}y+\dfrac{1}{6}x=40](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B10%7Dy%2B%5Cdfrac%7B1%7D%7B6%7Dx%3D40)
But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is
![\$(10\cdot 126+25\cdot 63)=\$2,835](https://tex.z-dn.net/?f=%5C%24%2810%5Ccdot%20126%2B25%5Ccdot%2063%29%3D%5C%242%2C835)
Answer:122 inches or 10 feet and 2 inches
Step-by-step explanation:
One foot is 12 inces so you just convert the feet to inches and add them together.
Answer: 0.1340
Step-by-step explanation:
The binomial distribution formula is given by :-
, where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.
Given : The number of employees over 50 years of age =7
The probability of employees over 50 years of age = ![\dfrac{7}{7+15}=0.318](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B7%2B15%7D%3D0.318)
Number of dismissed employees : n= 9
Now, the required probability will be :
![P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340](https://tex.z-dn.net/?f=P%28x%20%3D1%29%3D%5E%7B9%7DC_1%280.318%29%5E%7B1%7D%281-0.318%29%5E%7B9-1%7D%5C%5C%5C%5C%3D%289%29%280.318%29%281-0.318%29%5E%7B8%7D%3D0.133950588714%5Capprox0.1340)
Thus, the probability that exactly 1 employee was over 50 = 0.1340
Answer:
multiply 500 by .30
you can also divide 500 by 10, then multiply the new number by 3
Step-by-step explanation:
Hope this helps
Answer:
No
Step-by-step explanation:
There are no factors to make the drawing biased.