Answer: The first outcome shall be 0.33 or 33%.
The second outcome would be 0.5 or 50%
Step-by-step explanation: The bag contains exactly one yellow, one red and one green marble. So when he draws the first marble the sample space shall be the total possible outcomes, which is three, since he has three (3) marbles altogether. When he draws the first time without looking, all three marbles have an equal probability of being picked which can be derived thus;
P(Red) = Number of required possibilities/Number of all possibilities
P(Red) = 1/3
P(Red) = 0.33
Note that there is only one marble of each color which means P(Yellow) and P(Green) is also 0.33 respectively.
After choosing the first marble, without replacing the first one he now chooses another marble. The sample size would have reduced to 2 (since one marble has been drawn). Hence, the outcome when he draw a second marble can be calculated as follows;
P(Red) = Number of required outcomes/Number of possible outcomes
P(Red) = 1/2
P(Red) = 0.5
The answer is 2x^2 to the question
Answer:
186 cm²
Step-by-step explanation:
<em>*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.</em>
<em>*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.</em>
<u>Left rectangle:</u>
A = lh
A = 12 (8)
A = 96 cm²
<u>Right rectangle:</u>
A = lh
A = 10 (9)
A = 90 cm²
<u>Total:</u>
A = 90 + 96
A = 186 cm²
Answer:
Givens
- The cost of the square windows is 3 euros per meter, and 12 euros for the crystal.
<h3>If a window has 2 meters side, how much would it cost? (A)</h3>
Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.
Specifically, the function of the cost is: 
, where 
represents meters of sides. (C)
<h3>If we paid 60 euros, the dimensions are (B)</h3>
The window has 16 meters between the four sides, which gives 5 meters per side.
The graph of the function is attached.
Answer:
(6 + x)(6 + x) = (6 + x)²
Step-by-step explanation:
Given
36 + 12x + x²
Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (+ 12)
The factors are + 6 and + 6, since
6 × 6 = 36 and 6 + 6 = 12, thus
36 + 12x + x² = (6 + x)(6 + x) = (6 + x)²
