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stich3 [128]
3 years ago
5

You have just shipped 26 reels of electrical wire. Each reel has 20,000 feet of wire. The price of the wire is $0.05 per foot. W

hat is the total value of the shipped wire?
Mathematics
2 answers:
deff fn [24]3 years ago
8 0
If you multiply 26 by 20,000 you would get 520,000 feet in total. Then if you multiply that by $0.05 then you get $26,000. Therefore that is the cost of the 26 reels of electrical wire that were shipped.
viktelen [127]3 years ago
4 0
20,000(.05) = 1000
so 1 reel of 20,000 feet cost 1,000
26 reels were shipped so multiply 26*1000
26000
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The prostate-specific antigen (PSA) test is a simple blood test to screen for prostate cancer. It has been used in men over 50 as a routine part of a physical exam, with levels above 4 ng/mL indicating possible prostate cancer. The test result is not always correct, sometimes indicating prostate cancer when it is not present and often missing prostate cancer that is present. Suppose that these are the approximate conditional probabilities of a positive (above 4 ng/ml) and negative test result given cancer is present or absent.

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Cancer Present                   0.21                                       0.79

Cancer Absent                    0.06                                      0.94

In a large study of prostate cancer screening, it was found that about 6.6% of the population has prostate cancer.

What is the probability that the test is positive for a randomly chosen person from this population? (Enter your answer to five decimal places.)

P(Positive test) =

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P(Positive Result) = 0.0699

Step-by-step explanation:

We are given that 6.6% of the population has prostate cancer. So,

P(Cancer Present) = 0.066

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From the given conditional probability table, we have:

P(Positive Result | Cancer Present) = 0.21

P(Positive Result | Cancer Absent) = 0.06

We need to find the probability that the result is positive. It can be either that the result is positive and cancer is present or the result is positive and the cancer is absent. So,

P(Positive Result) = P(Positive Result∩Cancer Present) + P(Positive Result∩Cancer Absent)

                             = P(Positive Result | Cancer Present)*P(Cancer Present) + P(Positive Result | Cancer Absent)*P(Cancer Absent)

                             = (0.21)*(0.066) + (0.06)*(0.934)

                             = 0.01386 + 0.05604

P(Positive Result) = 0.0699

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3 years ago
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