When you have f(3), that means X is equal to 3.
The problem states if x <-3 then f(x) would be -2.
If x is between -1 and -3, then f(x) would be 4x.
If x is greater than -1, f(x) would be x^2.
3 is greater then -1, so f(3) would be x^2, now replace x with 3 to get 3^2, which equals 9.
f(3) = 9
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get

Substitute these values in (i).


Therefore, the correct option is A.
So the lot has (6/(6+5))*100 percent of new cars and 66*(6/11)*100 percent = 36 new cars before the sale, hence 66-36 =30 preowned cars before sale. After the sale it’s 32 new cars and 28 preowned so 32/28 makes it 8/7
Answer:
The distance between the points is 9.219544457292887
Step-by-step explanation:
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:

Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.