The standard deviation is lower for each group than it is for the groups combined.
Hey there!
All of the given angles of a triangle will always add up to 180 degrees. Therefore, our angle measures are 100, 40, and 40. There are 3 types of triangle classifications based on angles.
Acute: all three angles are less than 90 degrees.
Right: one angle is 90 degrees.
Obtuse: has an angle that is greater than 90 degrees.
As you can see, we have one angle that is greater than 90, which is 100.
Therefore, this is an obtuse triangle.
I hope this helps!
The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive.
So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation
Focus on the revenue equation
R = 7.5n
which is the same as
R = 7.50*n
This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue
As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n
So that's why the answer is $7.50
Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect.
The only safe conclusion is that point G lies on line FH or that point G lies somewhere between line FH. We cannot conclude that point G is the midpoint of line FH eventhough by virtue of definition of midpoint, the given equation is a proof equation. If G were to be midpoint, segment FG must be equal to segment GH in line FH.
Answer:
Step-by-step explanation:
If the smallest number is 'x', then the other number = x +1
x*(x+1)= 420
Use distributive property
x*x + x*1 = 420
x² + x - 420 =0 ------> this is the required quadratic equation.
