Let the height of the tree be x, then
18 inches / 3 feet 9 inches = x / 21 feet 3 inches
18 inches / 45 inches = x / 255 inches
45x = 18 x 255 = 4590
x = 4590 / 45 = 102
Therefore, the tree is 102 inches = 8 feet, 6 inches tall
The expected value of a distribution is considered as a mean, or average, for a probability distribution. It represents the center of the possible values of a variable. That doesn't necessarily mean it would be one of the possible values of x.
He would have $750 at the end of three weeks
500 + 200 = 700 700 x 2 + 1400
1400 - 650 = 750
$750 at the end of three weeks
Answer:
Check the explanation
Step-by-step explanation:
Let 
be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.
For any sequence of length 19, the starting coin can be from toss i ,
such that i is between 1 and n - 19+1
Thus the number of such sequences is
Kindly check the attached image below for the step by step explanation to the question above.
Tan=24/10 ≈ 2.4
using Pythagoras theorem
x²=(24)²+(10)²
x²=576+100
x²=57600
x=√57600 => 240
Therefore
sina=24/240 => 0.1
cota=1/tana => 1/(24/10) => 10/24
