Answer:




Step-by-step explanation:
Required
Find n, x, p and q
n always represent the population surveyed;
So:

x represents the sample from the population
So:

p always represents the given proportion

Solving for q




Answer:

Step-by-step explanation:
Curved surface area=
where R is radius and H is height
Since H=6R then curved surface area=
Therefore,
and making R the subject

Therefore, H=6R=6*3.000604=18.00362 m

Therefore, 
How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are located in the right place.
SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.
ASA where the S (side) is common to both the two given angles.
SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.
In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.
If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.
You can also use the two sides making up the right angle but that is a special case of SAS.
Answer
There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.
Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.
Answer:
y = -3.84.
Step-by-step explanation:
(0.4y - 3)/(1.5y + 9) = -7/5
Cross multiply:
2y - 15 = -10.5y - 63
12.5y = -48
y = -3.84
Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it
Step-by-step explanation:
The question in english is:
A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?
We know 1 gallon is equal to 3.78 liters:

In addition, we are told you have filled the gallon with
at a rate of
.
So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the
to the total amount of a gallon:
This is the amount you need to complete the gallon
On the other hand, the rate is defined as:

Isolating
:

Then, if we input the
we need to fill the gallon we will have the time:

This is the time you need to fill the gallon