The symbol ₁₂P₉ represents the permutations of 9 quantities out of 12.
By definition,

From the calculator,
12! = 479,001,600
3! = 6
Therefore
₁₂P₉ = 479001600/6 = 79,833,600
Answer: 79,833,600
Answer:
n=601
Step-by-step explanation:
Formula used:

Solution:

Where,

As there is no previous estimate for p
Then, p=0.5
Here on using the table

Also,
E=0.04
p=0.5
Thus,
n=600.2279407
On approximating the value,
n=601
Answer:
Step-by-step explanation:
Answer:
(x-1)²+(y-3.5)² = 265/4
Step-by-step explanation:
first find the midpoint (center of the circle)
(9+-7)/2, (2+5)/2
(1, 3.5) = center
then distance formula to find diameter
√(9- -7)²+(2-5)²=√256+9 = √265
The radius is half the diameter = (√265)/2
Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center
Now you can plug everything in.
(x-1)²+(y-3.5)² = 265/4
9514 1404 393
Answer:
False
Step-by-step explanation:
f(-2) = (1/2)(-2) -3 = -1 -3 = -4
g(-2) = -2(-2) +2 = 4 +2 = 6
The function values are not the same at x=-2, so the graphs do not intersect there.
__
The graphs intersect at x=2.