Answer:
Option 3 (C)
Step-by-step explanation:
Given the scores of the students: 3, 4, 4, 5, 5, 6, 8, 10, 10, 12, 15, 18
To find the box plot that represents the data set, we need to find:
Min, Q1, median, Q3, and Max, which are all represented on a box plot.
Min = 3
Max = 18
Median = the average of the 6th and 7th data value = (6+8)/2 = 14/2 = 7
Q1 = the average of the 3rd and 4th data values = (4+5)/2 = 4.5
Q3 = the average of the 9th and 10th data values = (10+12)/2 = 11
The box plot that closely represented all these values is the box plot in option 3.
The picture can be divided into 2 same triangles and one rectangular.
The triangle areas is {1/2 *base * height}*2 (because 2 same triangles)
and you need to sum rectangular area (width * base).
The result will be area of 2 triangle +area of rectangular.
=2(1/2*base of triangle* height)+ (base of rectangular * height)
= (base of triangle* height)+(base of rectangular * height)
=(base of triangle +base of rectangular)*height
b1 is top length
b2 is bottom length, and so
Base of triangle =(b1-b2/2)
Base of rectangular =b2
Height =h
Thus A ={(b1-b2/2)+b2 }*h
A= [(b1+b2)/2]*h
Answer:
6 liters
Step-by-step explanation:
Let x represent the amount of pure concentrate used to make the punch. Then the total amount of concentrate in the punch is ...
0.20·10 +1.00x = 0.50(10+x)
x +2 = 0.5x +5 . . . . . eliminate parentheses
0.5x = 3 . . . . . . . . . . .subtract 2+0.5x
x = 6 . . . . . . . . . . . . . multiply by 2
6 liters of pure concentrate must be added to make a 50% punch.
Answer:
9/12
Step-by-step explanation:
Both 9 and 12 can be divided by 3, so it is not in simplest form.
Answer:
Simplest form = 4<em>z </em>+ 21
Case 1: True, Case II: false and Case III: true
Step-by-step explanation:
18<em>z </em>- 7( -3 + 2z)
= 18<em>z</em> + 21 - 14z
= 18<em>z</em> -14z + 21
= 4<em>z </em>+ 21
So, in the above expression we have two terms. First term is 4z and second term is 21.
So the first case is true. As the expression has two terms.
The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.
The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.
