What polygon is obtained by graphing the given system of inequalities? What is the area of the polygon bounded by the inequaliti
es?
y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6
The polygon obtained by graphing the system of inequalities is a
A) triangle
B) trapezoid
C) square
D) rectangle
The area of the polygon bounded by the inequalities is ___square units.
A) 15
B) 16
C) 24
D) 25
y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6
The polygon obtained by graphing the system of inequalities is a
A) triangle
B) trapezoid
C) square
D) rectangle
The area of the polygon bounded by the inequalities is ___square units.
A) 15
B) 16
C) 24
D) 25
2 answers:
Answer:
The polygon obtained by graphing the system of inequalities is:
D) Rectangle.
The area of the polygon bounded by the inequalities is:
A) 15 square units.
Step-by-step explanation:
We are given a system of inequalities as:
y ≥ 1
x ≥ 1
y ≤ 4
x ≤ 6
- Now when we graph these inequalities in a coordinate plane ; we will obtain a rectangle as a region bounded by these inequalities whose vertex are marked in the graph.
Also,
Length of one side of rectangle=5 units.
and length of the other side of the rectangle= 3 units.
- Hence, the Area of rectangle so obtained is:
5×3=15 square units.
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Answer:
a) 0.064
b) 0.109
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 181 centimeter
Standard Deviation, σ = 7.3 centimeter
We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.
Formula:
a) P(person is between 160 and 170 centimeters)
b) P(person is higher than 190 centimeter)
P(x > 190)
Calculation the value from standard normal z table, we have,
a. We're looking for such that
b. Integrating with respect to will make things easier.
(where we take the positive square root because we know )
Now we want to find such that