Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Experimental probability
13
13
13
. In a perfectly competitive labor market, an increase in an effective minimum wage will result in
\newline
(A) an increase in the supply of workers
\newline
(B) a decrease in the supply of workers
\newline
(C) a decrease in the demand for workers
\newline
(D) more workers being hired
\newline
(E) fewer workers being hired
Get tutor help
The chips shown are placed in a bag and drawn at random, one by one, without replacement.
\newline
What is the probability that the first two chips drawn are both red?
\newline
The probability is
□
\square
□
\newline
(Simplify your answer.)
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
Madison started hiking at an elevation of
4
4
4
meters above sea level. She hiked up at a rate of
3
3
3
meters per minute. The graph below represents the relationship between the number of minutes and the elevation.
1
1
1
) What is the slope of the line? slope
=
=
=
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
(a) A certain committee consists of
16
16
16
people. From the committee, a president, a vice-president, a secretary, and a treasurer are to be chosen. In how many ways can these
4
4
4
offices be filled? Assume that a committee member can hold at most one of these offices.
\newline
□
\square
□
\newline
(b) A company has
37
37
37
salespeople. A board member at the company asks for a list of the top
5
5
5
salespeople, ranked in order of effectiveness. How many such rankings are possible?
\newline
□
\square
□
Get tutor help
Suppose we want to choose
6
6
6
letters, without replacement, from
9
9
9
distinct letters.
\newline
(a) If the order of the choices is not relevant, how many ways can this be done?
\newline
□
\square
□
\newline
(b) If the order of the choices is relevant, how many ways can this be done?
\newline
□
\square
□
Get tutor help
A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter. The letters
D
,
G
D, G
D
,
G
, and
Z
Z
Z
and the digit
8
8
8
will not be used. So, there are
23
23
23
letters and
9
9
9
digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?
Get tutor help
\begin{tabular}{|c|c|c|c|}
\newline
\hline Question
5
5
5
, & ר & HW Score:
73.89
%
73.89 \%
73.89%
, & \{్ర \\
\newline
\hline Part
3
3
3
of
4
4
4
& & (x) Points:
0
0
0
.
5
5
5
of
1
1
1
& Save \\
\newline
\hline
\newline
\end{tabular}
\newline
A simple random sample of size
n
=
14
n=14
n
=
14
is obtained from a population with
μ
=
69
\mu=69
μ
=
69
and
σ
=
16
\sigma=16
σ
=
16
.
\newline
(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of
x
ˉ
\bar{x}
x
ˉ
.
\newline
(b) Assuming the normal model can be used, determine
P
(
x
ˉ
<
73.4
)
\mathrm{P}(\bar{x}<73.4)
P
(
x
ˉ
<
73.4
)
.
\newline
(c) Assuming the normal model can be used, determine
P
(
x
ˉ
≥
70.7
)
P(\bar{x} \geq 70.7)
P
(
x
ˉ
≥
70.7
)
.
\newline
(a) What must be true regarding the distribution of the population?
\newline
A. Since the sample size is large enough, the population distribution doe need to be normal.
\newline
B. The sampling distribution must be assumed to be normal.
\newline
C. The population must be normally distributed.
\newline
D. The population must be normally distributed and the sample size must be large.
\newline
Assuming the normal model can be used, describe the sampling distribution
x
ˉ
\bar{x}
x
ˉ
. Choose the correct answer below.
Get tutor help
A coin is flipped and a number cube is rolled. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions.
\newline
(a) How many outcomes are there?
\newline
□
\square
□
outcome(s)
\newline
(b) How many outcomes involve rolling a
2
2
2
or a
3
3
3
?
\newline
□
\square
□
outcome(s)
\newline
(c) How many outcomes involve tails and an odd number?
\newline
□
\square
□
outcome(s)
Get tutor help
Shaq tried
18
18
18
free throw attempts playing basketball. He succeeded
0
0
0
times.
\newline
What is the experimental probability of succeeding on his next attempt? Write your answer as a fraction.
Get tutor help
A company that manufactures small canoes has a fixed cost of
$
24
,
000
\$ 24,000
$24
,
000
. It costs
$
40
\$ 40
$40
to produce each canoe. The selling price is
$
160
\$ 160
$160
per canoe. (In solving this exercise, let
x
x
x
represent the number of canoes produced and sold.)
\newline
a. Write the cost function.
\newline
C
(
x
)
=
□
\mathrm{C}(\mathrm{x})=\square
C
(
x
)
=
□
(Type an expression using
x
\mathrm{x}
x
as the variable.)
Get tutor help
Review
:
≡
: \equiv
:≡
\newline
Bookmark
\newline
GRADE
8
8
8
MATHEMATICS - UNIT
3
3
3
/ UNIT
3
3
3
(CALCULATOR) /
6
6
6
OF
10
10
10
\newline
60
%
60 \%
60%
\newline
Quadrilaterals
R
S
T
U
R S T U
RST
U
and
A
B
C
D
A B C D
A
BC
D
are shown on the coordinate plane.
\newline
Listen
\newline
A student says that the quadrilaterals are not similar because they are not the same shape. The student also says that the quadrilaterals are not congruent.
\newline
- Determine whether the student is correct in terms of similarity. Explain your answer.
\newline
- Determine whether the student is correct in terms of congruence. Explain your answer.
\newline
- Use a sequence of transformations as part of your explanations.
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
a. Write an equation to represent the nangei. b. Explain how to reason with the hanger to find the value of
x
x
x
. Q. Explain how to reason with the equation to find the value of
x
x
x
. Andre says that
x
x
x
is
7
7
7
because he can move the two
1
1
1
s with the
x
x
x
to the other side. Do you agree with Andre? Explain your reasoning.
Get tutor help
Chinese YMCA Secondary School (Mathematics Paper
1
1
1
)
\newline
16
16
16
. 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. (
4
4
4
marks)
\newline
let
b
b
b
be the sell of a baguette
Get tutor help
Chinese YMCA Secondary School (Mathematics Paper
1
1
1
)
\newline
16
16
16
. 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. (
4
4
4
marks)
\newline
Let
b
b
b
be the sell, of a baguetie
Get tutor help
On January
1
st
,
2014
1^{\text {st }}, 2014
1
st
,
2014
, approximately
450
450
450
thousand buildings in the United States (US) had solar panels. This number increased by a total of about
180
180
180
thousand over the next
12
12
12
months. Assuming a constant rate of change, approximately how many months after January
1
st
,
2014
1^{\text {st }}, 2014
1
st
,
2014
would
900
900
900
thousand buildings in the US have solar panels?
\newline
□
\square
□
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
You are coding a game like Shovel Knight. The hero runs along a platform
7
m
7\,\text{m}
7
m
above the ground. The player then jumps off the platform with an initial velocity of
12
m/s
12\,\text{m/s}
12
m/s
at an elevation angle of
30
30
30
degrees to the horizontal. How far from the edge of the platform will she land on the ground (horizontal distance)? Assume
g
=
9.8
m/s
2
g = 9.8\,\text{m/s}^2
g
=
9.8
m/s
2
, ignore air resistance, and leave your answer accurate to one decimal place. To visualize the problem, please see the sketch with example numbers below (beware, the numbers do change in the quiz!).
Get tutor help
The traditional Australian game of 'Two-Up' involves tossing two coins. Players can bet either on two heads (HH) or two tails (TT). If a head and a tail is thrown (HT or TH), the player continues tossing until either HH or TT results. If
5
5
5
successive tosses result in a
H
\mathrm{H}
H
and
T
\mathrm{T}
T
, all bets loose, and the game is finished.
\newline
Using your table from Question (
3
3
3
), answer the following questions:
\newline
(a) Find the probability that the game finishes on the first toss. Explain your answer.
\newline
(
2
2
2
marks)
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
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
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
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
tion list
\newline
A group consists of four Democrats and eight Republicans. Three people are selected to attend a conference.
\newline
a. In how many ways can three people be selected from this group of twelve?
\newline
b. In how many ways can three Republicans be selected from the eight Republicans?
\newline
c. Find the probability that the selected group will consist of all Republicans.
\newline
estion
4
4
4
\newline
estion
5
5
5
\newline
a. The number of ways to select three people from the group of twelve is
□
\square
□
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
1
2
3
Next