Answer:
x = 27/8
Step-by-step explanation:
We can write a ratio to solve
x 3
------- = ----------
x+9 11
Using cross products
x*11 = 3(x+9)
11x = 3x+27
Subtract 3x from each side
8x = 27
8x/8 = 27/8
x = 27/8
This isn't math but okay. The independent variable is what you CHANGE, the dependent variable is what you MEASURE. (you can change/tweak any of my answers as you please)
1. DV = amount of noise in the room
IV = the number of speakers
2. DV = the rate of cooling of a glass of water
IV = amount of ice
3. DV = amount of sunlight absorbed
IV = color of clothing
4. DV = the force needed to lift the block
IV = weight of the block
5. DV = amount of space needed to store the object
IV = volume of an object
6. DV = time needed to cook something
IV = temperature of the grill
7. DV = sweetness of the baked cookies
IV = amount of sugar in the mix
8. DV = amount of force needed to break the rope
IV = thickness of rope
9. DV = volume of water traveling down the river
IV = amount of rain
10. DV = softness of the ground
IV = amount of rain
11. DV = amount of space needed
IV = temperature of a substance
Answer:
All the answers are given below.
Step-by-step explanation:
(i) (x+3)(x-3) =x² -3² =x² -9 {Since (a+b)(a-b) =a² -b²}
(ii) (x²-3)(x²+3) =(x²)² -3² =
{Since (a+b)(a-b) =a² -b²}
(iii) 
(iv) (x-3)(x²-9)(x+3) =(x²-9)(x²-9)=(x²-9)²=
{Since, (a-b)² =a²-2ab+b²}
(v) (x²+y²)(x²-y²) = (x²)² -(y²)² =
(vi) (x²+y²)² =
{Since (a+b)² =a²+2ab+b²}
(vii) (x-y)²(x+y)² =(x²-y²)² =
{Since (a-b)² =a²-2ab+b² and (a+b)(a-b) =a²-b²}
(viii) (x-y)²(x²+y²)²(x+y)² =(x²+y²)²(x²-y²)² =
(Answer)
Answer:
1/8
Step-by-step explanation:
This is actually pretty easy.
First, you have the sample of the children.
You know that the family with 3 children, can only have the following children:
MMM: all males
MMF: 2 males, 1 female
MFF: 1 male, 2 females
MFM: 2 males, 1 female (different order)
FMM: 1 female, 2 males
FFM: 2 females, 1 male
FMF: 2 females, 1 male
FFF: 3 females
If you count all of these possibilities, we have 8 possible cases of family with the childrens.
In only one of them, we have only females and no males, which is the last one, all 3 females.
Therefore, the probability to select a family with no male, is only 1/8.
