Answer:
x is about 5.67
Step-by-step explanation:
Steps:
Divide each side by three:
17x = 3 → x = 5.67
∠KMN = (1/2)*arc KN . . . . . . this relationship is true of any inscribed angle. (It is a useful relationship to remember.)
= 95°/2
= 47.5°
Answer:
The probability of testing positive for one is 0.20.
The probability of testing negative for one sample is (1-0.2)=0.8.
We only save time when all five are negative, which has a probability of 0.8^5=0.32768.
This means that the expected number of tests is
combined sample tests negative = 1 with probability 0.32768
combined sample tests positive = 1+5 retests = 6 with probability 0.67232
Expected number of tests
=Σ nipi / n
=(1*0.32768+6*0.67232)/5 [divide by 5 because we tested 5 samples]
= 0.87232 < 1
So yes, there is a saving.
Note: In practice, all medical tests are not absolute, i.e. they give false-positives(α) and false-negatives (β). The ratios 1-α and 1-β are respectively measures of specificity and sensitivity.
These two parameters complicate the simplistic evaluation above.
Answer:
Choice B) experimental probability is larger
Step-by-step explanation:
There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5
When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65
Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.
Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.