Answer:
Step-by-step explanation:
Given
Jar contains 4 white and 4 black marbles
We randomly select 4 marbles out of which 2 are white and 2 are black
Probability that 2 white and 2 black marbles are selected is
The process is continue for n trails until we choose the correct order
i.e. we have to fail in n-1 trails
For exact n selection Probability is given by
Answer:
-12x + 12 = 32............................. the equation
Step-by-step explanation:
to determine the equation in this 12(1-x) = 36 expression is quite simple, you only need to open the bracket .
solution
12(1-x) = 36
12 - 12x = 32
-12x + 12 = 32............................. the equation
we can further evaluate for the value of x
-12x = 32 - 12
-12x = 20
divide both sides by the coefficient of x which is -12
-12x = 20
-12x/-12 = 20/-12
x = -1.67
The length of arc AB is 9.12 mm:
We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])
where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees
To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians
We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm
Answer:
x=15
Step-by-step explanation:
5x+19=2x+64
5x-2x=64-19
3x=45
x=15
Micheal's rate is 7 miles per 80 minutes, which can be written as a fraction:
7/80, which equals 0.0875.
Now you can say that Micheal runs 0.0875 miles per one minute.
Multiply 0.0875 by 64,
64(0.0875) = 5.6
Micheal would run 5.6 miles in 64 minutes.
