A. False. The data is quantitative because we're dealing with numeric values instead of things like names, colors, etc.
B. False. The row categories are "students" and "teachers"
C. True. This value (2) is in the "teachers" row and "does not wear glasses" column.
D. False. The value 32 represents the number of students who wear glasses. See row1, column1
E. True. Look at the last value of the "teachers" row.
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In summary, the answers are: C and E
Answer:
3 grams
Step-by-step explanation:
We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:
Mass of strip = denisty * area = (1+x)*y*deltax grams
now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!
**pretend ∈ is the sum symbol
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 * 1/3 = 1
Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2
Total mass = mass left + mass right = 1 + 2 = 3 grams
Answer:
1. 1/6x + 5/6
2. 1/3x + 2/3
Step-by-step explanation:
A.9×6x - ( 9×2)=
64x-18 = 0
64x=18
x=18/64 =1/3 =0.3
B. 64x+18=0
64x= -18
x =-18/64
x= -1/3
x = -0.3
Distribute to eliminate the parenthesis
x^2 + 2x + 6x + 12 = 60
Combine like terms
x^2 + 8x + 12 = 60
Subtract 60 from both sides
x^2 + 8x - 48 = 0
Factor the equation
(x+12)(x-4)=0
x+12=0
x+4=0
x= -12 and -4
