A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6 mi from a restuarant on the shore. A woman plans to row the boat straight to a point on the shore amd then walk on the shore to the restaurant.

a. if she walks 3mi/hr and rows at 2mi/hr at which point on the shore shold she land to minimize the total travel time?

b. if she walks 3mi/hr what is the minimum speed at whcih she must row so that the quickest way to the resturant is to row directly (with no walking)

When ∆rst is translated 4 units down, what are the apparent coordinates of t’? give 15 points

Now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

X^2/100+y^2/25=1 the y-intercepts are at: a) (-10,0) and (10,0) b) (0,10) and (0,5) c) (0,-5) and (0,5)