Multiple Births The following data represent the number of live multiple-delivery births (three or more babies) in 2012 for women 15 to 54 years old.
Age: 15-19
Number of Multiple Births:44
Age: 20-24
Number of Multiple Births:404
Age: 25-29
Number of Multiple Births:1204
Age: 30-34
Number of Multiple Births:1872
Age: 35-39
Number of Multiple Births:1000
Age:49-44
Number of Multiple Births:332
Age: 45-54
Number of Multiple Births:63

Source: National Vital Statistics Report

(a) Construct a probability model for number of multiple births.
(b) In the sample space of all multiple births, are multiple births
for 15- to 19-year-old mothers unusual?
(c) In the sample space of all multiple births, are multiple births
for 40- to 44-year-old mothers unusual?

Solution:

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

a. is correct

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: