The grade appeal process at a university requires that a jury be structured by selecting seven individuals randomly from a pool of ten students and eleven faculty. (a) What is the probability of selecting a jury of all students? (b) What is the probability of selecting a jury of all faculty? (c) What is the probability of selecting a jury of four students and three faculty?
(a) What is the probability of selecting a jury of all students?
nothing (Round to five decimal places as needed.)
(b) What is the probability of selecting a jury of all faculty?
nothing (Round to five decimal places as needed.)
(c) What is the probability of selecting a jury of four students and three faculty?
nothing (Round to five decimal places as needed.)

Step-by-step explanation:

There are 10 students and 11 faculty, for a total of 21 people.

7 individuals are chosen for the jury.

(a) There are ₁₀C₇ ways of choosing 7 individuals from 10 students.

There are ₂₁C₇ ways of choosing 7 individuals from 21 people.

So the probability that the individuals are all students is:

P = ₁₀C₇ / ₂₁C₇

P = 120 / 116280

P ≈ 0.00103

(b) There are ₁₁C₇ ways of choosing 7 individuals from 11 faculty.

There are ₂₁C₇ ways of choosing 7 individuals from 21 people.

So the probability that the individuals are all students is:

P = ₁₁C₇ / ₂₁C₇

P = 330 / 116280

P ≈ 0.00284

(c) There are ₁₀C₄ ways of choosing 4 individuals from 10 students.

There are ₁₁C₃ ways of choosing 3 individuals from 11 faculty.

There are ₂₁C₇ ways of choosing 7 individuals from 21 people.

So the probability that the individuals are all students is:

P = ₁₀C₄ ₁₁C₃ / ₂₁C₇

P = 210 × 165 / 116280

P ≈ 0.29799

i think it's either c or d

step-by-step explanation: the entire question is extremely odd. 04 obviously refers to the interest rate. honestly i will say the answer is c. because the (2 x 12) part would mean it's compounded semiannually. i'll say choose c.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form