15 students/45 tacos=? students/450 tacos
15 x 450=6750
6750/45=150
Gary would be making 450 tacos for 150 students
The expected cost of producing 500 products is $14300
<u>Explanation:</u>
Given:
Cost of products = $32
Cost of repair = $15
Probability of no defective pens = 80%
Probability of defective pens = 20%
Cost of 500 products = ?
Number of defective products = ![\frac{20}{100} X 500](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B100%7D%20X%20500)
n = 100
Number of good products = ![\frac{80}{100} X 500](https://tex.z-dn.net/?f=%5Cfrac%7B80%7D%7B100%7D%20X%20500)
n(good) = 400
Cost of production of good products = 400 X $32
= $12800
Cost of defective pens = 100 X $15
= $1500
Expected cost of producing 500 products = $12800 + $1500
= $14300
Therefore, the expected cost of producing 500 products is $14300
Answer:
5 7/8
Step-by-step explanation:
She needs the sum of all those days to equal 22 miles. The easiest thing to do is to convert those mixed fractions to improper, then use the LCD to get rid of all the fractions altogether.
Those improper fractions are:
![\frac{19}{4}+\frac{41}{8}+\frac{25}{4}+x=22](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B4%7D%2B%5Cfrac%7B41%7D%7B8%7D%2B%5Cfrac%7B25%7D%7B4%7D%2Bx%3D22)
with x being the number of miles she has to run on Friday, the unknown we are solving for.
The LCD of those denominators is 8, so we will multiply every single term by 8 to get rid of the fractions, leaving us with:
38 + 41 + 50 + 8x = 176 and
129 + 8x = 176 so
8x = 47 and
x = 47/8 which is
5 7/8 in mixed form
X is the opposite side of the 30 degrees angle and 12 is the adjacent side. Utilizing trigonometry functions, recall that tan(angle)=opposite/adjacent. Thus, tan(30)=x/12. x=tan(30)*12
tan30=
![\frac{ \sqrt{3} }{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20)
Thus x=
![12 \times \frac{ \sqrt{3} }{3}](https://tex.z-dn.net/?f=12%20%5Ctimes%20%20%5Cfrac%7B%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20)
or equivalently