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4 years ago

A circle has a diameter with endpoints at (10,8) and (5,-4) what is the circumference of the circle

Mathematics

1 answer:

mel-nik [20]4 years ago

4 0

<u>Answer:</u>

The circumference of circle is 40.82 units.

<u>Explanation:</u>

The end points of diameter lie on circle. since the coordinates of end points of diameter may be evaluated using

d= $\sqrt{(10-5)^ 2-(8-(-4))^ 2}$

= $\sqrt{25+144}$

= $\sqrt{169}=13$

therefore d = 13 .

The formulae of circumference comprises the length of radius of circle, hence find the radius as half of diameter length r=d/2 = 13/2 = 6.5 ; circumference of circle = $2\pi r$

= 2x3.14xr

= 13x3.14 units.

=40.82 units

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A student in a wildlife biology class wants to determine the abundance of a rodent species in a local nature preserve, divided i

LekaFEV [45]

Answer:

c. Cluster sampling

Step-by-step explanation:

Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.

5 0

3 years ago

Read 2 more answers

Jane move from my house with 78 ft.² of closet space to an apartment with 49.14 ft.² of closet space what is the percentage decr

natulia [17]

Answer:

37%

Step-by-step explanation:

First to find the percent of decrease you have subtract the largest number by the smaller number. So 78 ft² - 49.14 ft². This would get you to 28.86 ft². Then you would divide the original number, (in this case 78) by the difference (28.86). Once you divide you get .37, you will have to multiply by 100 to get the percent. So the percent of decrease is 37%.

4 0

4 years ago

A simple random sample from a population with a normal distribution of 98 body temperatures has x =98.90 °F and s =0.68°F. Const

Ludmilka [50]

Answer:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

Step-by-step explanation:

1) Data given and notation

s=0.68 represent the sample standard deviation

$\bar x =98.90$ represent the sample mean

n=98 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=98-1=97$

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 values.

The excel commands would be: "=CHISQ.INV(0.05,97)" "=CHISQ.INV(0.95,97)". so for this case the critical values are:

$\chi^2_{\alpha/2}=120.990$

$\chi^2_{1- \alpha/2}=75.282$

And replacing into the formula for the interval we got:

$\frac{(97)(0.68)^2}{120.990} \leq \sigma \leq \frac{(97)(0.68)^2}{75.282}$

$0.371 \leq \sigma^2 \leq 0.596$

Now we just take square root on both sides of the interval and we got:

$0.609 \leq \sigma \leq 0.772$

And the best conclusion would be:

D. This conclusion is safe because 1.40 °F is outside the confidence interval.

3 0

3 years ago

Hallar la ecuación de la recta qué pasa por el punto (2,3) y cuya abscisa en el origen es el doble que la ordenada en el origen

Verdich [7]

Sería 5 pues porque yo solo los agregaría

5 0

2 years ago

Anyone know this geometry question?

Black_prince [1.1K]

I'd start by recognizing that the smaller triangle, at the top, is similar to the larger (whole) triangle.

Then:

a b
------- = ---------
15+a 20+b

Then 20a + ab = 15b + ab. Subtract ab from both sides. We then get 20a = 15b. Note also that

40 b
----- = ----------
60 b+20

so that 40b + 800 = 60b, or 800 = 20b, or b = 40.

If b = 40, then we can find a from the relationship 20a = 15b found earlier. With b=40, 20a = 15(40) = 600, so a = 30

a = 30
b= 40

8 0

4 years ago