Ron randomly pulls a pen out of a box that contains 1 red, 2 black, and 3 blue pens. He does this 4 times, replacing the pen each time, but pulls out a blue pen only 1 time. Ron concludes
that the observed frequency of pulling a blue pen will eventually be closer to the expected
frequency based on the theoretical probability of pulling a blue pen. Which reasoning best
supports his conclusion?
The experimental probability of pulling a blue pen based on the observed frequency will get closer
to as the number of trials increases.
The experimental probability of pulling a blue pen based on the observed frequency will get closer
to as the number of trials increases.
The theoretical probability of pulling a blue pen based on the expected frequency will get closer to
2 as the number of trials increases.
The theoretical probability of pulling a blue pen based on the expected frequency will get closer to
1 / 3 as the number of trials increases.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

to determine the unit cost your would divide the total cost by the number sold.

7 bagels for $4.41       $4.41/7 = $.63 each at fresh side

5 bagels for $3.60         $3.60/5 = $.72 each at value mart

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

$450 i think. hope this ☺