Answer:
Step-by-step explanation:
Let's use the addition/elimination method to solve this. If we multiply the first equation through by -1 we can eliminate the x terms. Doing that gives us:
-x + 3y = 3
x + 3y = 9
The x's subtract each other away leaving us with
6y = 12 so
y = 2.
Now we will plug in 2 for y in either of the original equations to solve for x:
x + 3(2) = 9 and
x + 6 = 9 so
x = 3
The coordinate for the solution is (3, 2) or x = 3, y = 2
The second choice down is the one you want.
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
Answer:
The 2nd table.
Step-by-step explanation:
It is the only one that makes sense.
Please mark me brainliest I need it!!!!
Answer:
0= x
Step-by-step explanation:
8= 8 + 4x +5x
Combine like terms
8 = 8+9x
Subtract 8 from each side
8-8 =8+9x-8
0 = 9x
Divide by 9
0/9 = 9x/9
0= x
Answer:
1
Step-by-step explanation:
As per circle theorem rule, ∠GDE is twice than ∠GFE
10x +94 = 2 × (x+51)
10x + 94 = 2x + 102
8x = 8
x = 1
∠GDE= 10x+94° = 104°
∠GFE= x + 51° = 52°
