Giovanni Food Products produces and sells frozen pizzas to public schools throughout the eastern United States. Using a very aggressive marketing strategy they have been able to increase their annual revenue by approximately $10 million over the past 10 years. But increased competition has slowed their growth rate in the past few years. The annual revenue, in millions of dollars, for the previous 10 years is shown.
Year Revune
1 8.53
2 10.84
3 12.98
4 14.11
5 16.31
6 17.21
7 18.37
8 18.45
9 18.40
10 18.43
Required:
a. Construct a time series plot. Comment on the appropriateness of a linear trend.
b. Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast revenue.
c. Using the trend equation developed in part (b), forecast revenue in year 11.
Answers
Answer and explanation:
Please find attached
Related Questions
Compute the mean, median, and mode for the following three sets of scores saved.
Score 1 Score 2 Score 3
3 34 154
7 54 167
5 17 132
4 26 145
5 34 154
6 25 145
7 14 113
8 24 156
6 25 154
5 23 123
Answers
Answer/Step-by-step explanation:
Score 1:
3, 7, 5, 4, 5, 6, 7, 8, 6, 5
Mean = [tex] \frac{3 + 7 + 5 + 4 + 5 + 6 + 7 + 8 + 6 + 5}{10} = \frac{56}{10} = 5.6 [/tex]
Median: order the data from least to the greatest.
3, 4, 5, 5, 5, 6, 6, 7, 7, 8
The median is average of the fifth and sixth data value in the data set
Median = (5 + 6)/2 = 11/2 = 5.5
Mode = value with the highest frequency = 5
Score 2:
34, 54, 17, 26, 34, 25, 14, 24, 25, 23
Mean = sum of all values/10
Mean = 276/10 = 27.6
Median: order the data set from min to max.
14, 17, 23, 24, 25, 25, 26, 34, 34, 54
The median is average of the fifth and sixth data value in the data set
Median = (25 + 25)/2 = 50/2 = 25
Mode = 25 and 34 (both have frequencies of 2)
Score 3:
154, 167, 132, 145, 154, 145, 113, 156, 154, 123
Mean = sum of all values/10
Mean = 1443/10 = 144.3
Median: order the data set from min to max.
113, 123, 132, 145, 145, 154, 154, 154, 156, 167
The median is average of the fifth and sixth data value in the data set
Median = (145 + 154)/2 = 299/2 = 149.5
Mode = 154
The price for a new car, without sales tax, is
$18,900. The buyer must also pay a 5% state
sales tax. What is the cost of the car includ-
ing the sales tax?
Answers
Answer:
Step-by-step explanation:
18900 divided by 10 = 1890
1890 divided by 2 is 945
945 is 5 percent of 18900
18900 + 945 = 17955
Answer = 19845
5% of 18,900
= 945
The price for the car
= $18,900
$18,900 + 5
= $19,845
How many times greater is the product of 4 x 300 than the product 4 x 30
Answers
Answer:
10 times bigger
Step-by-step explanation:
because if you do 4 times 300 thats 1200
and if you do 4 times 30 then you get 120
and 120 times 10 is 1200 so there you go.
HOPED THIS HELPED!!!!!!!!! :D
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
Answers
Please help I would appreciate
Answers
Answer:
the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Answers
Answer:
[tex]f(0)=-2\\f(1)=e-1[/tex]
Step-by-step explanation:
According to intermediate value theorem, if a function is continuous on an interval [tex][a,b][/tex], and if [tex]k[/tex] is any number between [tex]f(a)[/tex] and [tex]f(b)[/tex], then there exists a value, [tex]x=m[/tex], where [tex]a<m<b[/tex], such that [tex]f(m)=k[/tex]
In the given question,
Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.
Here,
[tex]f(x)=e^x-3+2x[/tex]
Put [tex]x=0[/tex]
[tex]f(0)=e^0-3+2(0)=1-3+0=-2[/tex]
Put [tex]x=1[/tex]
[tex]f(1)=e^1-3+2(1)=e-3+2=e-1[/tex]
At a swimming pool there are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people. If a person is selected at random what is probability that person is either a lifeguard or manager
Answers
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
Fraction form of probability: 10/15
Decimal form: 0.6 repeated
Percent form: about 66.67%
The probability that person is either a lifeguard or manager is 2/3.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
There are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people.
Total = 2 + 8 + 3 + 2 = 15
So, P(lifeguard) = 8/15, P(Manager) = 2/15.
Then, P ( lifeguard or Manager)
= 8/15 + 2/15
= 10/15
= 2/3.
Learn more about Probability here:
https://brainly.com/question/30034780
#SPJ2
lines A and B are parallel lines find the measures of angle 1
Answers
Answer:
33Step-by-step explanation:
alternate angles are equal
see attached
The measure of ∠1 is 33° .
What is alternate interior angles?When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.
According to the question
As given , lines A and B are parallel lines
therefore ,
∠1 = 33°
∠3 = 57°
they are between parallel line and opposite of transversal line
So, they are alternate interior angles and are equal .
Hence, The measure of ∠1 is 33° .
To know more about alternate interior angles here:
https://brainly.com/question/14693114
#SPJ2
GET AN EASY BRAINLIEST FIRST RIGHT GETS BRAINLIEST
Answers
Answer:
5
Step-by-step explanation:
5-9=(-4)
hope this helps :3
Answer:
Can i get a brainliest please? :·3
Step-by-step explanation:
I wasn't here on time
PD: anyone play clash of clans?
PPD: join my clan if you do
PPPD: Link: https://link.clashofclans.com/en?action=OpenClanProfile&tag=2L9YRJYQC
PPPPD: We speak spanish and english
Solving a System of Linear Inequalities
Given the system of inequalities:
4x - 5y = 1
Which shows the given inequalities in slope-intercept
form?
Answers
Y intercept is 0,-1/5
Answer:
y = 4/5x -1/5
Step-by-step explanation:
4x -5y = 1
-5y = -4x + 1
5y = 4x - 1
y = 4/5x - 1/5
Solve for x.
6(x – 1) = 9(x + 2)
Answers
Answer: -8
Step-by-step explanation:
Distribute 6 to x and -1
6x-6=9(x+2)
Distribute 9 to x and 2
6x-6=9x+18
Add 6 to both sides
6x=9x+24
Subtract 9x from both sides
-3x=24
Divide -3 from both sides
X=-8
Add parentheses to make 6-9-2+3x6 equal to 17
Answers
Answer:
6-(9-2)+3x6
Step-by-step explanation:
hope it helps
3x - 4 < 8 and 2x+ 2 > 4
20 points crq
Answers
Answer:
x<4 and x>1
Step-by-step explanation:
1) 3x-4<8
Add 4 to both sides first to isolate x.
3x-4<8
+4 +4
3x<12
Divide both sides by 3.
3x<12
/3 /3
x<4
2) 2x+2>4
Subtract both sides by 2 to isolate x.
2x+2>4
-2 -2
2x>2
Divide both sides by 2.
2x>2
/2 /2
x>1
Hope this helped!! Have an amazing day :3
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answers
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]
Write 1/8% as a decimal number Enter your number in the box
Answers
Answer:
it is 0.125
Step-by-step explanation:
......................
Please help it would help me alot!!!
Answers
Answer: Total cost for 1 ride = $11. Total cost for 2 rides = $14. Total cost for 3 rides = $17. Total cost for 4 rides = $20. Total cost for 5 rides = $23
Step-by-step explanation:
The following relation is a function: {(-8, – 9), (-4, 5), (1, 5), (4, 7)}
Answers
Answer:
Yes
Step-by-step explanation:
The following relation is a function. When graphed, it passes the vertical line test, and you don't go across any two points at the same time. So therefore, it is a function. Another easy way to determine if the relation is a function is by taking a look at the x-coordinates. If any x-coordinates are the same, then it's not a function. If all x-coordinates are the same, then it's a function.
Hope this helps. Please mark brainliest.
In a coordinate plane, plot the points and sketch
angle. Write the coordinates of a point that lies in the interior of the
angle and the coordinates of a point that lies in the exterior of the
angle.
A(-5,0)
B(-1,-4)
C(4,2)
Answers
Answer:
A.
Step-by-step explanation:
Which measure is equivalent to 126 in.?
1 ft = 12 in.
1 yd = 3 ft
Answers
Answer:
3.5 yd is your answer
Step-by-step explanation:
First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.
Divide the amount of inches you have with 12.
126/12 = 10.5
Next, solve for yards. It is given to you that 1 yard = 3 feet.
Divide the amount of feet you have with 3.
10.5/3 = 3.5
3.5 yd is your answer
An analyst wants to include the level of education to a regression model. The level of education has 4 possible values: HS, BS, MS, and PhD. How many dummy variables must the analyst add to the regression model to account for this variable
Answers
Answer:
Three.
Step-by-step explanation:
An analyst wants to include Level of Education in a regression model.
Level of Education has 4 possible values - HS, BS, MS, PHD
How many dummy variables must the analyst add to the regression model, in order to account for the variable LEVEL OF EDUCATION?
Since LOE has 4 possible values, (4 - 1 = 3) dummy variables will be added to the regression model.
If the dummy letter is M for instance, and 1 represents the presence of a particular LOE and 0 represents the absence of that LOE;
M1 = 1 when LOE is HS but =0 when LOE is otherwise
M2 = 1 when LOE is BS but =0 when LOE is otherwise
M3 = 1 when LOE is MS but =0 when LOE is otherwise
So, when M1, M2, M3 are equal to 0, the PHD value is represented.
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
Answers
Hope this helps:)
help please will mark brainliest
Answers
Answer:
step 2
Step-by-step explanation:
sorry if im wrong. Please mark me brainleast
Hope this helped ! :)
In a population of 271 Dd parrots, predators kill 55. What is the approximate fitness of the genotype?
Fitness of Dd: 20%
Fitness of Dd: 40%
Fitness of Dd: 60%
Fitness of Dd: 80%
Answers
Answer:
60%
Step-by-step explanation:
They killed quite a bit and a lot were left.
Four college friends (one is named Cathy) were all accepted to a graduate school.
Answers
Answer:
Wow that is great
Step-by-step explanation:
is there a question? uhhhmmmmm
63+5(8+1/5)
the 6 and 3 is not 63 it is 6 and a 3 in the corner.
Answers
Please find the area and circumference of
the circle below
Answers
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
4cm
2cm
6cm
Find the area please
Answers
Step-by-step explanation:
ummm where is the pic? like bruh
Answer:
48 cm
Step-by-step explanation:
Multiply 4x2x6 and get the answer of 48 cm.
The Law of Large Numbers states that as an experiment is repeated, the relative frequency of an event tends toward the real probability.
a. if the probability of a specific observed event is very small, it is unlikely that the assumption about the probability is correct.
b. the probability of obtaining a favorable outcome increases as the number of trials increases.
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large.
d. the probability that an event will occur is derived from one's increasing knowledge of relevant circumstances.
Answers
Answer:
c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
Step-by-step explanation:
The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.
So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large
2. Manny wants to rent a movie. Each movie costs $1 to rent. The function f(x) = X
represents this situation. Explain what x and f(x) represent in this situation."
Answers
Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was the tip?
Answers
Answer:
18%
Step-by-step explanation:
24-18% is 19.68 which means it took away $4.32.