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
Which one is problem number 4?
6 + 0 = 6. Which property:
This is an additive identity or identity property of addition
Answer:
3 and 4
Step-by-step explanation:
Well to start we have to know that they are asking us, a factorized form of a quadratic expression
a quadratic expression is of the form
ax ^ 2 + bx + c
Now the factored form is as follows
a ( x - x1 ) ( x - x2 )
Next, let's look at each of the options
In this case we lack a term with x since if we solve we have a linear equation
1. 5(x+9)
5x + 45
In this case if we pay attention they are being subtracted instead of multiplying, so we will not get a quadratic function
2. (x+4) - (x+6)
-2
In this case we have everything we need, now let's try to solve
3. (x-1) (x-1)
x^2 - x - x + 1
x^2 - 2x + 1 quadratic function
In this case we have everything we need, now let's try to solve
4. (x-3) (x+2)
x^2 -3x +2x -6
x^2 -x - 6 quadratic function
In this case we have a quadratic function but we do not have it in its factored form since we can observe the x ^ 2
5. x^2 + 8x
The answer is log3 k to the seventh power m to the sixth power over n to the ninth power
a * logₓ(y) = logₓ(yᵃ)
7 log₃ (k) = log₃ (k⁷)
6 log₃ (m) = log₃ (m⁶)
9 log₃ (n) = log₃ (n⁹)
7 log₃ (k) + 6 log₃ (m) - 9 log₃ (n) = log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹)
logₓ(y) + logₓ(z) = logₓ(y * z)
log₃ (k⁷) + log₃ (m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶) - log₃ (n⁹)
logₓ(y) - logₓ(z) = logₓ(y / z)
log₃ (k⁷ * m⁶) - log₃ (n⁹) = log₃ (k⁷ * m⁶ / n⁹)
