In a 2-way frequency table, you take the row entry and divide it by its row total to get a decimal.
For your example:
It starts out like this:
sunny snowy
Male: 17 11
Female: 15 16
Add the rows up.
sunny snowy total
Male: 17 11 28
Female: 15 16 31
Then divide the number the by the total:
sunny snowy total
Male: 17/28 11/28 28
Female: 15/31 16/31 31
Yours says to round to the 1000th place, so it ends up like:
sunny snowy
Male: .607 .393
Female: .484 .515
Hope that helps!!
Answer:
x=3
Step-by-step explanation:
hope this helps
(-5, 12). Cosecant is the reciprocal of sine. Since csc theta =13/12, sin theta=12/13. We can narrow down to two angles, one in first quadrant and one in second quadrant. We are also given sec theta=-13/5, so cos theta=-5/13. Thus the angle is in the second quadrant. tan theta=1/cot theta=-12/5, so point (-5, 12) is on the ray.
The answer is 8.25 years
The exponential function can be expressed as:
A = P * e^(kt)
A - the final amount
P - the current amount
k - the rate
t - time in years
If the final amount is the half of its current amount, then:
A = P/2
So,
A = P * e^(kt)
P/2 = P * e^(kt)
Divide P from both sides:
1/2 = e^(kt)
Logarithm both sides with natural logarithm:
ln(1/2) = ln(e^(kt))
ln(0.5) = kt * ln(e)
k = -0.084
-0.693 = -0.084 * t * 1
-0.693 = -0.084t
t = -0.693 / -0.084
t = 8.25 years
The first equation is given to determine A.
cos A = 2/5
A = cos⁻¹(2/5) = 66.42°
Now that we know A, we use this value to the second equation.
4 + 4tan²A = 4 +24.996 4tan²(66.42°) = 24.996 ≈ <em>25</em>
