Answer:
(-4,2)
Step-by-step explanation:
Answer:
6 donuts
Step-by-step explanation:
first divide the cost of the donuts by the amount of donuts per box
6 donuts:
2.10 ÷ 6 = .35 per donut
12 donuts
5.40 ÷ 12 = .45 per donut
18 donuts
7.20 ÷ 18 = .40 per donut
24 donuts
12 ÷ 24 = .50 per donut
Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
Answer:
otterbox costs $95; beats costs $210
Step-by-step explanation:
x = otterbox y = beats
4x + 2y = 800 y = 2x + 20
4x + 2(2x + 20) = 800
4x + 4x +40 = 800
8x + 40 = 800
8x = 800 - 40
8x = 760
x = 760 / 8
x = 95 Otterbox costs $95 each
4x + 2y = 800
4(95) + 2y = 800
380 + 2y = 800
2y = 800 - 380
2y = 420
y = 420 / 2
y = 210 Beats costs $210
4(95) + 2(210) = 800
380 + 420 = 800
Sin230=sin(180+50)=sin180cos50+cos180sin50=-sin50 answer 1
