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elena-s
2 months ago
10

Which decimal is equivalent to \dfrac{4}{3} 3 4 ​ start fraction, 4, divided by, 3, end fraction? Choose 1 answer: Choose 1 answ

er: (Choice A) A 0.750.750, point, 75 (Choice B) B 1.251.251, point, 25 (Choice C) C 1.\overline{1}1. 1 1, point, start overline, 1, end overline (Choice D) D 1.\overline{3}1. 3
Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
7 0

Answer:

The correct choice is option D.

Detailed explanation:

Any fraction where m > n can be represented as a/b

where a = quotient

b = remainder.

The specified number is given as m/n.

3)4( 1 ← quotient

- 3

____

   1 ← remainder

In this case, quotient= 1, remainder=1, and n=3.

\therefore \frac43=1\frac13.

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15Step-by-step explanation: If she consumes 3 cups every hour and the hike lasts for 5 hours (3 x 5 = 15), she will need a total of 15 cups of water, not just 12.
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A customer buys a different book that has an original selling price of $38. The book is discounted 25%. The customer must pay a
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$38.00 imes 0.25 = $9.50
$38.00 - $9.50 = $28.75
$28.75 imes 0.06 = $1.725
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2 months ago
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Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? re
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1 month ago
Suppose your statistics professor reports test grades as​ z-scores, and you got a score of 1.57 on an exam. ​a) Write a sentence
tester [12383]

Answer:

a) In this case, we have a z-score of 1.57, characterized as:

z =\frac{x -\mu}{\sigma}

This signifies that our score is 1.57 standard deviations above the average of all test scores.

b) P(Z

Using the normal standard distribution or Excel, we computed:

P(Z

This represents 2.275% of the dataset.

Step-by-step explanation:

Previous concepts

Normal distribution denotes a "probability distribution that is symmetric around the mean, indicating that data close to the mean occurs more frequently than data further from it".

The Z-score serves as "a statistical measurement representing a value's relation to the average (mean) of a set, calculated in terms of standard deviations away from the mean".

Solution to the problem

Part a

For this instance, we hold a z-score of 1.57, which is defined as:

z =\frac{x -\mu}{\sigma}

This shows that our score is 1.57 deviations above the overall test score average.

Part b

A z-score of z=-2 indicates that your friend's score is 2 deviations below the other test scores.

Assuming a normal distribution, we can derive the percentage:

P(Z

Using the normal standard distribution or Excel, we discovered:

P(Z

This represents 2.275% of the data.

6 0
3 months ago
Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
tester [12383]

Answer:

Attached is the question in consideration.

m\angle CEA =90 \ (deg)

m\angle BEF=135\ (deg)

\angle CEF forms a straight line.

\angle AEF depicts a right triangle.

The options 1,4,5,6 represent the correct answers.

Step-by-step explanation:

⇒ Given that \ ray\ AE  is ⊥FEC it constitutes a right triangle, leading to m\angle CEA =90\ (deg).

⇒ The measure for \angle BEF =135\ (deg) equals \angle BEF =\angle AEB +\angle AEF = (45+90)=135\ (deg) as \angle AEB bisects \angle AEC, implying that \angle AEB is half of \angle AEC, thus  \angle AEB = 45\ (deg).

⇒\angle CEF represents a straight line, as the angle measures across it yield 180\ (deg).

⇒ The angle measure for \angle AEF = 90\ (deg) is derived from the linear pair concept.

Since \angle CEA + \angle AEF = 180\ (deg), inserting the values of  m\angle CEA =90\ (deg) leads to \angle AEF = 90\ (deg).

The other two options are incorrect as:

  • m\angle CEF=m\angle CEA + m\angle BEF = (90+135)=225

       it surpasses 180\ (deg) while \angle CEF is a               

      straight line.

  • Also, m\angle CEB=2(m\angle CEA) is inaccurate.

     As \angle CEA = 90\ (deg) and \angle CEB=45\ (deg)

Thus, we have a total 4 valid answers.

The confirmed options are 1,4,5,6.

5 0
2 months ago
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