Probability of flipping coin is experimental. Estimation of chance in maths quiz is subjective. Probability of tossing dice is classical. Total 495 ways to choose 4 people from 12 employees
For the first part, we are supposed to decide whether the given probabilities are subjective, experimental or classical:
There are mainly three types of probabilities: subjective, experimental, and classical probabilities.
Subjective probability is based on personal estimates of a person and there is no logical reasoning or scientific experiment involved. Experimental probability is calculated by actually performing an experiment or observing an event a large number of times. Classical probability is based on logical reasoning and is calculated by analyzing the number of possible outcomes of an event.a) The probability of obtaining a tail with his coin is 61%.
Here, the probability is calculated by actually flipping the coin 100 times. Thus, the probability is experimental.
b) Caroline estimates that there is only a 15% chance that they will have a quiz in their mathematics class.
Here, the probability is subjective since it is based on the personal estimate of Caroline.
c) The probability of tossing a 5 on a fair six-sided die is 1/6.
Here, the probability is classical.
For the second part of the question, we need to find out the number of ways in which a task force of 4 people can be chosen from a group of 12 employees.
We use the combination formula:
nCr = n! / (n−r)! r!
where n is the total number of employees and r is the number of employees in the task force.
Thus, the answer is:
12C4=495.
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5. John and Alice are going to visit their friends in Chicago. They need to exchange their
Canadian money (CAD) to American money (USD). Alice goes to the bank and asks for $300
USD. They charge her $400 CAD. John goes to the bank on the same day and asks for $175
USD. Assuming that he gets the same exchange rate, how much do they charge him in
Canadian dollars?
Answer:
$233.33
Step-by-step explanation:
I will use the is/of method
\(\frac{300}{400}\)=\(\frac{175}{?}\)
175*400=70,000
70,000/300=233.33
You deposited $3,000 in the bank in 2019. It is compounded annually at 4%. How much money will you have in 9 years (in 2028)?
ANSWER
\(\begin{equation*} \$4,269.94 \end{equation*}\)EXPLANATION
To find the amount of money that you will have in 9 years, apply the formula for annually compounded amount:
\(A=P(1+r)^t\)where P = principal
r = interest rate
t = number of years
Hence, the amount after 9 years is:
\(\begin{gathered} A=3000(1+\frac{4}{100})^9 \\ A=3000(1+0.04)^9=3000(1.04)^9 \\ A=\$4,269.94 \end{gathered}\)That is the answer.
125 rounded to the nearest tenth
130 is rounded to the nearest TENS
There is a positive correlation between the number of times the Striped Ground Cricket chirps per second and the temperature in degrees Fahrenheit. If a scatter plot is made with the number of chirps on the horizontal axis and the trend line is found to be y = 3x + 25, then what would you predict the number of chirps per second to be when the temperature is 55 degrees Fahrenheit?
10
43
190
The predicted number of chirps per second when the temperature is 55 degrees Fahrenheit is 190.
The temperature and the number of chirps per second are linearly related, as shown by the trend line equation y = 3x + 25, where x is the temperature in degrees Fahrenheit and y is the number of chirps per second.
We must enter x = 55 into the equation and find y in order to estimate the number of chirps per second at a temperature of 55 degrees Fahrenheit
y = 3x + 25
y = 3(55) + 25
y = 165 + 25
y = 190
190 chirps are therefore expected per second at a temperature of 55 degrees Fahrenheit. Therefore, the predicted number of chirps per second when the temperature is 55 degrees Fahrenheit is 190.
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Help me
❤️❤️❤️❤️
You will get ponit
What is the value of the expression below?
\([24 + 9 – (4 \times 2) + 11] ÷ 2\)
↓
\([24 + 9 – (8) + 11] ÷ 2\)
\([33-(8) + 11] ÷ 2\)
\([25+ 11] ÷ 2\)
\(36 ÷ 2 = 18\)
Farmer Phil needs to treat a field with potash and nitrogen. He knows he needs 308 pounds of potash and 330 pounds of nitrogen. He can use Grow Rite brand and Great Green Brand. Grow Rite has 4 pounds of potash and 5 pounds of nitrogen per bag. Great Green has 7 pounds of potash and 6 pounds of nitrogen per bag.
Answer:
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Step-by-step explanation:
The number of bags of Grow Rite brand = x
The number of bags of Great Green brand = y
The equation is given as:
4x + 7y = 308....... Equation 1
5x + 6y = 330....... Equation 2
Using Elimination method.
Multiply Equation 2 by the coefficient of x in Equation 1 and Multiply Equation 1 by the coefficient of x in Equation 2
4x + 7y = 308....... Equation 1 × 5
5x + 6y = 330....... Equation 2 × 4
20x + 35y = 1540..... Equation 3
20x + 24y = 1320....... Equation 4
Subtract Equation 3 from Equation 4
11y = 220
y = 220/11
y = 20 bags
4x + 7y = 308....... Equation 1
4x + 7(20) = 308
4x + 140 = 308
4x = 308 - 140
4x = 168
x = 168/4
x = 42 bags
The number of bags of Grow Rite brand = x = 42 bags
The number of bags of Great Green brand = y = 20 bags.
Use separation of variables to solve the differential equation with initial condition y(1)=-2
Answer: A
Step-by-step explanation:
\(\frac{dy}{dx}=\frac{1+x}{xy} \\ \\ y \text{ } dy=\frac{1+x}{x} \text{ } dx \\ \\ y \text{ } dy= \left(\frac{1}{x}+1 \right) \text{ } dx \\ \\ \int y \text{ } dy=\int \left(\frac{1}{x}+1 \right) \text{ } dx \\ \\ \frac{y^{2}}{2}=\ln \left| x \right|+x+C\)
Substituting in the initial condition,
\(\frac{(-2)^{2}}{2}=\ln \left|1 \right|+1+C\\\\2=1+C\\\\C=1\)
So,
\(\boxed{\frac{1}{2}y^{2}=\ln \left|x \right|+x+1}\)
Answer:
\(\textsf{A.} \quad \dfrac{1}{2}y^2=\ln|x|+x+1\)
Step-by-step explanation:
To solve the differential equation:
Rearrange the given equation to get all the terms containing y on the left side, and all the terms containing x on the right side:
\(\dfrac{dy}{dx}=\dfrac{1+x}{xy}\)
\(\implies y\dfrac{dy}{dx}=\dfrac{1+x}{x}\)
\(\implies y\:dy=\dfrac{1+x}{x}\:dx\)
\(\implies y\:dy=\dfrac{1}{x}+\dfrac{x}{x}\:dx\)
\(\implies y\:dy=\left(\dfrac{1}{x}+1\right)\:dx\)
Integrate both sides:
\(\displaystyle \implies \int y\:dy=\int \left(\dfrac{1}{x}+1\right)\:dx\)
\(\implies \dfrac{1}{2}y^2=\ln|x|+x+C\)
Find the value of C using the given values of x and y:
when x = 1, y = -2
\(\implies \dfrac{1}{2}(-2)^2=\ln|1|+1+C\)
\(\implies 2=0+1+C\)
\(\implies C=1\)
Substitute the found value of C:
\(\implies \dfrac{1}{2}y^2=\ln|x|+x+1\)
Which of the following is a potential downside of deploying a best-of-breed software architecture? Excessive software licensing costs may result from having multiple software agreements. It may be challenging to share data across applications or to provide end-to-end support for business processes. Multiple held desks may be needed to assist users in using the different applications. All of the above Question 15 Which of the following is a true statement about BIS infrastructure security risk assessment? A) BIS security risk assessments consider the likelihood of potential threats to disrupt business operations, the severity of the disruptions, and the adequacy of existing security controls to guard against disruptions. B) COBIT is a widely used risk assessment framework for BIS infrastructures. C) Risk assessments are used to identify security improvements for BIS infrastructures. D) All of the above
Best-of-breed software architecture is the use of the best software in each software category, but can have potential downsides. BIS infrastructure security risk assessment is concerned with identifying threats, evaluating their severity, and determining the necessary security measures. COBIT is a widely used framework for BIS infrastructures.
Best-of-breed software architecture is the use of the best software in each software category, rather than relying on a single software solution. However, it can have potential downsides such as excessive software licensing costs, difficulty sharing data across applications, and difficulty providing end-to-end support for business processes. BIS infrastructure security risk assessment is concerned with identifying threats to business operations, evaluating their severity, and determining the adequacy of current security measures to mitigate them. COBIT is a widely used risk assessment framework for BIS infrastructures. Risk assessments are conducted to determine the necessary security improvements for BIS infrastructures.
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Does anyone know plz help soon
Answer:
2,4
Step-by-step explanation:
itaimle fentan' th the yen +1 Mime chose Sowe Mitide chices asccereiond pls: * attonach 7= Which of the liliswing in a cintical ritik to the wocest of yod tritivees plan? Mrryin Dreite hisculte ievitor: porinumalike Q.wide Orete be Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager. Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following plans is most useful for demonstrating a new technology or service or to reach a market that is widely spread out? Mutiple Choice an irvertion plan a proof-of-concept website an operational plan a screening plan Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan Connie is in trouble because she does not know what a business plan looks like. Which of the following statements about the market section of the classic business plan is not true? Muniple Choice The market section bullds on material you may have developed in the IDEO, business model canvas, and feasibility analyses done eatilier, Marketing plans remain the same across any multiple target audiences; Target audiences are aiso ealled custamer segments. Some people prefer to relocate the compettion and competilve advantage section from the market section to the industry section. Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following is a critical risk to the success of your business plan? Mulitiple Choice overlooked competition assumptions given for the financials adequate paybock direct customer connection Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following pitch deck categories is sometimes given in the form of a user's experience? Multiple Cholce product sides problem slide solution slide introductory slide Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is get the listener Multiple Choice to make a micro-commitment. provide feedback look at your invention plan, to piedge money Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach Investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks llike. A good marketing strategy is most likely to focus on Multiple Choice productiservice description. key activities and operations: value proposition. the longerterm competitive plan.
The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website
How to explain the informationThe statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.
A critical risk to the success of your business plan is Overlooked competition.
The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.
There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment
A good marketing strategy is most likely to focus on the longer-term competitive plan.
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The difference of a number and 6 is the same as 5 times the sum of the number and 2. What is the number?A 4B. -2C -1D. 1
You need to know the following:
1. The "difference" is the result of a subtraction.
2. The word "times" indicates a multiplication.
3. The sum is the result of an addition.
Let be "n" the number mentioned in the exercise.
Knowing the explained above, you know that "the difference of a number and 6" can expressed as:
\(n-6\)And "5 times the sum of the number and 2" can be expressed as:
\(5(n+2)\)Therefore, "the difference of a number and 6 is the same as 5 times the sum of the number and 2" can be written as the following equation:
\(n-6=5(n+2)\)Now, in order to find the number, you must solve for "n":
\(undefined\)helppppppppppppppppp
Answer:
The common difference is 6
Step-by-step explanation:
14 - 6 = 8
8 - 6 = 2
if p q by the consecutive interior angles theorem which angles must be supplementary
Answer:
Angles 3 and 8 are consecutive interior angles
Step-by-step explanation:
Here, we want to use the consecutive interior angles theorem to find the supplementary angles
We start by looking at the transversal line
two angles that are directly above each other on the two lines are consecutive interior angles that are supplementary
We have this two as;
Since it is P and Q that are parallel, it is angles 3 and 8 that are consecutive interior angles
A farmer grows a new variety of pumpkin, hoping to have
larger pumpkins to sell. To see how large the new variety
grows, she collects some statistical data.
1. The farmer plants the seeds in late May.
2. In October, she harvests the pumpkins.
3. After harvesting, she weighs each pumpkin on a scale
and records its weight
4. The farmer places the pumpkins on tables based on
their size.
Which step describes how the data were measured?
Answer:
C
Step-by-step explanation:
Answer:
is C
Step-by-step explanation:
A pex i took the test
give brainlist if feeling nice
solve the equation, giving values of x in a form suitable for computation.
x(2√3-3)=4√3
answer = 8+4√3
(never heard of computation before
Answer:
x = 8 + 4\(\sqrt{3}\)
Step-by-step explanation:
computation just means to calculate
x(2\(\sqrt{3}\) - 3 ) = 4\(\sqrt{3}\) ( divide both sides by (2\(\sqrt{3}\) - 3 ) )
x = \(\frac{4\sqrt{3} }{2\sqrt{3-3} }\)
rationalise the denominator by multiplying the numerator/ denominator by the conjugate of the denominator.
the conjugate of 2\(\sqrt{3}\) - 3 , is 2\(\sqrt{3}\) + 3
= \(\frac{4\sqrt{3}(2\sqrt{3}+3) }{(2\sqrt{3}-3)(2\sqrt{3}+3) }\) ← expand denominator using FOIL
= \(\frac{24+12\sqrt{3} }{12-9}\)
= \(\frac{24+12\sqrt{3} }{3}\)
= \(\frac{24}{3}\) + \(\frac{12\sqrt{3} }{3}\)
= 8 + 4\(\sqrt{3}\)
I WILL VOTE BRAINLIEST AND GIVE THANKS! AND I AM GIVING 20 POINTS! (DESPERATE)
Please help! I need this answered as soon as possible, please! Thanks!
Look at the file (Image of Number line) to see the picture required to help you solve the problem.
The number line shows the graph of an inequality:
Which statement explains whether −2.5 can be a value in the shaded region?
Yes, it can, because −2.5 lies to the left of −0.5.
Yes, it can, because −2.5 lies to the right of −0.5.
No, it cannot, because −2.5 lies to the left of −0.5.
No, it cannot because −2.5 lies to the right of −0.5.
Answer:
first one man
Step-by-step explanation:
Answer:
Yes, it can, because −2.5 lies to the right of −0.5.
Step-by-step explanation:
Find the arc length parameter along the given curve from the point where t=0 by evaluating the integral s(t)= v(1) dr. Then find the length of the indicated portion OLLEGE of the curve r(t) = 5costi+5
The arc length parameter along the given curve is obtained by evaluating the integral s(t) = ∫v(1) dr. Using this parameter, we can find the length of the indicated portion OLLEGE of the curve r(t) = 5costi + 5. The first paragraph provides a summary of the answer.
To calculate the arc length parameter, we integrate the magnitude of the velocity vector v(t) with respect to t, from t = 0 to t = 1. In this case, the magnitude of the velocity vector is given by ||v(t)|| = ||r'(t)||, where r(t) represents the position vector of the curve. Evaluating this integral provides the arc length parameter s(t).
Next, to find the length of the indicated portion OLLEGE of the curve r(t) = 5costi + 5, we need to determine the values of t that correspond to the points O, L, L, E, G, and E on the curve. Once we have the values of t for these points, we can calculate the arc length parameter s(t) at each point using the integral mentioned earlier. Finally, subtracting the arc length parameter at point O from the arc length parameter at point E gives us the length of the indicated portion OLLEGE.
In summary, we first find the arc length parameter by evaluating the integral s(t) = ∫v(1) dr along the given curve. Then, by determining the values of t for the indicated points on the curve, we can calculate the arc length parameter at each point and find the length of the indicated portion OLLEGE by subtracting the arc length parameter at point O from the arc length parameter at point E.
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A spring is attached to the ceiling and pulled 16 cm down from equilibrium and released. After 3 seconds the amplitude has decreased to 11 cm. The spring oscillates 20 times each second. Assume that the amplitude is decreasing exponentially. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.
The required equation for the distance D the end of the spring is below equilibrium in terms of seconds t is D(t) = 16e^(-0.2167t) sin(40πt).
The amplitude of the spring is decreasing exponentially, which means it will be in the form of a decaying exponential function:
A(t) = A0e^(-kt)
Where A0 is the initial amplitude, k is a positive constant, and t is time.
According to the problem, the initial amplitude is 16 cm, and the amplitude decreases to 11 cm after 3 seconds.
So, we can write the equation as follows:
11 = 16e^(-k*3)
Solve for k:
11/16 = e^(-3k)
ln(11/16) = -3k
k = ln(16/11) / 3
Substitute the value of k in the exponential function:
A(t) = 16e^(-0.2167t)
The spring oscillates 20 times each second, so its frequency is 20 Hz or 20 cycles per second.
The period of the oscillation can be found by T = 1/f, where f is the frequency.
T = 1/20 = 0.05 seconds
The general equation for the distance D of the end of the spring below equilibrium can be written as follows:
D(t) = A(t) sin(2πft)
D(t) = 16e^(-0.2167t) sin(2π(20)t)
D(t) = 16e^(-0.2167t) sin(40πt)
Therefore, the required equation for the distance D the end of the spring is below equilibrium in terms of seconds, t is D(t) = 16e^(-0.2167t) sin(40πt).
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Tyler and trey are saving money. Tyler has saved $27 more than trey. Together they saved $85. Define a variable and write an equation that can be used to determine the amount of money Tyler and trey have saved
Let
x = Trey's savings
x + 27 = Tyler's savings
The sum of their savings is $85, which can be translated to
(x) + (x+27) = 85
Simplify the equation
x + x + 27 = 85
2x + 27 = 85
please help urgent
Use the formula A = P(1 + rt) to find the indicated quantity. P=$7996; r = 6%; t = 10 months; Find A. OA. $8475.76 OB. $8395.80 OC. $399.80 OD. $6663.33
Answer:
B) \(\$8395.80\)
Step-by-step explanation:
\(A=P(1+rt)\\A=7996(1+0.06\cdot\frac{10}{12})\\A=7996(1+0.05)\\A=7996(1.05)\\A=\$8395.80\)
This is all assuming that r=6% is an annual rate, making t=10/12 years
The sum of two numbers is 147 the difference of the two numbers is 25 what are the two number?
The two numbers, then, are 86 and 61.The two numbers can be found by using basic algebra.
The two numbers can be found by using basic algebra. To solve for the two numbers, we can set up two equations, one for the sum and one for the difference. For the sum, we can set up the equation: x + y = 147. For the difference, we can set up the equation: x - y = 25. We can then solve for x by adding y to both sides of the equation for the difference, so x = 25 + y. We can then substitute this value for x in the equation for the sum, so 25 + y + y = 147, or 2y = 122, and y = 61. We can then substitute this value for y in the equation for x, so x = 25 + 61, or x = 86. The two numbers, then, are 86 and 61.
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The best method to assess if sample data fit a normal distribution, assuming a minimum sample size of 125 is available, is:
The best method to assess if sample data fit a normal distribution, assuming a minimum sample size of 125 is available, is the Shapiro-Wilk test.
The Shapiro-Wilk test is a statistical test that evaluates the deviation of the data from a normal distribution. It is commonly used for assessing normality when the sample size is larger than 50. The test provides a p-value, which indicates the likelihood of the data being drawn from a normal distribution. If the p-value is greater than the chosen significance level (e.g., 0.05), it suggests that the data follows a normal distribution.
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Relate the area of the square to the length of each side.
The area of a square can be found by using the following expression:
\(A=l^2\)where "A" is the area and "l" is the length of each side of the square. The square on this problem has an area of 9 cm², so we can find the sides by replacing A for 9 on the expression above.
\(\begin{gathered} 9=l^2 \\ l^2=9 \end{gathered}\)To solve it we need to take the square root on both sides of the equation.
\(\begin{gathered} \sqrt[]{l^2}=\sqrt[]{9} \\ l=\sqrt[]{9} \\ l=3\text{ cm} \end{gathered}\)Each side of the square has a length of 3 cm, so the sides are 3 cm x 3 cm.
Consider the two solids shown.
What is the difference between the number of vertices of the two sides
Answer:
C. six
Step-by-step explanation:
A hexagonal prism has 18 edges and a hexagonal pyramid has 12 edges, therefore the difference between the number of edges of the two solids is six (6) because 18-12 is 6.
The word "difference" infers that we need to subtract numbers in order to find how many are left.
PLEASE HELP!!
During take off, a plane leaves the ground and travels in a straight line until it reaches a height of 9 km. The distance the plane flies during take-off should be in the range of 49 km to 53 km. What is the smallest possible angle that the path of the plane could make with the ground? Give your answer in degrees to 1 d.p.
On solving the provided question, we can say that angle, by trigonometry. angle = cos(x) = 50+53 /9; x = \(cos^{-1}(11.45)\)
what are angles?In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that meet at a point in the middle known as the angle's vertex. Two rays can generate an angle that is in the plane where the rays are located. The meeting of two planes also creates an angle. They are referred to as dihedral angles. An angle is the shape created by two rays or lines that have a shared termination in plane geometry. The Latin word "angulus," which meaning "horn," is the source of the English term "angle." The vertex is the common terminal of the two rays, which are referred to as the sides of the angle.
to find the .
height = 9 km
base = 50
by trigonometry,
angle = cos(x) = 50+53 /9
cos(x) = 50+53 /9
cos(x) = 103/9
cos(x) = 11.45
angle, x = \(cos^{-1}(11.45)\)
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i need the volume, the numbers put into the volume and the answer :))
The volume of the triangular prism on top is:
\(\begin{gathered} V1=(\frac{b\cdot h}{2})\cdot l \\ where\colon \\ b=20ft \\ h=25ft \\ l=22ft \\ V1=\frac{20\cdot25}{2}\cdot22 \\ V1=5500ft^3 \end{gathered}\)The volume of the rectangular prism underneath is:
\(\begin{gathered} V2=l2\cdot w\cdot h2 \\ where\colon \\ l2=22ft \\ w=20ft \\ h2=10ft \\ so\colon \\ V2=22\cdot20\cdot10 \\ V2=4400ft^3 \end{gathered}\)Therefore, the total volume will be:
\(\begin{gathered} V=V1+V2 \\ V=5500ft^3+4400ft^3 \\ V=9900ft^3 \end{gathered}\)The options from which a decision maker chooses a course of action are:.
A decision maker has to consider several factors when selecting a course of action. The options from which a decision maker chooses a course of action are generally influenced by several factors.
A decision maker has to consider several factors when selecting a course of action. The options from which a decision maker chooses a course of action are generally influenced by several factors. These factors may include the organization's objectives, resources available, legal and regulatory requirements, social and cultural norms, and other considerations. When making a decision, the decision maker has to weigh the pros and cons of each option and select the one that will best achieve the desired outcome.
In addition to the factors mentioned above, a decision maker may also need to consider the potential risks and benefits of each option. They may also need to consult with others who have expertise in the area, seek input from stakeholders, or conduct research to gather additional information. Once the decision maker has carefully considered all of these factors, they can then choose the course of action that best meets the needs of the organization.
The decision-making process can be a complex and challenging task. It requires careful thought, analysis, and evaluation of options to select the best course of action. A decision maker should also be aware of the potential consequences of their decision and take steps to minimize any negative impacts. Ultimately, the goal of the decision-making process is to make an informed choice that will lead to positive outcomes for the organization and its stakeholders.
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A parabola has a vertex of (3, 6) and passes through the point (1, 42).
we can model the parabola using a function in the form of f(x) = a(x - h)2 + k, where a, h,
and k represent real numbers.
find the value for a.
The value of the constant a for the parabola will be equal to a=9
What is a parabola?The parabola is an open curve, and a conic section which is produced by the intersection of a right circular cone and a plane parallel to an element of the cone.
Here we have the equation of the parabola:-
f(x)a(x-h)²+k
Since a parabola has a vertex of (3, 6) and passes through the point (1, 42).
By putting the values in the equation we can find the value of a;-
(42)=a(1-3)²+6
4a=42-6
a=36/4
a=9
Hence the value of the constant a for the parabola will be equal to a=9
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You and your family went to Chick-Fil-A for dinner and the total bill was $27.95. Since you are a part of the Chick-Fil-A Club, you can get a 15% discount. Which is the closest to the amount you save using your club membership?
Answer:
its 23.76
Step-by-step explanation:
I answered in the comments, but now I answered legit (there was a virus earlier lol)
Will make brainiest if 2 people answer :3
Answer:
1.6
Step-by-step explanation:
12.8/8 = 1.6
15.2/9.5 = 1.6
Scale factor = 1.6