Answer:
the answer is x=1/2
Step-by-step explanation:
hope this helps if not let me know have a blessed day
Answer:
(a) what is the sample space for this chance process?
If we toss a coin three times then there are total
outcomes
The sample space associated with the given chance process is:
![S= \left \{ HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\right \}](https://tex.z-dn.net/?f=S%3D%20%5Cleft%20%5C%7B%20HHH%2CHHT%2CHTH%2CHTT%2CTHH%2CTHT%2CTTH%2CTTT%5Cright%20%5C%7D)
(b) what is the assignment of probabilities to outcomes in this sample space?
Since the given sample space has eight outcomes and we know that a fair coin is tosses three times. Therefore, the probability of all the events mentioned in the given sample space is same. Hence we have:
![Probability = \frac{1}{8}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B1%7D%7B8%7D)
Answer:
The set of coefficients asociated with the given polynomial in ascending order is
.
Step-by-step explanation:
Let
, which is a polynomic function, defined as:
(1)
Where:
- i-th Coefficient.
- i-th Power.
- Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:
![y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}](https://tex.z-dn.net/?f=y%20%3D%204%20%2B%200%5Ccdot%20x%20%2B%205%5Csqrt%7B3%7D%5Ccdot%20x%5E%7B2%7D)
Then, the set of coefficients asociated with the given polynomial in ascending order is:
![[C] = \{4,0,5\sqrt{3}\}](https://tex.z-dn.net/?f=%5BC%5D%20%3D%20%5C%7B4%2C0%2C5%5Csqrt%7B3%7D%5C%7D)
Answer:
The area is equal to ![8\ units^{2}](https://tex.z-dn.net/?f=8%5C%20units%5E%7B2%7D)
Step-by-step explanation:
we have
A(0, 0), B(2, -2), C(0, -4), D(-2, -2)
Plot the figure
The figure is a square (remember that a regular polygon has equal sides and equal internal angles)
see the attached figure
The area of the square is
![A=AB^{2}](https://tex.z-dn.net/?f=A%3DAB%5E%7B2%7D)
<u><em>Find the distance AB</em></u>
the formula to calculate the distance between two points is equal to
substitute the values
<u><em>Find the area of the square</em></u>
![A=(2\sqrt{2})^{2}](https://tex.z-dn.net/?f=A%3D%282%5Csqrt%7B2%7D%29%5E%7B2%7D)
![A=8\ units^{2}](https://tex.z-dn.net/?f=A%3D8%5C%20units%5E%7B2%7D)
Answer:
1. x = 12
2. x = 5
Step-by-step explanation:
1. -222 = -2x - 12x - 54
-222 = -14x - 54
-168 = -14x
x = 12
2. 154 = 2x + 12x + 84
154 = 14x + 84
70 = 14x
x = 5