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DerKrebs [107]
4 years ago
11

Use the frequency distribution, which shows the number of American voters (in millions) according to age, to

Mathematics
1 answer:
a_sh-v [17]4 years ago
7 0

Answer:

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

Step-by-step explanation:

We can find the probability by simply dividing the frequency of the ages range of 18-20 by the total frequency.

Ages                Frequency

18 to 20             4.2

21 to 24             7.8

25 to 34           20.8

35 to 44           23.7

45 to 64           50.1

<u>65 and over       28.2</u>

<u>∑                        134.8</u>

The probability of an event is given by the occurrence of an event by the total occurrences .

So

Here the occurrence of ages 18-20 is given by 4.2

and the total frequency is 134.8

The probability that a voter chosen at random is in the 18 to 20 years old age range is =  4.2/ 134.8= 0.0311572

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The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\\4&28&8\\5&35&16\\6&42&32\\7&49&64\\8&56&128\\9&63&256\end{array}

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3 years ago
()) A rectangular piece of paper has a perimeter of 22 inches and an area of 28 square
Natasha2012 [34]

Given:

Perimeter of a rectangular paper = 22 inches.

Area of the rectangular paper = 28 square inches.

To find:

The dimensions of the rectangular paper.

Solution:

Let l be the length and w be the width of the rectangular paper.

Perimeter of a rectangle is:

P=2(l+w)

Perimeter of a rectangular paper is 22 inches.

2(l+w)=22

l+w=\dfrac{22}{2}

l=11-w                      ...(i)

Area of a rectangle is:

A=lw

Area of the rectangular paper is 28 square inches.

28=lw

Using (i), we get

28=(11-w)w

28=11w-w^2

w^2-11w+28=0

Splitting the middle term, we get

w^2-7w-4w+28=0

w(w-7)-4(w-7)=0

(w-7)(w-4)=0

Using zero product property, we get

(w-7)=0\text{ and }(w-4)=0

w=7\text{ and }w=4

If w=7, then by using (i)

l=11-7

l=4

If w=4, then by using (i)

l=11-4

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Therefore, the dimensions of the paper are either 7\times 4 or 4\times 7.

5 0
3 years ago
A triangle has sides with lengths of 8 feet, 15 feet and 18 feet is it a right triangle ?
Ber [7]

Answer:

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3 years ago
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4 years ago
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Point U on a graph is located at (4,8), Point V on the same graph is located at (12, 14).
miss Akunina [59]

Answer:

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gradient of UV = 14-8/12+4=3/4

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use one of the coordinates of U or V, I'll use (4,8)

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4 0
2 years ago
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