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4 years ago

A snow globe has a volume of 3349 cm3 what is the radius

Mathematics

1 answer:

Arte-miy333 [17]4 years ago

6 0

Answer: Apply the formula for the volume of a sphere.

Step-by-step explanation:

The volume of a sphere is

We just need to insert

into this to get the volume.

The exact volume is

The approximate volume is

33.5103217

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Jack is a college athlete who has been weighing himself weekly on the same scale in the athletic center for the past few years.

Radda [10]

Answer:

a) Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

b) $\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

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

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

Step-by-step explanation:

Previous concepts

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".

$\bar X= 200$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=3$ represent the population standard deviation

n=9 represent the sample size

Part a

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

Part b

The distribution for the sample mean is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

Part c

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

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

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

8 0

3 years ago

Jason can travel 24 miles in hour. What is his average speed in miles perhour?F. 45 mphG. 49.5 mphH. 55 mphI. 60 mph

coldgirl [10]

Given

Jason can travel 24 3/4 miles in 1/2 hour.

Answer

Distance = 24 3/4 = 99/4 = 24.75 miles

$\begin{gathered} \text{ Spe ed = }\frac{D}{T} \\ =\frac{24.75}{\frac{1}{2}} \\ =2\times24.75=49.5mph \end{gathered}$

8 0

1 year ago

3 complex problems that simplify to 1/4

Contact [7]

Examples are 2-8,4/16,12/48.

3 0

3 years ago

Use the distributive property and common factors to write an expression equivalent to 15+35

Vaselesa [24]

35-15 i think dont hate me if im wrong

8 0

3 years ago

Which equations show you how to find 16-9

Murljashka [212]

I'm not sure what you're asking but maybe, Anything that when divided = 7.

21/3 = 7
49/7 = 7

Or you're asking how to find the end result? 16-9=7 ?

4 0

3 years ago

Read 2 more answers