Local county officials have heard reports that a service station is allowing cars 20 years and older with known violations to pass their annual safety inspection. From administrative data, they know 30% of all cars 20 years and older do not pass their annual safety inspection. To test their theory about the service station, they request records from the most recent 150 inspections of cars of this type, finding 30 of the 150 had been rejected. Let p be the true rate of cars 20 years and older that do not pass their annual safety inspection from this service station. What are the implied null and alternative hypotheses local county officials are testing? Assuming the true value of p is 0.3, which expression is the correct way to compute a test statistic for the proportion observed in the sample?

x = 23.78

step-by-step explanation:

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: the sun

explanation:

water cycle describes the evaporation of water from earth's surface, formation of clouds and precipitation water back onto the surface of earth. seventy percent of the earth is covered with water in the form of seas and oceans. the heat of the sun causes the evaporation of water from the surface of the ocean. the water vapors rise and condense to form water droplets. the collection of these water droplets form clouds which rain down again.

the evaporation of the oceans surface water as part of the water cycle is caused by the sun