What is the third quartile of this data set 20,21,24,25,28,29,35,37,39,42,44
dezoksy [38]
Answer:
The third quartile would be <u>39</u>.
Step-by-step explanation:
• Since the numbers are already in order, the next step would be to find the median:
- The <u>median</u> is the middle number; found by ordering all data points and picking out the one in the middle.
• The <u>first quartile</u>, is denoted as Q1 and is the middle number that falls between the smallest value of the data set and the median.
- The first quartile would be 24.
• The <u>third quartile</u>, is denoted as Q3 and is the median of the upper half of the data set.
- The third quartile would be 39.
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We will solve this by suing simultaneous equations,
⇒ 5s + 3j = 87
4s + 2j = 64
Multiply the first equation with 4 and the second one with 5, this is to get one of the values equal so that we can cancel them out,
⇒ (5s + 3j = 87) × 4
(4s + 2j = 64) × 5
∴ ⇒ 20s + 12j = 348
20s + 10j = 320
Subtract both the equations. This is how your result (after subtraction) should look like,
⇒ 2j = 28
∴ ⇒ j = $14
Now replace the value of 'j' in one of the original equations,
⇒ 4s + 2(14) = 64
⇒ 4s + 28 = 64
⇒ 4s = 64 - 28
⇒ 4s = 36
∴ ⇒ s = $9
Therefore, one pair of jeans cost $14 and a shirt costs $9
Hope you understood! Feel free to ask me if you didn't understand a step.
M^2 = 49
M^2 = 7^2
M = -7 and M = 7
<h3>
Answer: Approximately 56 inches</h3>
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Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
25.) D
26.) C
27.) B
I hope this helps love! :)
