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3 years ago

Which expression can be written as kv3 , where k is an integer?

Mathematics

1 answer:

zvonat [6]3 years ago

3 0

Answer:

B. √108 = 6√3

Step-by-step explanation:

The simplified forms of these roots are ...

A. √63 = 3√7

B. √108 = 6√3 ⇔ your desired form

C. √1144 = 2√286

D. √150 = 5√6

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A new fertilizer was applied to the soil of 146 bean plants. 23% showed increased growth. Find the margin of error and 95% confi

USPshnik [31]

Answer:

The significance level for this case would be $\alpha=1-0.95=0.05$ and the critical value for this case would be:

$z_{\alpha/2}=1.96$

The margin of error is given by:

$ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing we got:

$ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683$

And the margin of error for this case would be $ME = 0.07$

Step-by-step explanation:

For this case we have the following dataset given:

$n= 146$ represent the sample size

$\hat p =0.23$ represent the estimated proportion of interest

$Conf=0.95$ represent the confidence level

The significance level for this case would be $\alpha=1-0.95=0.05$ and the critical value for this case would be:

$z_{\alpha/2}=1.96$

The margin of error is given by:

$ME = z_{\alpha/2} \sqrt{\frac{\hat p (1-\hat p)}{n}}$

And replacing we got:

$ME = 1.96 \sqrt{\frac{0.23*(1-0.23)}{146}} =0.0683$

And the margin of error for this case would be $ME = 0.07$

4 0

3 years ago

Write 85% as an frotion in simpfulest form

luda_lava [24]

85% is the same as 85/100.

85/100 means you can take a 5 out.

17/20 is completely simplified.

Hope this helps!

Answer: 17/20

7 0

2 years ago

Determine the equation of the line given by the graph.

PolarNik [594]

Hello!

I was going to try to use the slope formula, and solve for the y-intercept, but the given graph is hard to distinguish accurate ordered pairs. So, we will find the equation with the graph instead.

Looking at the graph, we can see that the y-intercept is negative. Also, we can also determine that each square represents one unit. So, the y-intercept has to be -3/2 or -1.5. That removes the choices A and C because the y-intercept is in between the values of -1 and -2.

Secondly, the graph has a positive slope. Why? When the x-values increase, the y-values increase. Also, when the x-values decrease, the y-values also decrease. This tells us that the graph has a positive slope (this doesn't remove any choices, but it helps to distinguish which graph has a positive or negative slope).

Finally, we know that if the slope is greater than one, then it is steeper (m > 1). But, if it's less than one, then it becomes less steep (0 < m < 1). Looking at the graph, the graph looks relatively steep (graphing the equations y = 5/7 x - 3/2 and y = 7/5x - 3/2 can help you see the differences between them).

Therefore, the equation of the line given by the graph is choice D, y = 7/5 x − 3/2.

3 0

4 years ago

1.7(10^−13)(3.5)(10^25)

liq [111]

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