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3 years ago

6

Napkins come in a variety of packages. A package of 40 napkins sells for $4.59, and a package of 10 napkins sells for $2.30. Fin

d the unit cost of each package. Which is the better buy? (Round to four decimal places as necessary.)

1 answer:

Ilia_Sergeevich [38]3 years ago

3 0

Answer:

for the 40 package unit cost is $0.1148

In 10 pack the unite price would be $0.2300

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Find the value of x and y

Inessa [10]

Answer: D. x=9√3; y=18

Step-by-step explanation:

This is a 30-60-90 special triangle, where we can use the rules to find the value of x and y. (For specific explanation, please look at the attachment below)

-----------------------------------------------------------------------------------------------------

<u>X value</u>

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the second short side is x√3

- Substitute value in= x√3=(9)√3=9√3

Y value

- The shortest side of the triangle that corresponds with [x] is 9 units. This is because it is half of the larger triangle's side length.

- Using the rules, the shortest side is x, then the longest side is 2x

- Substitute value in= 2x=2(9)=18

Hope this helps!! :)

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3 years ago

Which expression is equivalent to 16 - 4x^2?

melamori03 [73]

Answer:

4(2 - x)(2 + x)

Step-by-step explanation:

16 - 4x² ← factor out 4 from each term

= 4(4 - x²) ← difference of 2 squares

= 4(2 - x)(2 + x) ← in factored form

8 0

2 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.

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3 years ago

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Scilla [17]

Answer: the perimeter is 214. AB's half is 32.5 and BC's whole is 65

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3 years ago

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11111nata11111 [884]

Answer:

C

Step-by-step explanation:

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2 years ago