Answer:
the approximate probability that the total weight of the passengers exceeds 4668 pounds is 0.0089
Step-by-step explanation:
Using the central limit Theorem
z = (x - u )/Q÷ sqrt n
Where z is the z-score
x is the average weight = 4668/22 = 212.2
u is the passengers average = 194 pounds
Q is standard deviation = 36 pounds
Therefore
z= (212.2 - 194) / 36 ÷ sqrt22
= 18.2/ 36÷ 4.69
= 18.2/7.68
z=2.3698 aprx 2.37
Find the value of 2.37 z-score on the z-table to determine the approximate probability
P(z>2.37) = 0.0089 (from the z-table)
Answer:
Step-by-step explanation:
adjacent x = 18
8(18) + 9 = 144 + 9 = 153
8x + 9 + 27 = 180
8x + 36 = 180
8x = 144
x = 18
The simplified answer is 4/5
Answer:
3,4,5 are congruent angles
Step-by-step explanation:
Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.

Solution:
Given expression:

To solve the given expression:
First simplify: 

Cancel the common factor (w + 5).

Now substitute this in the given expression.

Multiply the fractions 

Factor the denominator 
Cancel the common factor 2(w – 5).

Factor the numerator 

Cancel the common factor (w – 2).

