Answer:
The last one on the bottom right
Step-by-step explanation:
When we are trying to fit a line for a number of points, we can fix this line at several points on the graph. However, out of the several lines that we can fit, only one of these lines would work perfectly and it is called the line of best fit.
The reason why it is called the line of best fit is that it is drawn in a manner in which it leaves equal number of points above it as below it.
Supposed we have 15 points for our graph with the line of the slope passing thorough 5, the line of best fit in this case would leave 5 points above and another 5 below the line.
Leaving 6 and 4 is also manageable, but in case where 3 and 7 are left above and below the line, then it becomes a problem
Thus, out of all the representations we have, the one on the bottom right best works
yes it is normal because the tallest man in the world is like 8 feet and 75 inches would be 6 feet and something
Answer:
Explanation:
The table that shows the pattern for this question is:
Time (year) Population
0 40
1 62
2 96
3 149
4 231
A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.
Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.
Thus you must find both P₀ and r.
<u>1) P₀ </u>
Using the first term of the sequence (0, 40) you get:
P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀
Then, P₀ = 40
<u> 2) r</u>
Take two consecutive terms of the sequence:
- P(1) / P(0) = 40r / 40 = 62/40
You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55
<u>3) Model</u>
Thus, your model is P(x) = 40(1.55)ˣ
<u> 4) Population of moose after 12 years</u>
- P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31