There are 20 random box lunches at a conference for teachers. They are all the same except 10 of the lunches have peanut butter cookies, 5 have snicker doodle cookies, and the last 5 boxes have chocolate chip. Knowing this a math teacher realizes that he has a 25% chance of randomly picking a box with a chocolate chip cookie. What type of probability did the teacher use?
A) Empirical probability
B) Authentic probability
C) Subjective probability
D) Theoretical probability

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this

the 4th choice is the correct one

step-by-step explanation:

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

see below

step-by-step explanation:

x+2> 6

subtract 2 from each side

x+2-2 > 6-2

x > 4

there is an open circle at 4 since is it is greater than and the line goes to the right