Answer:
a) 0.0255
b) 0.7050
c) 0.2945
Step-by-step explanation:
Probability that one of those sampled saying that Roosevelt was the best president since World War II = 330/2062 = 0.16
Probability that one of those sampled don't mention Roosevelt = (2062 - 330)/2062 = 1732/2062 = 0.84
a) The probability that both adults picked say Franklin Roosevelt was the best president since World War II = (330/2062) × (329/2061) = 0.0255
b) The probability that neither of the two adults say Franklin Roosevelt was the best president since World War II = (1732/2062) × (1731/2061) = 0.7050
c) The probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = Probability that one of the two adults mention Roosevelt + Probability that the two adults mention Roosevelt
Probability that one of the adults mention Roosevelt = [(330/2062) × (1732/2061)] + [(1732/2062) × (330/2061)] = 0.269
Probability that two of the adults mention Roosevelt has been done in (a) and it is equal to 0.0255
probability that at least one of the two adults says Franklin Roosevelt was the best president since World War II = 0.269 + 0.0255 = 0.2945
Answer:
30
Step-by-step explanation:
40
x 0.75
-----------
= 30
Answer:
Janis, Carl, Catherine
Step-by-step explanation:
janis=1.666
carl=1.7
catherine=2.333
Answer: A. As x → ∞, f(x) → ∞, and as x → –∞, f(x) → ∞.
<span>3down votefavorite1Find minimum and maximum value of function <span>f(x,y)=3x+4y+|x−y|</span> on circle<span>{(x,y):<span>x2</span>+<span>y2</span>=1}</span>I used polar coordinate system. So I have <span>x=cost</span> and <span>y=sint</span> where <span>t∈[0,2π)</span>.Then i exploited definition of absolute function and i got:<span>h(t)=<span>{<span><span>4cost+3sintt∈[0,<span>π4</span>]∪[<span>54</span>π,2π)</span><span>2cost+5sintt∈(<span>π4</span>,<span>54</span>π)</span></span></span></span>Hence i received following critical points (earlier i computed first derivative):<span>cost=±<span>45</span>∨cost=±<span>2<span>√29</span></span></span>Then i computed second derivative and after all i received that in <span>(<span>2<span>√29</span></span>,<span>5<span>√29</span></span>)</span> is maximum equal <span>√29</span> and in <span>(−<span>45</span>,−<span>35</span>)</span> is minimum equal <span>−<span>235</span></span><span>
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