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2 years ago

What is the length of one side of 400 sq in

Mathematics

2 answers:

RSB [31]2 years ago

7 0

This is a square, and so all the sides will be the same measurements. Note that you are given an area, so you'll have to root the total area to get a side.

√400 = 20

One side's measurements is 20 in

hope this helps

jek_recluse [69]2 years ago

4 0

It's a square, so

A = b * h or l²

l = √A

-------------------------------

l = √400

l = 20 in

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4x-5=19 please help thank you

frosja888 [35]

Answer:

x=6

Step-by-step explanation:

$4x - 5 = 19$

$4x = 19 + 5$

$4x = 24$

$x = \frac{24}{4}$

$x = 6$

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2 years ago

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The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked

Serggg [28]

Answer:

a) The 99% confidence interval would be given by (24.409;24.979)

b) n=464

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=47-1=46$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$525-2.01\frac{75}{\sqrt{47}}=503.01$

$525+2.01\frac{75}{\sqrt{47}}=546.99$

So on this case the 95% confidence interval would be given by (503.01;546.99)

Part b

The margin of error is given by this formula:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =7 msec, we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{t_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $t_{\alpha/2}=2.01$ from part a, replacing into formula (2) we got:

$n=(\frac{2.01(75)}{7})^2 =463.79 \approx 464$

So the answer for this case would be n=464 rounded up to the nearest integer

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2 years ago

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solmaris [256]

Answer:

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Step-by-step explanation:

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Part B:

For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.

This translates to the right of the graph.

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Alik [6]

Answer:

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Juli2301 [7.4K]

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