Answer:
Step-by-step explanation:
The three angles of a triangle always have to equal 180 in the end, so if you use the method which is the 4 in this instance, it is an obtuse angle that is equal to the top and left angle. You can add 1 and 2 to get 4, and do 4-3 to get 1+2, So, 4=1+2.
Answer:
387 contains 80 and 8 x 10 = 80
Answer:
The population would be 3358
Step-by-step explanation:
Since, exponential growth function if the growth is compound continuously,

Where,
P = initial population,
r = growth rate per period,
t = number of periods,
Given,
The population in 2000, P = 2,400,
Growth rate per year = 1.68% = 0.0168,
Number of years from 2000 to 2020, t = 20,
Thus, the population in 2020,




Answer:
a
The probability that the selected joint was judged to be defective by neither of the two inspectors is 
b
The probability that the selected joint was judged to be defective by inspector B but not by inspector A is 
Step-by-step explanation:
From the question we are told that
The sample size is 
The number of outcome for inspector A is 
The number of outcome for inspector B is 
The number of joints judged defective by both inspector is 
The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

Now

substituting values

So


the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as

Now

substituting values

So


The path of the car and the limo are straight lines.
To determine the equation of the lines of the paths, the slopes must be determined.
Let m1 = slope of car
m2 = slope of limo
so,
m1 = (7 + 7)/(5 + 2) = 2
m2 = (-5 -9)/(3+4) = -2
therefore the equations are
car:
2x – y = 2(5) –(7)
2x – y = 3
Limo:
2x + y = 2(3) – 5
2x + y = 1
Solving the intersection of the equations (using a calculator)
x = 1
y = -1