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Rufina [12.5K]
3 years ago
8

Marilyn purchased a book that had a regular price of $19. She used a coupon that reduced the regular price by 15%. Sales tax for

the purchase was 6.5% of the reduced price. Marilyn paid for the purchase with a $20 bill. How much change should Marilyn receive for her purchase? Use words, numbers, or diagrams to justify your answer
Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

2.80

Step-by-step explanation:

The discount is the regular price times the discount

discount = 19 *15%

discount = 2.85

The new price is the regular price minus the discount

new price = 19-2.85

                 =16.15

Now she has to pay the sales tax

tax = new price * tax rate

tax= 16.15 * 6.5%

     = 16.15 *.065

       =1.05

We add the tax to the new price to get the final price

final price = new price+tax

                = 16.15 +1.05

                =17.20

She pays with a 20 dollar bill

Change = payment - final price

              =20.00 - 17.20

              = 2.80

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luda_lava [24]

Answer:

first one is yellow

Step-by-step explanation:

7 0
2 years ago
Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1
alexandr1967 [171]

Answer:

a) \simeq 0.3012   b) \simeq 0.0494 c) \simeq 0.2438

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, \frac{1.2}{4}

= 0.3 collisions per  month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

          P(X =x) = \frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}


                                                           for x ∈ N ∪ {0}

                       =  0 otherwise --------------------------------------(1)

here, \lambda = 0.3 collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

         P(X = 0) = \frac{e^{-0.3}\times {\0.3}^{0}}{0!}


                      \simeq 0.7408182207 ------------------------------------(2)

Now, since we are calculating  this for 4 months,

so, P(No collision in 4 month period)

     =0.7408182207^{4}

     \simeq 0.3012  -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

           P(X =1) = \frac{e^{-0.3}\times {\0.3}^{1}}{1!}


                      \simeq 0.2222454662 ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

                =0.2222454662^{2}

                \simeq 0.0494 -----------------------------------------(5)

1 collision in 6 months period means

                                \frac{1}{6} collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6]  (which is to be estimated)

=\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

\simeq 0.6543894283-------------------------------------------(6)

So,

P(1  collision in 6 month period)

  =  0.6543894283^{6}

   \simeq 0.0785267444 ------------------------------------------------(7)

So,

P(No collision in 6 months period)

  = (P(X =0)^{6}

   \simeq 0.1652988882 ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

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7 0
3 years ago
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LekaFEV [45]

Answer: Insufficient Information

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The probability of selecting a red ball, a blue ball or a white ball is unknown.

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Which statement describes the graph of f(x)=-4x^3-28x^2-32x+64
lord [1]
The only that has the shape of the one below.

y = -4(x^3 + 7x^2+8x - 16)
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y = 0

y = -4(x -1)(x^2 + 8x + 16)
y = -4(x - 1)(x + 4)^2


7 0
3 years ago
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The total cost would  be:

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20 = guest

20*20=

400 would be the cost

6 0
3 years ago
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