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adelina 88 [10]
3 years ago
9

Seth buys last year's best-selling novel, in hardcover, for $17.85 $⁢17.85 . This is with a 15% 15% discount from the original p

rice. What was the original price of the novel?
Mathematics
2 answers:
Troyanec [42]3 years ago
8 0

$21.00

let the original price = 100%

then the discount price = 100 - 15 = 85%

divide $17.85 by 85 to obtain 1% then multiply by 100 to obtain original price.

original price = $17.85 × \frac{100}{85} = $21


const2013 [10]3 years ago
8 0

Answer:

The original price of the novel is $ 21.

Step-by-step explanation:

Let x be the original price of the novel,

Discount percentage = 15%,

The amount of discount = 15% of the original price of the novel

= 15% of x

=\frac{15x}{100}

= 0.15x

Thus, the price of the book after discount = x - 0.15x

= 0.85x

According to the question,

0.85x = 17.85

\implies x = \frac{17.85}{0.85}=21

Hence, the original price of the novel is $ 21.

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When sample size increases from n = 23 to n = 35, the mean of the distribution of sample means remains same but the standard deviation of the distribution of sample means decreases from 0.073 to 0.059.

Step-by-step explanation:

We are given the amounts of time employees at a large corporation work each day are normally distributed, with a mean of 7.5 hours and a standard deviation of 0.35 hour.

Random samples of size 23 and 35 are drawn from the population and the mean of each sample is determined.

Here, \mu = population mean = 7.5 hours

          \sigma = population standard deviation = 0.35 hour

<u><em /></u>

<u><em>Let </em></u>\bar X<u><em> = sample mean</em></u>

(a) The random samples of size of n = 23 is drawn from the population;

So, mean of the distribution of sample means = \mu = 7.5 hours

Standard deviation for the distribution of sample means is given by;

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(b) The random samples of size of n = 35 is drawn from the population;

So, mean of the distribution of sample means = \mu = 7.5 hours

Standard deviation for the distribution of sample means is given by;

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