Answer:
D. 0.1353
B. 0.0473
Step-by-step explanation:
For an exponentially distributed random variable, the cumulative distribution function is:

with parameter λ=2, then P(X≥1) is equal to:

D. 0.1353
with parameter λ=1.5, then P(2≤X≤4) is equal to
B. 0.0473
Patterns can be used to determine products of a number of a power of 10 by following it to obtain easily the answer. When you multiply a number by the power of 10 you just have to write the number then add the number of corresponding number of 0s to the end which will be the same number as the power used.
Hope this helped : )
Answer:
= {2, 4, 10}
Step-by-step explanation:
A set is a collection of objects called elements. These element are refered to as members of the set.
Set A contains all integers from 1 to 10 inclusive;
A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A subset of a given set implies that every element of the subset are also elements of the given set. Set B is a subset of A;
B = {1, 3, 5, 6, 7, 8, 9}
Complement of a given set refers to elements not in the general set. Set C is the complement of B;
= {2, 4, 10}
Answer:
The value of mHLK will be "(204)°".
Step-by-step explanation:
The given values are:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
mHLK = ?
Now,
By using chord-chord formula of angle, we get

On putting the values in the above formula, we get
⇒ 
On applying cross-multiplication, we get
⇒ 
⇒ 
On subtracting "18x" from both sides, we get
⇒ 
⇒ 
On adding "2" both sides, we get
⇒ 
⇒ 
⇒ 
⇒ 
On putting the value of "x" in mHLK = (15x-36)°, we get
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
So that mHLK = (204)°
Answer: The box would have 99% of its volume taken up.
Step-by-step explanation: The box has dimensions as follows;
Length = 6 inches
Width = 5 inches
Height = 10 inches
Therefore the volume of the box shall become
Volume = L x W x H
Volume = 6 x 5 x 10
Volume = 300 cubic inches
Also a 3 inch cube would have its volume given as follows (
Volume = 3 x 3 x 3 (All sides of a cube has equal lengths)
Volume = 27 cubic inches
To find out how many of 3-inch cubes can fit in, divide 300 by 27 and that equals 11.11.
Hence you can have at most 11 cubes in the box. The total volume of 11 cubes is given as 11 x 27 which equals 297. Therefore, the percentage of the box taken up completely by the cubes is given as;
Percentage = (Volume of cubes/Volume of box) x 100
Percentage = (297/300) x 100
Percentage = 99
Therefore the box would have 99% of its volume taken up by the cubes.