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emmasim [6.3K]
3 years ago
8

When buying a new dress, you have a choice of 3 different lengths, 5 different colors, and 2 different styles. How many choices

are there for one dress?
Mathematics
2 answers:
marshall27 [118]3 years ago
7 0
It is three because there is one of everything
Lana71 [14]3 years ago
3 0

Answer with explanation:

Number of choices in Length for a dress  = 3

Number of choices in Color for a dress= 5

Number of choices in Style for a dress= 2

To select a length out of 3 length ,which can be done in  _{1}^{3}\textrm{C}

To Select a color, among 5 different colors , can be done in  _{1}^{5}\textrm{C}.

To Select a Style, among 2 different styles , can be done in  _{1}^{2}\textrm{C}.

Total Number of ways

       =_{1}^{5}\textrm{C}\times_{1}^{3}\textrm{C}\times_{1}^{2}\textrm{C}\\\\= 5 \times 3 \times 2\\\\=30

                             

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3 years ago
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 20
Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.  

Step-by-step explanation:

We are given the following in the question:

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p = 23% = 0.23

Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.23\\H_A: p < 0.23

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

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Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

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son4ous [18]
I’m not sure if this is right but im guessing c.
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3 years ago
Read 2 more answers
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