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Ainat [17]
3 years ago
11

Nina ran 12 4/5 laps in 1/4 of an hour . At this rate , how many laps could she run in a hour ?

Mathematics
1 answer:
slega [8]3 years ago
8 0

\text{ Answer: There are }51 \frac{1}{5}\ laps.

Explanation:

Since we have given that

Number of laps Nina ran is given by

12\frac{4}{5}

Time taken by Nina to ran the lap is given by

\frac{1}{4}

Now, we use the unitary method ,

In\ \frac{1}{4}\ hour,\text{ Nina ran }12\frac{4}{5}=\frac{64}{5}\ laps\\\\In\ 1\ hour,\text{ Nina ran }\frac{\frac{64}{5}}{\frac{1}{4}}=\frac{256}{5}\ laps

Now, we change it into mixed fraction,

\frac{256}{5}=51\frac{1}{5}\ laps

Hence,

\text{ there are }51 \frac{1}{5}\ laps.

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g In 2013, the Pew Research Foundation reported that 43% of U.S. adults report that they live with one or more chronic condition
SOVA2 [1]

Answer:

We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%

Step-by-step explanation:

From the question we are told that

  The  sample  proportion is \r p = 43\%  = 0.43

   The  standard error is SE =  0.017

Given that the confidence level is 95%  then the level of significance is mathematically represented as  

      \alpha =  (100-95)\%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as

     E = Z_{\frac{\alpha }{2} } *  SE

=>    E = 1.96 *  0.017

=>     E = 0.03332

Generally 95% confidence interval is mathematically represented as

      \r p -E <  p <  \r p +E

=>   0.43 -0.03332 <  p <  0.43 + 0.03332

=>    0.39668 <  p <  0.46332

Converting to percentage

(0.39668 * 100)<  p <  (0.46332*100)        

39.7\% <  p < 46.33 \%    

7 0
3 years ago
Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?
Brrunno [24]

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4(\frac{-2}{5})-4(3x)

=8/5-12x. This is your answer!

7 0
3 years ago
Is an arithmetic sequence a function?
Sphinxa [80]
Yes it is a linear function
3 0
3 years ago
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il63 [147K]

Possible 24 impossible 3

5 0
3 years ago
Evaluate |bc|, given a = 5, b = -3, and c = -2.
Anni [7]

Answer:

6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • |Absolute Value| - makes any number positive

Step-by-step explanation:

<u>Step 1: Define</u>

|bc|

a = 5

b = -3

c = -2

<u>Step 2: Evaluate</u>

  1. Substitute:                    |-3 · -2|
  2. Multiply:                        |6|
  3. Evaluate:                       6
7 0
3 years ago
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