<span>P(1 claim) = p/4
P(2 claims) = (p/4)/4 = p/16
You should see that the distribution follows a geometric series with common ratio 1/4.
Sum geometric = (first term) / (1 - common ratio) = p/(1 - 1/4) = 4p/3
But the sum of all the probabilites must equal 1 ----> 4p/3 = 1 ----> p = 3/4
P(2 or more claims) = 1 - P(0 claims) - P(1 claim) = 1 - 3/4 - 3/16 = 1/16</span>
Answer:
The linear speed is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
therefore
The linear speed is
Hey there! :)
Answer:
(5, -2), or x = 5 and y = -2.
Step-by-step explanation:
We can solve the two equations algebraically by eliminating a variable:
2x + 5y = 0
3x - 4y = 23
Eliminate the x variable by finding the least common multiple and multiplying both equations:
3(2x + 5y = 0)
2(3x - 4y = 23)
Distribute and subtract the bottom equation from the top:
6x + 15y = 0
6x - 8y = 46
------------------
0x + 23y = -46
23y = -46
y = -2.
Plug in y into an equation to solve for x:
2x + 5(-2) = 0
2x - 10 = 0
2x = 10
x = 5. Therefore:
The solution to this equation is (5, -2), or x = 5 and y = -2.
