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Arturiano [62]
3 years ago
9

Answers for 1,2,3 please. Thank you

Mathematics
1 answer:
lesantik [10]3 years ago
7 0
1. <em>B.) 6^{4}

</em>
2. <em>C.) 3 x 3 x 3 x 3 x 3</em><em />
<em>
</em>
<em />3. 
<em>a.) -5^{3}

b.) 1.05^{6}</em>


c.) <em>(-\frac{3}{5} )^{3}
</em>
<em />
<em />Here's a little explanation as to how we got those answers. A power is an exponent given to a number indicating that the base number is being multiplied by itself that many times. Here's an example:
<em>
</em>
4^{3}
<em />The 4 is our base number and it is given the exponent 3, so we would read this expression like so, " Four to the third power". That third power means that 4 is being multiplied by itself 3 times. so, it would look something like this:
<em>
4 x 4 x 4
16 x 4
64

</em>
4^{3} = 64
<em>
</em>Thank you for the question! I hope this helped! Have an amazing day! :D
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A survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This
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Answer:

Test statistics = 2.29

P-value = 0.01101

Step-by-step explanation:

We are given that a survey conducted five years ago by the health center at a university showed that 18% of the students smoked at the time. This year a new survey was conducted on a random sample of 200 students from this university, and it was found that 50 of them smoke.

Let Null Hypothesis, H_0 : p = 0.18 {means that the percentage of students who smoke has remained same at 18% over the last five years}

Alternate Hypothesis, H_1 : p > 0.18 { means that the percentage of students who smoke has increased over the last five years}

The test statistics used here will be ;

       T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p (1-\hat p)}{n} } } ~ N(0,1)

where, \hat p = sample proportion of students = 50/200 = 0.25

            n = sample size = 200

So, test statistics = \frac{0.25 -0.18}{\sqrt{\frac{0.25 (1-0.25)}{200} } }

                            = 2.29

Now, P-value is given by = P(Z > 2.29) = 1 - P(Z <= 2.29)

                                                               = 1 - 0.98899 = 0.01101 or 1.101 %

Therefore, P-value of the test is 0.01101 .

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3 years ago
Write the equations after translating the graph of y = | 1/2 x -2 | + 3 one unit to the right
spin [16.1K]

Using translation concepts, the equation of the graph is:

y = |0.5x - 2.5| + 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The function is:

y = |0.5x - 2| + 3.

When it is shifted one unit to the right, we have that x -> x - 1, hence:

y = |0.5(x - 1) - 2| + 3

y = |0.5x - 2.5| + 3.

More can be learned about translation concepts at brainly.com/question/4521517

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Answer:

0.206 is rational

Step-by-step explanation:

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Step-by-step explanation:

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