Answer: No, the two samples do not have similar values, so more samples are needed.
No, the samples are not representative of the population.
Regal theater sold 321 adult tickets and 227 children tickets.
Step-by-step explanation:
Given,
Cost of each adult ticket = $6.50
Cost of each child's ticket = $3.50
Total tickets sold = 548
Total worth of sold tickets = $2881
Let,
x represent the number of adult tickets sold
y represent the number of child tickets sold
According to given statement;
x+y=548 Eqn 1
6.50x+3.50y=2881 Eqn 2
Multiplying Eqn 1 by 6.50
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 3
Putting y=227 in Eqn 1
Regal theater sold 321 adult tickets and 227 children tickets.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
The range is the difference between the maximum and minimum values:
The mode is the most repeated value of the data set
- This is 3 (repeated 5 times)
he volume of the solid under a surface
z
=
f
(
x
,
y
)
and above a region D is given by the formula
∫
∫
D
f
(
x
,
y
)
d
A
.
Here
f
(
x
,
y
)
=
6
x
y
. The inequalities that define the region D can be found by making a sketch of the triangle that lies in the
x
y
−
plane. The bounding equations of the triangle are found using the point-slope formula as
x
=
1
,
y
=
1
and
y
=
−
x
3
+
7
3
.
Here is a sketch of the triangle:
Intersecting Region
The inequalities that describe D are given by the sketch as:
1
≤
x
≤
4
and
1
≤
y
≤
−
x
3
+
7
3
.
Therefore, volume is
V
=
∫
4
1
∫
−
x
3
+
7
3
1
6
x
y
d
y
d
x
=
∫
4
1
6
x
[
y
2
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
y
2
]
−
x
3
+
7
3
1
d
x
=
3
∫
4
1
x
[
49
9
−
14
x
9
+
x
2
9
−
1
]
d
x
=
3
∫
4
1
40
x
9
−
14
x
2
9
+
x
3
9
d
x
=
3
[
40
x
2
18
−
14
x
3
27
+
x
4
36
]
4
1
=
3
[
(
640
18
−
896
27
+
256
36
)
−
(
40
18
−
14
27
+
1
36
)
]
=
23.25
.
Volume is
23.25
.
