Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: number of passengers that rest or sleep during a flight.
The sample taken is n=9 passengers and the probability of success, that is finding a passenger that either rested or sept during the flight, is p=0.80.
I'll use the binomial tables to calculate each probability, these tables give the values of accumulated probability: P(X≤x)
a. P(6)= P(X=6)
To reach the value of selecting exactly 6 passengers you have to look for the probability accumulated until 6 and subtract the probability accumulated until the previous integer:
P(X=6)= P(X≤6)-P(X≤5)= 0.2618-0.0856= 0.1762
b. P(9)= P(X=9)
To know the probability of selecting exactly 9 passengers that either rested or slept you have to do the following:
P(X≤9) - P(X≤8)= 1 - 0.8657= 0.1343
c. P(X≥6)
To know what percentage of the probability distribution is above six, you have to subtract from the total probability -1- the cumulated probability until 6 but without including it:
P(X≥6)= 1 - P(X<6)= 1 - P(X≤5)= 1 - 0.0856= 0.9144
I hope it helps!
(10x + 4) + (5x-4) ≈ 180
solve for x and you get x≈12
plug 12 in to 5x-4 and you get 56
It is the first answer choice because a negative times a negative is a positive.
Answers:
Equation 1: B
Equation 2: D
Equation 3: A
Equation 4: C
*I am pretty sure are right
A pentagon is a closed 5 sided polygon.
A regular polygon has all sides equal as well as all angles equal.
°The formula to find the sum of all angles of a polygon is = (n-2) ×180
So for a pentagon, n= 5
So the sum of all the angles must be (5-2)× 180= 3 × 180 = 540.
Now as it is a pentagon, it shall have 5 vertices.
So there are 5 angles in a pentagon and all must be equal.
Hence each interior angle must be 540/5 = 108
So for a regular polygon with 5 sides must have each interior angle = 108
