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Strike441 [17]
3 years ago
7

The complement of an angle is 6 degrees less than twice the measure of the angle , . Find the angle and its supplement .

Mathematics
1 answer:
katrin [286]3 years ago
5 0

9514 1404 393

Answer:

  • angle: 32°
  • supplement: 148°

Step-by-step explanation:

Let x represent the angle. Then its complement is 2x-6:

  x +(2x -6) = 90

  3x = 96

  x = 32

  180 -x = 148

The angle is 32°; its supplement is 148°.

_____

<em>Additional comment</em>

We are given a relation between the angle and its <em>complement</em>. We are asked for the value of the angle and its <em>supplement</em>. A typo in the problem is suspected.

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sukhopar [10]

Answer:

7 years (This answer is to the nearest year)

Step-by-step explanation:

The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)

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Answer:

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Step-by-step explanation:

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4 0
2 years ago
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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
13. 2 – (–8) + (–3) = <br><br> A. 1<br> B. 12<br> C. 7<br> D. 14
baherus [9]

ANSWER

C. 7

EXPLANATION

We want to evaluate

2 - (  - 8) + ( - 3)

We use the order of operations PEDMAS.

Dealing with the parenthesis first,we have

2  -  - 8+- 3

Note that:

-    -  =  +

and

-  +  =  -

Our expression now becomes:

2 + 8 - 3

Next, we add to get:

10 - 3

We finally subtract to get,

7

The correct answer is C

7 0
3 years ago
Read 2 more answers
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