The equation of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius.
To find the radius, we would find the square root of 144, which is 12.
r=12
:)
Answer:
45 !!
Step-by-step explanation:
Anne = 5x
Dawn= 3x
Amount = 120
5x + 3x = 120
8x = 120
x= 120/8 = 15
Anne = 5x = 15 x 5 = 75
Dawn= 3x = 15 x 3 = 45
I hope im right!!
The answer is 75
First you subtract 180 and 165 to find that smallest angle inside the triangle(15). Then you add 15 and 90,the two angles you know, and do 180 - 105= 75.
The trick is that all angles inside a triangle equal 180 degrees. Hope this helps!
Answer:
-4.67
Step-by-step explanation:
first find f^-1(x)
let f(x)=y
y=3x+2
3x=y-2
x=y-2/3
Therefore f^-1(x)=x-2/3
Now f^-1(-12)=-12-2/3
=-14/3
=-4.67
Answer:
a. 16.41%
b. 68.57%
Step-by-step explanation:
We have that the poisson formula is as follows:
P (x = x) = (e ^ l) * (l ^ x) / x!
In this case l = 5.3
a. 4 exactly therefore x = 4, replacing:
P (x = 4) = (e ^ 5.3) * (5.3 ^ 4) / 4!
P (x = 4) = 0.1641
That is, the probability is 16.41%
b. between 2 and 6 complaints.
P (2 <= x <= 6) = P (x = 2) + P (x = 3) + P (x = 4) + P (x = 5) + P (x = 6)
replacing:
P (2 <= x <= 6) = (e ^ 5.3) * (5.3 ^ 2) / 2! + (e ^ 5.3) * (5.3 ^ 3) / 3! + (e ^ 5.3) * (5.3 ^ 4) / 4! + (e ^ 5.3) * (5.3 ^ 5) / 5! + (e ^ 5.3) * (5.3 ^ 6) / 6!
P (2 <= x <= 6) = 0.6857
In other words, the probability is 68.57%