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Zinaida [17]
3 years ago
9

The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

s the number of electoral votes California was assigned each decade of the past century. What is the 3rd quartile of the data?

Mathematics
2 answers:
aleksley [76]3 years ago
4 0

Answer:

47 votes

Step-by-step explanation:

sattari [20]3 years ago
3 0

Answer:

D. Q_3=47

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

Q_3=\frac{3}{4}*(n+1)^{\text{th term}}, where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

Q_3=\frac{3}{4}*(11+1)^{\text{th term}}

Q_3=\frac{3}{4}*(12)^{\text{th term}}

Q_3=3*3^{\text{th term}}

Q_3=9^{\text{th term}}

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

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What are the values of a, b, and c in the matrix addition below?
Afina-wow [57]

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The difference of 3 times a number and 18 is 39. what is the number?
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Read 2 more answers
Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?
taurus [48]

Step-by-step explanation:

As we know that f is a polynomial function, the values of x for which f(x)=0 are said to be the zeros of  f.

Factoring the polynomial equation, if it is eligible to get factored, setting each factor equal to zero and solving can determine the zeros.

So, it is clear from above that option A i.e.  h\left(x\right)=-4\left(x\:-\:2\right)\left(x\:+\:2\right) and option C i.e. h\left(x\right)\:=\:4\left(x^2\:-\:4\right) displays the zeros of function h, as they can be factored by setting each factor equal to zero.

Option A)

Lets solve them to get the zeros of these functions.

Considering the function

h\left(x\right)=-4\left(x\:-\:2\right)\left(x\:+\:2\right)

\mathrm{The\:roots\:are\:the\:intercepts\:with\:the\:x-axis}\:\left(y=0\right)

-4\left(x-2\right)\left(x+2\right)=0

Using the Zero Factor Principle:

\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

So,

\mathrm{Solve\:}\:x-2=0:\quad x=2

\mathrm{Solve\:}\:x+2=0:\quad x=-2

\mathrm{The\:zeros\:to\:the\:quadratic\:equation\:are:}

x=2,\:x=-2

Option B)

Considering the function

h\left(x\right)\:=\:4\left(x^2\:-\:4\right)

\mathrm{The\:roots\:are\:the\:intercepts\:with\:the\:x-axis}\:\left(y=0\right)

4\left(x^2-4\right)=0

\mathrm{Divide\:both\:sides\:by\:}4

\frac{4\left(x^2-4\right)}{4}=\frac{0}{4}

x^2-4=0

x^2=4

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{4},\:x=-\sqrt{4}

x=2,\:x=-2

Although the zeros of the function h\left(x\right)=-4x^2\:+\:16 can also be obtained for the function by similar method. But, for this we would have to solve them before determining the zeros.

For example,

Considering the function

h\left(x\right)=-4x^2\:+\:16

\mathrm{The\:roots\:are\:the\:intercepts\:with\:the\:x-axis}\:\left(y=0\right)

-4x^2+16=0

-4x^2+16-16=0-16

-4x^2=-16

x^2=4

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{4},\:x=-\sqrt{4}

x=2,\:x=-2

Keywords: zeros, quadratic function

Learn more about zeros, quadratic function from brainly.com/question/12531669

#learnwithBrainly

7 0
3 years ago
Read 2 more answers
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