Answer:
0.9973
Step-by-step explanation:
Given :
Probability of girl, probability of success , 1 - p = 1 - 0.519 = 0.481
1 - p = 0.481
n = 9
Probability that atleast one is girl
Usingbthe binomial probability distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
USing the binomial probability calculator :
p(x ≥ 1) = p(x=1) + p(x=2) + p(x=3) + p(x=4) + p(x=5) + p(x=6) + p(x=7) + p(x=8) + p(x=9)
p(x ≥ 1) = 0.9973 ( from calculator).
Answer:
Step-by-step explanation:
Given
--- The radius of each
Required
The area between them
See attachment for illustration of the question. (figure 1)
First, calculate the height of the equilateral triangle formed by the 3 radii (See figure 2)
Using Pythagoras theorem, we have:
Collect like terms
Take square roots
Expand
Split
Now, the area of the equilateral triangle can be calculated using:
Where
Next, is to calculate the area of the sector formed by 2 radii in each circle (figure 3).
Since the radii formed an equilateral triangle, then the central angle will be 60. So:
For the three circles, the area is:
Subtract the areas of the sectors (A2) from the area of the equilateral triangle (A1), to get the area between them.
Approximate
Um. Could you finish the question
Answer:
Step-by-step explanation:
Step 1) Replace y = f(x)
Step 2) Exchange x and y
Step 3) Solve for y
Subtracting both sides by -5
Dividing both sides by 2
Step 4) Replace