Answer:
6
Step-by-step explanation:
Label them as variables
A, B, and C
Now try and list them
ABC
ACB
BAC
BCA
CAB
CBA
There should be 6
The more mathematical way is using factorials
So you would do 3! which is 3*2*1
This also gives you 6
Answer: Supplementary angles have a sum of 180 degrees so you would subtract 79 from 180 to determine the value of its supplement which would be 101 degrees
While complementary angles have a sum of 80 degrees. So you would subtract 59 from 80 and that leaves you with 21, so the complement angle is equal to 21 degrees
Step-by-step explanation:
Answer:
The minimum sample size is 
Step-by-step explanation:
From the question we are told that
The confidence interval is 
The margin of error is 
Generally the sample proportion can be mathematically evaluated as



Given that the confidence level is 98% then the level of significance can be mathematically evaluated as



Next we obtain the critical value of
from the normal distribution table
The value is

Generally the minimum sample size is evaluated as
![n =[ \frac { Z_{\frac{\alpha }{2} }}{E} ]^2 * \r p (1- \r p )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%20%5Cr%20p%20%281-%20%5Cr%20p%20%29)
![n =[ \frac { 2.33}{0.1} ]^2 * 0.475(1- 0.475 )](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%5Cfrac%20%7B%202.33%7D%7B0.1%7D%20%5D%5E2%20%2A%20%200.475%281-%200.475%20%29)

Given, the density of a particular brand of gasoline = 0.737 g/ml.
13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.
First we will convert 13.4 gallon to ml.
We know that 1 gallon = 3.78541 litre
And 1 litre = 1000 ml
So we can write 1 gallon =
= 3785.41 ml.
13.4 gallon =
ml = 50724.494 ml.
Let's take there is x grams of gasoline
We know that density = (mass/ volume) = 
So we can write,

To find x we will multiply both sides by 50724.494. we will get,



So we have got the required answer.
Mass of gasoline = 37383.95 grams.