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3 years ago

How I would I do number 3

Mathematics

2 answers:

Allisa [31]3 years ago

6 0

Find the area of the square, the triangle and the circle at the top....but remember to take half of the area for the circle since its not a whole circle.

ser-zykov [4K]3 years ago

3 0

Start by finding the area of the semicircle, it should be (pi*6^2)/2. Then find the area of the rectangle, it should be 12*7. Then find the base of the triangle, it should be 15 squared minus 12 squared, then unsquare the answer to get the base. The area of a triangle is Base*height/2. Then add them all together, its long but I hope it helps.

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

What value of n solves the equation?

vampirchik [111]

2^n = 1/8

Try each one of the options in turn

The question marks are negatives right?

7 0

3 years ago

Older headstones are often difficult to read due to weathering that has worn away their letters. This is an example of which of

zavuch27 [327]

Answer:

Abrasion

Step-by-step explanation:

Abrasion is the process of scraping or wearing away something. If weathering has worn away the letters, it has been abrasion weathering.

3 0

3 years ago

Lee's muffin mix calls for 2/3 cup of milk, 1/3 Cup of oil and 1/3 cup of sugar.Hos more milk than oil does she need for the muf

marysya [2.9K]

You has some spelling errors, im guessing this is what you ment :

<span>Lee's muffin mix calls for 2/3 cup of milk, 1/3 Cup of oil and 1/3 cup of sugar. How much more milk than oil does she need for the muffin mix

</span><span>Answer : She needs 1/3 cup more milk than oil

to figure this out do 2/3 - 1/3 = 1/3</span>

5 0

3 years ago

In at least one complete sentence, describe in words which numbers are included in this

ikadub [295]

The numbers included in this interval are from -12/17 and on.

5 0

2 years ago