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Vsevolod [243]
1 year ago
12

1.Noah has a coupon for 30% off at his favorite clothing store. He uses it to buy a hoodie and a part of jeans.If the regular pr

ice of an item is x dollars and the item is 30% off, how wouldyou find the new price?
Mathematics
1 answer:
LenKa [72]1 year ago
8 0

If the item price is x dollars with 30% off, this item cost

\begin{gathered} x-(0.3\cdot x)=x(1-0.3)=x\cdot0.7 \\  \end{gathered}

where 0.3 correspond to 30%.

For instance, lets suppose that the item cost $50, then we have

50\cdot0.7=35

that is, the item will cost $35.

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Zielflug [23.3K]

Answer:

The  value is  P(X \ge  15) =  0.5

Step-by-step explanation:

From the question we are told that

    The probability of the device failing during the warranty period is p =  0.005

    The  sample size is  n = 3000

     The random variable  considered is  x  =  15

Generally this is distribution is binomial given the fact that there is only two out comes hence

      X  which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e

     X  \~ \  B(n , p)

Now the mean is mathematically evaluated as

      \mu  =  n *  p

=>   \mu  = 3000 *  0.005

=>    \mu  =15

The standard deviation is mathematically represented as

      \sigma  =  \sqrt{np(1 -p )}

=>  \sigma  =  \sqrt{3000 *  0.005 * (1 - 0.005 )}

=>   \sigma  =  3.86

Now given that n is very large, then it mean that we can successfully apply normal approximation on this  binomial distribution

So

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Now  applying  Continuity Correction we have

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Generally  \frac{X - \mu}{\sigma }   =  Z (The \ standardized \ value  \ of  \ X)

    P(X \ge  (15-0.5)) =  P(Z >-0.130 )

From the z-table  

       P(Z >-0.130 )  =0.5

Thus  

    P(X \ge  15) =  0.5

 

   

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