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9966 [12]
3 years ago
15

2 divided by 1 and 6/7

Mathematics
1 answer:
NARA [144]3 years ago
4 0

Answer:

the answer is 1.2

Step-by-step explanation:

divide 2 by 1 6/7

and you get 1.2


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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
Solve the proportion using equivalent ratios. Explain the steps you used to solve the proportion, and include the answer in your
rodikova [14]

Answer: Your answer is X=6

Step-by-step explanation:

10/3 = 20/x

Determine the defined range

10/3 20/x, x=0

Cross-multiply

10x = 60

Divide both sides by 10

x=6,x=0

Check if the solution is in the defined range

SOLUTION x=6

<u><em>I HOPE THIS HELPS IF NOT THE SORRY</em></u>

<u><em></em></u>

4 0
3 years ago
write an equation of a line that passes through the following tow points (4, -6) and (2, 8) show work
stiks02 [169]

Answer:

y = -7x + 22

Step-by-step explanation:

Given

(x_1,y_1) = (4,-6)

(x_2,y_2) = (2,8)

Required

Determine the line equation

This question will be answered using linear interpolation.

This is represented as thus:

\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}

Substitute values for x1,x2,y1 and y2

\frac{y - (-6)}{x - 4} = \frac{8 - (-6)}{2 - 4}

\frac{y +6}{x - 4} = \frac{8 +6}{2 - 4}

\frac{y +6}{x - 4} = \frac{14}{-2}

\frac{y +6}{x - 4} =-7

Cross Multiply

y + 6 = -7(x - 4)

y + 6 = -7x + 28

Make y the subject

y = -7x + 28-6

y = -7x + 22

7 0
3 years ago
Which ratios are equivalent to 3 parts silver paint to 4 parts green paint?
mestny [16]

The ratio would be 3:4, or however you write ratios.

Hope this helped! :)

6 0
3 years ago
Read 2 more answers
Which sentence represents the inequality -2b + 7 &gt; 27.5?<br> Help PLEASE!
AVprozaik [17]
-2b + 7 > 27.5
- 2b > 27.5 - 7
- 2b > 20.5
b < - 10.25

7 0
3 years ago
Read 2 more answers
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