YAYAYAY okay thanks!!!
We have this sum
4^1 + 4^2 + 4^3 + 4^4 + 4^5 =
4 + 16 + 64 + 256 + 1024 =
1364
Correct !!!!
P(A l B) = P (A and B) / P(B) = .05 / .2 = 0.25
Since
P(A l B) = P(A).....these events are independent
First box ⇒ independent
Second box ⇒ P (A l B ) = P(A)
We have 5 numbers divisible by 2 = 2, 4, 6, 8, 10
We have 2 numbers divisible by 5 = 5,10
So....the number of outcomes =
5 * 2 =
10
I think the answer is D but I am not 100% sure.
If you ad up the dotted reginos like the guest said then
25+12.5+12.5=50%
Ohhh so it's 50%
A.
The majority of the data is to the left of the mean.
A little tricky
The probabilty is
[ area of red square - area of blue square ] / area of red square =
[ 196 - 64 ] / [ 196 ] =
132 / 196 =
0.6732 =
0.67
Just add - up the dotted regions.
We have replacement here....so....
P(purple on 1st draw) = 3/10
P(orange ball on 2nd draw) = 2/10
So...
(3/10) (2/10) = 6/100 = 3 / 100
P(drawing a black card 1st) = 6/12 = 1/2
P(drawing a red card second) = 6/11
So....the probability is
(1/2) (6/11) = 6 / 22 = 3 / 11
P(drive l male ) = .36/.75 = .48
P(drive) = .48
Second box ⇒ =
Mathematica 11 Home edition gives the following solutions, but NO explanation as to the method they used.
Sorry about that:
x = 0, y = -0.5, z = 0.0497871, w = -2 x = 0, y = -0.5, z = 0.0497871, w = 2
If the iameter of the circle is 6 inches, then the radius is 3 in
So...the area of the circle is pi*(3)^2 = 9 pi in^2
The area of the board is 48 *24 = 1152 in^2
So.....the probabililty that the circle is hit is:
9pi/1152 ≈ 0.0245 = 2.45 %
Actually, I think the answer SHOULD be a waveLENGTH. A PERIOD is a measure of TIME, not DISTANCE.....but ...given the choices......
Thanks, JGA
Calculate the AREA of the CIRCLE
Calculate the AREA of the BOARD
Geometric probability = Area of circle / Area of board
Nice explanation, but didn't you answer your own question?
Guests to the rescue!
Happy B-day! Thanks for all the help!
Multiply top and bottom by -2i
(-5+ i )/ 2i * -2i/-2i = -10i - 2i^2 / -4i^2 = ( 2 - 10 i ) / 4 = ( 1-5i) / 2
(NOTE: You COULD have just multiplied top and bottom by -i to get same result )
As per guest, divide both sides of the equation by two to get :
x^2 - 8x + 16 = 0 factor (or use quadratic formula)
(x-4)(x-4) = 0
so x = 4 and 4 (or just 4)
26% = 26/100 = 13/50
The first one is a parabola....the second is a line....so there COULD be TWO solutions....or ONE ...or none.
Re arrange second equation y = x+2 and sub it into FIRST equation
x+2 = x^2 + 5x-3 simplify
x^2 - 4x -5 = 0
(x-5)(x+1) = 0 so x = 5 and - 1
sub these values into SECOND equation to find the corresponding 'y'
5,7 and -1,1
