Arestaurant offers hamburgers with one, two, or three patties. let x represent the number of patties a randomly chosen customer orders on their hamburger. based on previous data, here's the probability distribution of x along with summary statistics:

x=# of patties 1 2 3
p(x) 0.40 0.50 0.10
mean: μx=1.7
standard deviation: σx≈0.67
the total price of each burger is set at $2 per patty. let t represent the total price a randomly chosen customer pays for their burger. find the mean of t

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 .

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

16 is the absolute value

step-by-step explanation:

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