intersecting circles have two common tangents
Answer:
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
Step-by-step explanation:
We know:
-A normal distribution
-Mean μ = 69.0 in
-Standard deviation σ = 2.8 in
- Population n = 350
And doors height 72 in
If passengers will pass through the door without bending that means he must be under 72 in tall, therefore we are looking for the probability of men under 72 in, to find such probability we compute the value of Z according to
Z = ( X - μ ) / σ ⇒ Z = ( 72 - 69 ) / 2.8
Z = 1.07
Now with this value we look the Z tables, to find a value of: 0.8577
So the probability of select a men and that he can fit through the door is
P ( Z < 72 ) = 0.8577 or P ( Z < 72 ) = 85.77 %
The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.
We have given that the shape of a
cylinder Container A has a diameter of 30 feet and a height of 18 feet.
diameter =30 feet and height =18 feet
Therefore

What is the formula for volume of cylinder ?

For cylinder A,


Similarly for cylinder B,
h=19
radius

volume of cylinder B

After pumping all of Cylinder A into Cylinder B there will remain empty space in B

The percentage this empty space is,
of the entire volume is

which is 26.12 % when rounded to the nearest tenth.
Therefore,
The percentage this empty space is of the entire volume is 26.12 % when rounded to the nearest tenth.
To learn more about the volume of cylinder visit:
brainly.com/question/9554871
.
Answer:
80+50P
Step-by-step explanation:
80 is fixed
50 is variable
1 device = 130
2 decices = 180
Answer:
13: $53
14: 16
Step-by-step explanation:
13: 189-136=53
14: 80 divided by 5= 16