1. Multiply 5 by 2 since the piece is twice as long. That is 10.
Multiply 4 by 3 since the piece is 3 times as long. That is 12.
Her piece is 10 x 12.
2 sides of 10 & 2 sides of 12.
Multiply 10 & 12 by 2 to get 20 and 24. Add them together to get 44 inches, which is the perimeter.
2. Multiply 4 x 2 since length is twice width. That is 8.
Multiply 8 x 4 to get the area of the red paper. That is 32.
Multiply 3 x 7 to get the area of the blue paper. That is 21.
Subtract 21 from 32 to get the amount of red paper that wasn't covered up.
11 square cm were not covered up.
Hope this helps!
Answer:
Dom(gof)=Dom(f)={1,3,4}.
(gof)(1)=g{f(1)}=g(2)=3.
(gof)(3)=g{f(3)}=g(5)=1.
(gof)(4)=g{f(4)}=g(1)=3.
∴gof={(1,3),(3,1),(4,3)}.
Answer:
The value of P (A ∩ B) is 0.25.
Step-by-step explanation:
Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.
For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:

It is provided that events <em>A</em> and <em>B </em>are independent of each other.
And P (A) = P (B) = 0.50.
Compute the value of P (A ∩ B) as follows:

Thus, the value of P (A ∩ B) is 0.25.
Answer:
Head bands: 18.58 inches of fabric
Wrist bands : 8.51 inches of fabric
Step-by-step explanation:
Jillian is making accessories for the soccer team.
For head bands
She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.
The total number of people = 39 player + 2 coaches = 41 people
Hence:
41 persons = 761.78 inches of fabric
1 person = x
Cross Multiply
41 × x = 761.78 × 1
x = 761.78/48
x = 18.58 inches
For wristbands
She also uses 331.89 inches of fabric on wristbands for just the players.
Number of players = 39 players
Hence:
39 players = 331.89 inches
1 players = x inches
Cross Multiply
39 × x = 1 × 331.89 inches
x = 331.89 inches/39
x = 8.51 inches
Therefore:
18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.