A box contains seven marbles. Four of them are red and 3 of them are green. You reach in and choose three at random without replacement. Define a random variable X as: X = the number of red marbles selected.

(a) What are the possible values X can take on? (i. e. give Im(X))
(b) Find P(X = x) for all x in Im(X).
(c) Make a table for the probability distribution of X as shown in lecture. (Leave probabilities as fractions)

y = 0.77(x)

step-by-step explanation:

the jacket retains this value after 23% cut or retains 77% of original value. plug original 87 jacket price for x and the remaining value should be y.

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.