Answer:
1.) (2,1) is a solution
2.) (4,3) is NOT a solution
Step-by-step explanation:
1.) (2,1)
These are these mean (x,y)
2=x and 1=y
You want to substitute the numbers for the letters in the equation.
so.
2(2)+1=5
4+1=5
5=5, This statement is true so (2,1) is a solution.
2.) Same as above. 4=x and 3=y
4(4)-3(3)=10
16-9=10
7 Does Not Equal 10, Therefore, (4,3) is Not a solution to the equation.
Answer:
x^2 +y^2
Step-by-step explanation:
Dude this is Pythragorean Theorem =)).
You may have missed this part of your lesson. It's ok and also not ok at the same time beacause pythagorean theorem is a meme.
Ok I'll explain once =)).
Thousands of years ago, a mathematician named Pythagore found out that if we have 3 squares, with one square's area equals to the sum of two other squares, then when we put the sides of the squares together to form a triangle , it'll always be a right triangle ( a triangle with one of its angle is 90°). A square area is measured by the length of its side multipled by itself. So he came up with the statement : In a right triangle, the length of the hypotenuse( the side that does not connect to the right angle) is equalled to the sum of squared other sides.
EG.
In this triangle, the right angle is ^ACB. If length of BC is <em>a</em><em>,</em><em> </em>length of AB is <em>c</em>, length of BC is <em>a</em>
A
I We have a formula :
I \ <em>a</em>^2 + <em>b</em>^2 = <em>c</em>^2
I \
I \
I <em>b</em> \ <em>c</em>
I \
I \
I______\
C <em> a </em> B
So now you can use pythagorean theorem to show off =)).
HOPE YOU LEARN WITH JOY AND HIGH GRADES !!!
Answer:
a: 105.2 < µ < 112.8
b: 104.872 < µ < 113.128
c: 105.841 < µ < 112.159
d: No, because n < 30
Step-by-step explanation:
For a - c, see attached photos for work. There are 2 formulas to use. The steps for constructing any confidence interval are the same, you will just use different numbers in the formula depending on what data is given to you.
d: With large sample sizes, the data often resembles normally distributed data, so we can still construct confidence intervals from the data.
An irrational number like pi
Answer:
For the cost from the two methods to be equal, 3,200 books have to be produced
Step-by-step explanation:
In this question, we are asked to calculate the number of books that will be produced for two methods of production having different fixed and variable costs to have the same production cost.
Since the number of books is something we do not know, let’s represent it with a variable called c.
For the first production method, the cost of production will be ; 58,881 + 8.50c
For the second production method, the cost of production will be; 18,081 + 21.25c
Now since they are said to be equal, we proceed to equate both;
58,881 + 8.5c = 18,081 + 21.25c
58,881-18,081 = 21.25c - 8.5c
40,800 = 12.75c
c = 40,800/12.75
c = 3,200 books
