Of all vehicles sold by a certain car dealership, 35% are sports cars. From 50 randomly selected vehicle purchases, use the normal distribution to approximate the probability that less than 14 are sports cars. a) 0.1178
b) 0.1497
c) 0.0911
d) 0.1869

a) 0.1178

Step-by-step explanation:

The calculation is shown below:-

Mean = np

= 50 × 0.35

= 17.5

Standard deviation is

=

=

= 3.373

Therefore, as we know that

P which is Less than 14

So,

= P(X < 13.5)

= P(z < (13.5 - 17.5) ÷ 3.373

= P(z < -1.186)

= 0.1178

Hence, the correct option is a. 0.1178

basically we used the above formulas i.e mean and standard deviation

c

step-by-step explanation:

i think because what else can be a sample of every member

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: