The standard normal table starts at .5 for z=0, meaning its giving us the integral of the standard gaussian from negative infinity to some positive z. We look for a table entry of 1-.08=.92 and find that at z=1.41.
We knew it was between one and two because the 68-95-99.7 rule tells us one sigma gives a probability of (100-68)/2=16% and two sigma 2.5%, and 8% is in between those.
So our lengths at the ends of the range are
5.13 - 1.41(0.04) = 5.0736
5.13 + 1.41(0.04) = 5.1864
Rounding, 5.07 to 5.19
M=43-6
m=37 thats your answer
Let us write an equations
1st pizza place costs 9.95 + x dollars, where x is the number of toppings
2nd pizza place 6.95 + 1.5 y dollars, where y is the number of toppings
We are interested when they are equal:
9.95 + x = 6.95 + 1.5y
3= 1.5y - x
As the questions asks for the same ammount of toppings, x=y
3= 1.5y - x this becames
3=0.5 x
x=6
Lets check
9.95+6=15.95
6.95+6*1.5=15.95
So the answers is 6
Answer:
assuming that there are an equal number of colored marbles in the bag and their total is 20 marbles in the bag:
C) 17/20
Step-by-step explanation: