Answer:
It would be the first one (y-2=1/3(x-2))
Step-by-step explanation:
The first one is the same function as y=x(1/3)+(1+1/3) which is the same function as the photo.
Answer:
0.0023 = 0.23% probability that all 5 balls selected will be the same color
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the balls are selected is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

Desired outcomes:
Either 5 amber from a set of 6, or 5 blue from a set of 5. So

Total outcomes:
5 balls selected from a set of 6 + 5 + 4 = 15. So

Probability:

0.0023 = 0.23% probability that all 5 balls selected will be the same color
Answer:
Factors that will affect the weight of box and those which will not affect the weight have been described below under different headings-
Step-by-step explanation:
Factors affecting weight of the box -
- Size - the larger the will be the size of the box, more will be its weight.
- Material - the material used to make the box will also influence the weight because if lighter material is used then the weight of the box will be less as compared to the heavier material.
- Contents inside the box - if there are more contents filled in the box then it will increase the weight of box.
Factors that will not affect the weight of box -
- Colour - whatever be the colour of box, weight will not be influenced by it.
- Shape - the shape will also have no effect on weight cause it only denotes how the material is arranged to make the box.
- Design/Graphics - designs made on the box to make it more attractive will also have no effect on the weight of the box.
Answer:

Step-by-step explanation:
Given

Required
Determine the new function
From the question, we understand that the new function wants the water to hit the ground 1 ft farther.
1 ft farther implies x + 1
So, in the given function, we substitute x + 1 for x in 
This gives:

Expand Bracket



Collect Like Terms


Hence, the new function is:


Answer:
-9 =k
Step-by-step explanation:
h(x)=x^2+3 and g(x)=x^2-6
g(x)=h(x)+k
Substitute in
x^2-6 = x^2+3 +k
Subtract x^2 from each side
x^2 -x^2-6 = x^2-x^2+3 +k
-6 = 3+k
Subtract 3 from each side
-6-3 = 3-3+k
-9 =k