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Romashka [77]
3 years ago
8

if bob went 14.6 miles away form home. then, bob ran 9.8 miles towards home then 503 mile away from is home. how far is bob away

from home
Mathematics
2 answers:
g100num [7]3 years ago
8 0
Bob is 507.8 miles away from home.


Ivan3 years ago
5 0

507.8.

add 14.6 to 503, then subtract 9.8 from that so,  14.6 + 503 - 9.8 = 507.8

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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
What is the value of m in the equation 1/2m-3/4n when n = 8?
kirill [66]

Answer:

-\frac{1}{32}

Step-by-step explanation:

n = 8\\1/2(8) - 3/4(8) = 1/16-3/32

Multiply the numerator and denomiator of 1/16 by 2 so that the denominators are equal and we can subtract.

\frac{1}{16} *\frac{2}{2} =\frac{2}{32}

Then, subtract

\frac{2}{32} -\frac{3}{32} = \frac{2-3}{32} =- \frac{1}{32}

3 0
3 years ago
The sanchez family goes out for dinner, and the price of the meals is $60. The sales tax on the Meals is 7 percent, and they als
dem82 [27]

Answer:

73.3

Step-by-step explanation:

7%=7÷100=0.07 ×60=4.2

15%=15÷100=0.15×60=9

add you answers to 60 and to should get 73.2

5 0
3 years ago
The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?
kramer

Answer:

The coordinates of B is (5,-2)

Step-by-step explanation:

In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Let (x1,y1) be A (-3,-6),

Let (x2,y2) be B,

Let midpoint be M (1,-4),

(1, - 4) =  (\frac{ - 3 + x2}{2} , \frac{ - 6 + y2}{2} )

by \: comparison, \:

\frac{ - 3 + x2}{2}  = 1

- 3 + x2 = 2

x2 = 5

\frac{ - 6 + y2}{2}  =  - 4

- 6 + y2 =  - 8

y2 =  - 2

6 0
3 years ago
What’s the reciprocal of 5 4/9
stealth61 [152]

Answer:

9/49

Step-by-step explanation:

5 4/9 =49/9 and49/9*9/49=1 then reciprocal of 49/9 is9/49

5 0
2 years ago
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