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Annette [7]
3 years ago
12

Leah has a 20% off coupon for a sports store. There is a tennis racket that is available at a discount of 10%. The store applies

the coupon after the 10% is taken. She buys the racket for $34. Approximately, what was the orginal price of the tennis racket
Mathematics
1 answer:
Art [367]3 years ago
3 0

Answer:the orginal price of the tennis racket is $47

Step-by-step explanation:

Let x represent the original price of the tennis racket at the sports store.

Leah has a 20% off coupon for the sports store. The tennis racket is available at a discount of 10%.

The store applies the coupon after the 10% is taken. The value of the discount on the original price of the tennis racket would be

10/100 × x = 0.1 × x = $0.1x

The discounted price of the racket would be

x - 0.1x = 0.9x

The value of the coupon would be

20/100 × 0.9x = 0.2 × 0.9x = 0.18x

The selling price after the coupon was applied would be

0.9x - 0.18x = 0.72x

She buys the racket for $34. This means that

0.72x = 34

x = 34/0.72 = $47

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Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

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Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

Therefore in our case

μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

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3 years ago
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B 

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It's true, if that's what your asking.

Step-by-step explanation:

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