Answer: Pattern B
Step-by-step explanation: A quadratic relationship involves x squared. Pattern B has the relationship x squared + 1 between the step number and the number of dots
Answer: <span>A. A function is a special type of relation for which there is a rule that pairs each input with exactly one output.
Option B is incorrect because it does not include that there cannot be two x-values with the same y-value. Option C is incorrect because it is a relation, not just a set of ordered pairs. Option D is incorrect because there <em>is</em> a particular pattern in a function.
Hope this helps!</span>
Answer:
Mean: 40.17 years.
Standard deviation: 10.97 years.
Step-by-step explanation:
The frequency distribution is in the attached image.
We can calculate the mean adding the multiplication of midpoints of each class and frequency, and dividing by the sample size.
The midpoints of a class is calculated as the average of the bounds of the class.
Then, the mean can be written as:
The standard deviation can be calculated as:
![s=\sqrt{\dfrac{1}{N-1}\sum f_i(X_i-E(X))^2}\\\\\\s=\sqrt{\dfrac{1}{59}[3(15-40.17)^2+7(25-40.17)^2+18(35-40.17)^2+20(45-40.17)^2+12(55-40.17)^2]}](https://tex.z-dn.net/?f=s%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7BN-1%7D%5Csum%20f_i%28X_i-E%28X%29%29%5E2%7D%5C%5C%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cdfrac%7B1%7D%7B59%7D%5B3%2815-40.17%29%5E2%2B7%2825-40.17%29%5E2%2B18%2835-40.17%29%5E2%2B20%2845-40.17%29%5E2%2B12%2855-40.17%29%5E2%5D%7D)
Answer:
In the area that she observed, the water level fell 13.64mm over 6.4 years, for an average annual rate of change of: -13.64 ÷ 6.2 = -2.2 mm/ year.
Slope intercept form is y = mx + b...ur slope will be in the m position and ur y int will be in the b position
examples : slope = 2 , (1,3)....x = 1 and y = 3
y = mx + b
slope(m) = 2
(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 2(1) + b
3 = 2 + b
3 - 2 = b
1 = b
so in slope intercept form, ur equation is : y = 2x + 1
================
another example : slope = 3 , (-2,-4)
y = mx + b
slope(m) = 3
(-2,-4)...x = -2 and y = -4
now sub and find b, the y int
-4 = 3(-2) + b
-4 = - 6 + b
-4 + 6 = b
2 = b
so ur equation is : y = 3x + 2
