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Out of 30 customers at a coffee shop. 14 buy a coffee only,6 buy a tea only and 8 order a doughnut only. State P(coffee order/order doughnut)
Describe two situations that can be modelled with a Graph. Describe the graph model that you will use.
Describe two situations that can be modelled with a Tree. Describe the tree model that you will use.
Describe two situations that can be modelled with a Tree. Describe the tree model that you will use.
Find the equation of a locus of a point so that the square of its distance from (3,-3) is always numerically equal to the slope of the line joining it to the same point
Consider the equation 3x+2y=6 and let point A be the x-intercept and point B be the y-intercept. Find the coordinates of the point P so that (AP) ⃑ is perpendicular to the line and |(AP) ⃑ |=2
7. A plane flies at 300 miles per hour. There is a wind blowing out of the southeast at 86 miles per hour with a bearing of 320°. At what bearing is the plane traveling if the heading of the airplane is 14°? What will be the plane's groundspeed?
6. A force of 600 pounds is required to pull a boat and trailer up a ramp inclined at 15° from horizontal. Find the combined weight of the boat and trailer.
5. To carry a 100 pound cylindrical weight, two people lift on the ends of short ropes that are tied to an eyelet on the top center of the cylinder. One of the ropes makes a 20° angle with the vertical and the other a 30° angle with the vertical. Find the vertical component of each person’s force.
4. Consider vector u which has magnitude 35 at 25° and vector v which has magnitude 50 at 120°.
Find the magnitude and direction of the resultant.
Find the magnitude and direction of the resultant.
Consider vector u which has magnitude 35 at 25° and vector v which has magnitude 50 at 120°. Find the component form of the resultant vector u + v
Find the component form of the unit vector in the direction of u=〈3,4〉.
