Answer:
The answer is "300".
Step-by-step explanation:
Please find the complete solution in the attached file.
A line parallel to y = 2/3 x - 5 will have a slope of 2/3.
The equation of a line passing through (-6, -1) with a slope of 2/3 is
y - (-1) = 2/3 (x - (-6))
Define three events A,B,C such that
A = first card is a face card
B = second card is a face card (assuming event A happens)
C = third card is a face card (assuming events A & B happen)
No replacements are made
There are 3 face cards (J, K, Q) per suit. There are 4 suits. In total, there are 3*4 = 12 face cards out of 52 total
P(A) = probability that event A happens
P(A) = 12/52
P(A) = 3/13
After event A happens, we have 12-1 = 11 face cards out of 52-1 = 51 total
P(B) = 11/51
After B happens, we have 11-1 = 10 face cards out of 51-1 = 50 left over
P(C) = 10/50
P(C) = 1/5
Based on how the events A,B,C are set up, we can form this equation
P(A and B and C) = P(A)*P(B)*P(C)
P(A and B and C) = (3/13)*(11/51)*(1/5)
P(A and B and C) = 11/1105
P(A and B and C) = 0.00995475113122
Rounded to the nearest tenth, the answer is simply 0.0 which is a lousy answer in my opinion because it implies that the answer is truly 0 instead of something really small. Though to be fair, the result is very close to 0. A much better approach is to round to the nearest hundredth to get 0.01; though I would ask your teacher for clarification and guidance.
note: a probability of 0 means that the event is impossible to happen, yet it is not impossible to pull out three face cards in a row. Is it unlikely? Yes. Because the result is roughly 0.00995 which is a really small decimal close to 0. But it's not 0 itself.
1) BMI calculation
Subject A B C
Age 57 30 18
Gender Male Male Male
heigth 70 in 72 in 68
70 * 2.54 = 177.8cm 72*2.54=182.88cm 68*2.54=172.72 cm
weight 165 lb 190 lb 185 lb
165/2.2046=74.8kg 190/2.2046=86.2kg 185/2.2046=83.9kg
BMI 74.8*10,000 86.2*10,000 83.9*10,000
----------------- = 23.7 ----------------- = 25.8 ----------------- = 28.1
(177.8)^2 (182.88)^2 (172.72)^2
2) Weight status
Subject A: 18.5 ≤ 23.7 ≤ 24.9 => Considered Ideal
Subject B: 20.5 ≤ 25.8 ≤ 29.9 => Considered Overweight
Subject C: 20.5 ≤ 28.1 ≤ 29.9 => Considered Obese
Ideal weight range
Inequality
w * 10,000 18.5*h^2 24.9*h^2
18.5 ≤ --------------- ≤ 24.9 => ------------- ≤ w ≤ -------------
h^2 10,000 10,000
Subject A: h = 177.8 cm =>
18.5*(177.8)^2 24.9*(177.8)^2
------------------- ≤ w ≤ ---------------------
10,000 10,000
58.5 kg ≤ w ≤ 78.7
Subject B: h = 182.88 cm
18.5*(182.88)^2 24.9*(182.88)^2
------------------- ≤ w ≤ ------------------------
10,000 10,000
61.9 kg ≤ w ≤ 83.3
Subject C:
18.5*(172.72)^2 24.9*(172.72)^2
--------------------- ≤ w ≤ ---------------------
10,000 10,000
55.2 kg ≤ w ≤ 74.3 kg
3) Is BMI an appropiate measure of health?
Pros:
* it is quick and easy to calculate, so it provides a prompt measure.
Cons:
* It is not accurate.
* It leaves out specific conditions of the person: genetic and fitness.
I like that it provides a standardization to compare the status of different persons based on an objective measure, but you need to include other factors: age, gender, build, fat %, activities performed, among others. So, I am in favor of using it only like a factor but you need to use other additional measures.
B find the valuaes of t suxh
