A factory received a shipment of 19 bolts, and the vendor who sold the items knows there are 7 bolts in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the bolts in the sample are defective, he will refuse the shipment. For each of the following, give your responses as reduced fractions. If a sample of 7 bolts is selected, find the probability that all in the sample are defective. If a sample of 7 bolts is selected, find the probability that none in the sample are defective.

In which quadrant does the point lie? write the coordinates of the point. a. quadrant ii; (–2, –4) b. quadrant iii; (2, 4) c. quadrant iii; (–2, –4) d. quadrant iv; (–4, –2)

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

Iknow the square root of 2 is irrational