Answer: 0.6kg of flour will be in each batch of scones.
Step-by-step explanation:
Adam has 16.45 kg of flour, and he used 6.4kg to make hot cross buns. This means that the remaining flour would be the total amount of flour that he had initially minus the the amount that he used to make hot cross buns. This is expressed as
16.5 - 6.4 = 10.05 kg
The remaining flour is exactly enough to make 15 batches of scones. This means that 10.05 kg of flour will be enough to make 15 batches of scones.
We want to determine how much flour, in kg, will be in each batch of scones. Let this amount of flour be xkg
If 10.05 kg of flour will be used to make 15 batches of scones. Then,
xkg of flour will be used to make 1 batch if stones
x = 10.05/15
x = 0.67
Answer:
3. x=16
4. x=51
Step-by-step explanation:
3. 3x-8=x+24
2x=32
x=16
4. 2/3(x+27)= 180-(3x-25)
2/3x+18=180-3x+25
11/3x=187
11x=561
x=51
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
