Answer: 0.0241
Step-by-step explanation:
This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:
P(X=r) = nCr × p^r × q^n-r
Where:
n = number of sampled variable which in this case = 21
r = variable outcome being determined which in this case = 5
p = probability of success of the variable which in this case = 0.31
q= 1- p = 1 - 0.31 = 0.69
P(X=5) = 21C5 × 0.31^5 × 0.69^16
P(X=5) = 0.0241
On 6/25 divide 6 by 25=.24 and 2 3/4= 2.75 you have 2 and then 3/4=.75
For a better understanding of the solution provided here, please find the diagram attached.
In the diagram, ABCD is the room.
AC is the diagonal whose length is 18.79 inches.
The length of wall AB is 17 inches.
From the given information, we have to determine the length of the BC, which is depicted a 
, because for the room to be a square, the length of the wall AB must be equal to the length of the wall BC.
In order to determine the length of the wall BC, or , we will have to employ the Pythagoras' Theorem here. Thus:
Thus, 
inches
and hence, the given room is not a square.
Sorry it took me so long, the correct answer is B.
Answer:
8x + 4 - z
Step-by-step explanation:
Given the following :
The distance from her house to school is 2x+5 The distance from the school to the park is z If the total distance she was that day is 10x +9 how far is it from the park back to her
Distance from house to school = 2x + 5
Distance from school to park = z
Total distance covered = 10x + 9
Distance from park to house =?
Total distance = (distance from house to school + distance from school to park + distance from park to house)
Let p = distance from park to house
10x + 9 = (2x + 5 + z + p)
10x + 9 - 2x - 5 - z = p
8x + 4 - z
