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
B.
7cd, -12cd
Explanation;
Like terms have similar variables.
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)
m = 
= 
= - 1
Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - x + 6 or y = 6 - x ⇒ B
Answer:
150 students
Step-by-step explanation:
According to statement we have the following information
number of juniors=n=300
mean score=24
standard deviation score=4
The number of students that score above 24 is determined by
Number of students score above 24=number of juniors* P(student score above 24)
P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.
Students score above 24=np=300*0.5=150
Hence there are 150 students scored above 24.
Answer:
the height is 20
Step-by-step explanation:
you should set a equation first:
12/15=x/25
and then cross multiply
to get x=20
