The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. which sentence most closely summarizes the data?
about 160 people weigh more than 165 pounds.
about 320 people weigh more than 165 pounds.
about 320 people weigh less than 165 pounds.
about 640 people weigh less than 165 pounds.

About 160 people weigh more than 165 pounds.

Step-by-step explanation:

The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds.

We know that,

where,

X = raw score = 165

μ = mean = 150

σ = standard deviation = 15

Putting the values,

Finding the value of probability for z=1, from z score table,

Hence, 84% of total men will weigh less than 165 pounds. So 16% of men will be more than 165 pounds, i.e

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

your answer would be 10x - 1