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Troyanec [42]
3 years ago
11

Which expression is equivalent to 7 2/3 ⋅ 7 1/4?

Mathematics
2 answers:
dimulka [17.4K]3 years ago
8 0

Answer:

B

Step-by-step explanation:

Recall that 7^a\cdot 7^b = 7^{a+b}

So now

7^{2/3} \cdot 7^{1/3}\\= 7^{\frac{2}{3}+\frac{1}{4}}\\=7^{\frac{8}{12}+\frac{3}{12}}\\=7^{11/12}

Whitepunk [10]3 years ago
4 0

•7 3/7 is equivalent to 7 2/3 • 7 1/4

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Jarred went to the bookstore,
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Answer:

the original price of the book is $20

Step-by-step explanation:

sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.

<u>Things that are useless:</u>

  • his name is Jarred (his name could be gary, it doesn't affect us getting the answer)
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  • the book is softcover (it could be any type of book, wont affect us getting to the answer)
  • the item is a book (it could be anything that he bought, wont affect us getting to the answer.)

<u>Things that are helpful:</u>

  • the book was on sale (helps us know that the price was reduced)
  • the book was on sale 10% (helps us know how much it was reduced by)
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Ok, now that we know those, let's work on the question.

let b be the original book price

we need to find 10% so we have to use 90% (because 100 - 10 = 90)

if we needed to find 20% we would use 80% (because 100 - 20 = 80)

and so on.

  90% of b = 18    (90% of the og. book price equals 18)

90/100 × b = 18    (write a correct equation and make the percent a fraction)

    9/10 × b = 18    (simplify both sides of the equation)

         9 × b = 180  (multiply both sides of the equation to get rid of fraction)

               b = 20   (divide both sides of the equ. to get b by itself)

the original price of the book is $20

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In a poll conducted before a Massachusetts city's mayoral election, 134 of 420 randomly chosen likely voters indicated that they
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Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

<h3>What is a confidence interval?</h3>

It is given by the <u>sample proportion plus/minus the margin of error</u>, and a x% confidence interval means that we are x% sure the population proportion is in the interval.

134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:

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The margin of error for the statistic is 0.045, hence:

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The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

More can be learned about confidence interval concepts at brainly.com/question/25890103

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