Answer:
1=20
Step-by-step explanation:
40 divided by 2 is 20 so
1=20
Given:
6 male professores
9 female professores
5 male teaching assistants
6 female teaching assistants
Sol:.

N (professors)

N(Male)

N(professors and male)

N(professors OR male) = N(professors) + N(males) -N(professor OR male)

N(People to choose from)

Then probablitiy is:

Then the probability is 10/13
Step-by-step explanation:
8.
Prime factorization of 48 is :

Option (3) is true.
9.
Prime factorization of 19 is:
19 = 19 × 1
Option (c) is correct.
(10).
Prime factorization of 924 is:
924 = 2 x 2 x 3 x 7 x 11
= 2² x 3¹ x 7¹ x 11¹
Hence, this is the required solution.
Answer:
The angles are vertical
Step-by-step explanation:
x+42+2x+1=180
put the like terms together i.e 2x+x+42+1=180
you get: 3x+43=180
Take 43 to th other side of 180 i.e 3x=180-43 i.e (180-43=137)
You get 3x=137
Divide both sides by 3
you get x=45.666666666667(Round off to get 45.67)
Substitute the value of x to the angles
x+42(45.67+42=87.67)
2x+1(2(45.67)+1=92.34
Add 87.67+92.34=180
THis shows that the angles are vertical
Answer:
35 grams
Step-by-step explanation:
The ratio of zinc to copper is 3 to 11
A jar of chemical contains 385 grams if copper
Therefore the number of grams of zinc it contains can be calculated as follows
3/11= x/385
11x= 385
x= 385/11
= 35 grams
Hence the chemical contains 35 grams of zinc