The partially filled contingency table gives the relative frequencies of the data on age (in years) and sex from the residents of a retirement home.
Male
Female
Total
60-69
0.19
0.2
70-79
0.1
0.1
Over 79 Total
0.11
0.3
1
What is the probability that a resident is male and in the age group 60-79?
a 0.31
C. 0.29
b. 0.28
d. 0.305

g

step-by-step explanation:

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 .

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

answer4 to the second power is 16

and 4 to the third power is 64,