Find the difference in temperature between each 1000 feet:
From 1 to 2: 30 - 23.5 = 6.5
From 2 to 3: 23.5 - 17 = 6.5
From 3 to 4: 17 - 10.5 = 6.5
The temperature change is constant as it drops 6.5 degrees for every 1000 foot gain in elevation.
At 5,000 feet the temperature would be : 10.5 - 6.5 = 4
At 6,000 feet: 4 - 6.5 = -2.5
At 7,000 feet: -2.5 - 6.5 = -9
At 8,000 feet: -9 - 6.5 = -15.5
At 8,000 feet the temperature would be -15.5 degrees.
9 and 1/2 is a mixed number
This is a binomial probability situation, since a dog either is adopted or is not adopted. The chances of a dog's being adopted in 0.20. Here we're speaking of 9 visits. Thus, n=9, p=0.20.
One way of doing this problem is to calculate the probability that ONE dog will be adopted, and then that that TWO dogs will be adopted, and so on, up to NINE dogs. Add together these nine probabilities to get your answer.
But a better (faster) approach would be to calculate the probability that ZERO dogs will be adopted, and then to subtract this from 1.000.
Using my TI-84Plus calculator, I figured that P(0 dogs will be adopted) is binompdf(9,0.20,0), or 0.134. Subtracting this from 1.000, we get 0.866 (answer to this problem).
Answer:
D
Step-by-step explanation:
((p^4*q)/p^8)^2.
p^4/p^8=p^(4-8)=p^-4=1/p^4
(q/p^4)^2=(q^2/p^8)