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4 years ago

What is the second term in the pattern with formula 12 · 3n – 1? a. 36 b. 45 c. 72 d. 108

Mathematics

1 answer:

Lapatulllka [165]4 years ago

3 0

Second term = 12 x 3(2 - 1) = 12 x 3 = 36

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Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest

Fantom [35]

Answer:

$0.66$

Step-by-step explanation:

GIVEN: Suppose that in a certain county $37\%$ of voters are registered as Democrats, $29\%$ as Republicans, $7\%$ as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be $100x$ .

voters registered as Democrats $=37\%=\frac{37}{100}\times100x$

$=37x$

voters registered as Republicans $=29\%=\frac{29}{100}\times100x$

$=29x$

voters registered as Green party $=7\%=\frac{7}{100}\times100x$

$=7x$

Probability that first call will be to Democrats $P(A)=\frac{\text{total democrats}}{\text{total voters}}$

$=\frac{37x}{100x}=0.37$

Probability that first call will be to Republican $P(B)=\frac{\text{total republicans}}{\text{total voters}}$

$=\frac{29x}{100x}=0.29$

probability that the first call will be to either a Democrat or a Republican

$=P(A)+P(B)$

$=0.37+0.29$

$=0.66$

Hence the probability that the first call will be to either a Democrat or a Republican is $0.66$

6 0

4 years ago

Bronson builds a rectangular deck for his friend. the width of the deck is 29 feet. the perimeter of the deck must be at least 1

olga_2 [115]

Answer: a) Greater than or equal to 38 feet b)Since there is no restriction on the perimeter there exists many possible values for the length of the deck. Explanation: Given that the width of the deck is 29 ft. and the perimeter of the deck is at least 134 ft. 134 = 2(length + width) 134 = (2 x length) + (2 x 29) 134 = (2 x length) + 58 2 x length = 134 - 58 2 x length = 76 length = 76 / 2 length = 38 ft Thus, the inequality will be: a)Length â‰Ą 38 ft b)since there is no restriction on the perimeter there exists many possible values for length of deck.

4 0

4 years ago

Several ordered pairs from a continuous exponential function are shown in the table. what are the domain and range of function?

son4ous [18]

the answer is b......

5 0

4 years ago

Read 2 more answers

When a number is decreased by 4%, the result is 93. What is the original number

romanna [79]

Answer:

The original number is 96.875

Step-by-step explanation:

Let's find the original number using the Direct Rule of Three, this way:

Percentage Number

100 x

96 93

***********************************************

96x = 93 * 100

96x = 9,300

x = 9,300/96

x = 96.875

The original number is 96.875

7 0

3 years ago

Yolanda needs 5 pounds of ground beef to make lasagna for a family reunion. One package of ground beef holds 2 1/2 pounds. Anoth

jonny [76]

You can find the answer by adding the two packages and subtracting them by 5.
2 1/2+2 3/5=5 1/10
5 1/10-5=1/10

Yolonda will have 1/10 left over.

4 0

3 years ago