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: The Perimeter of the rectangle, P= 16v −24w
Step-by-step explanation:
Perimeter of a rectangle = 2( L +W) = 2L + 2W
The width of a rectangle is given as (3v-3w) centimeters,
its length is given as (5v-9w) centimetres
The Perimeter,P will now be = 2L + 2W
P=2( 3v-3w) + 2( 5v-9w)
P=6v −6w + 10v - 18 w
adding like terms
P=6v + 10v −6w −18 w
P= 16v −24w
Answer:
Step-by-step explanation:
Given
Liam deposited 
Rate of interest is 
If the amount after t years is 
Simple interest is given by
And amount is
Substituting values we get
The scale of a drawing is the RATIO that all parts of an object are reduced or magnified by
The total number of cups of sugar needed will be given by:
Total amount=(number of bottles)×(number of cups of sugar per box)
number of bottles to be made is 5 bottles
number of cups per box is 3/4
thus the total number of cups required will be:
Total amount=3/4×5=3 3/4 cups
