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4 years ago

How long should the wooden frame be (use 3.14 for pi)

Mathematics

1 answer:

scoundrel [369]4 years ago

6 0

C=2πr
The C stands for circumference
the π is Pi (3.14)
and r is the radius (length of half a circle)

Since the sides are 10 ft you multiply that by 2 to get the length of both sides which gives you 20 feet.

Then to find the circle, since both are half circles. You can just do the normal circumference equation and you will end up with the same answer.

For example in this problem: this problem gives you the diameter but you need the radius of the circle. C=2(π)(1.5)

C=9.42 < this is the circumference of the circle.

Then you add the sides of the table which are 20 feet.

So the final answer is 29.42 feet.

You might be interested in

Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a

tigry1 [53]

Answer:

$SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58$

$ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073$

$\bar X - ME = 237- 14.073 = 222.927$

$\bar X + ME = 237+ 14.073 = 251.073$

$n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238$

So the answer for this case would be n=238 rounded up to the nearest integer

Null hypothesis: $\mu \geq 247$

Alternative hypothesis: $\mu$

$z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165$

$p_v =P(z$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.

Step-by-step explanation:

For this case we have the following data given:

$\bar X =237$ represent the sample mean

$\sigma = 47$ represent the population deviation

$n =30$ represent the sample size selected

$\mu_0 = 247$ represent the value that we want to test.

The standard error for this case is given by:

$SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58$

For the 90% confidence the value of the significance is given by $\alpha=1-0.9 = 0.1$ and $\alpha/2 = 0.05$ so we can find in the normal standard distribution a quantile that accumulates 0.05 of the area on each tail and we got:

$z_{\alpha/2}= 1.64$

And the margin of error would be:

$ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073$

The confidence interval for this case would be given by:

$\bar X - ME = 237- 14.073 = 222.927$

$\bar X + ME = 237+ 14.073 = 251.073$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

Replacing into formula (b) we got:

$n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238$

So the answer for this case would be n=238 rounded up to the nearest integer

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is lower than 247 pounds, the system of hypothesis would be:

Null hypothesis: $\mu \geq 247$

Alternative hypothesis: $\mu$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165$

P-value

Since is a left tailed test the p value would be:

$p_v =P(z$

Conclusion

5 0

3 years ago

If my friend gives me $1 to buy candy how much would I pay her back?

ANTONII [103]

If your friend gave you $1 you would most likely only need to pay her back $1 unless you're talking about interest.

7 0

3 years ago

13,501 to the nearest ten thousand

Aliun [14]

The answer rounds up to 14,000 because it is more than half of the numbers 13,000 and 14,000.

6 0

3 years ago

Read 2 more answers

the table shows the costs of different size jars of peanut butter. Which of the jars have the lowest unit rate?

Vladimir [108]

Answer:

Step-by-step explanation:

6 0

3 years ago

Which expression is equivalent to ? Assume

Lady_Fox [76]

we have

$\sqrt{8x^{7}y^{8}}= ({8x^{7}y^{8}})^{\frac{1}{2}}=(2^{3})^{\frac{1}{2}} (x^{7})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}\\=(2x^{3}y^{4})(2x)^{\frac{1}{2}}=(2x^{3}y^{4})\sqrt{2x}$

therefore

<u>the answer is the option </u>

$(2x^{3}y^{4})\sqrt{2x}$

6 0

3 years ago

Read 2 more answers