The quadratic regression equation that models these data is y = - 0.34x ^ 2 + 4.43x + 3.46 Using the quadratic regression equation what was the predicted profit in year 8? A. $ 17.14 million B. $ 17 million C. $ 16.8 million D. $16 million
Answers
Answer:
A. $ 17.14 million.
Step-by-step explanation:
Profit:
The profit, in millions of dollars, on year x, is given by:
[tex]y(x) = -0.34x^2 + 4.43x + 3.46[/tex]
Year 8
This is y(8). So
[tex]y(8) = -0.34(8^2) + 4.43(8) + 3.46 = 17.14[/tex]
$17.14 million, option A.
Related Questions
In a certain region, about 11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year. Show the system of linear equations that models this migration pattern to calculate the new amounts of the population with each service provider. In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP. Find the predicted number of customers for each provider in 2022. Round to the nearest hundredth of a million when reporting the populations.
Answers
Answer:
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
Step-by-step explanation:
Exponential function:
An exponential function has the following format:
[tex]y(t) = y(0)r^t[/tex]
In which [tex]y(0)[/tex] is the initial value and r is the rate of change.
11% of a city's population switches from phone service provider APP to phone service provider BPP each year, and about 5% of the populaton switches from BPP to APP each year.
This means that each year, the BPP amount increases by 11 - 5 = 6%, and the APP decreases by 6%. So the equations are:
BPP:
[tex]B(t) = B(0)(1 + 0.06)^t[/tex]
[tex]B(t) = B(0)(1.06)^t[/tex]
APP:
[tex]A(t) = A(0)(1 - 0.06)^t[/tex]
[tex]A(t) = A(0)(0.94)^t[/tex]
In 2018, there were 1.75 million customers of APP and 2.05 million customers of BPP.
This means that [tex]A(0) = 1.75, B(0) = 2.05[/tex]
Thus
[tex]B(t) = 2.05(1.06)^t[/tex]
[tex]A(t) = 1.75(0.94)^t[/tex]
Find the predicted number of customers for each provider in 2022.
2022 - 2018 = 4, so we have to find A(4) and B(4).
[tex]B(4) = 2.05(1.06)^4 = 2.59[/tex]
[tex]A(4) = 1.75(0.94)^4 = 1.37[/tex]
The predicted number of customers for APP in 2022 is of 1.37 million, and of BPP is of 2.59 million.
Solve each question (a, b, c) and show your work. Thank you <3
Answers
Answer:
a) 112 ft.
b) 256 ft. and 3 seconds
c) 7 seconds
Step-by-step explanation:
a) The model rocket is lauched from a platform. To find the height of the platform, we need to find h when t = 0, because the rocket starts from the platform when no time has elapsed:
[tex]h=-16t^2+96t+112[/tex]
[tex]h=-16*0+96+0+112\\\\h=112[/tex]
Therefore, the height of the platform is [tex]\fbox{112}[/tex] ft.
b) If you learned calculus before, we can find the maximum height easily. We take the derivative of h and set it equal to 0. Remember, the derivative of a function is simply the slope of it at an instantaneous point. At the maximum point of a function, it's slope equals to 0.
[tex]h=-16t^2+96t+112\\h'=-32t+96+0\\h'=-32t+96[/tex]
Ok! Let's set the derivative of h to 0!
[tex]0=-32t+96\\-96=-32t\\t=3[/tex]
We now know how long it takes for the rocket to reach maximum point (t represents seconds), but we also need to find the maximum height. We can simply plug our t=3 into the function of h, because t=3 is the point where the rocket reaches maximum height:
[tex]h(3)=-16(3)^2+96*3+112\\h(3)=-144+288+112\\h(3)=256[/tex]
The maximum height of the rocket is [tex]\fbox{256}[/tex] ft and the rocket takes [tex]\fbox{3}[/tex] seconds to reach the height.
c) The rocket reaches the ground when h equals 0. We can set up the equation to solve for it:
[tex]h=-16t^2+96t+112\\0=-16t^2+96t+112\\0=-16(t+1)(t-7)\\0=(t+1)(t-7)\\t=-1, t=7[/tex]
However, time can never be negative.
Therefore, it takes the rocket [tex]\fbox{7}[/tex] seconds to reach the ground.
I hope this helps! Let me know if you have any questions :)
pls help asap!!
For the following geometric sequence, find the recursive formula.
(-80,20,-5...)
Answers
Answer:
For the geometric sequence, it has two forms of formula
We are interested in the recursive formula now
{-80, 20, -5, ...}
The common ratio is (20/-80)=(-5/20)=-1/4=-0.25
So our recursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)
Step-by-step explanation:
For the geometric sequence, it has two forms of formula
{-80, 20, -5, ...}
The common ratio is (20/-80)=(-5/20)=-1/4=-0.25
So our recursive formula would be a n=a {n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)
Complete the expressions.
Write each answer as a number, a variable, or the product of a number and a variable.
=7r6
=
7r
Commutative property of multiplication
=
Multiply
Answers
Complete question :
Complete the expressions Write each answer as a number, a variable, or the product of a number and a variable 7(9r + 2) = 7 . 9r + 7 . ___ = ___ +
Answer:
2 ; 63r ; 14
Step-by-step explanation:
Given :
7(9r + 2)
Opening the bracket :
7*9r + 7*2 - - - - (1)
Taking the product
63r + 14 - - - - (2)
Now filling the blanks :
First blank corresponds to 2 (from (1))
Second blank corresponds to 63r (from (2))
Third blank should be 14
The ratio of the number of Miki's stickers to the number of Ken's
stickers was 8:7. After Miki gave Ken 18 of her stickers, they had
the same number of stickers. How many stickers did they have in all?
Answers
Answer:
Miki had 288 stickers and Ken had 252 stickers.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
Miki has x stickers.
Ken has y stickers.
The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.
This means that [tex]\frac{x}{y} = \frac{8}{7}[/tex], that is: [tex]7x = 8y[/tex], or [tex]x = \frac{8y}{7}[/tex]
After Miki gave Ken 18 of her stickers, they had the same number of stickers.
This means that:
[tex]x - 18 = y + 18[/tex]
[tex]x - y = 36[/tex]
Since [tex]x = \frac{8y}{7}[/tex]
[tex]\frac{8y}{7} - y = 36[/tex]
[tex]\frac{8y}{7} - \frac{7y}{7} = 36[/tex]
[tex]\frac{y}{7} = 36[/tex]
[tex]y = 36*7 = 252[/tex]
And
[tex]x - y = 36[/tex]
[tex]x = 36 + y = 36 + 252 = 288[/tex]
Miki had 288 stickers and Ken had 252 stickers.
the area of a square is 196m2. What is the length of one side
Answers
Answer:
14
Step-by-step explanation:
Simply take the square root of 196.
Hope that this helps!
Answer:
The side length is 14 m
Step-by-step explanation:
The formula for the area of a square is A = s^2, where s represents the length of one side.
If A = s^2 = 196m^2, we find the side length by taking the square root of both sides:
s = √(196 m^2) = 14 m
The side length is 14 m
What is the equation of a circle with center (1,-4) and radius 2?
O
A. (x-1)2 + (y + 4) = 4
B. (x-1) - (y + 4)2 - 4
O C. (x+1)2 + (y - 4)2 - 4
D. (x - 1)2 + (y + 4)2 - 2
Answers
2x+5x=? hihihihihiihihihihihihihihihi
Answers
Answer:
7x
Step-by-step explanation:
its simple you just add them
solve the inequality |x + 4| < |2x|
Answers
Answer:
Below in bold.
Step-by-step explanation:
One way to do these is to square both sides:
(x + 4)^2 < 4x^2
x^2 + 8x + 16 < 4x^2
3x^2 - 8x - 16 > 0
Let this = 0:
3x^2 - 8x - 16 = 0
(3x + 4)(x - 4) = 0
x = -4/3, 4.
So the critical points are -4/3 and 4.
Make a table:
x < - 4/3 -4/3 +< x <= 4 x > 4
3x + 4 <0 > 0 > 0
x - 4 <0 < 0 > 0
(3x+4)(x-4) >0 <0 > 0
So the solution is x < -4/3 or x > 4
or in interval notation:
(-∞, -4/3) U (4, ∞)
Answer:
See image below for answer:)
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
What is the relative maximum point for the function shown on the graph?
A)(0, -1)
B)(-3,0)
C(-2,-5)
D)(2,5)
Helpppp plzzz
Answers
Answer:
A) (0, -1)
Step-by-step explanation:
A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph)
(0, -1)
El grado absoluto del monomio -7ab^2c^3 es menor que 4
Answers
Which statement best describes the areas and perimeters of the figures?
Answers
Answer:
The last one!
Step-by-step explanation:
PLSSSS ASAPPP!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.
A)169
B)7,056
C)None of these answers are correct
D)7,225
E)13
Answers
Answer:
D. my answer for your question
Males in the Netherlands are the tallest, on average, in the world with an average height of centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of cm and standard deviation of cm.
Required:
a. What is the probability that a Dutch male is shorter than 175 cm?
b. What is the probability that a Dutch male is taller than 195 cm?
c. What is the probability that a Dutch male is between 173 and 193 cm?
d. Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
Answers
Complete Question
Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
Answer:
a. 0.2231
b. 0.1266
c. 0.6591
d. 252 people
Step-by-step explanation:
We solve using the z score formula of
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 183 cm
σ is the population standard deviation = 10.5 cm
a.What is the probability that a Dutch male is shorter than 175 cm?
This is interpreted as when x < 175 cm
Hence:
z = 175 - 183/10.5
z = -0.7619
Probability value from Z-Table:
P(x<175) = 0.22306
Approximately ≈ 0.2231
b.What is the probability that a Dutch male is taller than 195 cm?
This is interpreted as when x > 195 cm
Hence:
z = 195 - 183/10.5
z = 1.14286
Probability value from Z-Table:
P(x<195) = 0.87345
P(x>195) = 1 - P(x<195) = 0.12655
Approximately ≈ 0.1266
c.What is the probability that a Dutch male is between 173 and 193 cm?
For x = 173
z = 173 - 183/10.5
z = -0.95238
Probability value from Z-Table:
P(x = 173) = 0.17045
For x = 193
Hence:
z = 193 - 183/10.5
z = 0.95238
Probability value from Z-Table:
P(x= 193) = 0.82955
Hence, the probability that a Dutch male is between 173 and 193 cm
P(x = 193) - P(x = 173)
0.82955 - 0.17045
= 0.6591
d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?
This is interpreted as when x > 190 cm
Hence,
z = 190 - 183/10.5
= 0.66667
Probability value from Z-Table:
P(x<190) = 0.74751
P(x>190) = 1 - P(x<190)
= 0.25249
Therefore, the number of people we would expect to be taller than 190 cm is
Random number of samples × Probability
= 1000 × 0.25249
= 252.49 people
Approximately≈ 252 people
If a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the final price of a pair of shoes costing $67.50 will be ?
Answers
Answer:
$10
Step-by-step explanation:
In other words, a 25% discount for an item with original price of $40 is equal to $10 Amount Saved Supose Have you received a amazon promotional code of 25 percent of discount.
The final price of the shoe after a series of discounts will be $27.33.
What is a percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that a customer will receive a series of markdowns including 40% off, 25%, and 10% off, the original price is $67.50.
The remaining price will be 60%,75%, and 90% after discounts. Then the final price of the product will be:-
Final price = 67.50 x 0.6 x 0.75 x 0.9
Final price = $27.33
Therefore, the final price of the shoe after a series of discounts will be $27.33.
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ5
I need help in this task pls, says locate the following decimal numbers on the line...the one who helps me I give him points, about 70 points
Answers
Answer:
Listen to the explanation
Step-by-step explanation:
Each dash on the line represents .10 so for the first one where it says .28 it should be about-
|-----|-----|---●-|-----|-----|-----|-----|-----|-----|-----|
0. .10. .20 .30 40 .50. .60 .70 .80 .90 1.0
Do you get what I mean? Haha
Answer:
Assuming that the line goes from zero to one.
If H0 is rejected for an analysis of variance, what can we conclude?
a. We can conclude that all the population means have the same value.
b. We can conclude that at least one of the population proportions has a different value.
c. We can conclude that at least one of the population means has a different value than the other population means.
d. We can conclude that all the population means have different values.
Answers
Answer: We can conclude that at least one of the population means has a different value than the other population means.
Step-by-step explanation:
When the null hypothesis is rejected for an analysis of variance, we can then conclude that at least one of the population proportions has a different value.
For one-way analysis of variance, it should be noted that the null hypothesis is rejected when there is sufficient evidence which is used in making the conclusion that not all the means are equal and that there is a different value.
Find HG and HI. Pleaseeee help :/
Answers
Root 3 = 11/HG
HG = 11/root 3
HG = 6.3cm
Sin 60 = 11/ HI
Root 3 / 2 = 11/HI
Root 3 x HI = 11 x 2
HI = 22/root 3
HI = 12.7cm
Regards,
ArmyCee:)
YO LISTEN UP I GIVE SOMEONE 50 POINTS IF THEY ANSWER THIS QUESTION. answer it correctly
Emma and Zeke own an on-line business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
1) Write an equation describing the relationship between:
a) The number of plain coasters bought and the cost of the coasters.
b) The number of coasters with a logo bought and the price of the coasters.
c) Is either coaster relationship proportional? Explain in writing how you know.
d) Explain what the unit rate of the line described by each equation means in the context of the coasters.
2) EZ Sales also sells plain natural sandstone coasters for $4.00 each.
a) Write the equation describing this relationship.
b) Indicate whether or not it is a proportional relationship and explain why?
c) Will the graph of this equation ever intersect the graph of the equations for either of the other two EZ Coasters? Explain in typing how you made your decision.
Answers
Answer:
.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Find the volume of the frog queen building in Graz, Austria. The building is 18 meters long, 17 meters tall, and 18 meters wide
Answers
Answer: 5,508 m3
Step-by-step explanation: V= 18 x 17 x 18 = 5,508 m3
Answer:5, 508
Step-by-step explanation:
V 18×18×17=5,508
b) 0.00169
(2 mks)
Lower limit =
Upper limit
Answers
Answer:
Top bound = 0.001695
Lower bound = 0.001685
Step-by-step explanation:
The number given is 0.00169
Now, this is in 5 decimal places.
So, the lower bound will be;
0.00169 - 0.000005 = 0.001685
Thus is because rounding 0.001685 will give 0.0169
But for the top bound, we will add 0.000005 to the number;
Thus;
0.00169 + 0.000005 = 0.001695
A ship is traveling at 18 miles per hour from Corsica to Barcelona, a distance of 350 miles. To avoid harsh weather, the ship leaves Corsica on a route 22°south of the direct route. After 7 hours, the harsh weather has been bypassed. Through what angle should the ship now turn to head directly to Barcelona?
Answers
9514 1404 393
Answer:
about 33.4°
Step-by-step explanation:
There are many ways to work this problem. A solution using a geometry program is shown in the attachment. The ship must turn about 33.4° to the north.
__
Another way to work this is to redraw the diagram so the initial starting point is left of the origin on the x-axis. Then the ship's direction can be considered to be straight to the right along the x-axis. The origin is the ship's turning point. The ship's destination can be considered to be 350∠22° from the initial position of the ship. The location of that destination relative to the origin represents the turn the ship must make.
At 18 mph for 7 h, the ship has traveled 126 miles.
Using the above method, the ship's destination relative to the origin is ...
(-126, 0) +(350)(cos(22°), sin(22°)) = (198.514, 131.112)
Then the angle the ship must turn is ...
arctan(131.112/198.514) ≈ 33.44°
The ship must turn about 33.4° to the north to head directly to Barcelona.
10. Which expression represents the cost of x pencils at $0.08 each and y notebooks at $1.70
each?
a. $1.78xy
b. $1.78(x + y)
c. $0.08x + $1.70 y
d. x + y +$1.78
e. $0.08 y + $1.70x
Answers
Answer:
C
Step-by-step explanation:
A, B, and D are all incorrect. The thing is you have to keep the pencils and notebooks separate. Then you add the totals of each. Anything that combines either the cost of one pencil and 1 notebook (such as B 1.78 (x + y) is incorrect.
D is kind of a special case, but it is not correct. The price of one notebook and 1 pencil is $1.78. But then you add 1 pencil and 1 notebook and you get some sort of odd term.
E is wrong. It would be right is y and x were interchanged so the x would go with 0.08
That leaves C which is the correct way to write it.
Using the information in the Box-and-Whisker plot below, what is the minimum value?
A. 5
B. 12.5
C. 20
D. 27.5
Answers
Answer:
espero ayudarte ..............❤❤
Answer:
b
Step-by-step explanation:
Choose___on either side of the line.
Answers
Answer:
__ i dont get this question
Step-by-step explanation:
If the rvalue, or correlation coefficient, of a data set is negative, the
coefficient of determination is negative.
Answers
The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.
What exactly does a negative correlation coefficient mean?Two variables with a negative correlation tend to move in opposing directions.
While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.
The complete question is;
"The given statement is true or false
If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."
Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.
Hence, the given assertion is incorrect.
To learn more about the correlation refer to:
https://brainly.com/question/6563788
#SPJ1
What is the solution to the equation 3 + 4/4y = 4?
Answers
Answer:
B. y= ¼
Step-by-step explanation:
3 + ^4√4y = 4
^4√4y =4-3
^4√4y = 1
^4√4y =^4√1
so, 4y = 1
y = ¼
please help me with the steps thx
find the area
Answers
Answer:
D) [tex]222[/tex] [tex]km^2[/tex]
Step-by-step explanation:
------------------------------
Let's find the surface area of the rectangular prism.
Multiply 7 times 9 for the front side and 7 times 9 again for the back side.
[tex]7*9=63[/tex]
[tex]7*9=63[/tex]
---------->>>>
Multiply 7 times 3 for the left side and 7 times 3 again for the right side.
[tex]7*3=21[/tex]
[tex]7*3=21[/tex]
---------->>>>
Multiply 3 times 9 for the top side and again for the bottom side.
[tex]3*9=27[/tex]
[tex]3*9=27[/tex]
---------->>>>
Now, let's add all these sums.
[tex]63+63+21+21+27+27=[/tex]
[tex]126+42+54=[/tex]
[tex]168+54=[/tex]
[tex]=222[/tex]
------------------------------
Hope this is helpful.
1. Cheryl Douglas works 43 hours in a week for an exempt salary of $1,827 per week. What are Cheryl's gross weekly earnings?
Answers
Answer:
$1827
Step-by-step explanation:
Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.
Hence, Cheryl's gross weekly earning is $1827 per week.
pls help i’ll mark brainliest if your right
Answers
Answer:
628 Cubic Yards
Step-by-step explanation: