1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RoseWind [281]
4 years ago
15

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 ​$115 thousand. Find the average yearly salary of an individual with each of these final degrees.
Mathematics
1 answer:
charle [14.2K]4 years ago
5 0

Answer:

The average salary of master's degree people is $ 63,000    And

The average salary of bachelor's degree people is $ 52,000  

Step-by-step explanation:

Given in question as :

Let the average salary of master's degree people = $ M       And

Let the average salary of bachelor's degree people = $ B

According to question ,

The average salary of master's degree people + The average salary of bachelor's degree people  = $115,000

Or , $ M + $ B = $ 115,000                                 ............. A

Again ,

$ M = 2 × $ B - $ 41,000                             ............... B

From eq A and eq B

(2 × $ B - $ 41,000 )   +  ( $ B ) = $ 115,000

Or, 3×$ B = 156,000

∴        B = \frac{156,000}{3} = $ 52,000

And   M = $ 115,000 - $ 52,000

∴       M = $ 63,000

Hence The average salary of master's degree people is $ 63,000    And

           The average salary of bachelor's degree people is $ 52,000   Answer  

You might be interested in
If a rectangular prism has a length, width, and height of 3/8 centimeter, centimeter, 5/8 and centimeter, 7/8 respectively, then
Mamont248 [21]

Answer:

3/8 x 5/8 x 7/8=105/512.

Step-by-step explanation:

3 0
3 years ago
Alice searches for her term paper in her filing cabinet, which has several drawers. She knows thatshe left her term paper in dra
katen-ka-za [31]

You made a mistake with the probability p_{j}, which should be p_{i} in the last expression, so to be clear I will state the expression again.

So we want to solve the following:

Conditioned on this event, show that the probability that her paper is in drawer j, is given by:

(1) \frac{p_{j} }{1-d_{i}p_{i}  } , if j \neq i, and

(2) \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  } , if j = i.

so we can say:

A is the event that you search drawer i and find nothing,

B is the event that you search drawer i and find the paper,

C_{k}  is the event that the paper is in drawer k, k = 1, ..., n.

this gives us:

P(B) = P(B \cap C_{i} ) = P(C_{i})P(B | C_{i} ) = d_{i} p_{i}

P(A) = 1 - P(B) = 1 - d_{i} p_{i}

Solution to Part (1):

if j \neq i, then P(A \cap C_{j} ) = P(C_{j} ),

this means that

P(C_{j} |A) = \frac{P(A \cap C_{j})}{P(A)}  = \frac{P(C_{j} )}{P(A)}  = \frac{p_{j} }{1-d_{i}p_{i}  }

as needed so part one is solved.

Solution to Part(2):

so we have now that if j = i, we get that:

P(C_{j}|A ) = \frac{P(A \cap C_{j})}{P(A)}

remember that:

P(A|C_{j} ) = \frac{P(A \cap C_{j})}{P(C_{j})}

this implies that:

P(A \cap C_{j}) = P(C_{j}) \cdot P(A|C_{j}) = p_{i} (1-d_{i} )

so we just need to combine the above relations to get:

P(C_{j}|A) = \frac{p_{i} (1-d_{i} )}{1-d_{i}p_{i}  }

as needed so part two is solved.

8 0
4 years ago
What are the solutions of x2 +6x-6= 10?
Ivenika [448]

Answer:

the answer is X=-8 or X= 2

Step-by-step explanation:

subtract 10 from both sides in order to eliminate 10.

x^2 + 6x -16

find two factors of -16 that sum up to 6.

-2 and 8 are two factors of -16 that sum up to 6.

(x-2)(x+8)

x-2= 0, x= 2

x+8= 0, x = -8

5 0
3 years ago
Read 2 more answers
Exercise 12.1.2: The probability of an event under the uniform distribution - random permutations. About A class with n kids lin
Nataly [62]

Answer:

a) P_a=\frac{1}{n}

b) P_b=\frac{1}{n(1-n)}

c) P_c=\frac{2}{n}

Step-by-step explanation:

The question is incomplete:

<em>(a) What is the probability that Celia is first in line? (b) What is the probability that Celia is first in line and Felicity is last in line? (c) What is the probability that Celia and Felicity are next to each other in the line?</em>

a) The probability that Celia is first in line, if there are n kids and all of them have the same chance, is 1/n.

P_a=\frac{1}{n}

b) The probability that Celia is first in line and Felicity is last in line is

P_b=\frac{1}{n} \frac{1}{n-1} =\frac{1}{n(1-n)}.

It is deducted like that:

If Celia is placed in the first line (what has a probablity of 1/n), there are left (n-1) kids. Then, the probability of placing Felicity in the last place is 1/(n-1).

Both probabilities multiplied give 1/(n*(n-1)).

c) The probability that Celia and Felicity are next to each other in the line is

P_c=\frac{2(n-1)!}{n!}=\frac{2}{n}

There are n! combinations for kids lines, where (n-1)! permutations have Celia before Felicity and other (n-1)! permutations have Felicity before Celia.

Then, we have 2(n-1)! permutations that have Celia and Felicity next to each other, over n! permutations possible.

5 0
3 years ago
What are the coordinates of the point (-8,5) if it is reflected across the x-axis?
podryga [215]
It is d, -8.-5. I did it on paper
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do u write <br><br>(4×10 3rd pwr)(1.6×10 -6 pwr)
    11·1 answer
  • What is the domain of y=2x-10 square root
    7·1 answer
  • the Law of Detachment and the Law of Syllogism to draw a conclusion from the given statements:Franz is taller than Isabel. Isabe
    13·1 answer
  • A box contains seven action, six comedies, eight dramas, and five science fiction films. Find the probability of choosing a come
    5·2 answers
  • Can u draw this on a number line??
    10·1 answer
  • Multiples of 4 starting from 40
    15·1 answer
  • Janet was in an accident. The damage to her car is
    9·1 answer
  • Multiply the following binomials and simply your answer
    6·1 answer
  • Which type of cable is uses a two-number designator consisting of core and cladding measurements?
    14·1 answer
  • Drag each label to the correct location. Not all labels will be used.First, drag a value to represent the missing angle in the t
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!