Answer:
The probability that the diagnosis is correct is 0.95249.
Step-by-step explanation:
We are given that the American Diabetes Association estimates that 8.3% of people in the United States have diabetes.
Suppose that a medical lab has developed a simple diagnostic test for diabetes that is 98% accurate for people who have the disease and 95% accurate for people who do not have it.
Let the probability that people in the United States have diabetes = P(D) = 0.083.
So, the probability that people in the United States do not have diabetes = P(D') = 1 - P(D) = 1 - 0.083 = 0.917
Also, let A = <u><em>event that the diagnostic test is accurate</em></u>
So, the probability that a simple diagnostic test for diabetes is accurate for people who have the disease = P(A/D) = 0.98
And the probability that a simple diagnostic test for diabetes is accurate for people who do not have the disease = P(A/D') = 0.95
<u>Now, the probability that the diagnosis is correct is given by; </u>
Probability = P(D) 
P(A/D) + P(D') P(A/D')
= (0.083 0.98) + (0.917 0.95)
= 0.08134 + 0.87115
= 0.95249
Hence, the probability that the diagnosis is correct is 0.95249.
Answer:
15.68×1.1 = 17.248 so if we see then it has 5 sig figs
The cage will drop 18.84m for each single rotation of the drum.
It is given that the diameter of the mine winch, d= 6 m.
We can calculate that how far the cage will drop for each single rotation of the drum by using the formula of the circumference.
Circumference, c = 2πr
where,
r = d/2 (radius of the mine winch)
r = 6/2
⇒ r = 3m
Circumference, c = 2πr
⇒ c = 2π×(3)
⇒ c = 6π
⇒ c = 18.84m
Hence, the cage will drop 18.84m for each single rotation of the drum.
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Answer:
5 cups of flour.
Step-by-step explanation:
she needs 2 times the amount of sugar as she does flour. (or half as much flour as sugar) 2.5 C of flour times 2 is 5 C of sugar.. so if she needs 10 C of sugar divided by 2 is 5C of flour.
1.) 2.5×?=5
2.)5÷2.5=2.....?=2
3.)10C sugar÷2=5C flour
9514 1404 393
Answer:
13
Step-by-step explanation:
Let n represent that number.
(2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator
6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)
12 +6n = 25 +5n . . . . . . . . . eliminate parentheses
n = 13 . . . . . . . . . . . subtract 5n+12
Adding 13 to each term will give 5/6.
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<em>Check</em>
(2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6
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<em>Alternate solution</em>
The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.
