Answer:
A sample of the data for the for the total income are as follows;
State, Indiana
Income, Number of families
0, 1
5, 1
10, 1
15, 1
20, 3
25. 4
From the data, we have;
The total income for the families from Indiana = $2,260
The total income for the families from New Jersey = $2,565
The average income for the families from Indiana ≈ $64.57
The average income for the families from New Jersey ≈ $73.29
The median income for the families from Indiana = 0
The median income for the families from New Jersey = $55
The first quartile for the families from Indiana = $0
The first quartile for the families from New Jersey = $0
The third quartile for the families from Indiana = $85
The third quartile for the families from New Jersey = $120
Step-by-step explanation:
10≤n<100
So the number of two digit numbers is 99-10+1=90
The only combinations that sum to 5 are 14, 23, 32, 41, 50 so
P(sum=5)=5/90
P(sum=5)=1/18
Answer:
Step-by-step explanation:
A parabola is written in the form
(1)
where:
is the x-coordinate of the vertex of the parabola
is the y-coordinate of the vertex of the parabola
is a scale factor
For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:
(2)
From this last equation, we get that 
(3)
Substituting (2) and (3) into (1) we get the new expression:
(4)
We also know that the parabola contains the point (2,-1), so we can substitute
x = 2
f(x) = -1
Into eq.(4) and find the value of k:
So we also get:
So the equation of the parabola is:
(5)
Now we want to rewrite it in the standard form, i.e. in the form
To do that, we simply rewrite (5) expliciting the various terms, we find:
Answer:
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