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Yuri [45]
2 years ago
13

At a store, sales tax is changed at & rare of

Mathematics
2 answers:
Softa [21]2 years ago
7 0

Answer:

$3.60

Step-by-step explanation:

Convert the percentage to a decimal.

2% = 0.02

Multiply the cost of the dress by the decimal to find the sales tax.

$180 × 0.02 = $3.60

The sales tax $3.60.

VashaNatasha [74]2 years ago
7 0

Answer:

3.60

Step-by-step explanation:

sales tax = cost * tax rate

                = 180 * 2%

                 = 180 * .02

                 =3.60

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An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t
Neko [114]

Answer:

35.2% probability that the sample mean will be 246 pages or more

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{246 - 245}{2.61}

Z = 0.38

Z = 0.38 has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

35.2% probability that the sample mean will be 246 pages or more

4 0
3 years ago
A number decreased by 23 is 44. Find the number.
Irina-Kira [14]
A) can.
because the number (x) has been decreased by 23 and is now 44.

Hope this helps :)
4 0
2 years ago
Read 2 more answers
What is the greatest common factor of 24, 18, and 36?
slava [35]

Answer:

most likely 6

Step-by-step explanation:

because factors of 36 is 4,2,6 etc factors of 18 is 6 and 24 and it the gcf

8 0
3 years ago
Read 2 more answers
Determine whether the following graph represents a function.
Nata [24]

Answer:

yes

Step-by-step explanation:

5 0
2 years ago
What is 31 in tens and ones
My name is Ann [436]
3 is in the tens and 1 is in the ones. To explain more easily... 30+1 is 31.<span />
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