Answer:
Sample space is 
Step-by-step explanation:
Number of security doors = 3
Let P denote a successful pass and F denote a failed pass.
Sample space refers to a set of all possible outcomes.
If the first attempt to pass through a door is a failure, then the outcome is F.
If the second attempt to pass through a door is a failure, then the outcome is PF.
If the third attempt to pass through a door is a failure, then the outcome is PPF.
If the fourth attempt to pass through a door is a failure, then the outcome is PPP.
Sample space is
Answer:
<h2>The standard deviation is 2.6076809621.</h2>
Step-by-step explanation:
The set of values are 2, 4, 7, 8, 9.
The mean of these values are 
.
The mean of the squares of the differences of these numbers and the mean is 
.
In order to get the value of the standard deviation, we need to square-root the value of 6.8.
Hence, the standard deviation of the data set is 
≅2.6076809621.
Answer:
160 cm
Step-by-step explanation:
y=6.5(13)+75.5
y=160 cm
Or about 5.2ft
Its a polyhedron its has 25 faces
Answer:
t=2
Step-by-step explanation:
The slope is given by
m = (y2-y1)/(x2-x1)
We have points (3,10) and (5,t) and the slope is -4
Substituting these in
-4 = (t-10)/ (5-3)
Simplifying
-4 = (t-10) / 2
Multiply by 2 on both sides
-4 = (t-10) / 2 *2
-8 = t-10
Add 10 on both sides
-8+10 = t-10+10
2 = t
