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.
A) Height -7 = base
B) .5 * height * base = 60
Substituting A into B
B) .5 * height * (height -7) = 60
B) .5*height^2 -3.5*height = 60
B) .5*height^2 -3.5*height -60 = 0
Using the quadratic formula:
Height = 15
Subtracting 7 gives us the base length
Base = 8
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Double-Check
.5 * 15 * 8 = 60
Answer: C
Step-by-step explanation:
So, what I did was multiply 33*6 and got 198 and then 228-198 to find out that the initial fee was 30 dollars. then multiply 33*9+30 to get a 9 month total cost of $327. Hope from here you are able to set up your equation now you have all the information needed :)
Answer:
64a³c²⁷
Step-by-step explanation:
The expression inside parentheses can be simplified by noting that b^0 = 1. Then you have ...
(4ac^9)^3
The rules of exponents say the exponent outside applies to each of the inside factors. For c^9, the exponents multiply.
Here are the applicable rules:
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(b·c)
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(4ac^9)^3 = 4^3·a^3·c^(9·3) = 64a^3c^27
