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Zielflug [23.3K]
3 years ago
11

The great state of Kansas, home of Pizza Hut, Wyatt Earp, the fabulous Jayhawks (and Shockers), that Great Wizard, the half-way

point between L.A. and NY city, and the Beef Bowl football game, had five (5) electors in electoral college for the 2008 presidential election. Based upon that information, how many Senators does Kansas have in the U.S. Senate currently
Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

Answer:

Not possible to calculate with the information

Step-by-step explanation:

Given

Elector = 5 (each)

Required

The number of Kansas senators presently in the US senate

First, it should be noted that the given information applies to 2008 presidential election

Next, the given information states the number of electors each of the given locations had in the electoral college.

There was no information about the number of senators in the senate (presently or 2008).

<em>Hence, additional information is required to answer the question.</em>

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Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

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10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

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27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

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Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
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The standard method is correct but it shows 53 instead of 5.3
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Class Interval             Variate         Frequency

16-18                              16                     1

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