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8_murik_8 [283]
1 year ago
9

A biology teacher has 555 different pets they keep in their classroom. For an upcoming holiday break, the teacher will send the

pets home with students. Suppose that 161616 of the teacher's 757575 students volunteer to take a pet home, and the teacher will randomly select 555 of those volunteers to each take 111 pet home. The permutation formula n\text{P}rnPrn, start text, P, end text, r can be used to find the number of unique ways the teacher can distribute pets to the volunteers.
Mathematics
1 answer:
oksian1 [2.3K]1 year ago
3 0

Answer:

who the hell has 555 diffent pets

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A manager wants to build 3-sigma x-bar control limits for a process. The target value for the mean of the process is 10 units, a
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Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

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Standard deviation = 6

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so, Lower limit would be

\bar{x}-3\dfrac{\sigma}{\sqrt{n}}\\\\=10-3\times \dfrac{6}{\sqrt{9}}\\\\=10-6\\\\=4

Upper limit would be

\bar{x}+3\dfrac{\sigma}{\sqrt{n}}\\\\=10+3\times \dfrac{6}{\sqrt{9}}\\\\=10+6\\\\=16

Hence, Third option is correct.

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\frac{23}{-4}=-5\frac{3}{4}

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If ∠BAC = 17° and ∠CED = 17° are the two triangles, ΔBAC and ΔCED similar? If so, by what criterion?
Alborosie

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar ⇒ answer D

Step-by-step explanation:

Let us revise the cases of similarity

1. AAA similarity : two triangles are similar if all three angles in the first

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2. AA similarity : If two angles of one triangle are equal to the

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3. SSS similarity : If the corresponding sides of the two triangles are

   proportional, then the two triangles are similar.

4. SAS similarity : In two triangles, if two sets of corresponding sides  

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In the two triangles BAC and CED

∵ m∠BAC = 17°

∵ m∠CED = 17°

∴ m∠BAC = m∠CED

But we need another pair of angles to prove that the two triangles are

similar by AA similarity criterion

<em>OR </em>

The lengths of sides BA , CA and CE , DE to show that

\frac{BA}{CE}=\frac{CA}{DE} = constant ratio and prove that the

two triangles are similar by SAS similarity criterion

So it is not possible to prove that the two triangles are similar

No, not possible to tell that the the two triangles, ΔBAC and ΔCED

are similar

Learn more:

You can learn more about triangles in brainly.com/question/4354581

#LearnwithBrainly

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