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valentina_108 [34]
3 years ago
8

Find x and round to the nearest tenth:)

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Answer:

x = 31.8°

Step-by-step explanation:

Applying the Law of Sines, we have:

\frac{sin(x)}{12} = \frac{sin(75)}{22}

Multiply both sides by 12

\frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12

sin(x) = \frac{sin(75) \times 12}{22}

sin(x) = 0.5269

x = sin^{-1}(0.5269)

x = 31.8° (nearest tenth)

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The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma)

95% of all values lie within the 1 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)

99.7% of all values lie within the 1 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

\mu = 55\\\sigma = 4

68% of all values lie within the 1 standard deviation from mean (\mu-\sigma,\mu+\sigma) = (55-4,55+4)= (51,59)

95% of all values lie within the 2 standard deviation from mean  (\mu-1\sigma,\mu+1\sigma)= (55-2(4),55+2(4))= (47,63)

99.7% of all values lie within the 3 standard deviation from mean  (\mu-3\sigma,\mu+3\sigma)= (55-3(4),55+3(4))= (43,67)

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

4 0
3 years ago
Explain the advantages of using Value Added Statements (VAS) for interdivision for comparisons in decentralized firm.
mario62 [17]
The following are a few points of interest of utilizing Value Added Statements (VAS): 
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7 0
3 years ago
Does anyone get this​
ivolga24 [154]

Answer:

Step-by-step explanation:

Ok so to find constant of proportionality, you need to find K.

X would be gallons and y is cost.

To find k you need to do k=y/x

k=17.50/5

k=3.5

That's the first one. Now you need to make sure its <em>constant</em> with each one so keep going.

k=35/10

k=3.5

k=52.50/15

k=3.5

For all of those 3.5 was constant.

Because they are constant, that means the data in the graph is a proportion.

An example of an unproportional relationship would be if instead of 15 in the last column, it was 16.

k=52.50/16

k=3.28

That be different from the other 3.5's meaning its not proportional. But that's just an example.

If you need extra help reach out to me and I'll help you best I can. I hope this helps though. <3

8 0
3 years ago
Combine like terms w-8w
Pani-rosa [81]
Usually you would have two to add, are you sure this is complete? If this is it then all you do is w-8w, which is -7w. 
6 0
3 years ago
Read 2 more answers
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vitfil [10]
Here are 3 equivalent expressions that would represent the total number of pencils and pens in Karen's backpack.

1. 4p + 6

2. p+ p + p + p + 6

3. 6 + 4(p)

Each of these has four groups of p +6 represented.
5 0
3 years ago
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