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Vikentia [17]
4 years ago
15

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$(blank) thousand less than twice that

of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$(blank) thousand. Find the average yearly salary of an individual with each of these final degrees.
Mathematics
1 answer:
cupoosta [38]4 years ago
4 0

Complete question :

Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$41 thousand less than twice that of an individual whose final degree is a​ bachelor's. Combined, two people with each of these educational attainments earn ​$118 thousand. Find the average yearly salary of an individual with each of these final degrees.

Answer:

Bachelors = $53000

Masters = $65000

Step-by-step explanation:

Given that :

Let Salary of bachelor's degree holder = b

Salary of Master's degree holder = 2b - 41000

Master's + bachelor's salary = $118,000

Hence,

2b - 41000 + b = 118,000

3b = 118000 + 41000

3b = 159000

b = 159000 / 3

b = $53,000

Bachelor's degree salary = $53,000

Master's degree salary ; 2b - 41000

2(53000) - 41000 = 65000

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Answer:

Step-by-step explanation:

Given that we pick up three people at random.

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Probability for a person to be born on a specific data is equally likely and hence equal to

\frac{1}{365}

Each person out of three persons is independent of the other.

Hence for the second person to have the same birthday would have equal probability.

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b) the probability that at least two people share a birthday

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4 0
3 years ago
A solution of a battery is 14% sulfuric acid. If we have 9 gallons of the
hram777 [196]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a par
mylen [45]

Answer:

The similar triangles are \triangle BPE and \triangle BCG

BE = 321 and PE =286

Step-by-step explanation:

Given

See attachment for the required figure

Solving (a): The similar triangles

The similar triangles are \triangle BPE and \triangle BCG

Solving (b): Why they are similar

Both triangles are similar because \triangle BCG is dilated (i.e. enlarged) and then reflected to give \triangle BPE.

Solving (c): Calculate BE and PE

The following are equivalent ratios

BP: BC = BE : BG

and

BP: BC = PE : CG

Solving for BE, we have:

BP: BC = BE : BG

Substitute the known values

250:350 = BE:450

Express as fraction

\frac{250}{350} = \frac{BE}{450}

Multiply both sides by 450

450 * \frac{250}{350} = BE

321 = BE

BE = 321 -- approximated

Solving for PE, we have:

BP: BC = PE : CG

Substitute known values

250:350 = PE:400

Express as fraction

\frac{250}{350} = \frac{PE}{400}

Multiply both sides by 400

400 * \frac{250}{350} = PE

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5 0
3 years ago
-3x + 7 x= -2<br><br>PLEASE SHOW WORK
Delicious77 [7]

Answer:

x = -0.5

Step-by-step explanation:

-3x+7x can be simplified to 4x (subtract 3 from 7 since it's a negative)

then you get

4x = -2

From here, divide both sides by 4 to isolate the x

4x/4 = -2/4

Then you'd get

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3 0
3 years ago
The class of math is mapped on a coordinate grid with the origin being at the center point of the hall. Mary’s seat is located a
nignag [31]
To find the distance b/t 2 points you need to use the distance formula. that is

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to fill it in, it is

(it doesnt matter which point you start with, as long as its consistent)

x1 = 9
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square root of 340


Distance = 18.4391 units.

I hope this helps!
7 0
3 years ago
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