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agasfer [191]
3 years ago
13

Is (-2) with the exponent 9 positive or negative

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
4 0

Answer:

negative

Step-by-step explanation:

A negative value raised to an even exponent is positive

A negative value raised to an odd exponent is negative

(-2)^{9} = - 512 ← negative

(-2)^{8} = 256 ← positive

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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
Use three of the numbers 3,4,5,12, or 15 to complete the number sentence. Do not use any number more than once. ( _____ - _____
Stella [2.4K]

Answer:3


Step-by-step explanation:

15-3=12÷4=3

7 0
3 years ago
The large rectangle shown here is 3cm by 5 cm. What is a direct way to determine the area of the rectangle in square centimeters
dlinn [17]

Answer:

Place the squares on the rectangle.

Step-by-step explanation:

Hello!

The area of the 1cm by 1cm square is 1 square cm.

We can solve for the area by placing multiple of those squares in the larger rectangle.

If we place it, we get 15 placed squares, with a total area of 15 square cm. This relies on the meaning of area, as we are simply measuring the number of square cm taken up by the object.

We would place 3 rows of 5 squares, representing a height of 3 cm (side length of 3 squares), and a length of 5 cm (side length go 4 squares).

This also proves the area formula A = L * W, as we multiple the side lengths to find the number of square units.

8 0
2 years ago
Find the volume of a cylinder if it is 2 feet tall and has a diameter of 1.5. Use 3.14 for pi.
olga55 [171]

Answer:

3.5325

Step-by-step explanation:

V = 3.14*(.75^2)(2)

You divide the diameter by 2 to get the radius which is 1.5/2 =.75

r=.75

h=2

and you use the equation for volume of cylinder which is V = pi x radius squared x height

5 0
2 years ago
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Delvig [45]

Answer:

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4 0
2 years ago
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