Answers
Answer: 1: C=72.3822947387, A=416.560184761, 2: C=37.6991118431, A=113.097335529
Step-by-step explanation:
For the first circle, since the area of a circle is equal to pi multiplied by the radius squared, we can use this equation:
[tex]\pi11.52^{2}[/tex]
Now we can multiply the radius by 2 to get the diameter, which is 23.04, and multiply the diameter by pi to get the circumference, 72.3822947387.
If you want an exact circumference, all you need to do is display the diameter multiplied by pi without simplification, which would look like this:
23.04π.
We can do the same thing for the second circle. Because we already have the diameter, I will start with the circumference.
12pi = 37.6991118431, which is just simplified to 12pi. The reason you want to have pi in your answer for an exact answer, is because otherwise your answer would have to be an irrational decimal constant, which cannot fit on one page.
Now for the area of the second circle. Divide the diameter by 2, and multiply pi by the radius squared. This is an equation that would look something like this:
[tex]\pi6^{2}[/tex], which can simplify to [tex]\pi36[/tex] as an exact answer.
Related Questions
Is the random variable discrete or continuous?
The number of passengers in a passenger vehicle on a highway at rush hour
Answers
The random variable is discrete because it can only take on integer values.
You cannot have a fraction or decimal number of passengers in a vehicle. For example, a vehicle can have 1, 2, 3, or 4 passengers, but it cannot have 2.5 passengers. Discrete variables have a countable number of possible values and can be listed and counted. In contrast, continuous variables can take on any value within a range and are not limited to specific values. Examples of continuous variables include time, weight, and height.
Learn more about discrete variable:
https://brainly.com/question/14354370
#SPJ4
Why is it important to learn math? Give three reasons
Answers
Answer: here
Step-by-step explanation:
Math is used in various careers such as construction. You will need to know the dimensions to make sure whatever it is being constructed is stable.
Math can help you financially. It can help you budget and prevent you from going into debt.
Math can help you understand real world problems better even if you may not use everything that you learn.
Answer:
Mathematics provides an effective way of building mental discipline and encourages logical reasoning and mental rigor. In addition, mathematical knowledge plays a crucial role in understanding the contents of other school subjects such as science, social studies, and even music and art. It gives us a way to understand patterns, to quantify relationships, and to predict the future. Math helps us understand the world — and we use the world to understand math. The world is interconnected. Everyday math shows these connections and possibilities.
Step-by-step explanation:
1.we use mathematics for our daily living
2.from day care of school we started our mathematics lesson
3.mathematics is the most important specially when your in business 1.our daily living needs simple mathematics to calculate. example; I buy a goods amounted 100 pesos then I have 500 pesos in my pocket so i am sure 400 pesos is my change.
2.From the very beginning or the early stage of our education we have to start learning mathematics so the as we grow older math is in our brain system.
3.In business we know that math is very important because we calculate the capital, expenses, equals the profit.
solve this problem and I will give u brainlist!
Answers
Answer:
32.16 degrees
Step-by-step explanation:
The angle of depression in these problems is always the same as the angle of elevation.
With that in mind, lets solve this problem.
So we are given 2 triangle lengths. The Hypotenuse is 898 ft, and the height of your triangle is 478 ft.
There are three trig functions, sine, cosine, and tangent, but we will be using sin for this triangle because he have the opposite side to the angle(see how the side labeled 478 ft is opposite to the angle of elevation?) and the hypotenuse.
Sin is defined as opposite/hypotenuse.
Now, we make our equation:
sin(478/898) = x
x is your answer, just plug it into a calculator.
You get 32.16 degrees
6)y=4
help me please
Answers
Answer:
y = 4 is line parallel to x-axis. In that line, each point's y-co-ordinate is 4.
ASAP!!!! (Please do not copy off other people's answers.)
The following is a list of movie tickets sold each day for 10 days.
14, 35, 20, 23, 42, 87, 131, 125, 64, 92
Which of the following intervals are appropriate to use when creating a histogram of the data?
0 – 29, 30 – 59, 60 – 89, 90 – 119, 120 – 149
0 – 30, 30 – 55, 55 – 80, 80 – 105, 105 – 130
0 – 24, 25 – 49, 50 – 74, 75 – 99, 100 – 125
0 – 35, 35 – 70, 70 – 105, 105 – 140
Answers
Answer:
I think it's D
Step-by-step explanation: Because 14 20 23 35 42 64 87 92 125 131 are the order so D can incase all of them
Please prove7. A bowl contains 9 marbles, each of which is red, blue or green. Show that at least 3 of these marbles are red, 3 are blue or 5 are green.
Answers
The probability that they are all of different colors when a bag contains 9 marbles is 9/28.
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
Total number of marbles=9
Number of red marbles=3
Number of blue marbles=3
Number of yellow marbles=3
Three marbles are selected from the bag at random probability that they are all different color:
[tex]\frac{^3C_1*^3C_1*^3C_1}{^9C_3} = \frac{9}{28}[/tex].
Therefore, the probability that they are all of different colors is 9/28.
Learn more about Probability:
https://brainly.com/question/31312890
#SPJ4
Complete question:
A bag contains 9 marbles, 3 of which are red, 3 of which are blue, and 3 of which are yellow. If three marbles are selected from the bag at random, what is probability that they are all of different colors?
The conclusion is that in a bowl containing 9 marbles, at least 3 of them are red, at least 3 are blue, or at least 5 are said to be green.
What ae the marbles?The use of Pigeonhole Principle to prove the statement will be done in this question.
The Pigeonhole Principle is one that states that if there are more pigeons than pigeonholes, then at least one pigeonhole needs to have more than one pigeon.
So lets assume for contradiction that there are not at least 3 red marbles, 3 blue marbles, or 5 green marbles.
Case 1: There are fewer than 3 red marbles.
If less than 3 red marbles, then max 2 red marbles. 9 - 2 = 7 marbles left. 7 marbles: blue/green. With more than 3 marbles and assumed 2 red marbles, it violate the Pigeonhole Principle.
Case 2: There are fewer than 3 blue marbles.
If 3 blue marbles, then max 2 blue marbles. 9-2=7 marbles left, red or green. "More marbles than pigeonholes - against the Pigeonhole Principle."
Case 3: There are fewer than 5 green marbles.
5 green marbles, 4 green marbles. We have more marbles than pigeonholes, so against the Pigeonhole Principle.
So, there is contradiction in all 3 cases, our initial assumption that there are not at least 3 red marbles, 3 blue marbles, or 5 green marbles have to be false.
So, we can say that in a bowl containing 9 marbles, at least 3 of them are red, at least 3 are blue, or at least 5 are green.
Another is:
Total number of marbles=9
Number of red marbles=3
Number of blue marbles=3
Number of yellow marbles=3
So, the probability that they are all of different colors is 9/28.
Learn more about Probability from
https://brainly.com/question/24756209
#SPJ4
-8 (3x-2) -7 =-1/2 (4x+2) +7
Answers
Answer:x= 3/22
Step-by-step explanation:
Distribute
Subtract the numbers
Combine multiplied terms into a single fraction
Distribute
Find common denominator
Combine fractions with common denominator
Multiply the numbers
Add the numbers
What is the contrapositive of the conditional statement? If two variables are directly proportional, then their graph is a linear function
Answers
The contrapositive of the given statement is “If their graph is a linear function, then the two variables are directly proportional”, option B is correct.
The contrapositive of a conditional statement switches the order of the clauses and negates them both. In general, the contrapositive of a conditional statement has the same truth value as the original statement.
It can be a useful tool in logic and proofs because it can help simplify the statement and make it easier to prove or disprove. For example, if we wanted to prove the original statement, we could instead prove its contrapositive, option B is correct.
To learn more about contrapositive follow the link:
https://brainly.com/question/5306301
#SPJ1
The complete question is:
What is the contrapositive of the conditional statement?
A) If their graph is not a linear function, then the two variables are not directly proportional.
B) If their graph is a linear function, then the two variables are directly proportional.
C) If two variables are not directly proportional, then their graph is not a linear function.
D) If their graph is a non-linear function, then the two variables are not directly proportional.
please answer questions a.b.c.d
Assume a Poisson distribution a. If 2 = 2.5, find P(X= 2). c. If = 0.5, find P(X= 1). b. If a = 8.0, find PIX = 7). d. If i = 3.7, find P(X = 3). a. P(X=2)= (Round to four decimal places as needed.)
Answers
a)
P(X = 2) = 0.1839
b)
P(X = 7) = 0.0573
c)
P(X = 1) = 0.3033
d)
P(X = 3) = 0.1413
We have,
a. To find P(X = 2) when λ = 2.5, we can use the Poisson probability mass function:
P(X = 2) = (e^(-λ) x λ^X) / X!
Substituting λ = 2.5 and X = 2, we get:
P(X = 2) = (e^(-2.5) x 2.5²) / 2!
P(X = 2) ≈ 0.1839 (rounded to four decimal places)
b.
To find P(X = 7) when λ = 8.0, we can again use the Poisson probability mass function:
P(X = 7) = (e^(-λ) x λ^X) / X!
Substituting λ = 8.0 and X = 7, we get:
P(X = 7) = (e^(-8.0) x 8.0^7) / 7!
P(X = 7) ≈ 0.0573 (rounded to four decimal places)
c.
To find P(X = 1) when λ = 0.5, we use the same formula:
P(X = 1) = (e^(-λ) x λ^X) / X!
Substituting λ = 0.5 and X = 1, we get:
P(X = 1) = (e^(-0.5) * 0.5^1) / 1!
P(X = 1) ≈ 0.3033 (rounded to four decimal places)
d.
To find P(X = 3) when λ = 3.7, we can use the Poisson probability mass function:
P(X = 3) = (e^(-λ) * λ^X) / X!
Substituting λ = 3.7 and X = 3, we get:
P(X = 3) = (e^(-3.7) x 3.7³) / 3!
P(X = 3) ≈ 0.1413 (rounded to four decimal places)
Thus,
P(X = 2) = 0.1839
P(X = 7) = 0.0573
P(X = 1) = 0.3033
P(X = 3) = 0.1413
Learn more about Poisson distribution here:
https://brainly.com/question/28233470
#SPJ11
Timothy had 30 dollars to spend on 3 gifts. He spent 10 9/10 dollars on gift A and 3 3/5 on gift B. How much money did he have left for gift C?
Answers
The amount of money left for gift c is 15 5/10 dollars
How to calculate the amount of money that is left for gift C?Timothy had 30 dollars to spend on three gifts
He spent 10 9/10 dollars on gift A
He spent 3 3/5 dollars on gift B
The amount spent on gift C can be calculated as follows
10 9/10 + 3 3/5
= 109/10 + 18/5
= 545 + 180/50
= 725/50
= 145/10
30 - 145/10
= 30/1 - 145/10
= 300-145/10
= 155/10
= 15 5/10
Hence the amount of Money left for gift C is 15 5/10 dollars
Read more on dollars here
https://brainly.com/question/30715842
#SPJ1
Given y = 4e3x + Inv5x + 4 find the slope of the tangent at x = 1.5
Answers
Answer:
To find the slope of the tangent to the curve y = 4e^(3x) + (1/5)x + 4 at x = 1.5, we need to take the derivative of y with respect to x and evaluate it at x = 1.5.
The derivative of y with respect to x is:
dy/dx = 12e^(3x) + (1/5)
So, the slope of the tangent to the curve at x = 1.5 is:
dy/dx | x=1.5 = 12e^(3(1.5)) + (1/5)
dy/dx | x=1.5 = 12e^(4.5) + 0.2
dy/dx | x=1.5 ≈ 197.515
Therefore, the slope of the tangent to the curve y = 4e^(3x) + (1/5)x + 4 at x = 1.5 is approximately 197.515.
The slope of the tangent to the curve y = 4e^(3x) + 1/(5x) + 4 at x = 1.5 is approximately 512.558.
To find the slope of the tangent to the curve y = 4e^(3x) + 1/(5x) + 4 at x = 1.5, we need to take the derivative of y with respect to x and evaluate it at x = 1.5.
Taking the derivative of y with respect to x using the sum and power rules of differentiation, we get:
y' = 12e^(3x) - 1/(5x^2)
Now we substitute x = 1.5 to get:
y'(1.5) = 12e^(3(1.5)) - 1/(5(1.5)^2)
Simplifying, we get:
y'(1.5) = 12e^(4.5) - 1/11.25
Using a calculator, we can evaluate this expression to get:
y'(1.5) ≈ 512.558
Therefore, the slope of the tangent to the curve y = 4e^(3x) + 1/(5x) + 4 at x = 1.5 is approximately 512.558.
To learn more about expression visit:
https://brainly.com/question/14083225
#SPJ11
Which event will have a sample space of S = {h, t}?
Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
Answers
The event that have a sample space of h and t would be Flipping a fair, two-sided coin. That is option A.
How to determine the sample space for the event?To calculate the possibility of selecting an outcome form an event the formula that should be used is given as follows;
Probability = possible outcome/sample space.
For a coin, the possible sample space = H and T when flipped only once.
Therefore, the event that have a sample space of h and t would be Flipping a fair, two-sided coin.
Learn more about probability here:
https://brainly.com/question/24756209
#SPJ1
15 pts A store sells a product that has the annual demand of 10,054 units. It purchases the product from supplier A for $83.4 per unit. The unit inventory carrying cost per year is 18 percent of the unit purchase cost. The cost to place and process an order from the supplier is $69 per order. Supplier A has a delivery lead time of 14 days. The store operates 300 days a year. Assume EOQ model is appropriate. If the manufacturer uses an order quantity of 1,146 units per order, what is the length of the inventory cycle in days for the store? Use at least 4 decimal places,
Answers
The length of the inventory cycle in days for the store when using an order quantity of 1,146 units per order is approximately 34.2216 days. To answer your question about the length of the inventory cycle in days for the store using an EOQ model and an order quantity of 1,146 units per order, we'll follow these steps:
Step:1. Calculate the EOQ (Economic Order Quantity) using the given information:
EOQ = √(2DS / H), where D is the annual demand, S is the ordering cost per order, and H is the holding cost per unit per year.
D = 10,054 units per year
S = $69 per order
H = 18% of the unit purchase cost ($83.4) = 0.18 * $83.4 = $15.012 per unit per year
EOQ = √(2 * 10,054 * 69 / 15.012) ≈ 1,146 units (the provided order quantity)
Step:2. Calculate the number of orders per year:
Number of Orders = Annual Demand / Order Quantity = 10,054 / 1,146 ≈ 8.7699 orders per year
Step:3. Calculate the inventory cycle length in days:
Inventory Cycle Length (Days) = (Operating Days per Year) / (Number of Orders per Year) = 300 / 8.7699 ≈ 34.2216 days
Therefore, the length of the inventory cycle in days for the store when using an order quantity of 1,146 units per order is approximately 34.2216 days.
Learn more about inventory cycle here, https://brainly.com/question/29565047
#SPJ11
Part A: Create your own experiment with 5 or more possible outcomes. (2 points)
Part B: Create the sample space for your experiment in Part A. Explain how you determined the sample space. (2 points)
Answers
Experiment: "Favorite Cake Flavor"
Hypothesis: Different people have different favorite cakes flavors.
Now, Data collection enables us to identify the cakes flavors both popular and unpopular amongst users.
Furthermore, data analysis based on factors such as age, gender, and location allows for determining if disparities exist between consumer flavor preferences.
The findings of this study would be beneficial to cakes manufacturers and retailers, as they could enhance comprehension of preferred buyer choices and eventuate their products accordingly.
Conclusively, improved knowledge of preferred flavor profiles would facilitate refining marketing methodologies to attract a broader target audience.
Learn more about experiments on;
brainly.com/question/17274244
#SPJ1
10. solve the following absolute value equation for Express your wower in interval notation 1-31> 4
Answers
The solution to the absolute value equation |x-3| > 4 is (-∞, -1) U (7, ∞) in interval notation
To solve the absolute value equation |x-3| > 4 and express the answer in interval notation, follow these steps:
1. Break the absolute value inequality into two separate inequalities:
a) x - 3 > 4 (when x - 3 is positive)
b) -(x - 3) > 4 (when x - 3 is negative)
2. Solve each inequality:
a) x - 3 > 4 => x > 7
b) -(x - 3) > 4 => -x + 3 > 4 => -x > 1 => x < -1
3. Write the solution in interval notation:
(-∞, -1) U (7, ∞)
Learn more about the absolute value equation: https://brainly.com/question/5012769
#SPJ11
determine which vector spaces each set is a subset of. then determine whether or not each subset is a subspace of that vector space.
Answers
To determine if the given subset is a subspace, verify that it satisfies the following conditions:
a. It contains the zero vector.
b. It is closed under vector addition.
c. It is closed under scalar multiplication.
let's first define the terms:
1. Vector space: A collection of vectors that follow certain rules, such as closure under addition and scalar multiplication.
2. Subset: A set containing elements that are also elements of another set, called the superset.
3. Subspace: A subset of a vector space that is also a vector space by itself, following the same rules as the superset.
Now, you have not provided specific sets to analyze, but I can give you a general approach:
1. Identify the given set and check if it belongs to a known vector space (e.g., ℝ², ℝ³, or other function spaces).
2. To determine if the given subset is a subspace, verify that it satisfies the following conditions:
a. It contains the zero vector.
b. It is closed under vector addition.
c. It is closed under scalar multiplication.
If a given subset satisfies all of the above conditions, then it is a subspace of the identified vector space. If you can provide specific sets, I'd be happy to help you determine whether they are subspaces of a particular vector space.
learn more about Vector space:
https://brainly.com/question/16205930
#SPJ11
There are 10 brown, 10 black, 10 green, and 10 gold marbles in bag. A student pulled a marble, recorded the color, and placed the marble back in the bag. The table below lists the frequency of each color pulled during the experiment after 40 trials..
Outcome Frequency
Brown 13
Black 9
Green 7
Gold 11
Compare the theoretical probability and experimental probability of pulling a brown marble from the bag.
The theoretical probability, P(brown), is 50%, and the experimental probability is 25%.
The theoretical probability, P(brown), is 50%, and the experimental probability is 22.5%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 13.0%.
The theoretical probability, P(brown), is 25%, and the experimental probability is 32.5%.
Answers
Answer:A."The theoretical probability, P(gold), is 25%
explanation:It's realy simple
D'Angelo is reviowing potential sources for his research writing assignment. One of the articles covers his topic, but from a very different point of view, one that he is not reallyconsidoring in his thesis. While the articie.is very interesting, and seems at first glance to apply to his topic, D'Angelo is woried that this article is outside the scope of his ownpaper What aspect of fthe C.RAAP method is D'Angelo using to consider this article?O. PurposeO. RelevanceO. CurencyO. Authority
Answers
D'Angelo is reviewing potential sources for his research writing assignment and is considering an article with a different point of view. In this situation, he is using the Relevance aspect of the CRAAP method to determine if the article is appropriate for his paper.
The CRAAP method stands for Currency, Relevance, Authority, Accuracy, and Purpose, and helps evaluate the credibility and reliability of sources.
In this scenario, D'Angelo is reviewing an article that covers his topic, but from a different point of view that he is not considering in his thesis. While the article may be interesting, it may not be directly relevant to his research paper if it does not contribute to his thesis statement. D'Angelo is using the relevance aspect of the CRAAP method to evaluate whether or not to include this article in his research writing assignment. By doing so, he is ensuring that he uses sources that are directly relevant to his thesis and will help support his arguments.
To learn more about thesis visit : https://brainly.com/question/2094985
#SPJ11
Emma ate 2 apples, Jacob ate 2.5 apples, Isaac ate 1.25 apples and Mia ate 1.75 apples. What was the total number of apples that these 4 students ate?
Answers
Answer:
They ate a total of 7.5 apples.
Step-by-step explanation:
The total number of apples that these 4 students ate is:
2 + 2.5 + 1.25 + 1.75 = 7.5
Therefore, they ate a total of 7.5 apples.
Answer: 7.5
Step-by-step explanation: 2 + 2.5 = 4.5
4.5 + 1.25 = 5.75
5.75 + 1.75 = 7.5
Jesaki Bank offers a 10-year CD that earns 2.3% compounded continuously. Answer the following questions about this account. If $12,864 is is invested in this CD, how much will it be worth at maturity in 10 years? Round to the nearest cent
Answers
If $12,864 is invested in Jesaki Bank's 10-year CD that earns 2.3% compounded continuously, it will be worth $15,449.83 at maturity in 10 years. This calculation can be done using the formula:
A = Pe^(rt)
Where A is the amount at maturity, P is the principal amount (or initial investment), e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time period.
Substituting the given values, we get:
A = 12864 * e^(0.023*10)
A = 12864 * e^0.23
A = 12864 * 1.258871
A = 15,449.83
Therefore, the amount invested in Jesaki Bank's 10-year CD will be worth $15,449.83 at maturity in 10 years, rounded to the nearest cent.
To find the maturity value of the CD after 10 years, we will use the formula for continuous compounding:
A = P * e^(rt)
Where:
A = Maturity value
P = Principal amount invested (in this case, $12,864)
e = Base of the natural logarithm (approximately 2.71828)
r = Annual interest rate (in decimal form, 0.023 for 2.3%)
t = Time in years (10 years)
Step 1: Convert the annual interest rate to a decimal.
2.3% = 0.023
Step 2: Plug the given values into the continuous compounding formula.
A = $12,864 * e^(0.023 * 10)
Step 3: Calculate the exponent part of the formula.
0.023 * 10 = 0.23
Step 4: Calculate the maturity value.
A = $12,864 * e^0.23 ≈ $16,079.95
So, after 10 years, the maturity value of the $12,864 invested in the Jesaki Bank 10-year CD with 2.3% interest compounded continuously will be approximately $16,079.95, rounded to the nearest cent.
Learn more about interest at : brainly.com/question/22597509
#SPJ11
which of the following successfully switches the integer values of the variables x and y? temp may be used as a temporary variable if necessary. x
Answers
A web server is software and hardware that uses HTTP (Hypertext Transfer Protocol) and other protocols to respond to client requests made over the World Wide Web. The main job of a web server is to display website content by storing, processing, and delivering web pages to users.
To successfully switch the values of the variables x and y using a temporary variable called "temp," you can follow these steps:
1. Assign the value of x to the temporary variable: temp = x;
2. Assign the value of y to the variable x: x = y;
3. Assign the value stored in the temporary variable (temp) to the variable y: y = temp; By following these steps, the values of the variables x and y will be switched using the temporary variable "temp."The purpose of the break statement is to break out of a loop early. For example, if the following code asks you to input an integer number, x, If x is divisible by 5, the break statement is executed, and this causes the exit from the loop.The break statement ends the loop immediately when it is encountered. Its syntax is broken. The break statement is almost always used with an if-else statement inside the loop.
Learn more about the switch: https://brainly.com/question/14883923
#SPJ11
The double-entry principle in the balance of payments How will the following transactions affect the U.S. balance of payments? A Saudi Arabian oil company purchases $1 million worth of U.S. government bonds from a U.S. bank, paying from its account held with the bank. This transaction will appear as a credit in the account and as a debit In the __________ account. financial capital current Arielle, a French tourist, stays at a hotel In San Francisco and pays $400 for it with her debit card issued by a French bank. This transaction will appear as a credit in the _______ account and as a debit in the _________ account. Frank, a U.S. resident, receives yen 500, 000 in dividend payments on shares that he holds in a Japanese company, which are deposited in his account in a Japanese bank. This transaction will appear as a credit in the __________ account and as a debit in the ___________ account.
Answers
The double-entry principle in the balance of payments states that every transaction in the balance of payments is recorded as both a credit and a debit.
In the first transaction, the Saudi Arabian oil company's purchase of $1 million worth of U.S. government bonds from a U.S. bank will appear as a credit in the financial capital account and as a debit in the current account.
In the second transaction, Arielle's payment of $400 for her hotel stay in San Francisco using her French bank-issued debit card will appear as a credit in the current account and as a debit in the financial capital account.
In the third transaction, Frank's receipt of yen 500,000 in dividend payments on his shares in a Japanese company, which are deposited in his account in a Japanese bank, will appear as a credit in the financial capital account and as a debit in the current account.
Learn more about balance here:
brainly.com/question/16245706
#SPJ11
Help me please will mark brainiest if you explain how
Answers
The graph is attached.
Given is a triangle ABC, we need to find its coordinates if it is reflected over y = -x,
The rule of reflection over y = -x is,
(x, y) = (-x, -y)
So,
A = (-5, -4)
B = (1, -4)
C = (-1, -5)
After reflection,
A' = (5, 4)
B' = (-1, 4)
C' = (1, 5)
Hence the points after reflection are A' = (5, 4), B' = (-1, 4) and C' = (1, 5)
Learn more about reflection click;
brainly.com/question/30270479
#SPJ1
Given the circle with center at S and the points of tangency P and R.
Q
14x-13
P
The value of x is (Select)
The length of PQ is (Select)
so
8x + 5
R
Answers
Answer:
a
Step-by-step explanation:
The mean life of one make of keyboard is typically 6 years with a standard deviation of 1.3 years. If the manufacturer wishes to replace no more than 5 per cent of keyboards under guarantee, how long should the guarantee be, to the nearest month?
Answers
The make of one keyboard guarantee should be for about 58 months, or approximately 5 years.
We can use the normal distribution to model the lifetime of the keyboards. Let X be the random variable representing the lifetime of the keyboards, and let μ = 6 and σ = 1.3 be the mean and standard deviation, respectively.
To find the length of guarantee such that no more than 5% of the keyboards need to be replaced under guarantee, we need to find the value x such that P(X < x) = 0.05. We can standardize the variable by subtracting the mean and dividing by the standard deviation:
Z = (X - μ) / σ
Using the standard normal distribution table or a calculator with a normal distribution function, we find that the z-score corresponding to a cumulative probability of 0.05 is approximately -1.645.
Therefore,
-1.645 = (x - 6) / 1.3
Solving for x, we get:
x = -1.645 * 1.3 + 6 = 4.83
So the length of guarantee should be approximately 4.83 years. Converting this to months, we get:
4.83 years * 12 months/year ≈ 58 months
Therefore, the guarantee should be for about 58 months, or approximately 5 years.
To learn more about Keyboard here:
https://brainly.com/question/24921064#
#SPJ11
5.2 The Characteristic Polynomial: Problem 4 (1 point) For which value of k does the matrix A= 2 k
-3 -8
have one real eigenvalue of algebraic multiplicity 2? k=
Answers
The matrix A will have one real eigenvalue of algebraic multiplicity 2 when k = -7.
To find the value of k for which matrix A has one real eigenvalue of algebraic multiplicity 2, we'll need to find the characteristic polynomial and solve for k. Here are the steps:
1. Write down matrix A:
A = | 2 k |
|-3 -8 |
2. Find the characteristic polynomial by subtracting λ from the diagonal elements and finding the determinant of the resulting matrix:
| 2-λ k |
|-3 -8-λ |
3. Compute the determinant:
(2-λ)((-8)-λ) - (-3)(k) = λ^2 + 6λ + k + 16
4. The matrix A will have one real eigenvalue of algebraic multiplicity 2 if the characteristic polynomial has a double root. This occurs when the discriminant of the quadratic equation is equal to 0:
Δ = b^2 - 4ac = (6)^2 - 4(1)(k+16) = 0
5. Solve for k:
36 - 4(k+16) = 0
36 - 4k - 64 = 0
-4k = 28
k = -7
Learn more about eigenvalues: https://brainly.com/question/15586347
#SPJ11
If P = (-2,3), Find:
Rx=2 (P)
([?],
Answers
The reflectyed point Rx is given as 6 , 3
How to solve for the Reflected point RxThe distance would have to be solved for first
This is the distance between the point P and the vertical line x = 2.
The distance d = |(-2) - 2|
= |-4|
= 4
Next we have to take the point P o the other side of the line x = 2 this is the point that has the same distance
We will solve for the new coordinate
2 + 4
= 6
Hence the reflectyed point Rx is given as 6 , 3
Read more on refelected point here: https://brainly.com/question/26642069
#SPJ1
PLEASEE HELP MEEEEEE
Answers
The total surface area of the square pyramid is 585 in²
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
To get the surface area:
Area of base = 15 in * 15 in = 225 in²
Area of one triangle lateral face = (1/2) * 15 in * 12 in = 90 in²
Area of four triangle lateral face = 4 * 90 in² = 360 in²
Total surface area = 225 in² + 360 in² = 585 in²
The total surface area is 585 in²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not yellow) when choosing one marble from the bag.
8%
24%
40%
60%
Answers
Answer:
The correct is 60%
Step-by-step explanation:
The total number of marbles in the bag is:
2 + 4 + 10 + 9 = 25
The probability of selecting a yellow marble from the bag is:
P(yellow) = 10/25 = 2/5
Therefore, the probability of not selecting a yellow marble (i.e., selecting a red, green, or purple marble) is:
P(not yellow) = 1 - P(yellow) = 1 - 2/5 = 3/5 = 60%
Therefore, the answer is 60%.
You invest $200 every quarter for 20 years in an annuity that pays 5% interest compounded quarterly. What is the final value of the annuity?
Answers
The final value of the annuity after 20 years of quarterly payments at a 5% interest rate compounded quarterly is:
$29,238.49.
To calculate the final value of the annuity, we can use the formula:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where:
FV = Final value of the annuity
P = Quarterly payment ($200)
r = Annual interest rate (5%)
n = Number of compounding periods per year (4)
t = Number of years (20)
Plugging in the values, we get:
FV = 200 * ((1 + 0.05/4)^(4*20) - 1) / (0.05/4)
FV = $29,238.49
Therefore, the final value of the annuity after 20 years of quarterly payments at a 5% interest rate compounded quarterly is equal to $29,238.49.
To learn more about annuity visit : https://brainly.com/question/14908942
#SPJ11