Answer: We can expect about 40.13% of bottles to have a volume less than 32 oz.
Step-by-step explanation:
Given : The volumes of soda in quart soda bottles can be described by a Normal model with
Let X be the random variable that represents the volume of a randomly selected bottle.
z-score :
For x = 32 oz
The probability of bottles have a volume less than 32 oz is given by :-
[Using standard normal table]
In percent,
Hence, we can expect about 40.13% of bottles to have a volume less than 32 oz.
The larger triangle ABC is similar to the smaller triangles as follows.
Triangle ABC ~ triangle DBA by AA similarity because they share angle B and angles A and D are right angles.
Triangle ABC ~ triangle DAC by AA similarity because they share angle C and angles A and D are right angles.
So you can set up the following proportions, seeing that the answers are involving either AC^2 or AB^2.
AB/BD = BC/AB When you cross multiply, you get AB^2 = BC times BD, which is the first answer listed.
Using the other proportion, AC/CD = BC/AC, when you cross multiply, you get AC^2 = BC times CD, which is not one of the answers listed.