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4 years ago

What does 5.102 round to?

Mathematics

2 answers:

max2010maxim [7]4 years ago

5 0

5.102 rounds to 5.10

natulia [17]4 years ago

4 0

ANSWER:

It rounds to 5.10

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In a factory a test run over 400 computer chips resulted in 8 defective one how many possible out comes are there

aleksandrvk [35]

Answer:

392

Step-by-step explanation:

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3 years ago

If g(x) = 3^(2x) then g'(2) is?<br><br>A. 81<br>B. 162ln3<br>C. 81/ln3<br>D. 6/ln3<br>E. 6lin3

Alina [70]

$\bf a^{u(x)}\qquad \qquad \cfrac{df}{dx}=\cfrac{df}{du}\cdot \cfrac{du}{dx}\\\\
-----------------------------\\\\
g(x)=3^{2x}\qquad \qquad u=2x
\\\\\\
\cfrac{dg}{dx}=3^uln(3)\cdot \cfrac{du}{dx}\implies \cfrac{dg}{dx}=3^{2x}ln(3)\cdot 2
\\\\\\
g'(2)=3^{2\cdot 2}ln(3)\cdot 2\implies g'(2)=2\cdot 81ln(3)\implies g'(2)=162ln(3)$

5 0

3 years ago

An Austrian study was completed to determine if untrained sea lions and sea lionesses could follow various experimenter-given cu

Sholpan [36]

Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

<h3>What are the hypothesis?</h3>

At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

$H_0: p \leq 0.5$

At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

$H_1: p > 0.5$

<h3>Test statistic</h3>

The <em>test statistic</em> is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

For this problem, the parameters are:

$n = 48, \overline{p} = \frac{37}{48} = 0.7708, p = 0.5$

The value of the <em>test statistic</em> is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.7708 - 0.5}{\sqrt{\frac{0.5(0.5)}{48}}}$

$z = 3.75$

Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is $z^{\ast} = 1.645$ .

Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.

To learn more about the z-distribution, you can take a look at brainly.com/question/16313918

3 0

3 years ago

Prove weather or not the pair of ratios are equivalent the ratios are 6:11 and 42:88

vesna_86 [32]

No they are not equivalent to one another because in order to get from 6to 42 you have to multiply by 7 but to get from 11to 88you have to multiply by 8 . In order for to ratio to equivalent they must have the same factors

6 0

3 years ago

There are 1,653 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will b

Dmitrij [34]

There would need to be 98 .
The exact answer is <span>97.41</span>

4 0

4 years ago