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kondor19780726 [428]
2 years ago
9

I'LL MARK BARINLEST!!!(With the help of the drawing tool, create a box plot using the data in Table 1.)

Mathematics
1 answer:
Zarrin [17]2 years ago
7 0

Answer:

<u>Median</u>

Order the data values from smallest to largest:

55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, <u>61, 61</u>, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67

As there is an even number of values, the median is the mean of the middle two values ⇒ Median = 61

<u>Quartiles</u>

55, 57, 57, 57, 58, <u>58, 58</u>, 59, 59, 60, 61, 61 || 61, 62, 62, 62, 63, <u>63, 64</u>, 64, 65, 65, 66, 67

The first quartile is the median of the data points to the left of the median  ⇒ first quartile = 58

The third quartile is the median of the data points to the right of the median  ⇒ first quartile = 63.5

<u>Five-number summary</u>

  • Minimum:  55
  • First quartile Q1:  58
  • Median Q2: 61
  • Third quartile Q3:  63.5
  • Maximum:   67

Draw a box from the first quartile (58) to the third quartile (63.5)

Add the median (61) as a the vertical line through the box.

The whiskers are horizontal lines from each quartile to the minimum (55) and maximum values (67).

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The sum of 5 consecutive integers is 205. What is the third number?
Elza [17]
If 5 consecutive integers is 205,

then a + b + c + d + e = 205
 but also, each integer is separated  by a difference of 1

⇒  a + (a + 1) + (a + 2) + (a + 3) + (a + 4) = 205
⇒  5a + 10 = 205
⇒            5a = 195
⇒               a = 39

∴ third term = 39 + 2
                     = 41
7 0
3 years ago
Find the values of x when y=1
kirill [66]

Answer:

x=1+\sqrt{5}, 1-\sqrt{5}

Step-by-step explanation:

  1. x^{2} -2x-4=0
  2. (x-1)^{2} -1-4=0
  3. (x-1)^{2} -5=0
  4. (x-1)^{2} =5
  5. x-1=\sqrt{5} ,-\sqrt{5}
  6. x=1+\sqrt{5} , 1-\sqrt{5}

<u>FINAL ANSWER</u>

x=1+\sqrt{5} , 1-\sqrt{5}

<u><em>In Decimal Form (Rounded to 3 significant figures)</em></u>

<em>x≈-1.24, 3.24</em>

6 0
4 years ago
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MariettaO [177]

Answer:

y = 3x + 8

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

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Area of plate, A = πr²

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dA/dt = 2 x 3.14 x 50 x 0.01

dA/dt = 3.14 cm²/min

Thus, the increase of rate of area is 3.14 cm²/min.

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