Answer:
P ( 1.2 < X < 2.1 ) = 0.3
Step-by-step explanation:
Given:
Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)
f(x) = 1 / (b - a)
Where a < x < b is the domain at which function is defined:
f(x) = 1 / (3) = 1 / 3
Where, X - U ( u , δ )
u = ( a + b ) / 2 = (0 +3) / 2 = 1.5
δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866
Hence,
X - U ( 1.5 , 0.866 )
There-fore calculating P ( 1.2 < X < 2.1 ):
Where, a = 1.2 and b = 2.1
P ( 1.2 < X < 2.1 ) = x / 3 |
P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3
Answer: P ( 1.2 < X < 2.1 ) = 0.3
Answer:
5.6 = AB
Step-by-step explanation:
Since this is a right triangle, we can use trig functions to find the length of AB
Cos theta = opp side/ hypotenuse
cos 62 = AB / BC
cos 62 = AB /12
Multiply each side by 12
12 cos 62 = AB
5.633658753 = AB
Rounding to 1 decimal place
5.6 = AB
We can also find AC
sin theta = opp side/ hypotenuse
sin 62 = AC / BC
sin 62 = AC /12
Multiply each side by 12
12 sin 62 = AC
10.59537111 = AC
Rounding to 1 decimal place
10.6 = AC
Answer:
4x+4
Step-by-step explanation:
Combine like terms:
3x+x= 4x
Add remaining terms (+4)
4x+4
That would be the second choice. Translation of 2 to the left
Answer:
y = -3x + 18
Step-by-step explanation:
The slope intercept form of a line is expressed as y = mx+c
m is the slope
b is the intercept
Get the slope
Given the equation of a line 9x + 3y = 6
Rewrite
3y = -9x + 6
y = -9x/3 + 6/3
y = -3x + 2
Hence the slope of the line is -3
Get the y-intercept
Substitute m = -3 and (5,3) into y = mx+b
3 = -3(5) + b
3 = -15 + b
3 + 15 = b
18 = b
b = 18
Get the required equation
y = mx+b
y = -3x + 18
This gives the required equation
