Answer:
$32
Step-by-step explanation:
A sum of money is divided in the ratio 2:3:7.
Let the share of each individual be represented by 2x,3x,7x respectively.
The largest share (7x) is given as $112.
![\[7x = 112\]](https://tex.z-dn.net/?f=%5C%5B7x%20%3D%20112%5C%5D)
![\[=>x = \frac{112}{7}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%20%5Cfrac%7B112%7D%7B7%7D%5C%5D)
![\[=>x = 16\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%20%3D%2016%5C%5D)
So the respective shares are ![\[2\times16,3\times16,7\times16\]](https://tex.z-dn.net/?f=%5C%5B2%5Ctimes16%2C3%5Ctimes16%2C7%5Ctimes16%5C%5D)
In other words, the shares are 32,48,112.
So the smallest share is $32
Answer:
P=0.147
Step-by-step explanation:
As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2
We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.
We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) . To find the required probability 3 mentioned probabilitie have to be summarized.
So P(9/16 )= C16 9 * P(good brakes)^9*Q(bad brakes)^7
P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02
P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007
P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12
P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147
P=2.50x+100
The slope of the function is 2.50 which represents the commission Dylan makes for each computer sale. :)
