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3 years ago

Tell whether the equation has one, zero, or infinitely many solutions.2(x − 3) + 4 = 1x − 5.

Mathematics

1 answer:

tankabanditka [31]3 years ago

3 0

Answer:one solution

Step-by-step explanation:

x=-3, TeR

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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 2,300 elementary events.

Step-by-step explanation:

There are a total of N = 25 aluminum castings.

Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 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 2,300 elementary events.

6 0

3 years ago

The price of a pair of shoes is $52. This price is 15% lower than last week. What was the price of the shoes last week? Round yo

slava [35]

$52/(100-15)=$0.6117 is 1 percent of the price
$0.6117*100=$61.17
Last week the price of the shoes was $61.17

7 0

3 years ago

Read 2 more answers

2 2/3 multiplied by 5 4/5

grin007 [14]

$2 \frac{2}{3} = \frac{8}{3} 
$
$5 \frac{4}{5} = \frac{29}{5}$
$\frac{8}{3} * \frac{29}{5} =X$
Solve for X. What do you think the answer is based on that?

8 0

3 years ago

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of

lora16 [44]

Answer:

The dimension of the sandbox is (2x+1) by (x - 3)

Step-by-step explanation:

It seems the complete question will be:

The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.

Step-by-step explanation:

From the question, the given expression is 2X^2-5x-3. This can be rewritten as

$2x^{2} -5x-3$

If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.

Factorizing the expression $2x^{2} -5x-3$ , we get

$2x^{2} -6x+x-3$