The ability of lizards to recognize their predators via tongue flicks can often mean life or death for lizards. seventeen juvenile common lizards were exposed to the chemical cues of the viper snake. their responses, in number of tongue flicks per 20 minutes, are presented below.421, 370, 727, 659, 268, 727, 217, 574, 489, 710,727, 421, 319, 659, 387, 506, 489a) preliminary data analyses indicate that you can reasonably apply the z-interval procedure. find a 90% confidence interval for the mean number of tongue flicks per 20 minutes for all juvenile common lizards. assume a population standard deviation of 190.0. note: the sum of the data is 8670.confidence interval:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

v,jhvljh,b.b; hk; ljujb,vuvccklokll; k,m,km,

step-by-step explanation:

step-by-step explanation:

(3rd option) - c