Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a box-and-whisker plot. List the maximum, minimum, and quartiles
gulaghasi [49]
Answer:
Step-by-step explanation:
<h3>Given</h3>
- 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7
<h3>To find</h3>
- List 5 points of box and whisker plot
<h3>Solution</h3>
<u>Step 1</u>
<u>Putting the data in the order from smallest to greatest:</u>
- 0, 1, 4, 5, 6, 7, 8, 9, 9, 9, 11
<u>Step 2</u>
- The minimum and maximum = 0 and 11
- Medium quartile is the middle number ⇒ Q2 = 7
- First quartile = middle of the lower part ⇒ Q1 = 4
- Third quartile = middle of the highest part ⇒ Q3 = 9
<u>So the 5 numbers are:</u>
Answer:
x-2x = -3 and x = 3
Step-by-step explanation:
Given the expression
y=x+5.... 1
y-2x=2.... 2
Substituting the first equation into the second we will have;
From 2;
y -2x = 2
x+5-2x = 2
x-2x +5 = 2
x-2x = 2-5
x-2x = -3
-x =-3
x =3
Hence the required equation is x-2x = -3 and x = 3
Answer:
m∠2 = 118, and m∠3 = 31
Step-by-step explanation:
The 2 opposite angles of a rhombus are equal.
Angle 1 and Angle 2 are opposite to each other. Since Angle 1 is 118, angle 2 is also 118.
Now looking at the bottom triangle in the rhombus, the two sides are equal (given by 2 lines). Hence, the 2 opposite angles are equal. Since we know 3 angles of a triangle add up to 180 degrees, we can write: (let angle 3 be x):
x + x + 118 = 180
2x = 180 - 118
2x = 62
x = 62/2
x = 31
So m∠2 = 118, and m∠3 = 31
Yes that's AAS because the two triangles have two angles in common and a side opposite to 30 degrees angle.
