Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
Answer:0.03
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given
inclination is 
Mountain is
high
Cable is tied
from the base of the mountain
From the figure, length of the shortest path is 
It is given by using Pythagoras theorem

Short answer 34/13Start by converting both to improper fractions.
8 1/2 = (2*8 + 1)/2 = 17/2
3 1/4 = (3*4 + 1)/4 = 13/4
Next set up a 4 layer fraction

Invert the lower fraction and multiply

Cancel the 2 and the 4 leaving you with a 2 in the numerator.
I don't know what the graft is