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Nat2105 [25]
3 years ago
11

The president of a certain University receives a salary that is three times the salary of one of the department heads the total

of the two salaries is 190000 what is the salary of the president of the University
Mathematics
1 answer:
Furkat [3]3 years ago
5 0

<u>Answer:</u>

$142500

<u>Step-by-step explanation:</u>

We are given that the resident of a certain University receives a salary that is three times the salary of one of the department heads.

Assuming x to be the salary of the department head, if the total of the two salaries is $190000, we are to find the salary of the president of the University.

We can write an equation in terms of x:

3x+x=190000

4x=190000

x=47500

Salary of the president of the University = 3(47500) = $142500

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The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately
Vanyuwa [196]

Answer:

a. S = {A,B,AB,O}

b. P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c. 0.45 = 45% probability that the person chosen at random has either type A or type AB blood

Step-by-step explanation:

a List the sample space for this experiment.

All possible blood types(A, B, AB or O). So

S = {A,B,AB,O}

b Make use of the information given above to assign probabilities to each of the simple events.

The proportions of blood phenotypes, A, B, AB, and O, in the population of all Caucasians in the United States are approximately .41, .10, .04, and .45, respectively.

So

P(A) = 0.41, P(B) = 0.1, P(AB) = 0.04, P(O) = 0.45

c What is the probability that the person chosen at random has either type A or type AB blood

P(A) + P(AB) = 0.41 + 0.04 = 0.45

0.45 = 45% probability that the person chosen at random has either type A or type AB blood

6 0
2 years ago
During summer, when the snow melts, the water level of the Yukon River increases. If the water level of the river increased by 7
kondaur [170]

Answer:

13 centimeters per day.

Step-by-step explanation:

We have been given that during summer, the water level of the river increased by 78 centimeters in 6 days. We are asked to find the water level increase rate in centimeters per day.

To find the water level increase rate per day, we will divide total increase by total days as:

\text{Water level increase rate per day}=\frac{78\text{ cm}}{6\text{ days}}

\text{Water level increase rate per day}=\frac{13\text{ cm}}{\text{ day}}

Therefore, the water level increase rate is 13 centimeters per day.

5 0
3 years ago
Read the instructions
nordsb [41]

Answer:

Step-by-step explanation:

\frac{5x - 2}{4}+\frac{1}{2}=\frac{3y+2}{2}

Multiply the equation by 4

4*\frac{5x - 2}{4}+4*\frac{1}{2}=4*\frac{3y+2}{2}\\

5x - 2 + 2 = 2*(3y + 2)

5x +0 = 2*3y + 2*2

5x = 6y + 4

5x - 6y = 4 --------------------(I)

\frac{7y+3}{3}=\frac{x}{2}+\frac{7}{3}\\

Multiply the equation by 6

6*\frac{7y+3}{3}=6*\frac{x}{2}+6*\frac{7}{3}\\

2*(7y + 3) = 3x + 2*7

14y + 6 = 3x + 14

14y = 3x + 14 - 6

14y = 3x + 8

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Multiply equation (I) by 3 and equation (II) by 5 and then add

(I)*3              15x - 18y = 12

(II)*5           <u>-15x  + 70y = 40</u>     {Now add}

                          52y = 52

                              y = 52/52

                            y = 1

Substitute y =1 in equation (I)

5x - 6*1 =  4

5x - 6 = 4

      5x = 4 +6

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         x = 10/5

x = 2

7 0
3 years ago
What is 2 1 to 4 ÷ 3 to 4
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Answer:

........

Step-by-step explanation:

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USPshnik [31]
2x + 3y = -6 (Subtract 2x from both sides)
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3 0
3 years ago
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