Answer:
the measure of ∠1 is 92 degrees
Step-by-step explanation:
In this question, let us first note down all the important information's that have been provided in the question.
The number of people that Adam is cooking for = 14
Amount of turkey required per person = 3/4 pounds
Now
Total amount of turkey required by Adam to cook for 14 people = (3/4) * 14
= 21/2
So 21/2 pound of turkey is required by Adam to cook for 14 people. This weight of turkey has to be converted to gram first and then to kilogram.
We already know
1 lb = 450 g
Then
21/2 lb = 450 * (21/2) gram
= 225 * 21
= 4721 gram
Now again we know
1000 g = 1 kg
4721 gm = (4721/1000) kg
= 4.721 kg
So Adam needs to have a turkey weighing 4.721 gram to cook for the 14 people. I hope the procedure is clear to you.
Answer:
The probability that a randomly selected person gets incorrect result is 2.2 × 10⁻⁴
Step-by-step explanation:
The parameters given are;
The accuracy of the test for a person who has the respiratory synctial virus = 97%
The accuracy of the test for a person who does not have the respiratory synctial virus = 99%
We have;
a = TP =
b = FP
c = FN
d = TN
a/(a + c) = 0.97
d/(d + b) = 0.99
a/(a + b) = 0.97*0.0055/(0.97*0.0055 + (1 - 0.99)*(1-0.0055))
PPV = 0.349 = 34.9%
Therefore, we have;
a/(a + c) = 0.97 and
a/(a + b) = 0.349
0.97(a + c) =0.349(a + b)
(0.97 - 0.349)a = 0.349·b - 0.97·c
a = (0.349·b - 0.97·c)0.621
b × (1 - 0.0055) = (1 - 0.97)×(1 - 0.0055)
b = 1 - 0.97 = 0.03
Similarly,
c = 1 - 0.99 = 0.01
The proportion of the population that have false positive and false negative = 0.03 + 0.01 = 0.04 = 4%
The probability that a randomly selected person gets incorrect result = 0.04×0.0055 = 0.00022.
Answer:
12.56 yd^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
V = pi (2)^2 (1)
V = pi (4)
Let pi = 3.14
V = 3.14 (4)
V =12.56
