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anygoal [31]
3 years ago
5

Choose the correct correspondence O <-> Options 1.D 2.O 3.K

Mathematics
2 answers:
Umnica [9.8K]3 years ago
5 0

Answer:

O

Step-by-step explanation:

Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.

Here Angle O is equal to Angle O as they are vertical angles across a vertex.

Oxana [17]3 years ago
5 0

Answer:

The correct option is 2.

Step-by-step explanation:

From the given figure it is clear that the lines DE║RK, in triangle ODE and triangle OKR,

\angle DOE=\angle KOR                         (Vertical opposite angles)

\angle ODE=\angle OKR                         (Alternate interior angles)

\angle OED=\angle ORK                         (Alternate interior angles)

By using AA property of similarity,

\triangle DOE\sim \triangle KOR

D is correspondence to K, O is correspondence to O, E is correspondence to R.

O ↔ O

Therefore the correct option is 2.

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Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of
Misha Larkins [42]

This question is incomplete, the complete question is;

Assume that body masses of Goldfinch birds follow a normal distribution, with a standard deviation equal to 0.04 oz. An ornithologist who would like to make some inference about the average body mass of the Goldfinch birds. In particular, at a significance level of 0.01, she would like to test the null hypothesis H₀: Average body mass of the Goldfinch birds is 0.5 oz, against the alternative claim that average body size is less than 0.5 oz.

      Assume that a random sample of 4 Goldfinch birds are going to be used to test the above hypothesis. Compute the largest value of the sample mean, that will allow the experimenter reject the null and prove the alternative at significance level 0.01. For this problem, make sure that your solution includes all steps of your computation. You will not earn points if you just use a formula

Answer: the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

Step-by-step explanation:

Let us consider testing a hypothesis about a population mean with population standard deviation that is known,

Let the average body mass of the Goldfinch bird be μ^μ

Now our hypotheses are will be;

H₀ : μ = 0.5    and

H₁ : μ < 0.5

For the test, we shall use the z statistic which will be

z = (x"-μ)/(σ/√n)

Now given that;

σ = 0.04 and n = 4  

sample mean x" = ?

Now in order to be able to reject the null hypothesis, the p-value should be ≤ α = 0.01.

so to find the largest value of sample mean, we will use the maximum of p-value that is 0.01.

For a p-value = 0.01 at the lower tail (which is the percentile for z),

the corresponding z will be -2.33

so we substitute our values into our formula

z = (x"-μ)/(σ/√n)

z(σ/√n) = (x"-μ)

-2.33(0.04/√n) = (x"-0.5)

-0.0466 = x" - 0.5

x" = 0.5 - 0.0466

x"= 0.4534

therefore the largest value of the sample mean that will enable the experimenter to reject the null hypothesis is 0.4534 oz.

4 0
2 years ago
A wildlife service wanted to estimate the number of alligators in a river so they tagged 90 alligators and released them back in
lilavasa [31]
You can solve this with a proportion. If you know that 23 tagged alligators were in a 200 alligator sample, there are 90 tagged alligators in the entire river. Written otherwise:

23/200 = 90/x    

and solve for x:

x = 782.608...

So the "best estimate" would be around 783 alligators. Hope that helps! If you liked this answer please rate it as brainliest!! thank you!!!
5 0
3 years ago
Find the value of x. (Type an integer or decimal.)
SOVA2 [1]

Answer:

70

Step-by-step explanation:

An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.

we are given the minor arc ( 110 ) however we are not given the major arc.

Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360

Thus, major arc = 360 - 110 = 250

Now that we have identified the major and minor arc we can find x

Recall that x = 1/2 ( major arc - minor arc )

Thus, x = 1/2 ( 250 - 110 )

250 - 110 = 140

140 / 2 = 70

Hence, x = 70

6 0
2 years ago
WILL MARK YOU BRAINLIEST!!!!!!
My name is Ann [436]

Answer:

y = 88

Step-by-step explanation:

Don't worry about the other stuff, just worry about what's in the triangle that has Y.

53°, 39°, and y°

the sum should be equal to 180 so add 53 adn 39 and subtract it from 180.

180 - (53 + 39) = y

180 - 92 = y

88 = y

Hope this helped! Pls Brainliest my answer! It would help amd mean a lot! ;)

6 0
3 years ago
Define a variable, write an equation and SOLVE the equation. Sandy had
notka56 [123]
The answer is 21 because 189 divided by 9 is 21
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2 years ago
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