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Blizzard [7]
3 years ago
8

What are the coordinates of the midpoint of the segment whose endpoints are E(2, 9) and F(8, –3)?

Mathematics
1 answer:
ANEK [815]3 years ago
3 0
Use midpoint formula:
8+2/2 ,-3+9/2
= 5,3.
The second option
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Which is more? 1 gallon or 8 liters?
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What type of reaction is shown below? Check all that apply. 2Na + Cl2 → 2NaCl synthesis decomposition combustion
const2013 [10]

Answer: This is a type of Synthesis reaction.

Explanation:

  • Synthesis reaction is a type of chemical reaction in which two or more substances combine to form a single substance.

A+B\rightarrow AB

  • Decomposition reactions are a type of chemical reactions in which a substance breaks down into two or more substances.

AB\rightarrow A+B

  • Combustion reaction is a type of chemical reaction in which a hydrocarbon reacts with oxygen gas to produce carbon dioxide and water.

Hydrocarbon+O_2\rightarrow H_2O+CO_2

For the given reaction:

2Na(s)+Cl_2(g)\rightarrow 2NaCl

Here, 2 substances are combining together to form a single substance. Hence, it is considered as a synthesis reaction.

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3 years ago
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Temperature transducers of a certain type are shipped in batches of 50. A sample of 58 batches was selected, and the number of t
andrew11 [14]

Answer:

a) X        Freq.         Rel Freq.

__________________________

0           7              (7/58) = 0.121

1            10            (10/58)=0.172

2           13            (13/58) =0.224

3           14            (14/58)=0.241

4           6              (6/58)=0.103

5           3              (3/58)=0.052

6           3              (3/58)=0.052

7            1              (1/58) =0.017

8            1              (1/58)=0.017

_________________________

Total     58                 1.00

b) \frac{7+10+13+14+6}{58}= \frac{50}{58}=0.862

Step-by-step explanation:

Assuming this question: Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:

2,1,2,4,0,1,3,2,0,5,3,3,1,3,2,4,7,0,2,3,

0,4,2,1,3,1,1,3,4,2,3,2,2,8,4,5,1,3,1,

5,0,2,3,2,1,0,6,4,2,1,6,0,3,3,3,6,2,3

(a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to three decimal places.)

For this case first we order the dataset on increasing way and we got:

0 0 0 0 0 0 0

1 1 1 1 1 1 1 1 1 1

2 2 2 2  2 2 2 2 2 2 2 2 2

3 3 3 3 3 3 3 3 3 3 3 3  3 3

4 4 4 4 4 4

5 5 5

6 6 6

7

8

And we can construct the following table:

X        Freq.         Rel Freq.

__________________________

0           7              (7/58) = 0.121

1            10            (10/58)=0.172

2           13            (13/58) =0.224

3           14            (14/58)=0.241

4           6              (6/58)=0.103

5           3              (3/58)=0.052

6           3              (3/58)=0.052

7            1              (1/58) =0.017

8            1              (1/58)=0.017

_________________________

Total     58                 1.00

(b) What proportion of batches in the sample have at most four nonconforming transducers? (Round your answer to three decimal places.)

For this case this proportion would be:

\frac{7+10+13+14+6}{58}= \frac{50}{58}=0.862

4 0
3 years ago
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