Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. a certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. if a participant completes the walk under a certain time, extra money will be donated. you are responsible for recording the finishing times for each of the participants. after collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.
answer the following questions in complete sentences.
1. what percent of the players finished the walk in less than 2 hours? show your work.
2. what is the probability that two randomly chosen players completed the walk in 2.9 hours or more? show your work.
3. what is the probability that four randomly chosen players completed the walk between 1.7 and 2.9 hours? show your work.
4. what observations can you make about the number of participants who complete the walk in more than 3.5 hours, given that there are 1,200 participants?
5. what might you observe if the number of participants increased or decreased?

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

5

step-by-step explanation: