Answer to the given Hypotheses is : The current shortage in the new car market has made it quicker to sell a car.
In this scenario, we have to determine if the current shortage in the new car market has affected the time it takes a car dealership to sell a new car. To answer this question, we will use the p-value approach.
First, we will determine the null and alternative hypotheses. The null hypothesis (H₀) is that the average time it takes to sell a car has not changed, while the alternative hypothesis (H₁) is that the current shortage in the new car market has made it quicker to sell a car.
H₀: μ = 20
H₁: μ < 20
Second, we will choose the appropriate test statistic and determine the level of significance. In this case, we will use a one-sample t-test, as the population standard deviation is known, and you will use a 5% level of significance (α = 0.05).
Third, we will calculate the test statistic and the p-value. The test statistic is calculated by dividing the difference between the sample mean and the hypothesized population mean by the standard error of the mean.
t = (x' - μ) / (σ / √n)
t = (15 - 20) / (12 / √30)
t = -2.89
Using a t-distribution table with 29 degrees of freedom, the p-value is 0.004.
Since the p-value is less than the level of significance, we reject the null hypothesis and conclude that the current shortage in the new car market has made it quicker to sell a car.
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Find value of X. Round to the nearest tenth. right Triangle 36° , 10, x
●Problem #8
Answer:
x ≈ 8.1
Step-by-step explanation:
using the cosine ratio in the right triangle
cos36° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )
10 × cos36° = x , then
x ≈ 8.1 ( to the nearest tenth )
It is given that f(x) =1/x³, for x > 0. Show that f is a decreasing function.
The function f(x) = 1/x³ is indeed a decreasing function for x > 0.
To show that the function f(x) = 1/x³ is a decreasing function, we need to demonstrate that the derivative of f(x) is negative for all x > 0.
Let's calculate the derivative of f(x) with respect to x:
f'(x) = d/dx (1/x³)
Using the power rule for differentiation, we can rewrite the expression as:
[tex]f'(x) = (-3) / x^{(3+1)[/tex]
Simplifying further, we have:
f'(x) = -3 / x⁴
Now, to show that f(x) is decreasing, we need to prove that f'(x) < 0 for all x > 0.
Substituting x = 1 in f'(x), we get:
f'(1) = -3 / 1⁴ = -3
Since -3 is negative, we can conclude that f'(x) < 0 for all x > 0.
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Find the greatest common factor of 15n³ and 9n.
11
9
X
3
physical sciences 2023
HELP ASAP PLEASE
LATE ASSIGNMENT
The measure of angle ABC is given as follows:
m < ABC = 55º.
How to obtain the measure of angle ABC?First we look to the exterior angle of angle C in the bottom parallel line, as a ray is formed, hence the missing angle measure is given as follows:
50 + 75 + x = 180
125 + x = 180
x = 55º.
The exterior angle relative to angle B is supplementary with the angle of 55º, as they are consecutive angles, hence it’s measure is obtained as follows:
y + 55º = 180
y = 125º.
By the exterior angle theorem, an interior angle is supplementary with it’s respective exterior angle, hence the measure of angle ABC is given as follows:
m < ABC + 125 = 180
m < ABC = 55º.
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how are the shapes alikei need to know
The similarity between the cube and cuboid is that both have 12 edges.
option C.
What is a cube and cuboid?A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
So a cube is a three-dimensional solid figure, having 6 square faces and 12 edges.
A cuboid is a three-dimensional geometric shape that looks like a book or a rectangular box.
A cuboid can be defined as a three-dimensional solid shape that has 12 edges, 8 vertices, and 6 faces and each of its faces is rectangular in shape.
So the similarity between a cube and cuboid is that both have 6 faces and 12 edges.
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Answer this question please
The correct option is D, the parent quadratic function is:
f(x) = x²
Which one is the parent quadratic function?First, we define the parent functions as the simplest function for each type.
For example, the parent linear function is.
y = x
The parent square root function is:
y = √x
The parent absolute value function is:
y = |x|
And so on.
So the parent quadratic function is a polynomial of degree 2 where we only have the quadratic term (and no coefficient).
Thus, the correct option is D; f(x) = x²
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at ghs the ratio of students to teachers is about 14.5 to 1 approximately how many teachers would there be if the school had an enrollment of 205 students
Answer:
14
Step-by-step explanation:
14.5 to 1
205/14.5 = 14
lan is 1.83m tall
Donna is 6cm shorter
What is Donna's height in metres?
Answer:
Step-by-step explanation:
lan is 1.83m tall. Donna is 6cm shorter. What is Donna's height in metres? 1.77m. Bath. √34°. 20m. 11m. 11x14. Work out the range. 3 8 4 8 3 5 9. 9-3=6.
What are the zeros of the function
Answer: i think c
Step-by-step explanation:
$16,000 is deposited into a savings account with an annual interest rate of 2% compounded continuously. How much will be in the account after 4 years? Round to the nearest cent.
The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
Understanding Compound InterestRecall the compounding formula:
A = P * [tex]e^{rt}[/tex]
Where:
A = Final amount in the account
P = Initial principal (deposit)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (as a decimal)
t = Time in years
Given:
Initial principal (P) = $16,000
Annual interest rate (r) = 2% = 0.02
time (t) = 4 years.
Substitute these values into the formula, we get:
A = $16,000 * [tex]e^{0.02 * 4}[/tex]
Using a calculator, we can calculate:
A = $16,000 * [tex]e^{0.08}[/tex]
A = $16,000 * 1.0833
A = $17,332.8
Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
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.....................................................................
Answer:
b
Step-by-step explanation:
Answer:
The correct statement is: The temperature of the object is decreasing exponentially by 0.007% each minute.
Step-by-step explanation:
The exponential term in the function, [tex]e^{0.007 h}[/tex], is greater than 1. This means that the temperature is increasing over time.
However, the exponent is very small, so the increase in temperature is very slow. In fact, the temperature is increasing by only -0.007% each minute.
We can use the following formula to calculate the percent change in temperature each minute.
[tex]\boxed{\bold{Percent\: change = \frac{(new \:value - \:old \: value) }{ old\:value }* 100\%}}[/tex]
In this case, the new value is the temperature after one minute, and the old value is the temperature at the start of the minute.
So, the percent change in temperature is:
[tex]= \frac{10 + 160e^{-0.007 * 1} - 10) }{ 10} * 100\%[/tex]
≈ -0.007%
Therefore, the temperature of the object is decreasing exponentially by 0.007% each minute.
Cody works at a vehicle rental company. The vehicles available to rent are listed in the table.
What is the ratio of seats to engine cylinders in the truck?
The Ratio of seats to engine cylinders in the Ford F-150 truck that Cody wants to rent is approximately 0.625.
The ratio of seats to engine cylinders in the Ford F-150 truck that Cody wants to rent can be calculated by dividing the number of seats by the number of engine cylinders. In this case, the Ford F-150 has a seating capacity of 5 passengers and a V8 engine configuration.
To calculate the ratio, we divide the number of seats (5) by the number of engine cylinders (8):
Ratio of seats to engine cylinders = Number of seats / Number of engine cylinders
Ratio of seats to engine cylinders = 5 / 8
Simplifying the ratio, we get:
Ratio of seats to engine cylinders = 0.625
Therefore, the ratio of seats to engine cylinders in the Ford F-150 truck that Cody wants to rent is approximately 0.625.
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Note the full question may be :
Cody works at a vehicle rental company. The vehicles available to rent are listed in the table below:
Vehicle Type | Seats | Engine Cylinders
----------------------------------------------
Car | 5 | 4
SUV | 7 | 6
Truck | 3 | 8
What is the ratio of seats to engine cylinders in the truck?
A. 1:3
B. 3:8
C. 8:3
D. 3:1
Choose the correct option that represents the ratio of seats to engine cylinders in the truck.
The proportional relationship between cost and pints of blueberries is shown in the table. Blueberries (in pints) 4 10 Cost (in dollars) 18.40 46 Describe what a graph of the proportional relationship would look like.
The graph of the proportional relationship is a linear graph, with slope of 4.6 and intercept of zero.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
Hence the graph is a linear function with slope of k and intercept of zero.
The cost of 4 pints is of $18.4, and the cost of 10 pints is of $46, hence the slope of the relation is given as follows:
k = 46/10 = 18.4/4 = 4.6.
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NO LINKS!! URGENT HELP PLEASE!!!
O is the center of the decagon below. Find its area. Round to the nearest tenth if necessary.
Answer:
752.4
Step-by-step explanation:
Here we are provided with a decagon which has 10 sides.
The total interior angle is 360°.
So each will have 360/10 = 36 degrees
Half of that is 18 degrees inside the triangle.
Refer to the attachment below.
opposite = 16sin(18)
adjacent = 16cos(18)
Find the area of this triangle:
= 1/2 × 16sin(18) × 16cos(18)
= 37.61825
There are 20 triangles just like this so the total area is (37.61825 × 20) = 752.365 ≈ 752.4 unit2
Brandon has 4 cups of powdered sugar. He sprinkles 1/10 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Brandon sprinkle on the brownies?
Based on the fraction of the sugar sprinkled on the Brownies, Brandon sprinkles 0.4 cups of sugar on the brownies
How much sugar does Brandon sprinkle on the brownies?The amount of sugar sprinkled on the Brownies by Brandon is determined as follows:
Data given:
Brandon sprinkles 1/10 of the sugar onto the plate of brownies
Since he has 4 cups of powdered sugar in total
The amount of sugar he sprinkles on the brownies can be calculated as:
amount of sugar = fraction of sugar sprinkled * total amount of sugarThe amount of sugar he sprinkles on the brownies = 1/10 * 4 cups
The amount of sugar he sprinkles on the brownies = 0.4 cups
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Measure of angle 1 is,
Angler ACB = 36 degree
We have to given that;
In a parallelogram we get;
Angler CAD = 36 degree
Now, We know that;
Opposite sides are parallel to each other in a parallelogram.
Hence, We get;
Angler CAD = Angle ACB
Since, Angler CAD = 36 degree
Hence, We get;
Measure of angle 1 is,
Angler ACB = 36 degree
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jasper is picking out his clothes for school he can wear a t shirt polo or sweat shirt as a top for pants khakis jeans sweat pants corduroys and short he can wear boots or tennis shoes or sandals jasper also need a jacket he has a ski and a rain coat and a wool coat how many combinations did jasper pick in total
Jasper has a total of 135 possible combinations for his outfit.
To calculate the total number of combinations that Jasper can pick for his outfit, we need to multiply the number of options for each category: tops, pants, shoes, and jackets.
For tops, Jasper has three options: t-shirt, polo, or sweatshirt.
For pants, he has five options: khakis, jeans, sweatpants, corduroys, or shorts.
For shoes, he has three options: boots, tennis shoes, or sandals.
For jackets, he has three options: ski coat, raincoat, or wool coat.
To calculate the total number of combinations, we multiply the number of options for each category:
3 (tops) × 5 (pants) × 3 (shoes) × 3 (jackets) = 135
Jasper has a total of 135 possible combinations for his outfit.
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Solve. |7x-20|=|2x+20|
To solve the equation |7x - 20| = |2x + 20|, we need to consider two cases based on the absolute values.
Case 1: (7x - 20) = (2x + 20)
Simplifying this equation, we get:
7x - 20 = 2x + 20
Subtracting 2x from both sides:
5x - 20 = 20
Adding 20 to both sides:
5x = 40
Dividing both sides by 5:
x = 8
Case 2: (7x - 20) = -(2x + 20)
Simplifying this equation, we get:
7x - 20 = -2x - 20
Adding 2x to both sides:
9x - 20 = -20
Adding 20 to both sides:
9x = 0
Dividing both sides by 9:
x = 0
Therefore, the solutions to the equation |7x - 20| = |2x + 20| are x = 8 and x = 0.
What is the central idea of Sowells speech Morality vs Sanctimoniousness
Thomas Sowell's speech "Morality vs. Sanctimoniousness" addresses the distinction between genuine moral actions and the outward appearance of moral superiority.
What is the central idea ?The keynote of his speech is to prioritize practical and fruitful measures over merely appearing sensible or righteous. According to Sowell, it is crucial to solve prevalent social problems with pragmatic, yet effective solutions instead of adopting self-righteous attitudes that lack meaningful outcomes.
Essentially, he opines that authentic ethical principles should be anchored in consideration for others' welfare and empirical evidence rather than being fueled by personal moral validation or pretentiousness.
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.3185 degrees = minutes and seconds
The conversion of 3185 degrees to minutes and seconds is 19 minutes and 6.6 seconds
How to convert the 3185 degrees to minutes and secondsFrom the question, we have the following parameters that can be used in our computation:
Degrees = 0.3185
By definition, there are 60 minutes in a degrees
So, we have
Minutes = 0.3185 * 60
Evaluate the product
Minutes = 19.11
The decimal part of the product above represents the number of seconds
So, we have
Minutes = 19
Seconds = .11 * 60
Evaluate
Seconds = 6.6
Hence, .3185 degrees is 19 minutes and 6.6 seconds
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(30 de puncte) SUBIECTUL al III-lea. Scrieți rezolvările complete. 1. Denisa are cu 27 de ani mai puțin decât mama ei, care are cu un an mai puţin decât tatăl fetei. Denisa este de cinci ori mai tânără decât tatăl său. a) Cu câți ani este mai tânără Denisa decât tatăl ei? b) Determină vârsta fetei. (2p) (3p) (Sp)
Answer:
Să rezolvăm această problemă pas cu pas. Să denotăm vârsta Denisei ca D, vârsta mamei sale ca M și vârsta tatălui ei ca F. Din informațiile date, putem scrie următoarele ecuații:
M = D + 27 (Denisa are cu 27 de ani mai puțin decât mama ei) F = M + 1 (mama Denisei are cu un an mai puțin decât tatăl ei) F = 5D (Denisa este de cinci ori mai tânără decât tatăl ei)
a) Din ultima ecuație, putem vedea că Denisa este F - D cu ani mai tânără decât tatăl ei. Înlocuind F cu 5D, înțelegem că Denisa este 5D - D = 4D cu ani mai tânără decât tatăl ei.
b) Pentru a determina vârsta Denisei, putem rezolva sistemul de ecuații. Din prima ecuație, obținem acel M = D + 27. Înlocuind acest lucru în a doua ecuație, obținem acel F = D + 27 + 1 = D + 28. Înlocuind acest lucru în a treia ecuație, obținem acel D + 28 = 5D. Rezolvând pentru D, obținem acel D = 7.
Deci Denisa are 7 ani.
Answer:
Denisa are 7 ani
Step-by-step explanation:
NEED THIS SOLVED ASAP!!!!!!!!!!!! I AM GIVING 15 POINTS
Arm Span (inches) / Height (inches)
58 60
49 47
51 55
19 25
37 39
44 45
47 49
36 35
41 40
46 50
58 61
Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word-processing document. (Recommend me this software so I can do this part).
Using graphing software of your choice, create a scatter plot of your data. Predict the line of best fit, and sketch it on your graph.
Copy and paste your scatter plot into a word-processing document.
The scatter plot for the above data and it's line of best fit is attached accordingly. You may achieve this result using Microsoft Excel.
How to plot scatter plot on Microsoft ExcelEnter your data into two columns in an Excel worksheet. For example, in columns A and B, enter the years and corresponding life expectancies from your given data.
Select the data range by clicking and dragging over the cells containing the data.
Go to the "Insert" tab in the Excel ribbon.
In the "Charts" group, click on the "Scatter" chart type. Choose the scatter plot style that suits your preference (e.g., "Scatter with Straight Lines").
A scatter plot will be created on your worksheet.
Right- click on any data point on the scatter plot and choose "Add Trendline" from the context menu.
In the "Format Trendline" pane that appears on the right side of the screen, select the "Linear" trendline option.
Check the box for "Display Equation on Chart" if you want to show the equation of the line of best fit on the chart.
You can further customize the appearance of the scatter plot and the trendline using various chart formatting options in Excel.
Your scatter plot with the line of best fit is now plotted on Excel.
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Pablo mixed 2 1/2 quarts of fruit juice with 1 gallon of seltzer. If each serving is 8 fluid ounces, how many servings did Pablo make?
A. 20
B. 26
C. 32
D. 36
PLEASE HELP
The triangle above has the following measures.
q = 6 yd
m/Q=43°
Find the length of side r.
Round to the nearest tenth and include correct units.
Show all your work.
Answer:
r=5.9
Step-by-step explanation:
7 in.
12 in.
6 in.
What is the surface area of this rectangular prism?
The surface area of the rectangular prism is 396 square inches
What is the surface area of the rectangular prism?From the question, we have the following parameters that can be used in our computation:
7 in by 12 in by 6 in
The surface area of the rectangular prism is calculated as
Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)
Evaluate
Area = 396
Hence, the area is 396 square inches
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I need the steps for this one
Answer:
[tex]-61[/tex]
Step-by-step explanation:
[tex]\mathrm{We\ have\ f(}x)=-3x^2-2x+4\\\mathrm{Put}\ x=-5,\\\mathrm{f}(-5)=-3(-5)^2-2(-5)+4=-3(25)+10+4=-75+10+4=-61[/tex]
Convert
24 in = ___________ ft
700 cm. =__________m
Answer:
0.24ft
7m
Step-by-step explanation:
During the winter, if the low temperature outside is a °C, the daily cost to heat a
building can be determined using the function f(x) = 5 (1.3) * . Find and
interpret the given function values and determine an appropriate domain for the function.
round all function values to the nearest hundredth.
f:7)= __, meaning when the low temp outside is __ celsius it would cost $__ to heat the building. this interpretation _______________ in the context of your problem.
f(9.5)=___, meaning when the low temp outside is ___ celsius it would cost & __ to heat the building. this interpretation _______________ in the context of the problem.
based on the observations above it is clear that an appropriate domain for the function is —————
PLEASE HELP
The values of the function are 5 and 1.5 and the domain is,
⇒ - ∞ < x < ∞
Here, The equation of the function is given as
f(x) = 5 (1.3)ˣ
The above function is an exponential function.
An exponential function is represented as
f(x) = abˣ
Where
a represents the initial value, b represents the rate of growth or decay
While x and f(x) are the input and output values
Hence, By comparison, we have
a = 5 and b = 1.3
This means that the function values are 5 and 1.3.
Since, the function is an exponential function.
The domain of an exponential function is the set of all real values
Hence, the domain of f(x) is the set of all real values.
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Which animal swims at a top speed of about 0.33 mile per minute? Explain how you found your answer
The animal that swims at a top speed of 0. 33 miles per minute would be the Dolphin .
How to find the animal ?To find the animal that swims at a top speed of 0. 33 miles per minute, you need to convert their top speeds in miles per hour to miles per minute.
For every 1 mile per hour, the equivalent in minutes is 0.0166667 miles per minute.
Speed of Swordfish is:
= 60 mph x 0.0166667
= 1 mile per minute
Speed of Tuna :
= 45 mph x 0.0166667
= 0. 75 miles per minute
Dolphin :
= 20 mph x 0.0166667
= 0. 33 miles a minute
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On the first day of the month, Sandra starts to read a 420-page book. She is determined to read 30
pages each night. The function P (d) = 420-30d specifies the number of pages P remaining
after Sandra does her reading on day d of the month.
Which equation offers a solution giving the day of the month Sandra finishes, and what day of the
month is that?
OP(d)=0; day 21
OP(d)-30; day 21
OP(d) = 420; day 21
OP(d) = 420; day 14
OP(d) = 0; day 14
OP (d)-30; day 14
Answer:
P(d) = 0; 14 days
Step-by-step explanation:
First part of answer: Setting P(d) = 0 would allow us to find the day Sandra finishes since P represents the pages remaining the book will be finished when there are 0 pages left to read.
Second part of answer: We can solve the equation P(d) = 0 = 420 - 30d to see how it would take 14 days to finish the book and have 0 pages left to read:
Step 1: Subtract 420 from both sides:
(0 = 420 - 30d) - 420
-420 = -30d
Step 2: Divide both sides by -3 to solve for d:
(-420 = -30d) / -30
14 = d
