Apoll asked 15 men in two age groups, 30 and younger and older than 30, whether they had facial hair (mustache, beard, sideburns, the results are recorded in the table.
person | age | facial hair
1 30 and younger yes
2 30 and younger no
3 older than 30 no
4 30 and younger no
5 older than 30 no
6 older than 30 yes
7 older than 30 yes
8 older than 30 no
9 30 and younger yes
10 30 and younger yes
11 older than 30 yes
12 30 and younger yes
13 older than 30 yes
14 30 and younger no
15 older than 30 yes
create a two-way related to frequency table that displays the relative frequency of the man 30 and younger and older men older than 30 who had or did not have facial hair. express your answers as decimals written to three decimal places

                                  Facial hair

                                Yes         No         Total

Age    

30 and younger       0.267     0.200   0.467

older than 30           0.333     0.200    0.533

Total                         0.600     0.400    1.000

Step-by-step explanation:

1.  Count the number of people for each category:

a) People who were 30 and younger and had facial hair:

Total: 4 people were 30 and younger and had facial hair

b) People who were 30 and younger and did not have facial hair:

Total: 3 people were 30 and younger and did not have facial hair

c) People who were older than 30 and had facial hair:

Total: 5 people were older than 30 and had facial hair.

d) People who were older than 30 and did not have facial hair:

Total: 3 people were older than 30 and did not have facial hair.

2. Build a two way table with the absolute frequencies:

                                Facial hair

                                Yes         No     Total

Age    

30 and younger       4               3          7

older than 30           5               3          8

Total                         9               6         15

3. To build the two-way relative frequency table, divive each absolute frequency by the total number of men (15):

These are the quotients:

Now write the table with the relative frequencies:

                                Facial hair

                                Yes         No         Total

Age    

30 and younger       0.267     0.200   0.467

older than 30           0.333     0.200    0.533

Total                         0.600     0.400    1.000

And that is the requested table written to three decimal places.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47