Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Experimental probability
Caden's savings account had
A
A
A
in its first year. Each year since then, his account accumulated interest amounting to
r
r
r
of the balance in the previous year. Let
f
(
n
)
f(n)
f
(
n
)
be Caden's account balance at the
n
n
n
-th year of the saving.
f
(
n
)
f(n)
f
(
n
)
is a sequence. What kind of sequence is it? Complete the recursive formula for
f
(
n
)
f(n)
f
(
n
)
.
Get tutor help
Reggie just became a personal trainer and is finalizing his pricing plans. One plan is to charge
$
30
\$30
$30
for the initial consultation and then
$
35
\$35
$35
per session. Another plan is to charge
$
40
\$40
$40
for the consultation and
$
30
\$30
$30
per session. Reggie realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that?
\newline
Write a system of equations, graph them, and type the solution.
\newline
_
_
_
_
\_\_\_\_
____
sessions
\newline
Get tutor help
Estelle and her cousin, Marshall, are debating how many walnuts to add to their banana-nut bread. Estelle wants to add
2
3
\frac{2}{3}
3
2
of a cup, and Marshall wants to add
0.75
0.75
0.75
cups.
\newline
Who wants to add more walnuts to the bread?
\newline
Choices:
\newline
(A)Estelle
\newline
(B)Marshall
Get tutor help
Gabby and Carla needed some construction paper for an art project. Gabby bought a package that has sheets of paper
1
100
\frac{1}{100}
100
1
of an inch thick. Carla bought a package that has sheets
0.012
0.012
0.012
inches thick.
\newline
Which girl bought the thicker paper?
\newline
Choices:
\newline
(A)Gabby
\newline
(B)Carla
Get tutor help
Chase is comparing music subscription prices. A
12
12
12
-month subscription with All Ears costs
91.80
91.80
91.80
$
\$
$
and a
3
3
3
-month subscription with Press Play costs
19.35
19.35
19.35
$
\$
$
. Which service costs less per month?
\newline
Choices:
\newline
(A)All Ears
\newline
(B)Press Play
Get tutor help
Jake read
3
5
\frac{3}{5}
5
3
of the items on his recommended reading list. Mitch read
13
%
13\%
13%
of the items on his list. Who read a greater percentage of his reading list?
\newline
Choices:
\newline
(A)Jake
\newline
(B)Mitch
Get tutor help
According to sales statistics at a local newspaper and a local magazine,
19
%
19\%
19%
of the newspaper's new subscribers renewed their subscriptions, compared to
7
10
\frac{7}{10}
10
7
of the magazine's new subscribers. Which publication had a greater percentage of new subscribers renew their subscriptions?
\newline
Choices:
\newline
(A)newspaper
\newline
(B)magazine
Get tutor help
During study hall, Cindy finished
82
%
82\%
82%
of the problems from her math homework. Leslie did
1
10
\frac{1}{10}
10
1
of the problems from her math homework. Who did a greater percentage of her math problems?
\newline
Choices:
\newline
(A)Cindy
\newline
(B)Leslie
Get tutor help
A supermarket found that
81
%
81\%
81%
of customers bought vegetables and
1
2
\frac{1}{2}
2
1
of customers bought fruit. Which purchase was made by a greater percentage of customers?
\newline
Choices:
\newline
(A) vegetables
\newline
(B) fruit
Get tutor help
During a fundraiser, Marcy made phone calls and got a voicemail message on
1
2
\frac{1}{2}
2
1
of her phone calls. Frank got a voicemail message
99
%
99\%
99%
of the time. Who got a greater percentage of voicemail messages?
\newline
Choices:
\newline
(A) Marcy
\newline
(B) Frank
Get tutor help
Tim visited
23
%
23\%
23%
of his favorite websites. Hunter visited
1
2
\frac{1}{2}
2
1
of his favorite websites. Who visited a greater percentage of his favorite websites?
\newline
Choices:
\newline
(A)Tim
\newline
(B)Hunter
Get tutor help
At Franco's car lot,
57
%
57\%
57%
of the cars sold were blue. Across the street,
9
10
\frac{9}{10}
10
9
of the cars sold at Jerry's car dealership were blue. Which business sold a greater percentage of blue cars?
\newline
Choices:
\newline
(A) Franco's car lot
\newline
(B) Jerry's car dealership
Get tutor help
Jayden and his mom have been saving recycling items for months, and today they traded them in. They made
$
42
\$42
$42
on cans,
$
19
\$19
$19
on glass bottles, and
$
32
\$32
$32
on plastic bottles. Jayden estimates that they made around
$
140
\$140
$140
. Is that a good estimate?
\newline
Choices:
\newline
(A) Yes.
\newline
(B) No, it is much too high.
\newline
(C) No, it is much too low.
Get tutor help
By dinnertime, Bella had finished
7
8
\frac{7}{8}
8
7
of the questions from her history homework. Her friend, Shivani, had finished
1
4
\frac{1}{4}
4
1
of the questions from her homework. Who had finished a greater fraction of her questions?
\newline
Choices:
\newline
(A) Bella
\newline
(B) Shivani
Get tutor help
Ronnie and Roxanne went to the track after school. Ronnie ran
6
6
6
laps in
15
15
15
minutes. Roxanne ran
9
9
9
laps in
20
20
20
minutes. Who ran faster?
\newline
Choices:
\newline
(A)Ronnie
\newline
(B)Roxanne
Get tutor help
A shipment of sugar fills
10
10
10
containers. If each container holds
2
3
4
2 \frac{3}{4}
2
4
3
tons of sugar, what is the amount of sugar in the entire shipment?
\newline
Write your answer as a mixed number in simplest form.
Get tutor help
Katie is measured every year at her annual checkup. When she was
11
11
11
, she was
57
57
57
inches tall. When she was
12
12
12
, she was
59
59
59
inches tall. She just turned
13
13
13
, and now she is
63
63
63
inches tall. Is the relationship between Katie's age and her height a linear relationship?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
\newline
Now, justify your answer.
\newline
Choices:
\newline
(A)Katie's height increased by the same amount each year.
\newline
(B)Katie's height increased by a different amount each year.
\newline
(C)Katie got taller every year.
\newline
(D)Katie's age increased by
1
1
1
every year.
Get tutor help
The cafeteria director at Great Minds School wants to know what percent of the students would choose vegetarian entrees if they were available.
\newline
Which of the following survey methods will allow the director to make a valid conclusion about the percentage of students who would choose vegetarian entrees?
\newline
Choose
1
1
1
answer:
\newline
(A) Sort a list of the students into a random order, then ask the first
35
35
35
students on the list.
\newline
(B) Ask the first
35
35
35
students in line for the cafeteria.
Get tutor help
You're having dinner at a restaurant that serves
5
5
5
kinds of pasta (spaghetti, bow ties, fettuccine, ravioli, and macaroni) in
4
4
4
different flavors (tomato sauce, cheese sauce, meat sauce, and olive oil).
\newline
If you randomly pick your kind of pasta and flavor, what is the probability that you'll end up with something other than tomato spaghetti?
Get tutor help
Baguette sold
2
2
2
identical baguettes at the same price. One was sold at a
20
%
20\%
20%
profit and another was sold at a
20
%
20\%
20%
loss. Is there an overall profit or loss? Explain.
Get tutor help
At Downtown Pizza,
4
4
4
of the last
6
6
6
pizzas sold had pepperoni. What is the experimental probability that the next pizza sold will have pepperoni?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
P
(
\mathrm{P}(
P
(
pepperoni
)
=
)=
)
=
□
\square
□
Get tutor help
Of the
18
18
18
people who have signed up for a genetics lecture,
8
8
8
have hazel eyes. What is the experimental probability that the next person to sign up will have hazel eyes?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
P
(
hazel
)
=
_
_
_
_
P(\text{hazel}) = \_\_\_\_
P
(
hazel
)
=
____
Get tutor help
Diane has pulled
2
2
2
green marbles and
10
10
10
other marbles from a large bag. What is the experimental probability that the next marble selected from the bag will be green?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
P
(
green
)
=
_
_
_
_
P(\text{green}) = \_\_\_\_
P
(
green
)
=
____
Get tutor help
Debbie's Cupcakes recently sold
3
3
3
vanilla cupcakes and
3
3
3
other cupcakes. What is the experimental probability that the next cupcake sold will be a vanilla cupcake? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
vanilla cupcake
)
=
_
_
P(\text{vanilla cupcake}) = \_\_
P
(
vanilla cupcake
)
=
__
Get tutor help
The population of a city decreases by
3
%
3 \%
3%
per year. What should we multiply the current population by to find next year's population in one step?
\newline
Answer:
Get tutor help
Scarlett owns a small business selling ice-cream. She knows that in the last week
49
49
49
customers paid cash,
2
2
2
customers used a debit card, and
4
4
4
customers used a credit card.
\newline
Based on these results, express the probability that the next customer will pay with cash as a fraction in simplest form.
\newline
Answer:
Get tutor help
Aria has a bag that contains strawberry chews, lemon chews, and watermelon chews. She performs an experiment. Aria randomly removes a chew from the bag, records the result, and returns the chew to the bag. Aria performs the experiment
44
44
44
times. The results are shown below:
\newline
A strawberry chew was selected
7
7
7
times.
\newline
A lemon chew was selected
16
16
16
times.
\newline
A watermelon chew was selected
21
21
21
times.
\newline
Based on these results, express the probability that the next chew Aria removes from the bag will be a flavor other than watermelon as a percent to the nearest whole number.
\newline
Answer:
Get tutor help
A box contains
16
16
16
transistors,
4
4
4
of which are defective. If
4
4
4
are selected at random, find the probability of the statements below.
\newline
a. All are defective
\newline
b. None are defective
\newline
a. The probability is
□
\square
□
.
\newline
(Type a fraction. Simplify your answer.)
\newline
b. The probability is
□
\square
□
.
\newline
(Type a fraction. Simplify your answer.)
Get tutor help
At Downtown Dogs,
10
10
10
of the last
15
15
15
customers wanted mustard on their hot dogs. What is the experimental probability that the next customer will want mustard? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
mustard
)
=
_
_
P(\text{mustard}) = \_\_
P
(
mustard
)
=
__
Get tutor help
Irma supplies costumes to a number of theater companies. She recently provided
18
18
18
different hats, including
4
4
4
fedoras. What is the experimental probability that the next hat requested from Irma's inventory will be a fedora? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
fedora
)
=
_
_
_
_
P(\text{fedora}) = \_\_\_\_
P
(
fedora
)
=
____
Get tutor help
Brennan's Breakfast Goodies recently sold
20
20
20
muffins, of which
4
4
4
were pumpkin spice muffins. What is the experimental probability that the next muffin sold will be a pumpkin spice muffin? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
pumpkin spice muffin
)
=
_
_
P(\text{pumpkin spice muffin}) = \_\_
P
(
pumpkin spice muffin
)
=
__
Get tutor help
At Donut King,
4
4
4
of the last
16
16
16
donuts sold had sprinkles. What is the experimental probability that the next donut sold will have sprinkles? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
sprinkles
)
=
_
_
_
P(\text{sprinkles}) = \_\_\_
P
(
sprinkles
)
=
___
Get tutor help
Hometown Donuts recently sold
19
19
19
donuts, of which
6
6
6
were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
cream-filled donut
)
=
_
_
P(\text{cream-filled donut}) = \_\_
P
(
cream-filled donut
)
=
__
Get tutor help
At City Burger,
4
4
4
of the last
8
8
8
customers wanted cheese on their burgers. What is the experimental probability that the next customer will want cheese on his or her burger? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
cheese
)
=
_
_
P(\text{cheese}) = \_\_
P
(
cheese
)
=
__
Get tutor help
An orange-and-green spinner landed on orange
2
2
2
times and on green
18
18
18
times. What is the experimental probability that the next spin will land on orange? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
orange
)
=
_
_
_
P(\text{orange}) = \_\_\_
P
(
orange
)
=
___
Get tutor help
Candice's Cupcakes recently sold
15
15
15
cupcakes, of which
6
6
6
were chocolate cupcakes. What is the experimental probability that the next cupcake sold will be a chocolate cupcake? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
chocolate cupcake
)
=
_
_
P(\text{chocolate cupcake}) = \_\_
P
(
chocolate cupcake
)
=
__
Get tutor help
A florist sold
6
6
6
flower bouquets yesterday, including
3
3
3
daisy bouquets. What is the experimental probability that the next bouquet sold will be a daisy bouquet? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
daisy
)
=
_
_
_
P(\text{daisy}) = \_\_\_
P
(
daisy
)
=
___
Get tutor help
A band played an encore at
2
2
2
of its last
6
6
6
shows. What is the experimental probability that the band will play an encore at its next show? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
encore
)
=
_
_
_
P(\text{encore}) = \_\_\_
P
(
encore
)
=
___
Get tutor help
Of the
12
12
12
people who have taken their seats at a seminar,
2
2
2
have red hair. What is the experimental probability that the next person to take a seat will have red hair? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
red
)
=
_
_
P(\text{red}) = \_\_
P
(
red
)
=
__
Get tutor help
Aubrey's Pie Shop recently sold
6
6
6
cherry pies and
14
14
14
other pies. What is the experimental probability that the next pie sold will be a cherry pie? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
cherry pie
)
=
_
_
_
P(\text{cherry pie}) = \_\_\_
P
(
cherry pie
)
=
___
Get tutor help
Lillian is sitting on a bench in the mall. She noticed that
3
3
3
out of the last
15
15
15
men who walked by had a beard. What is the experimental probability that the next man to walk by will have a beard?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
P
(
beard
)
=
_
_
_
_
P(\text{beard}) = \_\_\_\_
P
(
beard
)
=
____
Get tutor help
Meg surveyed some students at her school about their favorite professional sports. Of the students surveyed,
2
2
2
said football was their favorite sport, while
8
8
8
of the students had other favorite sports. What is the experimental probability that the next student Meg talks to will pick football?
\newline
Simplify your answer and write it as a fraction or whole number.
\newline
P
(
football
)
=
_
_
_
_
P(\text{football}) = \_\_\_\_
P
(
football
)
=
____
Get tutor help
At a glass vase factory,
2
2
2
out of the last
10
10
10
vases produced were chipped. What is the experimental probability that the next vase will be chipped? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
chipped
)
=
_
_
_
_
P(\text{chipped}) = \_\_\_\_
P
(
chipped
)
=
____
Get tutor help
A miniature golf course recently provided its customers with
12
12
12
golf balls, of which
4
4
4
were pink. What is the experimental probability that the next customer will receive a pink golf ball? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
pink
)
=
_
_
_
_
P(\text{pink}) = \_\_\_\_
P
(
pink
)
=
____
Get tutor help
Of the last
12
12
12
contestants on a game show,
3
3
3
qualified for the bonus round. What is the experimental probability that the next contestant will qualify for the bonus round? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
bonus round
)
=
_
_
_
P(\text{bonus round}) = \_\_\_
P
(
bonus round
)
=
___
Get tutor help
A grocery store recently sold
10
10
10
cans of soup,
5
5
5
of which were lentil soup. What is the experimental probability that the next can sold will be lentil soup? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
lentil
)
=
_
_
_
P(\text{lentil}) = \_\_\_
P
(
lentil
)
=
___
Get tutor help
Of the last
20
20
20
balloons sold at a party store,
2
2
2
were red. What is the experimental probability that the next balloon sold will be red? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
red
)
=
_
_
_
P(\text{red}) = \_\_\_
P
(
red
)
=
___
Get tutor help
Of the trains that recently pulled into Westford Station,
16
16
16
were full and
4
4
4
had room for more passengers. What is the experimental probability that the next train to pull in will be full? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
full
)
=
_
_
_
P(\text{full}) = \_\_\_
P
(
full
)
=
___
Get tutor help
Luca works at an appliance store. He recently sold
12
12
12
appliances,
6
6
6
of which were dishwashers. What is the experimental probability that the next appliance Luca sells will be a dishwasher? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
dishwasher
)
=
_
_
P(\text{dishwasher}) = \_\_
P
(
dishwasher
)
=
__
Get tutor help
Dean has worn a white shirt on
6
6
6
of the last
18
18
18
days. What is the experimental probability that Dean will wear a white shirt tomorrow? Simplify your answer and write it as a fraction or whole number.
\newline
P
(
white
)
=
_
_
_
P(\text{white}) = \_\_\_
P
(
white
)
=
___
Get tutor help
1
2
3
Next
