Daisy measured the heights of 20 plants.
1 answer:
Answer:
- 30.5 cm
Step-by-step explanation:
<em>Refer to attached</em>
- Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
- 0 <h < 10 >> 1 >> 5 >> 5
- 10 <h < 20 >> 4 >> 15 >> 60
- 20 <h < 30 >> 7 >> 25 >> 175
- 30 <h < 40 >> 2 >> 35 >> 70
- 40 <h < 50 >> 3 >> 45 >> 135
- 50 <h < 60 >> 3 >> 55 >> 165
Sum of frequencies = 20
Sum of frequency x midpoint product = 610
<u>Mean height </u>
- 610/20 = 30.5 cm
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For number 4, we'll need a few facts to answer our question:
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:
, or 
Solving for x:
So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
- Two supplementary angles add up to 180°, forming a straight angle (the angle formed by a straight line)
- The interior angles of a triangle add up to 180°
Given those, we notice that the one unlabeled angle in the figure shares a line with 156°. In fact, this angle is <em>supplementary</em> to 156°, which means that the two add up to 180°. To find the measure of this mystery angle, we can subtract 156 from 180 to obtain 180 - 156 = 24°.
Now, let's look at the triangle. We already know the measure of one of the angles is 24°, and the other two are x°. What else do we know about the angles of a triangle? From the two facts listed at the beginning, we know their interior angles add up to 180°, so let's use that fact to solve for x.
We have:
Solving for x:
So, x = 78°.
For question 5, the <em>definition</em> of a pair of parallel lines is a pair of lines which <em>never intersect</em>, so "always" would be the appropriate answer.
Answer:
i.e answer A.
Step-by-step explanation:
This question involves knowing the following power/exponent rule:
Next, when a power is on the bottom of a fraction, if we want to move it to the top, this makes the power become negative.
so the y-term, when moved to the top of the fraction, becomes:
So the answer is: