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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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A die has 6 sides and 4 on one of the sides. so P(4) = 1/6
5 0
4 years ago
Can the sides of a triangle have lengths 5, 8, and 11? Yes or no
tiny-mole [99]

Answer:

no

Step-by-step explanation:

when you add 5 and 8 that will be 13. and according to the rules, both lengths of the triangle should add up to be greater then the other number in this case,11.

3 0
3 years ago
Let $PQR$ be a triangle such that $\angle P = \angle Q + \angle R.$ Among all three exterior angles of triangle $PQR,$ what is t
saw5 [17]

Answer:

The exterior angle to the vertex P, measuring 90°

Step-by-step explanation:

The sum of the internal angles of any triangle needs to be equal 180 degrees. So, we can write two equations:

mP = mQ + mR

mP + mQ + mR = 180°

Substituting (mQ + mR) by mP in the second equation, we have:

mP + mP = 180°

mP = 90°

this right angle is the bigger angle in the triangle, because the sum of all three angles needs to be 180°.

Each exterior angle is the supplementary angle of the respective internal angle, so the bigger the internal angle, the smaller the external angle.

So if the bigger internal angle is mP = 90°, the smaller exterior angle is 180 - 90 = 90°.

5 0
4 years ago
[3 - (4 + 32 * 8) ÷ 4] =<br><br><br> -16<br><br><br> 16<br><br><br> -15<br><br><br> 14
Salsk061 [2.6K]
PEMDAS
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction

<span>[3 - (4 + 32 * 8) ÷ 4] =
</span>3 - (4 + (32)(8)/ 4)
3 - (4 + 256/ 4)
3 - 260/4
3 - 65
Your answer is -62



4 0
3 years ago
Milo pays $3 per pound for dog food at Pat's pound of food at Mark's Mutt Market. At which Palace. The graph below represents th
Irina18 [472]

Answer:

Pat Pet's Palace

Step-by-step explanation:

Price of dog food at Pat Pet's Palace = $3 per pound

Price of dog food at Mark's Mutt Market can be estimated using the graph given.

The graph is a proportional graph, thus, the constant of proportionality between cost and pound = y/x

Using the coordinates of a point on the line, (2.5, 10), constant of proportionality or unit rate = y/x = 10/2.5 = 4.

This means the price of dog food at Mark's Mutt Market is $4 per pound.

Therefore, Milo would pay a lower price per pound for dog food at Pat Pet's Palace.

3 0
3 years ago
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