Answer:
2.6
Step-by-step explanation:
Given :
x 1 2 3 4
P(x) 0.3 0.2 ? 0.4
Σp(x) = 1
Hence, 0.3 + 0.2 +? + 0.4 = 1
0.9 +? = 1
? = 1 - 0.9
? = 0.1
For the mean :
E(X) = ΣX*P(X)
(1 * 0.3) + (2 * 0.2) + (3 *0.1) + (4* 0.4)
0.3 + 0.4 + 0.3 + 1.6 = 2.6
Hence, the mean = 2.6
Answer:
Step-by-step explanation:
Given the equation
4x+12y=72
The equation of a line can written as
y=mx+c
Where m is the slope
And c is the intercept on y axis
Then, we need to write the equation given in the form of equation of a line (y=mx+c), by making y subject of the formula
4x+12y=72
12y=-4x+72
Divide through by 12
y=-4x/12 + 72/12
y=-⅓x+6
Then, comparing with equation of a line shows that
m=-⅓ and c=6
So we need to get another linen that is perpendicular to this line and passes through the point (-9,6)
The slope of the line perpendicular to another line is given as
m1=-1/m2
Then, m1=-1÷-⅓
Then, the slope of the perpendicular line is 3
Then, m=3
So apply this to equation of the line
y=mx+c
Then, y=3x+c
So to know c, we will insert the point given(-9,6), x=-9 and y=6
y=3x+c
6=3(-9)+c
6=-27+c
Then, c=6+27
c=33
Then, the equation of line becomes
y=3x+33
Remark
First of all, we had best correct the labeling. The adjacent is the side making up the unknown angle, and the opposite is the side not making up the given angle (in this case, x)
So you have mixed up the opposite and the adjacent. You need to switch them.
Step Two (Bottom Diagram)
Sin(x) = opposite / hypotenuse
Sin(x) = 12 / 18
Sin(x) = 2/3
Sin(x) = 0.6666666666
x = sin-1(0.66666666)
x = 41.18103
Problem One (Top One)
Sin(x) = opp/hypotenuse
Sin(x) = 4/5
Sin(x) = 0.8
x = sin-1(0.8)
x = 53.13 Answer <<<<<
Answer:
(1/2), (2/4), (3/6), (4/8), (5/10) etc...
Step-by-step explanation:
0.50 is a decimal that represent a half of one...
This is already in decimal form... Do you mean fraction? If so...
(1/2), (2/4), (3/6), (4/8), (5/10) etc...
You could use the information from part A to get B. I'm not sure if you want A or not, so I'll do it as well.
A
Eo = 10^4.4 Joules
E = 2 * 10^15
Formula
M = (2/3) log (E/Eo)
M = 2/3 * log (2 * 10^15/10^(4.4) )
M = 2/3 * log( 7.9621* 10^10)
M = 2/3 * 10.901
M = 7.26735 on the Richter scale. That is a huge amount of energy.
Part B
Suppose that you use Eo and your base. Eo is 10^4.4
Now the new earthquake is E = 10000 * Eo
So what you get now is M = (2/3)* Log(10000 * Eo / Eo )
The Eo's cancel out.
M = 2/3 * log(10000)
M = 2/3 of 4
M = 8/3
M = 2.6667 difference in the Richter Scale Reading. It is still an awful lot of energy.
What this tells you is that if the original reading was (say) 6 then the 10000 times bigger reading would 8.266667
Answer: M = 2.6667
