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elixir [45]
1 year ago
9

The stem-and-leaf plot shows the test scores for a chemistry class. How many students had a score greater than 90 points? Stem a

nd leaf plot. Vertical line separates each stem from its first leaf. First row. Stem 5. Leaf 2. Second row. Stem 6. Leaves 4,6. Third row. Stem 7. Leaves 0,1,4,6,8,8,8. Fourth row. Stem 8. Leaves 0,1,2,3,4,6,8,8. Fifth row. Stem 9. Leaves 1,2,3,4,6,7. Six row. Stem 10. Leaf 0. Key. 7 vertical line 4 equals 74.
Mathematics
1 answer:
stiks02 [169]1 year ago
8 0
<h3>Answer:  7</h3>

=========================================================

Explanation:

The key states  7 \big| 4= 74

It means that a stem of 7 and leaf of 4 combine to the value 74

We're interested in scores greater than 90, so we'll be focusing on the stems of 9 and 10 only

  • Stem 9. Leaves 1,2,3,4,6,7.
  • Stem 10. Leaf 0

Stem9 has 6 leaves while stem10 has 1 leaf. That's 6+1 = 7 leaves total, which means we have 7 scores above 90. If there was a leaf of 0 for stem9, then we'd have to ignore it (since it forms the score 90). But we don't have to worry about that for this case.

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Answer:

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Answer:

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15 points!!! GEOMETRY help please!!<br> Questions attached!
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3. Look at the picture.

We have the right angle triangle. We know the sum of measures of angles in triangle is equal 180°. Therefore:

x^o+90^o+43^o=180^o\\\\x^o+133^o=180^o\ \ \ |-133^o\\\\x^o=47^o

Answer:\ \boxed{47^o}

4.
Look at the picture.

Use Pythagorean theorem:

x^2+14^2=(10+x)^2\\\\x^2+196=10^2+2\cdot10\cdot x+x^2\ \ \ \ |-x^2\\\\196=100+20x\ \ \ |-100\\\\20x=96\ \ \ |:20\\\\x=4.8

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5.
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6.
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m=\dfrac{y_2-y_1}{x_2-x_1}\\\\O(2;\ 6)\to x_1=2;\ y_1=6\\\\P(4;\ 3)\to x_2=4;\ y_2=3\\\\m=\dfrac{3-6}{4-2}=\dfrac{-3}{2}

We have: OP:\ y=-\dfrac{3}{2}x+b

Now, we must find the slope of the line perpendicular to the line OP.
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So. We have the answer! :)

Answer:\ \boxed{y=\dfrac{2}{3}x+\dfrac{1}{3}}

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