Answer:
x = -3, y = -4
Step-by-step explanation:
Double the first equation to get 6x - 2y = -10
Now just add the two together and get x = -3. Plug this back in to get y = -4.
Answer: 0.444
Step-by-step explanation:
Given : Total burritos ordered = 15
Number of burritos with hot peppers =5
Number of burritos without hot peppers=10
Then the probability that the burrito has hot peppers:-
![\dfrac{5}{15}=\dfrac{1}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7B15%7D%3D%5Cdfrac%7B1%7D%7B3%7D)
Using binomial probability formula:-
![P(X)=^nC_xp^x(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%29%3D%5EnC_xp%5Ex%281-p%29%5E%7Bn-x%7D)
If you pick three burritos at random , then the probability of getting having exactly one burrito with hot peppers:-
![P(1)=^3C_1(\dfrac{1}{3})^1(\dfrac{2}{3})^{2}\\\\=(3)\dfrac{1}{3})^1(\dfrac{2}{3})^{2}=0.444444444444\approx 0.444](https://tex.z-dn.net/?f=P%281%29%3D%5E3C_1%28%5Cdfrac%7B1%7D%7B3%7D%29%5E1%28%5Cdfrac%7B2%7D%7B3%7D%29%5E%7B2%7D%5C%5C%5C%5C%3D%283%29%5Cdfrac%7B1%7D%7B3%7D%29%5E1%28%5Cdfrac%7B2%7D%7B3%7D%29%5E%7B2%7D%3D0.444444444444%5Capprox%090.444)
Hence, the required probability = 0.444
X=5! you would set the two equations equal and subtract from both sides until you were left with the answer
the answer is true because if you have 3x2 it is the same as 3xx2
Answer:
see explanation
Step-by-step explanation:
The secant- secant angle PRS is half the measure of the difference of the intercepted arcs, that is
(PD - QS) = 50 ( multiply both sides by 2 )
PD - QS = 100, that is
12x + 8 - (4x + 4) = 100
12x + 8 - 4x - 4 = 100
8x + 4 = 100 ( subtract 4 from both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus
arc PD = 12(12) + 8 = 144 + 8 = 152°
arc QS = 4(12) + 4 = 48 + 4 = 52°