Answer:
a)
b) 


And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25
Step-by-step explanation:
Let's define first some notation
H= represent a head for the coin tossed
T= represent tails for the coin tossed
We are going to toss a coin 2 times so then the size of the sample size is 
a. What is the sample space for this chance experiment?
The sampling space on this case is given by:
b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.
The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:



And we have the following table:
X | 0 | 1 | 2
P(X) | 0.25 | 0.5 | 0.25
Answer:
103 degrees
Step-by-step explanation:
A line equals 180 degrees which means the 77 degrees plus the other angle should equal 180 degrees. You can just do 180-77 and get your answer which is 103 degrees.
Answer:
......
Step-by-step explanation:
Length of diagonal of the rectangle=
√( length) ²+( breadth) ²
=√(20) ²+(12) ²
=√400+144
√544 m
. '. Length of fence= √544 m
Perimeter of the triangle formed by the diagonal of the rectangle =(12+20+√544)
=(32+√544) m
Answer:
idk if this is right but i think its just 91
Step-by-step explanation:
Answer:

Step-by-step explanation:
We are given the equation

We want to solve for x, therefore we must isolate x on one side of the equation.
14 is being added to 3x. The inverse of addition is subtraction. Subtract 14 from both sides of the equation.



x is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.



Let's check our solution. Plug 7 in for x and solve.




This checks out, so we know our solution, <u>x=7 </u>is correct.