Professor ivy collects data on the time it takes for ivy tech students to travel to school. she find that she can model the data with the normal distribution. the mean commute time is 27.5 minutes with a standard deviation of 5.2 minutes. based on this data, how many students out of 500 would expect their commute time to be less than 22.3 minutes?

The expected number of students is 79

Step-by-step explanation:

She find that she can model the data with the normal distribution. The formula for normal distribution is expressed as

z = (x - u)/s

Where

x = the time it takes for Ivy Tech students to travel to school.

u = mean time

s = standard deviation

From the information given,

u = 27.5 minutes

s = 5.2 minutes

The probability that a student's commute time would be less than 22.3 minutes is expressed as

P(x lesser than 22.3)

For x = 22.3

z = (22.3 - 27.5)/5.2 = - 1

Looking at the normal distribution table, the corresponding value for a z score of - 1 is 0.15866

The number if students out of 500 whose commute time would be less than 22.3 minutes would be

0.15866 × 500 = 79

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.

the answer is 0.000652422

but if you ment to ask what is 6131 divided by 4, it is 1532.75.

step-by-step explanation: