All categories

2 years ago

Which of the following is a triangle circumscribed by a circle?

Mathematics

2 answers:

Sidana [21]2 years ago

8 0

Option A is the answer...

lesya [120]2 years ago

4 0

Answer:

Hi again

Its your 3rd option

Step-by-step explanation:

You might be interested in

Suppose that the researchers wanted to estimate the mean reaction time to within 6 msec with 95% confidence. Using the sample st

Lisa [10]

Answer:

a) The 95% confidence interval would be given by (509.592;550.308)

b) n=523 rounded up to the nearest integer

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".

$\bar X=530$ represent the sample mean for the sample

$\mu$ population mean

s=70 represent the sample standard deviation

n=48 represent the sample size (variable of interest)

Confidence =95% or 0.995

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)

The degrees of freedom are df=n-1=48-1=47

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(0.025,47)".And we see that $z_{\alpha/2}=2.01$

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

$530-2.01\frac{70}{\sqrt{48}}=509.692$

$530+2.01\frac{70}{\sqrt{48}}=550.308$

So on this case the 95% confidence interval would be given by (509.592;550.308)

Part b

The margin of error is given by this formula:

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

Assuming that $\hat \sigma =s$

And on this case we have that ME =6msec, 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)

The critical value for 95% of confidence interval is provided, $z_{\alpha/2}=1.96$ , replacing into formula (b) we got:

$n=(\frac{1.96(70)}{6})^2 =522.88 \approx 523$

So the answer for this case would be n=523 rounded up to the nearest integer

3 0

3 years ago

The graph shows how the length of time a bicycle is rented is related to the rental cost. What is the rate of change shown in th

ANTONII [103]

Answer:

A. 2 (I can't really see the graph clearly, I think this is right)

Step-by-step explanation:

(1,4)(2,6)

6-4 =2

2-1 =1

2/1 =2

5 0

3 years ago

Read 2 more answers

Kareem cannot decide which of two washing machines to buy. The seling price of

Phantasy [73]

The first washing machine is 50% off- so it'd be $260 for the final price

The second washing machine was marked down by 20%, so it'd be 416. But then it was marked down another 30% so the final price would be $291

Since the first washing machine was just 50% of $520, it's a better deal rather than 20% of $520, then 30% of $416

I hope my answer was clear enough!

8 0

2 years ago

Read 2 more answers

Evaluate the expression where x= 5 y=2

PtichkaEL [24]

4/7 because the equation would be 2(7-5)
over
5+2
so it would be
2(2)
over
7

and then it would be
4
over
7

4 0

3 years ago

How can i find the area of this triangle?

Ivanshal [37]

To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.

3 0

3 years ago