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Alenkasestr [34]
3 years ago
5

The city of Raleigh has 10500 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe

liz. The day before the election, a telephone poll of 450 randomly selected registered voters was conducted. 237 said they'd vote for Brown, 190 said they'd vote for Feliz, and 23 were undecided.a. What is the population of this survey? b. What is the size of the population?c. What is the size of the sample?e. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. f. Based on this sample, we might expect how many of the 9500 voters to vote for Browng. Is this data qualitative or quantitative?
Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

quantitative

Step-by-step explanation:

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3 years ago
PLEASE HELP
laila [671]
<h3><u>Option A</u></h3>

4 x^{2}+32 x-80=0 is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.

<h3><u>Solution:</u></h3>

Given that,

Length of a rectangular frame is given as 2x + 10

Width of the rectangular frame is given as 2x + 6

Total area = 140 square inches

<em><u>The area of rectangular frame is given as:</u></em>

\text {area of rectangle}=\text {length } \times \text {width}

Plugging in values, we get

\begin{array}{l}{(2 x+10)(2 x+6)=140} \\\\ {4 x^{2}+12 x+20 x=80} \\\\ {4 x^{2}+32 x-80=0}\end{array}

This is the required equation to calculate width of rectangular frame

Solve the above quadratic equation to get the value of "x"

4 x^{2}+32 x-80=0

<em><u>Use the quadratic equation formula:</u></em>

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here a = 4 ; b = 32 ; c = -80

x=\frac{-32 \pm \sqrt{32^{2}-4(4)(-80)}}{2(4)}

x=\frac{-32 \pm \sqrt{2304}}{8}

x = 2 or x = -10

Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width

So put "x" = 2

Width of the rectangular frame = 2x + 6 = 2(2) + 6 = 10

Thus the width of frame is 10 inches

4 0
3 years ago
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