Answer:
I believe the answer is 48 gallons.
Step-by-step explanation:
Multiply 1.6 by 30 and you get 48
Get unknowns on one side and know on other side.
Divide both sides by -2
X= -7
Answer:
a.2nd quarter with 9 goals
b. 4.8 goals
c. 4 goals
Step-by-step explanation:
a. The mode is defined as the most appearing data point or the data point with the highest frequency..
From our data(for away goals):
- 1st quarter-2
- 2nd quarter-9
- 3rd quarter-7
- 4th quarter-4
Hence, the 2nd quarter has the mode for away goals with 9 goals.
b. Mean is defined as the average of a set of data points.
#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:

Hence, the mean number of goals per quarter is 4.8 goals
c. To find the number of more home goals than away goals, we subtract from their summations as:

Hence, there are 4 more home goals than away goals.
Answer:
K(8, 4)
Step-by-step explanation:
Given:
M(2, 1), P(12, 6)
MK:KP = 3:2
Required:
Coordinates of K
SOLUTION:
Coordinates of K can be determined using the formula below:


Where,



Plug in the necessary values to find the coordinates of K:










The coordinates of K = (8, 4)
Answer:
2 bears in 2020.
Step-by-step explanation:
We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
We will use exponential decay formula to solve our given problem as:
, where,
y = Final quantity,
a = Initial value,
r = Decay rate in decimal form,
x = Time
Upon substituting our given values in above formula, we will get:

, where x corresponds to year 2000.
To find the population in 2020, we will substitute
in our equation as:



Therefore, 2 bears are there predicted to be in 2020.
Since population is decreasing so population is best described as exponential decay.