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vitfil
6 days ago
15

An art collector paid $7,000 for two paintings, a portrait and a landscape, at the same auction. Each painting cost $3,500.

Mathematics
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Gerry has 50 sports trading cards. Of those cards one fifth of them are baseball cards, one teenth of them are football cards, a
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Gerry has 25 more basketball cards than he does baseball cards. Step-by-step explanation: Gerry owns a total of 50 sports trading cards. Among these, one-fifth are baseball cards, meaning he has 10 baseball cards. One-tenth of his collection consists of football cards, so he has 5 football cards. The remainder are basketball cards, leading to the conclusion that he has 35 basketball cards. The difference in quantity between his basketball and baseball cards is 25.
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A business manager who needs to make many phone calls has estimated that when she calls a client, the probability that she will
Svet_ta [12734]

Answer:

a.  0.68 or 68%

b. 0.08 or 8%

c. 0.32 or 32%

Step-by-step explanation:

The probability of contacting the client on the first call is 60%

The likelihood of reaching the client on the second call is 20%

a. The chance of the manager successfully connecting with her client within two calls is the sum of the chances for one or two calls:

P(X\leq2) = P(X=1) +P(X=2)\\P(X\leq2) = 0.60+(1-0.60)*0.2\\P(X\leq2) = 0.68 = 68\%

b. The probability that the manager connects during the second call but not the first is:

P(X=2) = (1-0.6)*0.2 =0.08 = 8\%

c. The probability that the manager fails to connect in two consecutive calls (requiring more calls) is P(X>2):

P(X>2) = 1-P(X\leq2) = 1-0.68\\P(X>2) = 0.32 = 32\%

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3 months ago
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