Answer:
a
Step-by-step explanation:
Domain means the change in x.
so the domain will be which values of x the fn goes through.
you can see the black line goes from -9 to 2 in x values.
the -9 isn't filled in, but the 2 is. filled in means it will be with an equals instead of without.
so x is between -9 and 2, 2 is with equals -9 is without,
so the first one.
Answer:
2*2*2*3*3*7
Step-by-step explanation:
prime facotrization = 2^3 x 3^2 x 7^1
2 x 2 x 2 x 3 x 3 x 7 = 504
Answer:
0.362
Step-by-step explanation:
When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:
- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.
- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14
- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7
- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.
Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability
P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362
The formula for the amount of a monthly payment A on principal amount P at interest rate i loaned for t years is given by
... A = P(i/12)/(1 -(1 +i/12)^(-12t))
Filling in the given values, this is
... A = $204000(.05/12)/(1 -(1 +.05/12)^(-12·20)) ≈ $1346.31
Answer:
(–ꝏ, –4] U [1, 2] or D
Step-by-step explanation:
Answer for edgenuity
