Given Information:
Mean weekly salary = μ = $490
Standard deviation of weekly salary = σ = $45
Required Information:
P(X > $525) = ?
Answer:
P(X > $525) = 21.77%
Step-by-step explanation:
We want to find out the probability that a randomly selected teacher earns more than $525 a week.
The z-score corresponding to 0.78 from the z-table is 0.7823
Therefore, there is 21.77% probability that a randomly selected teacher earns more than $525 a week.
How to use z-table?
Step 1:
In the z-table, find the two-digit number on the left side corresponding to your z-score. (e.g 0.7, 2.2, 1.5 etc.)
Step 2:
Then look up at the top of z-table to find the remaining decimal point in the range of 0.00 to 0.09. (e.g. if you are looking for 0.78 then go for 0.08 column)
Step 3:
Finally, find the corresponding probability from the z-table at the intersection of step 1 and step 2.
Answer:
0.45
Step-by-step explanation:
Step 1:
Step 2:
8 · x = 0.3 · 12
8x = 3.6
Last Step: Divide both sides by 8 to isolate the value x
If you extend the line from 1 through the parallel line you create a transversal and a triangle.
Consecutive angles inside the parallel lines are supplementary therefor the exterior angle of the triangle on the left side measures 118 degrees. This angle creates a linear pair with the left base angle therefore that angle measures 62 degrees.
144 forms a linear pair with the right base angle of the triangle making its measure 36 degrees.
The third angle of the triangle would then measure 82 degrees. Finally this third angle forms a linear pair with angle 1 making angle 1 measure 98 degrees.
Answer:
24 cubic inches.
Step-by-step explanation:
The volume of one cube = s * s * s or s^3
s = 2 inches
V = s^3
V = 2 * 2 * 2 or 2^3
V = 8 cubic inches.
The volume of 3 of them is 8*3 = 24 cubic inches.
