Six of the nine students are from Middle Georgia State College. What is the probability that both of the interviewed students are from Middle Georgia State College? Express your answer as a reduced fraction or decimal rounded to at least four decimal places.

5/12

Step-by-step explanation:

Six of the nine students are from Middle Georgia State College.

The probability that the first student that's interviewed is from Middle Georgia State College will be 6/9.

Now, when the second student is picked, there'll be 8 students left out of which 5 will be from Middle Georgia State College. Therefore, the probability of choosing someone from there is 5/8.

Now, the probability that both of the interviewed students are from Middle Georgia State College will be:

= 6/9 × 5/8

= 2/3 × 5/8

= 10 / 24

= 5/12

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .