Answer:
-5.44
Step-by-step explanation:
multiply add negative sign
Answer:
1. x=0
2. m=5
3. x=8
4. x=-8
5. x=49
6. x=-133
Step-by-step explanation:
1. 9x=0
2. -20=-4m, 20=4m
3. 2x=16
4. x/8=-1, x=-1x8
5. x/7=7
6. After simplifying: −1/19(x)=7
Hope this helped, I just simplified all the steps for the step by step explanation. Have a great day and stay safe, happy, and healthy!
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
In order to determine if the events are independent or not we need to find the conditional probabilities.
The conditional probability of event A, given event B is denoted as P(A|B)

P(A*B) indicates P(A and B)
Using the values, we get:

Since P(A|B) is not equal to P(A) this indicates that occurrence of event B has an impact on the occurrence of event A. This shows that the two events are dependent.
Therefore, the correct option is the second one.2. A and B are not independent events because P(A∣∣B)≠P(A)
A quater one half of the cions are dimes grandpa has an equal amount of nickels and pennies