satisfied, what is the probability that their hair was done by Amy? Express your answer as a percentage rounded to the nithout the % sign.
Answers
The probability that a client that was not satisfied had the hair done by Amy is given as follows:
25.75%.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The probability a client is not satisfied is given as follows:
0.06 x 0.27 + 0.07 x 0.3 + 0.03 x 0.43 = 0.0501.
3% of 43% corresponds to Amy, hence the probability is given as follows:
0.03 x 0.43/0.0501 = 0.2575 = 25.75%.
Missing InformationThe complete problem is given as follows:
At Sally's Hair Salon there are three hair stylists. 27% of the hair cuts are done by Chris, 30% are done by Karine, and 43% are done by Amy. Chris finds that when he does hair cuts, 6% of the customers are not satisfied. Karine finds that when she does hair cuts, 7% of the customers are not satisfied. Amy finds that when she does hair cuts, 3% of the customers are not satisfied. Suppose that a customer leaving the salon is selected at random. If the customer is not satisfied, what is the probability that their hair was done by Amy?
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The probability that the hair of a satisfied customer was done by Amy is 26.79% (rounded to two decimal places without the % sign).
The satisfied customers will frequently come back to the salon, and they will always request the same stylist who did their hair for the first time.
Additionally, the customers are happy to recommend the stylist who did their hair to their friends and family members.
In a particular salon, a total of 60% of all customers are satisfied with the outcome of the service they receive.
Moreover, 75% of all customers who have had their hair done by Amy were happy with the results.
The question is asking us to calculate the probability that their hair was done by Amy if they are satisfied.
P(Amy|satisfied) = P(Amy and satisfied)/P(satisfied)Using the formula above, we can compute the numerator as follows:
P(Amy and satisfied) = P(satisfied|Amy)
P(Amy) = 0.75 * 0.2
= 0.15
Here, P(satisfied|Amy) is the probability that a customer whose hair was done by Amy is satisfied, and P(Amy) is the probability that a customer had their hair done by Amy.
The value of P(Amy) is given in the statement of the problem as 0.2.
P(satisfied) = P(satisfied|Amy)P(Amy) + P(satisfied|not Amy)P(not Amy) =
0.75 * 0.2 + 0.5 * 0.8
= 0.56
Using the values above, we can compute the probability as follows:
P(Amy|satisfied) = P(Amy and satisfied)/P(satisfied)
= 0.15/0.56
= 0.2679
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Related Questions
flying with the wind, a small plane flew 338 mi in 2 h. flying against the wind, the plane could fly only 312 mi in the same amount of time. find the rate of the plane in calm air and the rate of the wind.
Answers
Flying with the wind, a small plane flew 338 mi in 2 h. flying against the wind, the plane could fly only 312 mi in the same amount of time. So, the rate of the plane in calm air is 162.5 mph, and the rate of the wind is 6.5 mph.
Let's use variables to represent the unknowns in this problem:
- Let p represent the rate of the plane in calm air (in miles per hour).
- Let w represent the rate of the wind (in miles per hour).
When the plane is flying with the wind, the combined speed (plane + wind) is (p + w) mph. It flies 338 miles in 2 hours, so we have:
1. (p + w) * 2 = 338
When flying against the wind, the net speed (plane - wind) is (p - w) mph. It flies 312 miles in 2 hours, so we have:
2. (p - w) * 2 = 312
Now, we'll solve the two equations simultaneously. First, divide both sides of each equation by 2:
1. p + w = 169
2. p - w = 156
Next, add the two equations together to eliminate the w variable:
(p + w) + (p - w) = 169 + 156
2p = 325
Now, divide by 2 to find the rate of the plane in calm air:
p = 325 / 2
p = 162.5 mph
Now that we have the rate of the plane, we can find the rate of the wind by substituting the value of p back into either equation 1 or 2. Let's use equation 1:
162.5 + w = 169
Subtract 162.5 from both sides to find w:
w = 169 - 162.5
w = 6.5 mph
So, the rate of the plane in calm air is 162.5 mph, and the rate of the wind is 6.5 mph.
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Can anyone please help me with this question?
Question: If α and β are the roots of 4x^2 + 3x + 7 = 0, find the value of 1/ α + 1/ β
Answers
The numeric value of the expression 1/α + 1/β is given as follows:
-3/7.
How to obtain the numeric value of the expression?The quadratic function in this problem is given as follows:
4x² + 3x + 7 = 0.
The coefficients of the quadratic function are given as follows:
a = 4, b = 3, c = 7.
The sum of the roots is given as follows:
α + β = -b/a.
Hence:
α + β = -3/4
The product of the roots is given as follows
αβ = c/a
Hence:
αβ =7/4.
These values are used to obtain the numeric value of the expression, as follows:
1/α + 1/β = (α + β)/αβ = (-3/4)/(7/4) = -3/7.
(the least common multiple of α and β is αβ, and then the least common factor is used to solve the expression).
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Locate any points of inflection. Enter your answer as (×, y)-pairs.
Answers
Step 1:
Concept
An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero. In other words, solve f '' = 0 to find the potential inflection points. Even if f ''(c) = 0, you can't conclude that there is an inflection at x = c.
Step 2:
Find the first derivative of the function.
\(\begin{gathered} f(x)=5x^3-30x^2\text{ - 7x - 2} \\ f^{\prime}(x)=15x^2\text{ - 60x - 7} \end{gathered}\)Step 3:
Find the second derivative
\(\begin{gathered} f^{\prime}(x)=15x^2\text{ - 60x - 7} \\ f^{\doubleprime}(x)\text{ = 30x - 60} \end{gathered}\)Step 4:
Next, set the second derivative equal to zero and solve. Because f '' is a polynomial, we have to factor it to find its roots.
\(\begin{gathered} 30x\text{ - 60 = 0} \\ 30x\text{ = 60} \\ \text{x = }\frac{60}{30} \\ \text{x = 2} \end{gathered}\)The solution is x = 2
Final answer
\(\begin{gathered} f(x)=5x^3-30x^2-7x\text{ - 2} \\ =5(2)^3-30(2)^2-7(2)\text{ - 2} \\ \text{= 40 - 120 - 14 - 2} \\ =\text{ }-96 \end{gathered}\)Inflection point = (2 , -96)
You received a $100 gift certificate to a clothing store. The store sells T-shirts for $15 and dress shirts for $22. You want to spend no more than the amount of the gift certificate. You want to spend at least $90. You need at least one dress shirt. What are all the possible combinations of T-shirts and dress shirts you could buy?
Answers
Answer:
0 T, 4 D
1 T, 3 D
2T, 3D
3T, 2D
4T, 1D
5T, 1D
Step-by-step explanation:
So let's start with what we know!
Gift certificate = $100
T-shirts = $15 each
Dress shirts = $22 each
You need to buy at least one dress shirt in the process and at least spend $90
You can simply find the combinations by going in desmos and writing in:
15x + 22y <= 100
y > 1
15x + 22y >= 90
Find the combinations by looking at the integer values of x, and using only the integer values of y ( do not round them, just cut them down to the integer). Look where all the regions are shaded
The possible combinations are as follows
Note: I am going to initial t-shirts to T and dress shirts to D
0 T, 4 D
1 T, 3 D
2T, 3D
3T, 2D
4T, 1D
5T, 1D
Your welcome for the answer! If you have any questions, let me know in the comments section! If you could mark this answer as the brainliest, I would greatly appreciate it!
Select all of the expression that are equivalent to 4(3x + 14y)
Answers
Answer:
12x + 64y
Step-by-step explanation:
This is the distributed property. You need to apply it according to this question
Convert 6 kilograms into pounds. Round your answer to the nearest tenth.
Answers
\(\boxed{\sf 1kg=2.205lbs}\)
\(\\ \sf\longmapsto 6kg\)
\(\\ \sf\longmapsto 6(2.205)\)
\(\\ \sf\longmapsto 13.23lbs\)
If 1 kg is equivalent to 2.2 pounds…. therefore 6 kg would be 6 x 2.2 which gives you 13.2
Please help!!!!!!
For the following questions, draw a normal distribution curve, then answer the questions.
The talk-time battery life of a group the talk-time battery life of a group of cell phones is
normally distributed with a mean of 5 hours and a
standard deviation of 15 minutes.
a. What percent of the phones have a battery life of at
least 4 hours and 45 minutes?
b. What percent of the phones have a battery life
between 4.5 hours and 5.25 hours?
c. What percent of the phones have a battery life less
than 5 hours or greater than 5.5 hours?
Answers
a). The percent of phones with a battery life of at least 4 hours and 45 minutes is 25%.
b). The percent of phones with a battery life between 4.5 hours and 5.25 hours is 37.5%. and
c). The percent of phones with a battery life less than 5 hours or greater than 5.5 hours is 45%.
The distribution of talk-time battery life of the group of cell phones is approximately a normal distribution with a mean of 5 hours and a standard deviation of 15 minutes.
a. The percent of phones with a battery life of at least 4 hours and 45 minutes is:
= (0.5) x (1 - (0.15/3))
= 0.25 or 25%.
b. The percent of phones with a battery life between 4.5 hours and 5.25 hours is:
= (0.5) x [(0.375 - 0.15)/3]
= 0.375 or 37.5%.
c. The percent of phones with a battery life less than 5 hours or greater than 5.5 hours is:
= (0.5) x (1 + (0.15/3))
= 0.45 or 45%.
Therefore, the distribution of talk-time battery life of the group of cell phones is approximately a normal distribution with a mean of 5 hours and a standard deviation of 15 minutes.
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Find the positive solution, to the nearest tenth, of f(x)
g(x) = -2x + 25.
X≈
Submit
= g(x), where f(x) = 3* - 2 and
Answers
The result will be the x value when the difference between the values of f(x) and g(x) is less than 0.1, which will be the positive solution to the nearest tenth of f(x)=g(x).
To find the positive solution, to the nearest tenth, of f(x)=g(x) using Cora's process, the steps are as follows:
Input the initial value of x,if x=0.
Calculate f(x) and g(x):
f(x) = x² - 8 = 0 - 8 = -8
g(x) = 2x - 4 = 0 - 4 = -4
If f(x) is less than g(x), then x should be increased and vice versa.
Increase or decrease x accordingly and calculate the new values of f(x) and g(x).
Keep repeating steps 3 and 4 until the difference between the values of f(x) and g(x) is less than 0.1.
Hence, the result will be the x value when the difference between the values of f(x) and g(x) is less than 0.1, which will be the positive solution to the nearest tenth of f(x)=g(x).
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Cora is using successive approximations to estimate a positive solution to f(x) = g(x), where f(x)=x2 - 8 and g(x)=2x - 4. The table shows her results for different input values of x. Use Cora's process to find the positive solution, to the nearest tenth, of f(x) = g(x)
based on the statistical analysis of exoplanet data, approximately what fraction of stars in the milky way have an earth-size planet in the habitable zone?
Answers
The fraction of stars in the milky way having an earth-size planet in the habitable zone are around 10-20%.
Milky way is the galaxy comprising our solar system and therefore marking Earth's location in the universe. The milky way galaxy is just one among billions of different galaxies in the universe.
It contains numerous stars and the planets revolving it. Thus, the milky way galaxy can said to contain thousands of planetary systems. The planets in turn can be habitable or non-habitable owing to atmospheric conditions.
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A gold bullion dealer advertised a bar of pure gold for sale. The gold bar had a mass of 2990 g and measured 2.81 cm×17.6 cm×3.13 cm. Use this information to determine if the bar was pure gold. (a) The volume of the bar is cm
3
and the mass of the bar is 2990 g, therefore, the density of the bar is equal to g/cm
3
Answers
Comparing the calculated density of the gold bar (19.085 g/cm^3) to the known density of pure gold (19.3 g/cm^3), we can conclude that the gold bar is likely to be pure gold.
Let's calculate the density correctly.The given information is as follows: Mass of the gold bar = 2990 g
Dimensions of the gold bar: 2.81 cm × 17.6 cm × 3.13 cm
To find the volume, we multiply the three dimensions:
Volume = 2.81 cm × 17.6 cm × 3.13 cm Now, let's calculate the volume:
Volume = 2.81 cm × 17.6 cm × 3.13 cm ≈ 156.709152 cm^3
Next, we can calculate the density of the gold bar using the formula:
Density = Mass / Volume ,Density = 2990 g / 156.709152 cm^3
Now we can calculate the density: Density ≈ 19.085 g/cm^3
The known density of pure gold is approximately 19.3 g/cm^3.
Comparing the calculated density of the gold bar (19.085 g/cm^3) to the known density of pure gold (19.3 g/cm^3), we can conclude that the gold bar is likely to be pure gold.
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X<-5
Graphing the inequality
Answers
Answer:
Draw the graph of line x=5 , which would be vertical line passing through (5,0) . Since x is less than but not equal to 5 , make it a dotted line and shade the region to the left.
Step-by-step explanation:
If f(x)= x³ + 7x²-x and g(x)=x²-3, what is the degree of g(f(x))?
•2
•3
•6
•8
Answers
g(x) = x^2 - 3
f(x) = x^3+7x^2-x
Start with the g(x) function. Replace every x with f(x)
g(x) = x^2 - 3
g(f(x)) = ( f(x) )^2 - 3
Then replace the f(x) on the right side with x^3+7x^2-x
g(f(x)) = (x^3+7x^2-x)^2 - 3
The highest term inside the parenthesis is x^3. Squaring this leads to (x^3)^2 = x^(3*2) = x^6
So the highest exponent found in g(f(x)) is 6, meaning the degree of is 6
pla shop mathematics
Answers
The number of trees more than 10m tall but not more than 20m tall is 18 trees.
How many of the trees are more than 10m tall but not more than 20m tall?0 < h ≤ 5 = 5
height greater than 0m less than or equal to 5m
5 < h ≤ 10 = 9
height greater than 5m less than or equal to 10m
10 < h ≤ 15 = 13
height greater than 10m less than or equal to 15m
15 < h ≤ 20 = 5
height greater than 15m less than or equal to 20m
20 < h ≤ 25 = 1
height greater than 20m less than or equal to 25m
The number of trees that are more than 10m tall but not more than 20m tall are;
10 < h ≤ 15 = 13
15 < h ≤ 20 = 5
So,
13 + 5 = 18 trees
Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.
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Describe the solutions of the following system in
parametric vector form. Also,
give a geometric description of the solution set.
x1 − x2 + 4x5 = 2
x3 − x5 = 2
x4 − x5 = 3
Answers
Solution set is a line that passes through the point (2, 2, 3, 0, 0) and is parallel to the vector [4, 0, 1, 0, 0].
The system of equations is:
x1 − x2 + 4x5 = 2
x3 − x5 = 2
x4 − x5 = 3
We can rewrite this system as:
x1 = x2 + 4x5 - 2
x3 = x5 + 2
x4 = x5 + 3
The first two equations tell us that x1 and x3 are equal to linear combinations of x5 and 2. The third equation tells us that x4 is also equal to a linear combination of x5 and 3.
Therefore, the solution set to the system is a line in ℝ⁵ that passes through the point (2, 2, 3, 0, 0) and is parallel to the vector [4, 0, 1, 0, 0].
In parametric vector form, the solution set can be written as:
x = (2, 2, 3, 0, 0) + t [4, 0, 1, 0, 0]
where t is an arbitrary real number.
Geometrically, the solution set is a line that passes through the point (2, 2, 3, 0, 0) and is parallel to the vector [4, 0, 1, 0, 0].
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Melinda makes the same number of
cupcakes, c, each week. Her total
number of cupcakes she makes each
week is less than 55. Write an inequality
to represent how many cupcakes
Melinda makes each week
Answers
To represent how many cupcakes Melinda makes each week, we can use the inequality "c < 55".
This inequality states that the total number of cupcakes, represented by "c", is less than 55. In the given scenario, Melinda makes c cupcakes each week, and this number is less than 55. To represent this situation using an inequality, you can write the expression: c < 55
This inequality states that the number of cupcakes Melinda makes each week (c) is less than 55. This ensures that the total number of cupcakes she makes each week does not exceed the specified limit.
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Evelyn is taking a multiple choice test with a total of 20 points available. Each
question is worth exactly 1 point. What would be Evelyn's test score (out of 20) if she
got 3 questions wrong? What would be her score if she got z questions wrong?
Answers
Answer:
85%
Step-by-step explanation:
There is a formula for solving for percentages:
part/whole=%/100
So, Evelyn got a 17/20, yes? The when you plug in the info yo have you get:
17/20=x/100
The next step is that you criss-cross multiply, then divide. So you'd take whatever top number is there and multiply it with the 100.
17x100=1700 1700/20=85
I hope that makes sense!
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.
Answers
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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Solve for x.
6x - 4(3x – 5) = 2
o
11
X =
B. x = 3
o
C. X=-3
__11
Answers
Answer:
c x=3
Step-by-step explanation:
I did the math for it
6x-12x+20=2
-6x+20=2
-6x=2-20
-6x=-18
x=3
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded
monthly. Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously. After 14 years, how much more money would Matthew
have in his account than Peyton, to the nearest dollar?
Answers
Answer:
$126
Step-by-step explanation:
We solve using Compound Interest formula
For Matthew
Matthew invested $4,700 in an account paying an interest rate of 3 3/8% compounded monthly.
P = $4700
R = 3 3/8 % = 3.375 %
t = 14 years
n = Compounded Monthly = 12
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 3.375/100
r = 0.03375 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 4,700.00(1 + 0.03375/12)^(12)(14)
A = 4,700.00(1 + 0.0028125)^(168)
A = $7,533.80
For Peyton, we are using a different compound interest formula because it is compounded continuously
Peyton invested $4,700 in an account paying an interest rate of 3 1/4%
compounded continuously.
P = $4700
R = 3 1/4 % = 3.25%
t = 14 years
n = Compounded continuously
First, convert R as a percent to r as a decimal
r = R/100
r = 3.25/100
r = 0.0325 rate per year,
Then solve the equation for A
A = Pe^rt
A = 4,700.00e^(0.0325)(14)
A = $7,408.01
After 14 years, the amount of money Matthew would have in his account than Peyton, to the nearest dollar is calculated as:
$7,533.80 - $7,408.01
= $125.79
Approximately = $126 to the nearest dollar
Answer:
126
Step-by-step explanation:
126 to the nearest dollar
Solve 3x+ 4x = 2. (2 points)
O 2t10
O-2+2v10
3
O-2±10
3
O -41v10
3
Answers
You add 3x and 4x which gets you 7x
7x=2
You divide both sides of the equation by 7
x=2/7
This will be your result
The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 39 and standard deviation σ = 6. Use the TI-84 Plus calculator to answer the following.
(a) Find the 19th percentile of the tire lifetimes.
(b) Find the 71st percentile of the tire lifetimes.
(c) Find the first quartile of the tire lifetimes.
(d) The tire company wants to guarantee that its tires will last at least a certain number of miles. What number of miles (in thousands) should the company guarantee so that only 2% of the tires violate the guarantee?Round the answers to at least two decimal places.
Answers
The TI-84 Plus calculator can be used to find various percentiles and guarantee values for a certain type of automobile tire. The 19th percentile of tire lifetimes is approximately 35.38 thousand miles. The 71st percentile is approximately 42.85 thousand miles. The first quartile, which represents the 25th percentile, is approximately 37.07 thousand miles. To ensure that only 2% of the tires violate the guarantee, the tire company should guarantee a minimum of approximately 31.35 thousand miles.
To find the percentiles and guarantee values using the TI-84 Plus calculator, we can utilize the normal distribution function. Given that the lifetime of the automobile tires is normally distributed with a mean (μ) of 39 thousand miles and a standard deviation (σ) of 6 thousand miles, we can apply these values to the calculator.
(a) To find the 19th percentile, we input the following command: invNorm(0.19, 39, 6). The calculator will provide an output of approximately 35.38 thousand miles.
(b) For the 71st percentile, we use the command: invNorm(0.71, 39, 6). The calculator will yield an approximate value of 42.85 thousand miles.
(c) The first quartile, representing the 25th percentile, can be obtained by entering: invNorm(0.25, 39, 6). The calculator will give an output of approximately 37.07 thousand miles.
(d) To determine the guarantee value for which only 2% of the tires violate the guarantee, we use the command: invNorm(0.02, 39, 6). The calculator will provide an approximate value of 31.35 thousand miles.
These calculations give us the requested percentiles and guarantee value for the tire lifetimes, rounded to at least two decimal places.
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The radius of a circle is 4.1 inches. What is the circle's circumference?
Answers
Answer:
C≈25.76in
Step-by-step explanation:
The price of a new car is £12500
It is reduced by £11625
Work out the percentage reduction
Answers
To work out the percentage reduction, we need to find the difference between the original price and the reduced price, and express that difference as a percentage of the original price:
Original price = £12500
Reduced price = £11625
Difference = £12500 - £11625 = £875
Percentage reduction = (Difference / Original price) x 100%
= (£875 / £12500) x 100%
= 7%
Therefore, the percentage reduction in the price of the car is 7%.
Answer:
Step-by-step explanation:
Discount \(= \pounds12,500 -\pounds11625= \pounds875\)
Percentage reduction \(=\frac{875}{12500} \times 100 = 7\)
The price of a new car was reduced by 7%.
what is the area of the figure below
Answers
Answer:
58 in ^2
Step-by-step explanation:
Triangle on top area = 1/2 base * height = 1/2 * 6 * 3 = 9 in^2
Triangle on bottom = 1/2 base * height = 1/2 * 8 * 6 = 24 in^2
For trapezoid in the middle area = 1/2 ( 4+6)*5 = 25 in^2
Sum = 58 in^2
define a transformation t:[3->[2by t(x)=ax. find t(u), the image ofuunder the transformation t.
Answers
The transformation t is defined as t(x) = ax, where a is a constant.
To find the image of u under the transformation t, we need to substitute u for x in the expression t(x).
The transformation t:[3 ≥ [2 is defined as t(x)=ax, where a is a constant.
This means that for any given value of x in the domain [3,
the transformation t maps it to a corresponding value of ax in the codomain [2.
To find the image of u under the transformation t
t(u) = au.
This means that the image of u under the transformation t is the value of au in the codomain [2.
For example, if u = 4 and a = 2, then t(u) = 2(4) = 8, which is the image of u under the transformation t.
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a right cone has a radius of 5 cm and an altitude of 12 cm. find its volume. question 16 options: a) 942.5 cm3 b) 300 cm3 c) 314.2 cm3 d) 64.1 cm3
Answers
The volume of the right cone is approximately c) 314.2 cm^3.
To find the volume of a right cone, you can use the formula V = (1/3)πr^2h, where r is the radius and h is the altitude.
In this case, the radius is 5 cm and the altitude is 12 cm. Plugging these values into the formula, we get:
V = (1/3)π(5^2)(12) = (1/3)π(25)(12) = (1/3)(25π)(12) = (25π)(4) = 100π cm^3.
To approximate this value, we can use the approximation π ≈ 3.14.
So, V ≈ 100(3.14) = 314 cm^3.
Therefore, the volume of the right cone is approximately 314.2 cm^3.
Hence, the correct answer is c) 314.2 cm^3.
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Simplify (4y+6)-(3y-5)
Answers
Answer:
y+1
Step-by-step explanation:
4y-3y+6-5
Name a ratio that is equivalent to 2:3
Answers
Answer:
4:6
Step-by-step explanation:
You multiply 2 by 2 and you get 4, if you multiply 3 by 2 you get 6, so that means they are equivalent.
What is the slope of this line? (5 points)
Show all work.
Answers
Answer:
-2,2
Step-by-step explanation:
Which one of the following modes of entry offers the highest level of control to the investing firms? a. Contractual Agreements b. Joint Venture c. Equity Participation d. FDI
Answers
DI is generally considered to provide the highest level of control to investing firms compared to other modes of entry.
The mode of entry that offers the highest level of control to the investing firms is d. FDI (Foreign Direct Investment).
Foreign Direct Investment refers to when a company establishes operations or invests in a foreign country with the intention of gaining control and ownership over the assets and operations of the foreign entity. With FDI, the investing firm has the highest level of control as they have direct ownership and decision-making authority over the foreign operations. They can control strategic decisions, management, and have the ability to transfer technology, resources, and knowledge to the foreign entity.
In contrast, the other modes of entry mentioned have varying levels of control:
a. Contractual Agreements: This involves entering into contractual agreements such as licensing, franchising, or distribution agreements. While some control can be exercised through these agreements, the level of control is typically lower compared to FDI.
b. Joint Venture: In a joint venture, two or more firms collaborate and share ownership, control, and risks in a new entity. The level of control depends on the terms of the joint venture agreement and the ownership structure. While some control is shared, it may not offer the same level of control as FDI.
c. Equity Participation: Equity participation refers to acquiring a minority or majority stake in a foreign company without gaining full control. The level of control depends on the percentage of equity acquired and the governance structure of the company. While equity participation provides some level of control, it may not offer the same degree of control as FDI.
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