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atroni [7]
3 years ago
9

A small group of seven students evaluated Professor Zanylo's lectures. On a scale of 1 to 10, the scores the students registered

were 4, 5, 7, 8, 9, 9, 10. Professor Zanylo's mode score was ________ and his median score was ________.
Mathematics
2 answers:
Rasek [7]3 years ago
7 0
<span>Zanylo's mode score was<u><em> 9 </em></u>and his median score was<u><em> 8.

</em></u>
<em>Mode: most frequent number
Median: Middlemost number</em></span>
murzikaleks [220]3 years ago
5 0
The mode is defined as the number that appears most within a given sequence.
The median is the middle number of a given sequence listed from least to greatest.
Let's look for the mode.
We have:
4
5
7
8
9, 9
10.
9 appears the most, so the mode is 9.
Let's find the median now.
4, 5, 7, 8, 9, 9, 10.
Cross out the smallest number with the largest number until we can no longer do so.
5, 7, 8, 9, 9.
7, 8, 9.
8.
Your median is 8.
Your mode is 9.
I hope this helps!
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angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
4 years ago
Simplify 2(2x+6)+6(2x+2)+5=16x+30
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Answer:

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Step-by-step explanation:

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