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Leya [2.2K]
3 years ago
11

Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station.

Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase. what is her net change
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

The total charge to her account balance is $83.22

Step-by-step explanation:

We are told that she initially spends $36.50 at the clothing store plus 8% tax.

8% of $36.50 is:

8 / 100 * 36.50 = $2.92

Her total spending at the clothes store is therefore

$36.50 + $2.92 = $39.42

She then spend $25 to refuel her car.

She then bought groceries worth $23.50 and handed over a coupon for a 20% discount on her purchase.

20% discount means 20% of her cost was deducted from what she was supposed to pay and she only paid 80% of the amount she was supposed to pay.

80% of $23.50 is:

80 / 100 * 23.50 = $18.80

Therefore, her total cost (change in her account balance) is:

$39.42 + $25 + $18.80 = $83.22

The total charge to her account balance is $83.22.

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aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable <em>X</em> denote the water depths.

As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

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                               =\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

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