Answer:
25% probability that all three residents will choose the same plumbe
Step-by-step explanation:
For each resident, there are only two possible outcomes. Either they choose the first plumbe, or they choose the second. The plumbers are chosen independent of each other. So we use the binomial probability distribution to solve this question.
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 combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Each resident randomly chooses one of the two plumbers.
This means that 
Three residents:
This means that 
What is the probability that all three residents will choose the same plumb
This is P(X = 0)(all choose the second pumble) or P(X = 3)(all choose the first pumble). So

25% probability that all three residents will choose the same plumbe
Answer:
$82 sundaes
$74 banana split
Step-by-step explanation:
Step one :
Given data
Cost of sundaes =$2 each
Cost of banana split =$3 each
Let the number of sundaes bought be x
And the number of banana split bought be y
The total is x+y
The shop sold 8 more Sundaes than the Banana split
x=8+y—-------1
Total amount made = $156
Therefore the system of equation for the situation is
x=8+y----—----------1
2x+3y=156---------2
But x=8+y
8+y+y=156
8+2y=156
2y=156-8
2y=148
Divide both sides by 2
y=148/2
y=74
On That day they sold $74 banana split
And also they sold x=8+74=$82 sundaes
Answer:
6037.2 pounds of bamboo shoots does the female panda eat.
Step-by-step explanation:
Total pandas = 3
Total bamboo shoots eaten = 18112 pounds
Let baby panda eats bamboo = x
Male panda eats bamboo= 3x
Female panda eats bamboo = 2x
So, the equation will become

Now solving the equation to find value of x

The value of x we get : x=3018.6
So, baby panda eats bamboo shoots = 3018.6 pounds
Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds
Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds
So, 6037.2 pounds of bamboo shoots does the female panda eat.
Answer:
an = a+4n-4
Step-by-step explanation:
1. Move the negative sign to the left.
- 
*-50
2. Use this rule: 

=
-
3. Simplify - 
4. Move the negative sign to the left.
-(-950x/8)
5. Simplify 950x/8 to 475x/4
6. Remove parentheses.