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Artist 52 [7]
3 years ago
6

KHAN ACADEMY! PLEASE HELP!

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
3 0

Answer:

60 degrees

Step-by-step explanation:

First find angle I by using the sum of the angles in a triangle is 180 degrees

59+61+I = 180

120 + I = 180

I = 180-120

I =60

<I = <x since they are corresponding angles

<x = 60 degrees

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Area= base + base / 2 then multiply the height.

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Evaluate the series 4+2+1+1/2+1/4 to s10
stiks02 [169]

Answer:

<u>The correct answer is 13.75</u>

Step-by-step explanation:

4+2= 6

6+1=7

6+7= 13

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8 0
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What is the simplified form of 15x^8/24y^5 divided by 4x^4/8y^2
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(24y^5)/(15x^8) * 4x^4/(8y²) 

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3 years ago
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The following data represent the pulse rates? (beats per? minute) of nine students enrolled in a statistics course. Treat the ni
charle [14.2K]

Answer:

(a)77.4bpm

(b)Mean of Sample 1 = 70.3 beats per minute.  

Mean pulse of sample 2 = 70 beats per minute.

(c)

  • The mean pulse rate of sample 1 underestimates the population mean.
  • The mean pulse rate of sample 2 underestimates the population mean.

Step-by-step explanation:

(a)Population mean pulse.

The pulse of the nine students which represent the population are:

  • Perpectual Bempah      64
  • Megan Brooks               77
  • Jeff Honeycutt               89
  • Clarice Jefferson           69
  • Crystal Kurtenbach       89
  • Janette Lantka              65
  • Kevin McCarthy             88
  • Tammy Ohm                  69
  • Kathy Wojdya                 87

\text{Population Mean} =\dfrac{64+77+89+69+89+65+88+69+87}{9} \\=\dfrac{697}{9} \\\\=77.44

The population mean pulse is approximately 77.4 beats per minute.

(b)Sample 1: {Janette,Clarice,Megan}

  • Janette: 65bpm
  • Clarice: 69bpm
  • Megan: 77bpm

Mean of Sample 1

\text{Sample 1 Mean} =\dfrac{65+69+77}{3} \\=\dfrac{211}{3} \\\\=70.3

Sample 2: {Janette,Clarice,Megan}

  • Perpetual: 64bpm
  • Clarice: 69bpm
  • Megan: 77bpm

Mean of Sample 2

\text{Sample 2 Mean} =\dfrac{64+69+77}{3} \\=\dfrac{210}{3} \\\\=70

The mean pulse of sample 1 is approximately 70.3 beats per minute.  

The mean pulse of sample 2 is approximately 70 beats per minute.

(c)

  • The mean pulse rate of sample 1 underestimates the population mean.
  • The mean pulse rate of sample 2 underestimates the population mean.
7 0
3 years ago
Help!In the figure below, triangle ABC is an equilateral triangle, and quadrilateral DEFB is a square.
Dafna11 [192]
m\angle ABD=m\angle CBD-m\angle ABC\\&#10;m\angle CBD=90\\&#10;m\angle ABC=60\\&#10;m\angle ABD=90-60=30\Rightarrow B
8 0
4 years ago
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