There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.
After putting back the first marble, the probability of drawing another red is again 5/11.
So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.
A circle is characterized by radius, arc, sectors and circumference
- The length of the major arc is
- The radius of the circle is 15
- The area of the shaded sector is
<h3>Length of the major arc</h3>
The given parameters are:
--- the circumference
-- the center angle
The length of the major arc is calculated using:
So, we have:
Evaluate
Hence, the length of the major arc is
<h3>The radius of the circle</h3>
The circumference is given as:
So, we have:
Divide through by 2pi
Hence, the radius of the circle is 15
<h3>The area of the shaded sector</h3>
The area of a sector is:
So, we have:
Evaluate
Hence, the area of the shaded sector is
Read more about circumference at:
brainly.com/question/15673093
I believe there are ten. One, two, three, five, seven, eleven, thirteen, seventeen, nineteen, and twenty-three.
Answer:
x = 11/10
Step-by-step explanation:
we have from statement:
-1=1 - 4(-5+4x) – 4x
we apply distributive property:
-1 = 1 -4*(-5) -4*(4x) -4x
so we have:
-1= 1+20 -16x -4x
-1 = 21 -20x
-22=-20x
so we have:
x=22/20
x=11/10
we can substitute the x value found:
-1 = 1 - 4(-5+4*(11/10)) – 4*(11/10)
-1 = 1+20 -17.6 -4.4
-1 =21 -22
so we have:
-1 = -1
