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Math Problems
Precalculus
Identify discrete and continuous random variables
Complete the point-slope equation of the line through
(
−
1
,
6
)
(-1,6)
(
−
1
,
6
)
and
(
1
,
5
)
(1,5)
(
1
,
5
)
. Use exact numbers.
\newline
y
−
6
=
y-6=
y
−
6
=
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X
X
X
is the average height of the passengers on a randomly chosen bus.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
X
X
X
is the height of a randomly chosen teenager.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A)discrete
\newline
(B)continuous
Get tutor help
A game involves a circular spinner with eight sections labeled with numbers.
Z
Z
Z
is the number of the section the spinner lands on.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
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A probability teacher is rolling a die.
X
X
X
is the distance it lands from the teacher.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Z
Z
Z
is the number of desserts available in a randomly chosen restaurant.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Y
Y
Y
is the number of articles in a randomly chosen newspaper.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
A game involves a circular spinner with eight sections labeled with numbers.
Y
Y
Y
is the number of the section the spinner lands on.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Y
Y
Y
is the volume of water used by a randomly chosen household in a month.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
X
X
X
is the combined weight of all the utensils in a randomly chosen kitchen.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Y
Y
Y
is the number of wheels on a randomly chosen vehicle.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
(A)
\text{(A)}
(A)
discrete
\newline
(B)
\text{(B)}
(B)
continuous
\newline
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A game involves a circular spinner with eight sections labeled with numbers.
Z
Z
Z
is the amount of time the spinner spins before coming to a rest.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
X
X
X
is the weight of a randomly chosen dog.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Z
Z
Z
is the number of wheels on a randomly chosen vehicle.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A)discrete
\newline
(B)continuous
Get tutor help
X
X
X
is the amount of time that a randomly chosen student has spent out of the country.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
X
X
X
is the amount of cheese on a randomly chosen pizza.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Z
Z
Z
is the number of times that a randomly chosen water fountain is used in a week.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Z
Z
Z
is the number of reading sessions a randomly chosen public library offers in their literacy program for kids.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
X
X
X
is the length of a randomly chosen person's arm.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Z
Z
Z
is the number of times that a randomly chosen student has traveled out of the country.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Y
Y
Y
is the number of passengers on a randomly chosen bus.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Y
Y
Y
is the combined weight of all the utensils in a randomly chosen kitchen.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Z
Z
Z
is the number of cars sold by a randomly chosen dealership last month.
\newline
Is the random variable
Z
Z
Z
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
Y
Y
Y
is the number of reading sessions a randomly chosen public library offers in their literacy program for kids.
\newline
Is the random variable
Y
Y
Y
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
X
X
X
is the number of times that a randomly chosen water fountain is used in a week.
\newline
Is the random variable
X
X
X
discrete or continuous?
\newline
Choices:
\newline
(A) discrete
\newline
(B) continuous
Get tutor help
An object is attached to a coiled spring. The object begins at its rest position at
t
=
0
t=0
t
=
0
seconds. It is then propelled downward. Write an equation for the distance of the object from its rest position after
t
t
t
seconds, if the amplitude is
2
2
2
, inches and the period is
3
3
3
.
5
5
5
seconds.
\newline
The equation for the distance
d
\mathrm{d}
d
of the object from its rest position is
□
\square
□
.
\newline
(Type an exact answer, using
π
\pi
π
as needed. Use integers or fractions for any numbers in the equation.)
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Determine whether the function
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
4
x=4
x
=
4
.
\newline
f
(
x
)
=
{
20
−
x
2
,
x
≤
4
12
−
2
x
,
x
>
4
f(x)=\left\{\begin{array}{ll} 20-x^{2}, & x \leq 4 \\ 12-2 x, & x>4 \end{array}\right.
f
(
x
)
=
{
20
−
x
2
,
12
−
2
x
,
x
≤
4
x
>
4
\newline
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
4
x=4
x
=
4
\newline
f
(
x
)
f(x)
f
(
x
)
is discontinuous at
x
=
4
x=4
x
=
4
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Determine whether the function
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
3
x=3
x
=
3
.
\newline
f
(
x
)
=
{
7
−
x
2
,
x
<
3
−
6
+
x
,
x
≥
3
f(x)=\left\{\begin{array}{ll} 7-x^{2}, & x<3 \\ -6+x, & x \geq 3 \end{array}\right.
f
(
x
)
=
{
7
−
x
2
,
−
6
+
x
,
x
<
3
x
≥
3
\newline
f
(
x
)
f(x)
f
(
x
)
is discontinuous at
x
=
3
x=3
x
=
3
\newline
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
3
x=3
x
=
3
Get tutor help
Determine whether the function
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
2
x=2
x
=
2
.
\newline
f
(
x
)
=
{
2
−
x
2
,
x
<
2
−
8
+
3
x
,
x
≥
2
f(x)=\left\{\begin{array}{ll} 2-x^{2}, & x<2 \\ -8+3 x, & x \geq 2 \end{array}\right.
f
(
x
)
=
{
2
−
x
2
,
−
8
+
3
x
,
x
<
2
x
≥
2
\newline
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
2
x=2
x
=
2
\newline
f
(
x
)
f(x)
f
(
x
)
is discontinuous at
x
=
2
x=2
x
=
2
Get tutor help
The number of people waiting in line to buy a new piece of technology is measured by the differentiable function
f
f
f
, where
f
(
t
)
f(t)
f
(
t
)
is measured in people and
t
t
t
is measured in minutes after the store opened. What are the units of
1
4
∫
1
5
f
(
t
)
d
t
\frac{1}{4} \int_{1}^{5} f(t) d t
4
1
∫
1
5
f
(
t
)
d
t
?
\newline
minutes
\newline
people
\newline
minutes / person
\newline
people / minute
\newline
minutes / person
2
{ }^{2}
2
\newline
people / minute
2
{ }^{2}
2
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