Answer:
There is an 84.97% probability that at least six wear glasses.
Step-by-step explanation:
For each adult over 50, there are only two possible outcomes. Either they wear glasses, or they do not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
What is the probability that at least six wear glasses?
There is an 84.97% probability that at least six wear glasses.
Answer:
Y=2x+4
Step-by-step explanation:
2x-y=-4
subtract 2x
-y=-2x-4
divide by -1
y=2x+4
Answer:
y < −
6 ?
Step-by-step explanation:
Its a straight line on graph so it's linear
So the equations are:
y= 3x + 3
y= x- 1
By the transitive property, we know x-1= 3x+3 (Transitive property means if a= b, and b= c, shouldn't a = c if they both equal b?)
so, x- 1= 3x + 3. Now we isolate x and solve:
+1 +1
x= 3x+ 4
-x -x
0 = 2x+ 4
-4 -4
-4 = 2x
/2 /2
x= -2
Now, you can plug that back in to find y:
y = x- 1
y= -2 -1
y= -3
Then plug them both in to make sure it is correct. :o)
Answer:
(x, y) = (6, -9)
Step-by-step explanation:
Add the two equations to eliminate the y-variable:
(3x +5y) +(-7x -5y) = (-27) +(3)
-4x = -24 . . . simplify
x = 6 . . . . . . divide by -4
Substitute this value of x into the first equation and solve for y:
3(6) +5y = -27
5y = -45 . . . . . . . subtract 18
y = -9 . . . . . . . . . divide by 5
The solution to this system of equations is (x, y) = (6, -9).
