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2 years ago

Find another way to name the plane M shown in the figure

Mathematics

2 answers:

ivolga24 [154]2 years ago

6 0

Answer:

Plane RTS

Step-by-step explanation:

goldfiish [28.3K]2 years ago

3 0

Answer: Choice D) Plane PQY

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Explanation:

By definition, a plane is formed by 3 non-collinear points. The three points cannot all be on the same line. If you had 3 points on the same line, then infinitely many planes are possible. Imagine the plane spins around the line as a sort of fan blade.

Choice A can be ruled out because points R, T, and S are all on the same line. They are collinear points. Using these three points is not enough to properly identity/label this plane, since infinitely many other planes could result.

Choices B and C can also be ruled out for similar reasons.

Choice D is correct because points P, Q, and Y are all in plane M, and also because they are not all on the same line.

Side note: another way to phrase "a plane is formed by 3 non-collinear points" is to say "a plane is formed by 3 points that form a triangle".

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saveliy_v [14]

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2 years ago

An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 75 type K batteries and a sample of 46

lorasvet [3.4K]

The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:

|t| < 1.9801 -> do not reject the null hypothesis.

|t| > 1.9801 -> reject the null hypothesis.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

We have a two-tailed test, as we are testing if the mean is different of a value.

Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:

|t| = 1.9801.

Hence the decision rule is:

|t| < 1.9801 -> do not reject the null hypothesis.

|t| > 1.9801 -> reject the null hypothesis.

More can be learned about the t-distribution in the test of an hypothesis at brainly.com/question/13873630

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11 months ago

Which number produces a rational number when added to 0.25

mina [271]

Answer:

$C)~ \dfrac 29$

Step-by-step explanation:

$\text{The sum of two rational numbers is rational.}$

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1 year ago

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pashok25 [27]

Answer:

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Step-by-step explanation:

Multiply 3 by 4

12x^y-4⋅3

12x^y-12

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