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3 years ago

Calculate the final cost of the item with tax. Gloves: $17.50, Tax: 6.15% PLS HELP

Mathematics

1 answer:

aliya0001 [1]3 years ago

7 0

Answer:

$17.50 + $1.08 (sales tax) = $18.58

Step-by-step explanation:

17.50 x 6.150

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Answer 11
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New heat lamps are reported to have the mean lifespan of 100 hours with a standard deviation of 15 hours. Before replacing their

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Answer:

The correct option is C

The correct option is A

The correct option is B

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 100$

The standard deviation is $\sigma = 15$

The sample size is $n = 36$

The sample mean is $\= x = 105.1$

Generally

The null hypothesis is $H_o: \mu = 100 \ hours$

The alternative hypothesis is $H_a : \mu \ne 100\ hours$

Given that the null hypothesis is true then the distribution of sample means $\mu_{\= x }$ , from a sample size of 36 is mathematically represented as

$\mu_{\= x } = \mu$

=> $\mu_{\= x } = 100$

According to the Central Limit Theorem the test stated in the question is approximately normally distributed if the sample size is sufficiently large $(n > 30 )$ so given that the sample size is large n = 36

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Generally the standard error of mean is mathematically represented as

$\sigma_{\= x } = \frac{ \sigma }{\sqrt{n} }$

=> $\sigma_{\= x } = \frac{15}{\sqrt{36} }$

=> $\sigma_{\= x } = 2.5$

Generally the approximate probability of observing a sample mean of 105.1 or more is mathematically represented as

$P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(\frac{\= X - \mu }{\sigma_{\= x }}$

=> $P( \= X \ge 105.1 ) =1 - P(\= X < 105.1) = 1- P(Z$

From the z-table (reference calculator dot net )

$P(Z$

$P( \= X \ge 105.1 )= 1 - P(\= X < 105.1) = 1- 0.97932$

$P( \= X \ge 105.1 ) =0.02$

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Answer:

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Calculate the final cost of the item with tax. Gloves: $17.50, Tax: 6.15% *PLS HELP*

Calculate the final cost of the item with tax. Gloves: $17.50, Tax: 6.15% PLS HELP