Answer:
the corresponding point is (5,-4)
Step-by-step explanation:
x+3=8 <=> x =8-3=5
so f(5+3)=f(8)=-4
so the corresponding point is (5,-4)
Answer:
25/2985984
Step-by-step explanation:
12^4*30^8*125^2/(128^4*625^3*27^6)
(2^2*3)^4*(2*3*5)^8*(5^3)^2/(2^7)^4*(5^4)^3*(3^3)^6)
(2^8*3^4*2^8*3^8*5^8*5^6)/(2^28*5^12*3^18)
2^(8+8-28)*3^(4+8-18)*5^(8+6-12)
2^-12*3^-6*5^2
25/(2^12*3^6)
25/2985984
Answer:
x = -3
Step-by-step explanation:
5(x-8) = -55
Divide each side by 5
5/5 (x-8) = -55/5
x-8 = -11
Add 8 to each side
x-8+8 = -11 +8
x = -3
Answer:
0.09
Step-by-step explanation:
Given :
P(bike) = 0.8
P(car) = 0.2
P(Late given car) = P(Late | car) = 0.05
P(Late given bike) = p(Late | bike) = 0.1
Probability that professor is late :
P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]
P(late) = [0.05 * 0.2] + [0.1 * 0.8]
P(late) = 0.01 + 0.08
P(late) = 0.09