In my community, there are several situations where hypothesis testing can be applied. Here are three examples: Traffic Flow Optimization, Recycling Program Assessment, and Crime Prevention Strategy Evaluation
What inform the selected situation?For the purpose of this response, let's choose Situation 1 (Traffic Flow Optimization) and go through the four steps.
1. Problem Statement: The local authorities want to determine if implementing a new traffic signal timing system will significantly reduce the average travel time for commuters passing through a busy intersection during peak hours.
2. Null Hypothesis (H0): The new traffic signal timing system has no effect on the average travel time for commuters passing through the intersection.
Alternative Hypothesis (H1): The new traffic signal timing system significantly reduces the average travel time for commuters passing through the intersection.
3. Level of Significance: α = 0.05
4. Rejection Region: The rejection region will depend on the specific test statistic used. Let's assume we are using a t-test to compare the mean travel time before and after implementing the new traffic signal timing system. In this case, we would calculate the t-statistic and determine the critical value(s) based on the degrees of freedom and the chosen level of significance. The rejection region would be in the tails of the t-distribution corresponding to the critical value(s).
Possible Type I Error: Rejecting the null hypothesis when it is actually true, indicating that the new traffic signal timing system is effective when it is not. In this case, it would mean concluding that the new system significantly reduces travel time when, in reality, it has no effect.
Possible Type II Error: Failing to reject the null hypothesis when it is actually false, indicating that the new traffic signal timing system is ineffective when it is actually effective. In this case, it would mean not detecting a significant reduction in travel time when the new system does indeed have a positive impact.
It's worthy of note that the specific test statistic and rejection region may vary depending on the nature of the data and the chosen statistical test. The above steps provide a general framework for conducting hypothesis testing in the given situation.
learn more about hypothesis testing: https://brainly.com/question/4232174
#SPJ1
What value of x and y will make quadrilateral KLMN a parallelogram?
x + 3y
5y
2(x + y - 1)
H
11
and y =
20
Answer:
x = 6 , y = 4
Step-by-step explanation:
for the figure to be a parallelogram , the opposite sides must be congruent, that is
5y = 20 ( divide both sides by 5 )
y = 4
and
2(x + y - 1) = x + 3y ← distribute parenthesis on left side by 2
2x + 2y - 2 = x + 3y ← substitute y = 4
2x + 2(4) - 2 = x + 3(4)
2x + 8 - 2 = x + 12
2x + 6 = x + 12 ( subtract x from both sides )
x + 6 = 12 ( subtract 6 from both sides )
x = 6
solve the system of equations graphed on the coordinate axis below y= -4/3x - 6 and y= 4/3x + 2
PLEASE HELP ME! THANK YOU!
The profit a company earns is the revenue the company makes minus the expenses. The
revenue the company makes in a month is represented by the equation R(x) = 5,000 - 2x²,
while the expenses of the company for the month are represented by the equation
E(x) = 15x + 1,000.
The expression to calculate the profit be,
⇒ P(x) = -2x² - 15x + 4,000
To calculate the profit of the company in a month,
we need to subtract the expenses from the revenue.
The profit equation (P) for the company in a month can be represented as,
⇒ P(x) = R(x) - E(x)
Substituting the given revenue and expense equations, we get,
⇒ P(x) = (5,000 - 2x²) - (15x + 1,000)
Simplifying the equation, we get,
⇒ P(x) = -2x² - 15x + 4,000
Therefore,
The profit of the company in a month can be calculated using the above equation,
where x represents the number of units sold or any other relevant variable.
To learn more about equation visit:
https://brainly.com/question/29174899
#SPJ1
Each column of the matrix (blank) represents a vertex of a triangle. If Bella scales the triangle by finding 3T, what are the vertices of the scaled triangle?
Answer:
(d) (0, 0), (0, 9), (9, 0)
Step-by-step explanation:
You want to know the vertices represented by the matrix 3T, where ...
[tex]T=\left[\begin{array}{ccc}0&0&3\\0&3&0\end{array}\right][/tex]
ScaledThe scaled matrix 3T is found by multiplying each element by the scale factor:
[tex]3T=\left[\begin{array}{ccc}0&0&9\\0&9&0\end{array}\right][/tex]
Each column is an (x, y) pair representing a vertex. The vertices of the scaled triangle are ...
(0, 0), (0, 9), (9, 0)
<95141404393>
application of divisibility rules in real life?
While these examples demonstrate some practical applications, divisibility rules are primarily mathematical tools that assist in simplifying calculations, verifying results, and understanding number properties.
Divisibility rules can be applied in various real-life scenarios, particularly in mathematics, finance, and everyday calculations. Here are a few examples:
Checking for even or odd numbers: The divisibility rule for 2 states that a number is divisible by 2 if its last digit is even (0, 2, 4, 6, or 8). This rule can be helpful when determining if a given quantity or count is even or odd. For example, in inventory management, you can quickly estimate the number of items in a collection by checking the parity of the count.
Divisibility by 3: The divisibility rule for 3 states that a number is divisible by 3 if the sum of its digits is divisible by 3. This rule can be useful when dealing with numbers or quantities that need to be evenly distributed or divided.
Divisibility by 9: The divisibility rule for 9 states that a number is divisible by 9 if the sum of its digits is divisible by 9. This rule can be applied in various financial calculations, such as checking if a large number is divisible by 9 to verify the accuracy of calculations involving money, invoices, or balances.
Divisibility by 10: The divisibility rule for 10 states that a number is divisible by 10 if its last digit is 0. This rule is often used in practical situations like determining if a given quantity can be divided evenly into groups of 10 or used in financial transactions involving rounding to the nearest multiple of 10.
Checking prime numbers: Divisibility rules can also help in determining whether a number is prime. For example, the rule that states a number is not divisible by any number greater than its square root can be used to quickly eliminate potential factors when checking for primality.
for similar questions on divisibility rules
https://brainly.com/question/9462805
#SPJ8
David and Ken took part in a cycling race. Both of them did not change their speed throughout the race. David completed the race in 5 hours while Ken took 7 hours. Ken's average speed was 9.8 km/h less than David's average speed.
A) What was David average speed
B)What was the distance of the cycling race?
Let's assume David's average speed is S km/h.
A) To find David's average speed, we can use the formula: Speed = Distance / Time.
David completed the race in 5 hours, so his speed is S km/h. Therefore, we have:
S = Distance / 5
B) Ken's average speed is 9.8 km/h less than David's average speed, which means Ken's average speed is (S - 9.8) km/h.
Ken took 7 hours to complete the race, so we have:
S - 9.8 = Distance / 7
Now, we can solve the system of equations to find the values of S and Distance.
From equation (1): S = Distance / 5
Substitute this into equation (2):
Distance / 5 - 9.8 = Distance / 7
Multiply both sides of the equation by 35 to eliminate the denominators:
7 * Distance - 35 * 9.8 = 5 * Distance
7 * Distance - 343 = 5 * Distance
Subtract 5 * Distance from both sides:
2 * Distance - 343 = 0
Add 343 to both sides:
2 * Distance = 343
Divide both sides by 2:
Distance = 343 / 2 = 171.5 km
Therefore, the distance of the cycling race is 171.5 kilometers.
To find David's average speed, substitute the distance into equation (1):
S = Distance / 5 = 171.5 / 5 = 34.3 km/h
So, David's average speed was 34.3 km/h.[tex][/tex]
Answer:
A) 34.3 km/h
B) 171.5 km
Step-by-step explanation:
Since Ken's average speed is said to be 9.8km/h less than David's average speed, and we know that Ken's average speed is dependent on him traveling for 7 hours, then we have our equation to get the distance of the cycling race:
[tex]\text{Ken's Avg. Speed}=\text{David's Avg. Speed}\,-\,9.8\\\\\frac{\text{Distance}}{7}=\frac{\text{Distance}}{5}-9.8\\\\\frac{5(\text{Distance})}{7}=\text{Distance}-49\\\\5(\text{Distance})=7(\text{Distance})-343\\\\-2(\text{Distance})=-343\\\\\text{Distance}=171.5\text{ km}[/tex]
This distance for the cycling race can now be used to determine David's average speed:
[tex]\text{David's Avg. Speed}=\frac{\text{Distance}}{5}=\frac{171.5}{5}=34.3\text{ km/h}[/tex]
Therefore, David's average speed was 34.3 km/h and the distance of the cycling race was 171.5 km.
sketch the graph for f(x)=x³-2x²-4x+8
The graph of the function f(x) = x³- 2x² - 4x + 8 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x³- 2x² - 4x + 8
The above function is a polynomial function that has undergone for several transformations
Next, we plot the graph using a graphing tool by taking note of the transformations rules
The graph of the function is added as an attachment
Read more about functions at
brainly.com/question/2456547
#SPJ1
Question 1 of 10
In the ellipse shown below, each point marked with a dot is called a(n)
A. vertex
B. axis
O c. center
OD. focus
In the ellipse shown below, each point marked with a dot is called a(n) focus
What is a focus in an ellipseIn an ellipse, the focus (plural: foci) is a pair of special points that play a significant role in defining the shape of the ellipse. The focus points are located inside the ellipse along the major axis, which is the longer axis of the ellipse.
The defining property of an ellipse is that the sum of the distances from any point on the ellipse to the two foci is constant. This property is known as the "focus-directrix property."
Read more on ellipse here:https://brainly.com/question/9702250
#SPJ1
Plot the image of Figure ABCDEFGH after a dilation with scale factor 3. One of
the sides has been plotted for you.
Click twice to plot a segment.
Click a segment to delete it.
I can guide you on how to perform the dilation with a scale factor of 3 for the figure.
To perform a dilation with a scale factor of 3, you would multiply the coordinates of each point of the original figure by 3. This will result in the figure being enlarged by a factor of 3.
Let's assume the coordinates of the original figure ABCDEFGH are as follows:
A: (1, 1)
B: (4, 1)
C: (4, 4)
D: (1, 4)
E: (2, 2)
F: (3, 2)
G: (3, 3)
H: (2, 3)
To obtain the image of the figure after dilation with a scale factor of 3, multiply each coordinate by 3:
A': (3, 3)
B': (12, 3)
C': (12, 12)
D': (3, 12)
E': (6, 6)
F': (9, 6)
G': (9, 9)
H': (6, 9)
These new coordinates (A', B', C', D', E', F', G', H') represent the image of figure ABCDEFGH after the dilation with a scale factor of 3. You can plot these new coordinates on a graph or use a drawing tool to visualize the enlarged figure.
A bank offers a CD that pays a simple interest rate of 7.0%. How much must you put in this CD now in order to have $4500 for a home-entertainment center in 5 years.
The present value that must be invested to get $4500 after 5 years at an interest rate of 7.0% is $__ (Round up to the nearest cent.)
Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.
To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:
Present Value = Future Value / (1 + (Interest Rate × Time))
In this case:
Future Value = $4500
Interest Rate = 7.0%
= 0.07
Time = 5 years
Substituting these values into the formula:
Present Value = $4500 / (1 + (0.07 × 5))
Present Value = $4500 / (1 + 0.35)
Present Value = $4500 / 1.35
Present Value ≈ $3333.33
You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:
Future Value / (1 + (Interest Rate Time)) = Present Value
In this instance
$4500 is the future value.
Rate of Interest = 7.0% = 0.07
t = 5 years
Substituting these values into the formula:
$4500 / (1 + (0.07 5)) = Present Value
$4500 / (1 + 0.35) equals the present value.
Present Value = $4500 / 1.35
For similar questions on invested
https://brainly.com/question/25893158
#SPJ8
The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33
How to find the present value that must be invested to get $4500 after 5 yearsUsing the formula for calculating the future value of a single sum:
Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)
We rearrange the formula to solve for the present value (PV):
PV = FV / (1 + Interest Rate * Time)
Plugging in the given values:
FV = $4500
Interest Rate = 7.0% = 0.07
Time = 5 years
PV = $4500 / (1 + 0.07 * 5)
PV = $4500 / (1 + 0.35)
PV = $4500 / 1.35
PV ≈ $3333.33
Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).
Learn more about present value at https://brainly.com/question/20813161
#SPJ1
1.2 If Erin had 150m/ of buttermilk and recipe require 0.25 cups of buttermilk, would Erin have enough buttermilk for the recipe (2) 1.3 A cake recipe calls for 0.8 kg of flower, 650g of sugar and 900 000mg of butter.
If Erin had 150m/ of buttermilk and recipe require 0.25 cups of buttermilk. Erin would have enough buttermilk for the recipe (2).
What is the recipe?1.2. Convert the units of measurement to a common unit.
Erin has:
150 ml of buttermilk
Recipe requires 0.25 cups of buttermilk.
1 cup= 236.59 ml
So,
0.25 cups = 0.25 * 236.59 = 59.15 ml
Therefore Erin has enough buttermilk for the recipe.
1.3. The cake recipe calls for the following ingredients:
0.8 kg of flour
650 g of sugar
900,000 mg of butter
Simplify the units by converting them to a common unit
0.8 kg = 0.8 * 1000 g = 800 g
650 g = 650 g (no conversion needed)
900,000 mg = 900,000 mg / 1000 = 900 g
Therefore the required amounts of the ingredients are: 800 g of flour, 650 g of sugar, 900 g of butter.
Learn more about recipe here:https://brainly.com/question/25936585
#SPJ1
15, 16, 19, 20 how do i label it pls help
The quadrant of the terminal side for 15) is fourth quadrant.
How to change radians in degree?To change from radians to degrees, you need to the multiple the number of radians by 180/π.
Multiple the number of radians by 180/π.
15) 5 radians = 5 * (180/π)
16) 11π/6 = (11*180)/6 = 330.
19) 3.5 = 3.5*(π/180) degree.
20) 1 = 1*(π/180) degree.
therefore, terminal side for 15) is fourth quadrant.
Learn more about radians here:
https://brainly.com/question/28990400
#SPJ
Reema wants to build a coat rack for the front hallway. The wall is
4 feet long, and the piece of wood she has for the rack is 28 1/4
inches long. She wants to center the coat rack on the wall. There
needs to be an equal amount of space, about 7 or 8 inches,
between the coat hooks. The first and last hooks should be no
less than 1 3/4 inches from either end of the wood. How many
hooks should Reema use? What is the distance between the
hooks? What is the distance of each hook from the left edge of
the wood?
Reema should use 3 hooks. The distance between the hooks is approximately 4 inches, and the distances of each hook from the left edge of the wood are approximately 1.75 inches, 5.75 inches, and 9.75 inches.
Given:
Wall length: 4 feet
Wood length: 28 inches
Space between hooks: about 7 or 8 inches
Minimum distance from each end: 1 3/4 inches
To center the coat rack on the wall, we need to find the remaining space on either side of the wood after accounting for the minimum distances from each end.
Convert measurements to inches:
Wall length: 4 feet = 48 inches
Calculate the available space for the wood on the wall:
Available space on each side = (Wall length - Wood length) / 2
Available space on each side = (48 inches - 28 inches) / 2
Available space on each side = 20 inches / 2
Available space on each side = 10 inches
Determine the number of hooks and the space between them:
Space between hooks: about 7 or 8 inches
Let's assume we choose a space of 8 inches between hooks for this calculation.
Remaining space for hooks = Wood length - (Minimum distance from each end × 2)
Remaining space for hooks = 28 inches - (1 3/4 inches × 2)
Remaining space for hooks = 28 inches - (3 1/2 inches)
Remaining space for hooks = 28 inches - 7/2 inches
Remaining space for hooks = 28 inches - 3.5 inches
Remaining space for hooks = 24.5 inches
Number of hooks = Remaining space for hooks / Space between hooks
Number of hooks = 24.5 inches / 8 inches (approximately)
Number of hooks ≈ 3.06 (rounded to the nearest whole number)
Since we cannot have a fraction of a hook, we'll round down to 3 hooks.
Calculate the distance between hooks:
Distance between hooks = Space between hooks / (Number of hooks - 1)
Distance between hooks = 8 inches / (3 hooks - 1)
Distance between hooks = 8 inches / 2
Distance between hooks = 4 inches
Calculate the distance of each hook from the left edge of the wood:
Hook 1 distance from the left edge = Minimum distance from each end
Hook 2 distance from the left edge = Minimum distance from each end + Distance between hooks
Hook 3 distance from the left edge = Minimum distance from each end + (Distance between hooks × 2)
Using the given minimum distance from each end of 1 3/4 inches (or 1.75 inches), we can calculate the distances for each hook:
Hook 1 distance from the left edge = 1.75 inches
Hook 2 distance from the left edge = 1.75 inches + 4 inches
Hook 2 distance from the left edge = 5.75 inches
Hook 3 distance from the left edge = 1.75 inches + (4 inches × 2)
Hook 3 distance from the left edge = 9.75 inches
So, Reema should use 3 hooks. The distance between the hooks is approximately 4 inches, and the distances of each hook from the left edge of the wood are approximately 1.75 inches, 5.75 inches, and 9.75 inches.
for such more question on distance
https://brainly.com/question/12356021
#SPJ8
Question
a Reema wants to build a coat rack for the front hallway. The wall is 4 feet long, and the piece of wood she has for the rack is 28 Checklist Did You... inches long. She wants to center the coat rack on the wall. There Draw a detalled needs to be an equal amount of space, about 7 or 8 inches, diagram? between the coat hooks. The first and last hooks should be no Check all your less than 1 inches from either end of the wood. How many calculations? Complete all parts hooks should Reema use? What is the distance between the of the problem? hooks? What is the distance of each hook from the left edge of the wood? Draw and label a diagram of the coat rack on the wall. Mark all the measurements for - inches placing the wood on the wall, and for attaching the hooks on the wood. You can use either fractions or decimals to label and calculate the measurements. Reflect Reflect on Mathematical Practices After you complete the task, choose one of the following questions to answer. • Model What models helped you to solve this problem? How did they help? • Be Precise When was it easier to use fractions, and when was it easier to work with decimal numbers? 213 1.75 left 1.75 edge Right edge
how would I solve this
[tex]\theta =\cfrac{14}{3}\pi \implies \theta =\cfrac{14\pi }{3}\implies \theta =\cfrac{6\pi +6\pi +2\pi }{3} \\\\\\ \theta =\cfrac{6\pi }{3}+\cfrac{6\pi }{3}+\cfrac{2\pi }{3}\implies \theta =2\pi +2\pi +\cfrac{2\pi }{3}[/tex]
so if we take a look at that, we can say that the angle θ does two revolutions and then it lands on 2π/3, so the terminal point of it is the same as 2π/3's, and if you check your Unit Circle, as you should have one
[tex]\sin(\theta )=\cfrac{\sqrt{3}}{2}\hspace{5em}\cos(\theta )=-\cfrac{1}{2}[/tex]
Answer:
sin∅ = √3/2
cos∅ = -1/2
Step-by-step explanation:
Notice that 14π/3 is just under 3π, so the reference angle made with the negative x-axis is π/3. Since sin(π/3) = √3/2, then sin(14π/3) is also √3/2.
cos(14π/3) works somewhat similarly. Since cos(π/3) = 0.5, and cos(14π/3) would be located in Quadrant II where the negative axis is, then cos(14π/3) = -0.5
1. Find the value of x for which is parallel to m. The figure is not to scale. 60 150 90 30 30° Y 60° ро
The value of x for which the two lines are parallel is given as follows:
x = 60º.
What are consecutive interior angles?We have two parallel lines that are cut by a transversal, and the two angles are between the parallel lines and on the same side of the transversal, meaning that they are consecutive interior angles.
Consecutive interior angles are supplementary, meaning that the sum of their measures is of 180º, hence the value of x can be found as follows:
x + 2x = 180
3x = 180º
x = 180º/3
x = 60º.
Missing InformationThe figure is given by the image presented at the end of the answer.
More can be learned about angle measures at brainly.com/question/24607467
#SPJ1
Solve for the exact solutions in the interval [0,2]
List your answers separated by a comma, if it has no real solutions, enter DNE.
The solutions to the trigonometric equation in this problem are given as follows:
θ = π/6.θ = 5π/6.θ = 7π/6.θ = 11π/6.What are complementary angles?Two angles are said to be complementary angles when the sum of their measures is of 90º.
For complementary angles, we have that the sine of one of the angles is the cosine of the other angle, hence in this problem we have that 2θ and θ are complementary angles.
Then the value of θ is obtained as follows:
2θ + θ = 90
3θ = 90
θ = 30º.
θ = π/6.
The equivalent angles, which are also solutions to the equation, are given as follows:
θ = 5π/6. -> second quadrant.θ = 7π/6. -> third quadrant.θ = 11π/6. -> fourth quadrant.More can be learned about complementary angles at brainly.com/question/98924
#SPJ1
Jane, John, and Joey are standing apart in such a way that they form a triangle.
The distance between Jane and John is 31 feet. The distance between John and Joey is 42 feet and the distance between Joey and Jane is 53 feet. What is the angle formed where Joey is standing?
Angle =
Did you use Law of Sine or Law of Cosine to solve for the angle?
The angle formed is 91.84° which can be obtained using Cosine Rule since all the three sides are given.
Using the Cosine Rule :CosC = (a²+b²-c²) /2(ab)
a = 31
b = 42
c = 53
Substituting the values into the relation
CosC = (31² + 42² - 53²) / 2(31×42)
CosC = - 84 / 2604
CosC = −0.032258
C =
[tex]C = {cos}^{ - 1} (- 0.03225)[/tex]
C = 91.84°
Hence, the angle formed is 91.84°
Learn more on cosine rule :https://brainly.com/question/23720007
#SPJ1
√3*√5*√12 i need to simplify please help
Step-by-step explanation:
To simplify the expression √3 * √5 * √12, you can combine the square roots and simplify the numbers under the radicals.
Step 1: Simplify the numbers under the radicals:
√3 = √(3) (The square root of 3 cannot be simplified further because 3 is a prime number.)
√5 = √(5) (The square root of 5 cannot be simplified further because 5 is a prime number.)
√12 = √(4 * 3) (The number 12 can be expressed as the product of 4 and 3, and the square root of 4 simplifies to 2.)
√12 = 2√(3)
Step 2: Combine the simplified square roots:
√3 * √5 * √12 = √(3) * √(5) * 2√(3)
Step 3: Apply the rule of multiplying square roots:
√(3) * √(5) = √(3 * 5) = √15
Step 4: Substitute the simplified square roots back into the expression:
√3 * √5 * √12 = √15 * 2√(3)
Step 5: Simplify the expression further:
√15 * 2√(3) = 2√(15) * √(3) = 2√(15 * 3) = 2√(45)
Step 6: Simplify the number under the square root:
2√(45) = 2√(9 * 5) = 2√(9) * √(5) = 2 * 3 * √(5) = 6√(5)
Therefore, the simplified form of √3 * √5 * √12 is 6√5.
Answer: 6√5
√180 = 6√5
( PLEASE HELPPP!!!! WILL GIVE EXTRA POINTS )
Match each event described to its probability.
0.25 0.5 1
The probability of drawing a blue or green marble out of a bag containing three blue two green eight yellow for red and three orange marbles.
The probability of choosing a card with a heart on it out of a standard deck of cards.
The probability of getting an A or B on a paper if you could get in A,B,C, or F.
The probability of getting a heads or tails on a flip of a coin.
Answer:
Step-by-step explanation:
Here are the probabilities for each event:
The probability of drawing a blue or green marble out of a bag containing three blue, two green, eight yellow, four red, and three orange marbles is 0.25.
The probability of choosing a card with a heart on it out of a standard deck of cards is 0.25.
The probability of getting an A or B on a paper if you could get in A,B,C, or F is 0.5.
The probability of getting a heads or tails on a flip of a coin is 0.5.
I hope this helps! Let me know if you have any other questions.
I dont know how to solve this
Use tracing paper for the rotation. Put a dot on the origin (0,0) and trace the shape. Then turn the paper 180 degrees and redraw the shape in its new position.
For the reflection, the line y = x + 2 would have an x interrcept of (-2,0) and y intercept of (0,2) so, draw a line through those coordinates and reflect the new shape you traced. That will be your final answer, you can rub out the rotated one as the question asked you to rotate AND reflect. Not just rotate.
Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
1-Decide whether each set of events is independent or dependent. Explain your answer.
picking a black checker from a bag of 9 black checkers and 6 red checkers, replacing it, and picking a red checker
Answer:
Step-by-step explanation:
9 is dependent 6 is independent
Company X tried selling widgets at various prices to see how much profit they would make. The following table shows the widget selling price, x, and the total profit earned at that price, y. Write a quadratic regression equation for this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the profit, to the nearest dollar, for a selling price of 18.75 dollars.
Using calculator, the quadratic regression function that models the data is
f(x) = -290.6x² + 7127.4x - 43447.5.
the profit ≈ 582.43
How did we arrive at this?To find the profit for a selling price of $18.75, we substitute x = 18.75 into the equation.
f(18.75) = -147.30(18.75)² + 3231.00(18.75) - 8213.66
= -147.30 x 351.5625 + 60581.25 - 8213.66
=582.43375
f(18.75) ≈ 582.43
Therefore, the profit for a selling price of $18.75 is approximately $ 582.43
Learn more about profit:
https://brainly.com/question/29257255
#SPJ4
PLEASE HELP ME I REALLY NEED THIS SOLVED
total angles of the triangle = 180°
∠BAC + ∠ABC + ∠ACB = 180°
40° + 90° + ∠ACB = 180°
130° + ∠ACB = 180°
∠ACB = 180° - 130°
∠ACB = 50°
∠ACB and ∠ECD is opposite angles. So, that two angles are equal.
∠ACD = ∠ECD = 50° (B)
That's it :)
Step-by-step explanation:
50°
abc is right angle and
a is 40°
b is 90°
c is 50°
so angle acb is vertical opposite to angle ecd and it is equal
1 Assignment find p what I = #192 R=2% T = 4years
Answer:
15.36
Step-by-step explanation:
192*0.02*4= 15.36
Ki must travel to Atlanta to meet a client. She is starting from Memphis at
5:30 am. She gets to Atlanta at 3:00 pm. The total distance she traveled 391
miles. How fast did Ki travel if she kept a steady speed with no stop?
Ki traveled at an average speed of approximately 41.05 miles per hour without any stops.
To calculate the average speed at which Ki traveled from Memphis to Atlanta, we can use the formula:
Average Speed = Total Distance / Total Time
First, let's calculate the total time taken for the journey. Ki started from Memphis at 5:30 am and arrived in Atlanta at 3:00 pm, which is a total of 9.5 hours.
Next, we divide the total distance traveled, which is 391 miles, by the total time taken, which is 9.5 hours:
Average Speed = 391 miles / 9.5 hours
Calculating this, we find that Ki's average speed was approximately:
Average Speed ≈ 41.05 miles per hour
Therefore, Ki traveled at an average speed of approximately 41.05 miles per hour without any stops.
for such more question on average speed
https://brainly.com/question/6504879
#SPJ8
A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.15, how many dimes and how many
Answer:
9 dimes and 5 quarters----------------------
Let d be the number of dimes and q be the number of quarters.
We can set up two equations based on the information given:
d + q = 14 (14 coins in total) 0.10d + 0.25q = 2.15 (total value of his change is $2.15)Use substitution here:
d = 14 - q (from the first equation) 0.10(14 - q) + 0.25q = 2.15 (substituting into the second equation) 1.40 - 0.10q + 0.25q = 2.15 0.15q = 0.75 q = 5So he has 5 quarters.
We can plug that back into either equation to find the number of dimes:
d + 5 = 14 d = 9So he has 9 dimes and 5 quarters.
What is the product?
Answer:
It's the 3rd one down. 4,-12,6,42,18,0
Step-by-step explanation:
Answer:
[24 -12 6]
[42 18 0]
Step-by-step explanation:
Multiply each number in the brackets individually by 6.
Please mark me brainliest! Thanks!
What's the circumference
of a
circle with a diameter of 20
inches? Use 3.14 for .
C = [?] inches
Round to the nearest hundredth, if necessary.
Hint: C = πd
Enter
Answer:
C=62.8
Step-by-step explanation:
1) In the formula C=πd, d represents the diameter, which is 20 inches. All you need to do is apply 20 into the equation and you get C=π20.
2) They said to use 3.14 instead of pi, so we are going to multiply 20*3.14, which is 62.8.
8.8.PS-13
Find the surface area of the
regular hexagonal prism.
3.5 cm
The surface area is cm Superscript 2
4 cm
11 cm
...
Answer:
348 cm²
Step-by-step explanation:
In this problem, we are asked to find the surface area of the regular hexagonal prism. We can use the formula:
[tex]SA = 2A + (P \cdot h)[/tex]
where [tex]A[/tex] is the area of the prism's hexagonal faces, [tex]P[/tex] is the perimeter of the hexagonal faces, and [tex]h[/tex] is the prism's height.
We can solve for the area of the hexagonal faces by splitting it into 6 triangles and multiplying the area of each triangle by 6.
[tex]A = 6\left(\dfrac{1}{2} bh\right)[/tex]
where [tex]b[/tex] is the triangle's base and [tex]h[/tex] is the triangle's height.
[tex]A = 6\left(\dfrac{1}{2}\cdot 4 \cdot 3.5\right)[/tex]
[tex]A = 6\left(2 \cdot 3.5\right)[/tex]
[tex]A = 12 \cdot 3.5[/tex]
[tex]A = 42\text{ cm}^2[/tex]
We can solve for the perimeter by multiplying one side length by 6.
[tex]P = 6(4) = 24\text{ cm}[/tex]
We are given that the height of the prism is 11 cm.
[tex]h = 11\text{ cm}[/tex]
Finally, we can solve for the surface area of the prism by plugging these values into the above formula.
[tex]SA = 2A + (P \cdot h)[/tex]
[tex]SA = 2(42) + (24 \cdot 11)[/tex]
[tex]SA = 84 + 264[/tex]
[tex]\boxed{SA = 348 \text{ cm}^2}[/tex]