So the mean is 72.97
We need to subtract the mean from each value and square it.
(65-72.97)^2= 63.5209
(68-72.97)^2=24.7009
(69-72.97)^2=15.7609
(70-72.97)^2=8.8209
(71-72.97)^2= 3.8809
(72-72.97)^2=0.9409
(90-72.97)^2=290.0209
(95-72.97)^2=485.3209
Now we add up the new values ( also consider their frequency) and find their mean.
Add the values
63.5209+(2 •24.7009=49.4018)+(5•15.7609=78.8045)+(8•8.8209=70.5672)+(7•3.8809=27.1663)+(3•0.9409=2.8227)+(2•290.0209=580.0418)+(2•485.3209=970.6418)= 1,842.967
Divide by total numburs to find the mean
1,842.967/ 30=61.43223333
The standar deviation is the square root of the mean so is
Square root of 61.43223333=7.837871735
Round to the nearest tenth
Standard Deviation is 7.8
So if the bag contains half as many red marbles as blue ones, and there are 8 reds then there are 16 blues. 16 + 8= 24 if you want there to be 1/4 white marbles add 6. 6/30 is 1/4.
So the answer comes out to be 30 marbles in the bag
Answer:
A = ...-5π ,-4π ,-3π, -2π, -π, 0, π, 2π, 3π, 4π, 5π....
A = {x ∈ N, πx}
Answer:
from that passage AB+BD=AD ; -4x+50+2x+4=2x+46 so -2x+54=2x+46 ; x=2.
AC=AB+BC ; AB=-4x+50=-4(2)+50=42
the total lengths is AD=2x+46=50
Therefore AC is more than 42 and less than 50 ; you can answer b,c,g
