To move from the point (0,0) to the point (6,9) we move up 9 units and right 6 units.
Slope = rise/run
Slope = change in y / change in x
Slope = 9 / 6
Slope = 3/2
Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

The formula to compute the <em>z</em>-score is:

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:

Thus, the z score for bolt of diameter 18.12 mm is 1.20.
Answer:
8 hours
Step-by-step explanation:
14 + 3x =38
-14 -14
--------------------
3x = 24
---- ----
3 3
--------------------
x = 8
Answer:
120,000
Step-by-step explanation:
Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1
5x + 7x + 3x = total = 15x
3x = 24000
divide both sides by 3 to get x
x = 8000
15x = 8000*15 = 120000
You can find the area of a hemisphere by using the following equation
V = (2/3) (pi)*r^3
so V = (2/3) (pi)*1.6^3
Which comes out as 8.5786423394 or 8.6