Answer:
-$2.63
Step-by-step explanation:
Calculation for the expected profit for one spin of the roulette wheel with this bet
Based on the information given you bet $50 on 00 while the standard roulette has 38 possible outcomes which means that the probability or likelihood of getting 00 will be 1/38.
Therefore when we get an 00, we would get the amount of $1,750 with a probability of 1/38 and in a situation where were we get something other than 00 this means we would lose $50 with a probability of 37/38.
Now let find the Expected profit using this formula
Expected profit = sum(probability*value) -sum(probability*value)
Let plug in the formula
Expected profit =($1,750 * 1/38) - ($50 * 37/38)
Expected profit=($1,750*0.026315)-($50×0.973684)
Expected profit= 46.05 - 48.68
Expected profit = - $2.63
Therefore the expected profit for one spin of the roulette wheel with this bet will be -$2.63
Answer:
<h3>162.5 cm²</h3><h3>
Step-by-step explanation:</h3>
Area of a triangle = (BH)/2
Base= 25
Height=13
(25×13)/2= 162.5 cm²
Area = 36 = length*width
Then, while the area is constant the product length*width is constant.
Length and area are inversely related.
That means that to keep the same product (area), length vary in inverse proportion to width.
If you increase length, widht has to decrease to satisfy this relation:
width = 36/length
Of course, you can also say: length = 36 / width.
Part A: Explain why the x-coordinates of the points where the graphs of
the equations y = 4-x and y = 2x + 3 intersect are the solutions of the
equation
4-x = 2x + 3.
Because the point where the graphs intersect is a point that meets both rules (functions) y = 4 - x and y = 2x + 3 meaning that y from y = 4 - x equals y from 2x + 3 and also both x have the same value.
Part B: Make tables to find the solution to 4-x = 2x + 3. Take the integer values of x between -3 and 3.
x values 4 -x 2x + 3
-3 4-(-3)=7 2(-3)+3 =-3
-2 4-(-2)=6 2(-2)+3 =-1
-1 4-(-1)=5 2(-1)+3 = 1
0 4-0=4 2(0)+3 = 3
1 4-1=3 2(1)+3=5
2 4-2=2 2(2)+3 = 7
3 4-3=1 2(3)+3 = 9
The the solution is between x = 0 and x =1
Part C: How can you solve the equation 4-x = 2x + 3 graphically?
Draw in a same graph both functions y= 4 - x and y = 2x +3.
Then read the x-coordinates of the intersection point. That is the solution.
Answer:
32.40cm²
Step-by-step explanation:
Given the parallelogram ABCD ;
side AB is always Parallel to CD, hence ;
AB = CD = 7.2cm
Perpendicular from C on AB is the height of the parallelogram = 4.5cm
Area of a parallelogram : base * height
Area of a parallelogram = length base * height
Area of a parallelogram = 7.2 cm * 4.5cm
Area of parallelogram = 32.40cm²
