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Lorico [155]
3 years ago
8

Is the eye color of people on commercial aircraft flightseye color of people on commercial aircraft flights a discrete random​ v

ariable, a continuous random​ variable, or not a random​ variable?
Mathematics
1 answer:
const2013 [10]3 years ago
7 0

Answer: The eye color of people on commercial aircraft flights is a discrete random​ variable.

Step-by-step explanation:

A discrete random variable is a variable with real values that are countable.

A discrete random variable has a probability that is between 0 and 1 for each possible values and the sum of all these probabilities equals 1.

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A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min
Natali5045456 [20]

The complete question is;

A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 4 gal/min. Determine the amount of salt in the tank at any time

t, if the concentration in the inflow is variable and given by

c(t) = 2 + sin(t/4) lb/gal.

Answer:

dA/dt = (8 + 4sin(t/4)) - (A_t/100)

Step-by-step explanation:

Rate is given as;

dA/dt = R_in - R_out

R_in = (concentration of salt inflow) x (input rate of brine)

So, R_in = (2 + sin(t/4)) x 4 = (8 + 4sin(t/4))

The solution is being pumped out at the same rate, thus it is accumulating at the same rate.

After t minutes, there will be 400 + (0 x t) gallons left = 400 gallons left

Thus,

R_out =(concentration of salt outflow) x (output rate of brine)

R_out = (A_t/400) x 4 = A_t/100

Thus,

A_t = (100/t)(8t - 16cos(t/4) - 60)

Since we want to find the amount of salt, A(t), let's integrate;

Thus, A = 8t - 16cos(t/4) - (A_t/100)t

A = 60 from the question. Thus,

60 = 8t - 16cos(t/4) - (A_t/100)t

Let's try to make A_t the subject;

(A_t/100)t = 8t - 16cos(t/4) - 60

A_t = (100/t)(8t - 16cos(t/4) - 60)

3 0
3 years ago
Which size of yogurt shown in the table has the lowest<br> uzit price?
k0ka [10]

Answer:

6oz

Step-by-step explanation:

6oz has the lowest price than the others.

8 0
2 years ago
So uh can someone answer this for me please i don’t understand it
Simora [160]

Answer:

jjjjjiii

5

Step-by-step explanation:

2.5x+1.5 × 4 = 36

4 0
2 years ago
Read 2 more answers
Find the whole. 700​% of what number is 5,950​?
jarptica [38.1K]

Answer:

850

Step-by-step explanation:

700% is the same as x 7.

The opposite is to divide.

5950 / 7 = 850

6 0
2 years ago
Find the volume of a rectangular prism if the length is 3x2, the width is 2x, and the height is x2 + 3x + 5. Use the formula V =
AURORKA [14]
You are given the length of a rectangular prism of 3x^2, width of 2x and height of x^2 + 3x +5. You are required to find the volume of a rectangular prism. Using the equation V = l x w x h, we multiply the three dimensions.  

V = l x w x h
V = (3x^2)(2x)( x^2 + 3x +5)
V = 2x (3x^4 + 9x^3 + 15x^2)
<u>V = 6x^5 + 18x^4 + 30x^3</u> <u> </u>
<u>The volume of the rectangular prism is 6x^5 + 18x^4 + 30x^3.</u>
3 0
3 years ago
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