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allsm [11]
3 years ago
13

Please help me with this!

Mathematics
1 answer:
blsea [12.9K]3 years ago
7 0

Answer:

180

Step-by-step explanation:

So, lets go over what we know:

5% of x = 9

Thinking of this in decimal form, this is:

0.05 * x = 9, or 0.05x = 9

To find the answer, we must multiply both sides to get 1x.

Since 0.05 is 1/20 of 1, we must multiply both sides by 20:

0.05x * 20 = 0 * 20:

1x = 180

So the answer is 180!

Hope this helps!

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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
Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
4 years ago
Read 2 more answers
Which inequality is represented by this graph?
ohaa [14]

Answer:

B

Step-by-step explanation:

The line is solid, so eliminate A and D.

Also, the line is shaded below, so this eliminates C.

6 0
2 years ago
If f(x) = 9x - 2 and g(x) = 2x², what is the value of f(4) - g(4)
pishuonlain [190]

9514 1404 393

Answer:

  f(4) -g(4) = 2

Step-by-step explanation:

Fill in the given values for x and do the arithmetic.

  f(4) = 9·4 -2 = 34

  g(4) = 2·4^2 = 32

Then ...

  f(4) -g(4) = 34 -32

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6 0
3 years ago
Read 2 more answers
Help please. I can't remember how to do these
ipn [44]
You have to multiplying 10x10 giving you 20 dividing six hours to 20. Then that answer divied by 5.

There's your answer :)
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3 years ago
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