<span>
If
you want to express the vertex form of an equation you have to know
that the vertex form of a parabola’s equation can be expressed as:
y = a(x - h)</span>²<span> + k. The way you know how the parabola will look like
is:
If
a is positive then the parabola opens upwards like a U.
If
a is a negative number, then the graph will open downwards like an
upside down U.
<span>
I
hope it helps, Regards.</span></span>
Answer: 0.345
Step-by-step explanation:
Given : The incomes of families in Newport Harbor are normally distributed with Mean : 
and Standard deviation : 
Samples size : n=4
Let x be the random variable that represents the incomes of families in Newport Harbor.
The z-statistic :-
For x= $800,000
By using the standard normal distribution table , we have
The probability that the average income of these 4 families exceeds $800,000 :-
Hence, the probability that the average income of these 4 families exceeds $800,000 =0.345
Answer:
A. The situation is discrete B. i. { x : 0 ≤ x ≤ 6; x ∈ Z} ii. { C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
Step-by-step explanation:
A. The situation is discrete since we have integral values for the amount paid per mile walked. The amount per mile is $5 and is only paid if a complete mile is walked. So, it is a discrete situation.
B. i. Since 0 miles represents 0 distance and the student walks a maximum of 6 miles, let x represent the distance walked. So the domain is 0 ≤ x ≤ 6 where x ∈ Z where Z represent integers.
{ x : 0 ≤ x ≤ 6; x ∈ Z}
ii. Since at 0 miles the amount earned is 0 miles × $5 per mile = $ 0 and at the maximum distance of 6 miles, the amount earned is 6 miles × $5 per mile = $ 30, let C represent the amount donated in dollars. So the range is 0 ≤ C ≤ $ 30 where C = 5x.
{ C = 5x : 0 ≤ C ≤ 30; C ∈ Z}
A= -3(a+b-1/3c)
A= -3a-2b+c
+3a+3b=+3a+3b
c=3a+3b+A
