Axiom and postulates. They are considered to be self evident.
Answer: x=11
Step-by-step explanation:
This is an isosceles triangle. It has 2 congruent sides and congruent angles. First, It is a given that an angle measure 42. Since that is the vertex angle, it not equal to the other angles. Using the converse of base angles isosceles triangle, we now the two angles at the bottom are congruent since the lines are equal so both of the bottom angles measure (5x+14). Next, Using Triangle Interior Theorem, a triangle 3 degrees adds up to 180 degrees so we set it equal to that.
42+ 5x+14+ 5x+14=180
42+10x+28=180
10x+70=180
10x=110
x=11
The mean of the discrete distribution that models this situation is of 2.98.
<h3>What is the mean of a discrete distribution?</h3>
The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.
Considering the table, the probability distribution is given by:
Hence the mean is given by:
E(X) = 4 x 0.4 + 3 x 0.32 + 2 x 0.17 + 1 x 0.08 + 0 x 0.03 = 2.98.
More can be learned about the mean of a discrete distribution at brainly.com/question/27899440
#SPJ1
Answer:
12r/t
Step-by-step explanation:
Surface area, but there is a wrinkle which we'll talk about later.
The area is front and back top and bottom left and right, six sides in all.
Left / Right
Area = 10 * 8 = 80 cm^2
2 Sides Area = 2 * 80 cm^2 = 160 cm^2
Top / Bottom
Area = 10 * 12 = 120
2 Side Area = 2 * 120 = 240 cm^2
Ends
Area = 8 * 12 cm = 96 cm^2
2 sides = 2 * 96 = 192 cm^2
Total Area
The total area of all six sides is 192 + 240 + 160 = 592 cm^2
Comment and Answer
592 cm^2 <<<< Answer
There might be a problem with overlap. Right at the edge of face the gluing of the tiles stops. Do you put on one more layer or not. I would say not. You have to be told to do that. I think the question just requires a straight forward reply. If not, write me a message.
