The houses can be placed in 362,880 ways.
<u>Step-by-step explanation:</u>
The 9 houses are each in different design.
The each lot can place any of the 9 houses.
- The 1st lot can place anyone house of all the 9 houses.
- The 2nd lot can place one of remaining 8 houses.
- The 3rd lot can place one of remaining 7 houses.
Similarly, the process gets repeated until the last house is placed on a lot.
<u>From the above steps, it can be determined that :</u>
The number of ways to place the 9 houses in 9 lots = 9!
⇒ 9×8×7×6×5×4×3×2×1
⇒ 362880 ways.
Therefore, the houses can be placed in 362880 ways.
Answer:
Shift right by 4
Step-by-step explanation:
Given f(x)=x^2
g(x)= x^2-8x+16
Using
Horizontal Shift theorem dealing with the question
If the graph were to be move to to the right, we must use of graph f (x-L)
Where L= 4 and
NOTE:
POSITIVE L MAKES GRAPH SHIFT RIGHT
2) NEGATIVE MAKES GRAPH SHIFT LEFT
g(x)= x^2-8x+16
If we factorize this we have
(x-4)(x-4)
Since the two terms are the same we have (x-4)^2
Then it can move by factor of 4 to the right since constant 4 can be substracted from the parents function
Answer:
b ) the intersection of two events
Step-by-step explanation:
Gary and Steve are both hosting . There are 50 buttons total, 15 buttons are blue and 27 buttons are red. Gary puts all of the buttons into a bag. Steve and Gary both want to wear red buttons.What is the probability ? To solve this problem, you need to understand the Multiplication Rule of Probability.This probability means to find the probability of the intersection of two events, multiply the two probabilities.
Probability of two events occurring that is called intersection of two events. There are two different set of events , called independent and dependent events.
Independent events event is not affected by a previous event.
A dependent event is when one event influences the outcome of another event . To find the intersection of two events, whether they are independent or dependent, multiply the two probabilities together.
The answer is 4/3 thats the rate of change. up 3 over 4
5% = .05
2600 x .05 = 130
130 x 2 = 260
2600 - 260 = 2340
The population will be 2340 people.
