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kherson [118]
2 years ago
5

Can someone please help me

Mathematics
1 answer:
zhuklara [117]2 years ago
7 0
So what is the question?
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In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control
lianna [129]

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:

{n\choose k}=\frac{n!}{k!(n-k)!}

Compute the number of samples that are possible as follows:

{25\choose 3}=\frac{25!}{3!\times (25-3)!}

      =\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

6 0
3 years ago
A 100 foot ladder is leaning against a tree so that the top of the ladder is 96 feet above the ground. How far is the base of th
ahrayia [7]

Answer:The base of the ladder from the tree is 28ft

Step-by-step explanation:

Using pythagorean theorem

Let 100ft= hypothesis is the right angle triangle

Let 96ft be the height of the ladder

Let x be the base of the right angle triangle between the base of the ladder and the tree

h^2=a^2+b^2

100^2=96^2 +b^2

10,000=9216 +b^2

b^2=10,000-9216

b=sqrt(784)

b=28ft

8 0
3 years ago
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What is the u-intercept of this graph
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Answer:

-5

Step-by-step explanation:

ydfgdrgdrhyivtfsf

8 0
3 years ago
150% of what number is 34
Svetradugi [14.3K]
150% of 51 is 34. So your answer is 51
6 0
3 years ago
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What is the unit rate of this question
kykrilka [37]
Answer: 64 mph

We can see that after every hour, the car has traveled 64 miles. So the speed rate is 64 miles per hour.
8 0
3 years ago
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