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Akimi4 [234]
4 years ago
13

How do I construct a circle circumscribed around a triangle

Mathematics
1 answer:
Helen [10]4 years ago
3 0

Hi,

For any type of triangle, follow these steps:

1). Chose the middle of any side of triangle, and draw a perpendicular on that side, perpendicular has to be on that middle point. Let us say perpendicular is line 1;

2). Chose the middle of any <u>other</u> side of triangle, and draw a perpendicular on that side, perpendicular has to be on that middle point. Let us say perpendicular is line 2.

The intersection of line 1 and line 2 is the center of the circle you are looking for, just pick one of the triangle vertices, the radius of that circle is line between circle center, and that vertex.

When you will draw the circle with a pair of compasses, you will see that circle will "miraculously" go over each vertex of the triangle.

Have you understood ?

Cheers,

Green eyes.

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Answer:

1) No, there is  not  enough evidence to support the claim that the vaccine was effective (P-value=0.104) .

The null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

being the subindex 1 for the experimental group and subindex 2 for the control group.

2) Test statistic z=-1.26

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the vaccine was effective.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0

The significance level is 0.01.

The sample 1 (experimental group), of size n1=100000 has a proportion of p1=0.0002.

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The sample 2 (control group), of size n2=100000 has a proportion of p2=0.0003.

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The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.00026*0.99974}{100000}+\dfrac{0.00026*0.99974}{100000}}\\\\\\s_{p1-p2}=\sqrt{0+0.0000000025}=\sqrt{0.0000000051}=0.000071

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z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.00009-0}{0.000071}=\dfrac{-0.00009}{0.000071}=-1.26

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P-value=P(z

As the P-value (0.104) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

There is  not  enough evidence to support the claim that the vaccine was effective.

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➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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