2x - 21
......................
Answer:
D is the answer to your question
Without the actual numeric data coordinates, it is impossible to compute the true r value. Though we can estimate. The data points are negatively correlated in a fairly strong manner. We can draw a straight line close to all of these points, so the r value is going to be fairly close to -1. The closer r is to -1, the stronger the negative correlation. Having r = -1 exactly means all of the points fall on some single straight line that slopes downward.
Choice B is the next best choice, but its correlation isn't as strong. So that's why I ruled it out. Choices C and D are ruled out immediately since they are positive values.
Answer:
The probability that the the total length after insertion is between 34.5 and 35 inches is 0.1589.
Step-by-step explanation:
Let the random variable X represent the length of the first piece, Y represent the length of the second piece and Z represents the overlap.
It is provided that:
It is provided that the lengths and amount of overlap are independent of each other.
Compute the mean and standard deviation of total length as follows:
Since X, Y and Z all follow a Normal distribution, the random variable T, representing the total length will also follow a normal distribution.
Compute the probability that the the total length after insertion is between 34.5 and 35 inches as follows:
*Use a z-table.
Thus, the probability that the the total length after insertion is between 34.5 and 35 inches is 0.1589.
The measure of the angles are; J = 48, K = 57 and L = 75
Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
In order to determine the measure of these angles, we have to set J as x. then find the measure of all of these angles.
J = x
K = x + 9
L = 2x - 21
Now, we can add them all together and set equal to 180;
x + x + 9 + 2x - 21 = 180
4x - 12 = 180
4x = 192
x = 48
Now that we have;
J = x = 48
K = x + 9 = 48 + 9 = 57
L = 2x - 21 = 2(48) - 21 = 96 - 21
L = 75
Hence, The measure of the angles are; J = 48, K = 57 and L = 75
Learn more about angles;
#SPJ2
Answer:
j=45 k=83 L=52
Step-by-step explanation:
j=x-7
k=2x-21
L=x
x-7+2x-21+x=180
4x-28=180
4x=208
x=52