Answer:
.101501615
.84982392
.901244701
Step-by-step explanation:
For this question use a binomial distribtuion
a.
12C3*.44³*(1-.44)⁹= .101501615
b.
to find at least 4 find the probability of less than 4 and take its compliment
12C0*(1-.44)¹²+12C1*.44*(1-.44)¹¹+12C2*.44²*(1-.44)¹⁰+12C3*.44³*(1-.44)⁹= .15017608
1-.15017608=.84982392
c.
To find less than eight's probability find the proability of at least 8 and take its compliment
12C8*.44⁸(1-.44)⁴+12C9*.44⁹(1-.44)³+12C10*.44¹⁰(1-.44)²+12C11*.44¹¹*(1-.44)+12C12*.44¹²= .098755299
1-.098755299= .901244701
So let’s make the smaller number x and the larger one y....
Set up your equation by following the words signaling mathematical operations from the question.
y = 8 + 4x
y + 4x = 40
Now let’s bring all variables to one side and solve the system if equations with elimination...
y - 4x = 8
y + 4x = 40
Add the equations:
2y = 48
y = 24
Plug the y-value into one of the original equations:
24 = 8 + 4x
16 = 4x
4x = 16
x = 4
And there you have it! The smaller number [x] is 4 and the larger number [y] is 24.
Answer: A. 6.14 ft is the closes answer
(WORK SHOWN BELOW)
It is a positive slope and the slope is positive 2/3, to find the slope you do rise/run between two point, for example, to go from (2,-5) to (5,-3) you go up 2 squares and run 3 squares, making ur slope 2/3
Answer:
Step-by-step explanation: d