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Trava [24]
3 years ago
11

Starla bought cloth napkins at an outlet store for $4.25 each, and she also used a $20 off coupon. In the equation below, x repr

esents the number of napkins, and y represents the cost before tax.
y = $4.25x - $20

If Starla paid $43.75 before tax, how many napkins did she buy?
Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Solution:

Given data in the question-

Price of per piece of napkin at an outlet store - $4.25

Discount coupon used a $20 off coupon.

y = 4.25x - 20

In the equation , x represents the number of napkins, and y represents the cost before tax.

She paid $43.75 before tax, which means y=43.75

=> 43.75 = 4.25x-20\\= >43.75+20 =4.25x\\=>x=\frac{63.75}{4.25} = 15

Starla bought 15 napkins

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Two lines or equations are described in each part. Decide whether each system has one solution, no solution, or infinitely many
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7 0
3 years ago
A manager of a grocery store wants to determine if consumers are spending
ololo11 [35]

Answer:

1. The error in the assumption is taking the sample mean, \bar x, as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Step-by-step explanation:

We note that from the central limit theorem as the size of the sample, n, becomes more and more larger, the mean of the sample, \bar x, approaches that of the population mean, μ, therefore as the grocery store manager uses the sample mean as the population mean's point estimate an error will be observed based on the size of the sample compared to the population, where the difference between the two means (the population mean and the sample mean) is \left | \bar{x} - \mu \right |

1. The error in the assumption is taking the sample mean, \bar x, as being equal to the population mean, μ

2. To correct the error, the manager will need to generate the confidence interval based on the population standard deviation on the acceptable values of the mean using the following relation;

CI=\bar{x}\pm z\frac{\sigma}{\sqrt{n}}

Where:

σ = Population standard deviation = $30

z = z value at 95% confidence level = 1.96

\bar x = Sample mean $160

n = Sample size = 10

Plugging in the values, we have;

$141.4 < \bar x < $178.6

Hence the expected value of the mean should be between $141.4 and $178.6.

7 0
3 years ago
a bicycle shop advertised all mountain bikes priced at a 1/3 discount.the original price of the bicycle is 327 dollars what is t
Andre45 [30]

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6 0
3 years ago
The following menu items were ordered at a pizza parlor on Friday. 3 salads, 8 pizzas, 4 sides of breadsticks, and 5 pepperoni c
den301095 [7]

Answer:

Using proportions, the pizza parlor should expect 20 breadsticks and 25 calzone orders if there were 100 total orders.

Step-by-step explanation:

Orders:

Salads                           3

Pizzas                           8

Sides of breadsticks   4

Pepperoni calzones    5

Total orders:              20


Proportion of sides breadsticks=4/20=0.2

Proportion of pepperoni calzones=5/20=0.25


For 100 total orders:

Sides of breadsticks=0.2(100)=20

Pepperoni calzones=0.25(100)=25


6 0
3 years ago
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