Answer: 36
Step-by-step explanation:
1) substitute x for 6
get f(-5)=6(1--5)= 6+30=46
Answer:
(i) Breadth = 14 cm
(ii) Perimeter = 176 cm
Step-by-step explanation:
Given,
- Area of a rectangle =
cm²
- Length =
cm
(i) Breadth = ?
We know that, Area of a rectangle = length × breadth.
Then,

(ii) Perimeter of a rectangle = 2 (length + breadth)
Then,


Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
Answer:
The feasible region in the attached figure
Step-by-step explanation:
Let
x ----> the number of shirts
y ----> the number of pants
we know that
The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80
so
The inequality that represent this problem is

using a graphing tool
The feasible region is the triangular shaded area
see the attached figure
Answer:


Step-by-step explanation:
1. 



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2. 


