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Vikki [24]
3 years ago
8

Kristin wants to buy a pair of jeans that cost $45. she gets a 15% discount since she works at the store. she has to pay 6% sale

s tax. how much will she pay for the jeans?
Mathematics
1 answer:
expeople1 [14]3 years ago
5 0
15%-6%=9%
45x.09=4.05
45-4.05=$40.95 the jean will cost 40.95
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The number of hours worked per year per person in a state is normally distributed with a standard deviation of 39. A sample of 1
evablogger [386]

Answer:

The 98% confidence interval for the population mean number of hours worked per year per person is (2146, 2193).

Step-by-step explanation:

The question is incomplete.

The number of hours registered in the sample are:

2051 2061 2162 2167 2169 2171

2180 2183 2186 2195 2196 2198

2205 2210 2211

The sample mean can be calculated as:

M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{15}(2051+2061+2162+2167+2169+2171+2180+2183+2186+2195+2196+2198+2205+2210+2211)\\\\\\M=\dfrac{32545}{15}\\\\\\M=2169.67\\\\\\

We have to calculate a 98% confidence interval for the mean.

The population standard deviation is know and is σ=39.

The sample mean is M=2169.67.

The sample size is N=15.

As σ is known, the standard error of the mean (σM) is calculated as:

\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{39}{\sqrt{15}}=\dfrac{39}{3.873}=10.07

The z-value for a 98% confidence interval is z=2.326.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=2.326 \cdot 10.07=23.43

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 2169.67-23.43=2146\\\\UL=M+t \cdot s_M = 2169.67+23.43=2193

The 98% confidence interval for the population mean is (2146, 2193).

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4 years ago
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Answer:

141

Step-by-step explanation:

141

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Answer:

\sqrt32

Step-by-step explanation:

You use the Pythagorean theorem since a triangle is formed.

a^{2} +b^{2} =c^{2}

6^{2} = 2^{2} +x^{2}

36-4 =x^{2}

x= \sqrt{32}

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3 years ago
Solve 3[-x + (2 x + 1)] = X-1.<br> X =
dexar [7]
X= -2

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