Answer:
The sample space for selecting the group to test contains <u>2,300</u> elementary events.
Step-by-step explanation:
There are a total of <em>N</em> = 25 aluminum castings.
Of these 25 aluminum castings, <em>n</em>₁ = 4 castings are defective (D) and <em>n</em>₂ = 21 are good (G).
It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

Compute the number of samples that are possible as follows:


The sample space for selecting the group to test contains <u>2,300</u> elementary events.
Answer: Your answer is X=6
Step-by-step explanation:
10/3 = 20/x
Determine the defined range
10/3 20/x, x=0
Cross-multiply
10x = 60
Divide both sides by 10
x=6,x=0
Check if the solution is in the defined range
SOLUTION x=6
<u><em>I HOPE THIS HELPS IF NOT THE SORRY</em></u>
<u><em></em></u>
Answer:

Step-by-step explanation:
Given


Required
Determine the line equation
This question will be answered using linear interpolation.
This is represented as thus:

Substitute values for x1,x2,y1 and y2




Cross Multiply


Make y the subject


The ratio would be 3:4, or however you write ratios.
Hope this helped! :)
-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25