Answer:
5
Step-by-step explanation:
The mean is the average so add up all values of the data points and divide by the amount of data points.
Answer:
a)The ratio of the odds of exposure among cases and controls equal to 5.3
Step-by-step explanation:
Correct option is:
The ratio of the odds of exposure among cases and controls equal to 5.3
Solution:
Odds for cases=0.9/0.1=9
Odds for controls=0.63/0.37=1.703
Odds ratio=9/1.703=5.3
Hence the correct option is a)The ratio of the odds of exposure among cases and controls equal to 5.3
First, find the LCM (lowest common multiple) for denominators 14 and 6:
LCM of 14 and 6= 42
Then multiply the numerators by the same number that you multiplied each denominator to achieve the LCM:
15/42 + 7/42
Now solve! (and simplify)
15/42 + 7/42= 22/42
= 11/12
Hope this helps!
Answer:
-336/527
Step-by-step explanation:
Trig identities are involved.
tan(2x) = 2tan(x)/(1 -tan(x)²)
Using tan = sin/cos, we can write this in terms of sine and cosine as ...
tan(2x) = (2sin(x)/cos(x))/(1 -sin(x)²/cos(x)²) = 2sin(x)cos(x)/(cos(x)² -sin(x)²)
= 2sin(x)cos(x)/(1 -2sin(x)²)
Now, the cosine can be found from ...
cos(x) = √(1 -sin(x)²)
for sin(θ) = 24/25, cos(θ) = √(1 -(24/25)²) = 7/25 . . . . 1st quadrant angle
Filling in the values in the above identity, we have ...
tan(2θ) = 2(24/25)(7/25)/(1 -2(24/25)²) = 336/-527
tan(2θ) = -336/527
_____
You can use a calculator or estimate that the angle for sin(θ) = 24/25 will be greater than 67.5°, so double the angle will be greater than 135°. (θ ≈ 74°) This means ...
- 2θ > 135°, so the magnitude of tan(2θ) will be less than 1
- 2θ is in the 2nd quadrant, so the sign of tan(2θ) will be negative
These observations will help you choose the correct answer without any further math.
40,619,000 = forty thousand six hundred nineteen
