Answer:
7x eighths minus 14
Rewrite this expression using the additive inverse property.
65 – 37
Answer:
37 + 42
Step-by-step explanation:
Like it and 5 stars ur welcome
as in example 2.38, assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it. (a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails? (b) after how many straight tails can we say that with 90% probability the coin i hold is biased? (c) after n straight tails, what is the probability that the next flip is also tails? (d) suppose we have flipped a very large number of times (think number of flips n tending to infinity), and each time gotten tails. what are the chances that the next flip again yields tails?
The probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
Bayes' theorem is a mathematical formula that helps us update our beliefs about the probability of an event occurring based on new information or evidence. It involves the prior probability, which is our initial belief about the probability of an event, and the likelihood of the evidence given that the event has occurred. By combining these two pieces of information, Bayes' theorem allows us to calculate the updated or posterior probability of the event occurring.
After one flip that results in tails, the probability that the coin is a biased coin can be found using Bayes' theorem:
P(biased coin | tails) = P(tails | biased coin) * P(biased coin) / P(tails)
P(tails | biased coin) = 3/5 (given)
P(biased coin) = 0.1 (given)
P(tails) = P(tails | fair coin) * P(fair coin) + P(tails | biased coin) * P(biased coin)
= 1/2 * 0.9 + 3/5 * 0.1
= 0.55
Therefore,
P(biased coin | tails) = (3/5 * 0.1) / 0.55
= 0.109 (approximately)
Thus, the probability that the coin is a biased coin after one flip that results in tails is about 10.9%.
To learn more about Bayes' theorem please click on below link
https://brainly.com/question/28096770
#SPJ4
Assume that 90% of the coins in circulation are fair, and the remaining 10% are biased coins that give tails with probability 3/5. i hold a randomly chosen coin and begin to flip it.
(a) after one flip that results in tails, what is the probability that the coin i hold is a biased coin? after two flips that both give tails? after n flips that all come out tails?
A Sea-doo rental agency charges $100 as a flat rate, and $50 for every hour rented. Complete a table of values for this scenario. Then, draw a graph of this scenario with appropriate labels.
Answer:
so if it was one hour it would be 100+50
2 hours= 100+100
3=100+ 150
and so on
Step-by-step explanation:
which level(s) of prevention is/are most likely to include intervention?
Intervention is most likely to be included in the secondary and tertiary levels of prevention.
In the context of public health and healthcare, prevention is typically categorized into three levels: primary, secondary, and tertiary.
The primary level of prevention focuses on preventing the onset of diseases or health conditions before they occur. This is achieved through measures such as promoting healthy lifestyles, providing vaccinations, and implementing public health education campaigns. Intervention is less common at this level, as the main goal is to prevent the occurrence of the health issue in the first place.
The secondary level of prevention involves early detection and intervention to prevent the progression of a disease or health condition. This may include screenings, diagnostic tests, and prompt treatment. Intervention plays a crucial role at this level, as the focus is on identifying and addressing health issues at an early stage to minimize their impact.
The tertiary level of prevention aims to minimize the impact of an existing disease or health condition and prevent complications or further deterioration. Intervention is also prominent at this level, as it involves providing medical treatments, rehabilitation services, and ongoing care to manage the condition and improve quality of life.
Learn more about intervention here:
https://brainly.com/question/28235244
#SPJ11
Helppp pleaseee & thank you!!!
Answer:
A
Step-by-step explanation:
Which is the graph of g(x)?
Which graph
Answer:
Option D.
Step-by-step explanation:
We are given with three function.
Plug in x=-2 in first functionf(x)= 3 so f(-2) = 3Plug in x=-2 in second function.
Graph the image of ΔLMN under a reflection across the x-axis
ANSWER
EXPLANATION
To reflect the triangle over the x-axis, the x-coordinates of the vertices remain the same, and the y-coordinates change to their opposites. Thus, to draw the image, we have to draw auxiliary vertical lines across each vertex of triangle LMN and graph the image of each vertex at the same distance from the x-axis on the opposite side,
Suppose a company wants to introduce a new machine that will produce a marginal annual savings in dollars given by S '(x)= 175 - x^2, where x is the number of years of operation of the machine, while producing marginal annual costs in dollars of C'(x) = x^2 +11x. a. To maximize its net savings, for how many years should the company use this new machine? b. What are the net savings during the first year of use of the machine? c. What are the net savings over the period determined in part a?
a) To maximize its net savings, the company should use the new machine for 7 years. b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar). c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).
Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.
To know more about maximizes visit:
https://brainly.com/question/30072001
#SPJ11
A bag contains 20 pink candies, 8 red candies, and 12
green candies. Without looking, Sarah pulls out a piece of
candy. Which color of candy is least likely to be pulled
out?
Answer:
The red marbles.
Step-by-step explanation:
It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.
At a football stadium, 2% of the fans in attendance were teenagers. If there were 240 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
12000
Step-by-step explanation:
240÷2=120
120=1%
120×100=12000
12000=100%
Answer: 12,000
Step-by-step explanation:
2% is = 240
1% is 240/2
100% is 240/2 × 100/1
Which of the following is a type of effectiveness MIS metric?
A. Transaction speed
B. System availability
C. Usability
D. Throughput
The type of effectiveness MIS (Management Information System) metric among the options provided is C. Usability.
Usability is a measure of how easy and intuitive a system or application is for users to interact with and navigate. It focuses on the user experience and assesses the efficiency, effectiveness, and satisfaction of users when utilizing the system. Usability metrics can include factors such as learnability, efficiency of use, error rates, and user satisfaction.
Transaction speed (option A), system availability (option B), and throughput (option D) are not specific to effectiveness metrics. Transaction speed and throughput are typically associated with efficiency metrics, measuring the speed and rate at which transactions or processes are completed. System availability pertains to reliability metrics, measuring the uptime and accessibility of the system for users.
To learn more about MIS metric visit: brainly.com/question/31220398
#SPJ11
Times taken to complete a task
A
Here is a histogram showing
the times taken to complete
a task.
40-
Estimate the percentage of 35-
people who took less than
30 seconds to complete
the task.
30-
25-
Give your answer to
L
1 decimal place.
20-
Frequency
Density 15-
10-
5-
0+
0 5 10 15 20 25 30 35 40 45 50
Time (seconds)
Answer:
70.8%
Step-by-step explanation:
T/F. he triple exponential smoothing method uses seasonality variations in the analysis of the data.
False. The triple exponential smoothing method does consider seasonality variations in the analysis of the data, along with trend and level components, to provide accurate forecasts.
The statement is false. Triple exponential smoothing, also known as Holt-Winters method, is a time series forecasting method that incorporates trend and seasonality variations in the analysis of the data, but it does not specifically use seasonality variations.
Triple exponential smoothing extends simple exponential smoothing and double exponential smoothing by introducing an additional component for seasonality. It is commonly used to forecast data that exhibits trend and seasonality patterns. The method takes into account the level, trend, and seasonality of the time series to make predictions.
The triple exponential smoothing method utilizes three smoothing equations to update the level, trend, and seasonality components of the time series. The level component represents the overall average value of the series, the trend component captures the systematic increase or decrease over time, and the seasonality component accounts for the repetitive patterns observed within each season.
By incorporating these three components, triple exponential smoothing can capture both the trend and seasonality variations in the data, making it suitable for forecasting time series that exhibit both long-term trends and repetitive seasonal patterns.
Learn more about variations at: brainly.com/question/17287798
#SPJ11
Use the graph to write the factorization of x2 + 2x - 8.10y5--10- 5510-5+y = x2 + 2x - 8-10-A. (x + 4)(x-2)B. (x-4)(x+2)C. (x+6)(x-4)D. (x-8)(x + 1)
The answer is letter A. (x + 4)(x - 2)
The answers are the black circles, just we need to change the signs as i did.
Answer:
A
Step-by-step explanation:
Solve each equation by completing the square. Write the answers as equations.
4. x2-2x-48=0 5. r2+8r+12=0
Answer:
the answer is
x-2=48
r-8= -12
the probability that two cards are selected at random from a deck of cards containing a face card and diamond without replacement
Answer:
6/2652 could possibly be the answer?
it really depends on the amount
Step-by-step explanation:
QUESTION ONE [25]Brozierz Ltd, operate in the engineering industry. They feel that some of their older equipment need to be replaced. They seek your help to calculate their cost of capital.Their present capital structure is as follows:• 300 000 R2 ordinary shares now trading at R2,40 per share.• 100 000 preference shares trading at R2,50 per share (issued at R3 per share). 10 % p.a. fixed rate of interest.• A bank loan of R 500 000 at 12 % p.a. (payable in 5 years’ time).Additional information:a. The company’s beta is 1,4. A return on market of 15% and a risk free rate of 6%.b. Its current tax rate is 28%.c. Its current dividend is 50c per share and they expect their dividends to grow by 7% p.a.Required:1.1 Assuming that the company uses the Capital Asset Pricing Model (CAPM) to calculate their cost of equity, calculate their weighted average cost of capital.
The weighted average cost of capital WACC = (0.375 x 0.165) + (0.125 x 0.12) + (0.5 x 0.12) x (1 - 0.28)
= 0.120 or 12.0%
To calculate the cost of capital for Brozierz Ltd, we need to calculate the cost of each component of their capital structure and weight them according to their proportion in the overall capital structure.
First, let's calculate the cost of equity using the Capital Asset Pricing Model (CAPM):
Cost of equity = risk-free rate + beta x (return on market - risk-free rate)
= 0.06 + 1.4 x (0.15 - 0.06)
= 0.165 or 16.5%
Next, let's calculate the cost of preference shares:
Cost of preference shares = (fixed dividend rate / market price of preference shares) + flotation costs
= (0.1 x 3 / 2.5) + 0
= 0.12 or 12%
The cost of debt is simply the interest rate on the bank loan, which is 12% per annum.
Now, we can calculate the weighted average cost of capital (WACC) using the formula:
WACC = (proportion of equity x cost of equity) + (proportion of preference shares x cost of preference shares) + (proportion of debt x cost of debt) x (1 - tax rate)
Let's calculate the proportion of each component:
Proportion of equity = 300,000 x 2.40 / (300,000 x 2.40 + 100,000 x 2.50 + 500,000) = 0.375
Proportion of preference shares = 100,000 x 2.50 / (300,000 x 2.40 + 100,000 x 2.50 + 500,000) = 0.125
Proportion of debt = 500,000 / (300,000 x 2.40 + 100,000 x 2.50 + 500,000) = 0.5
Therefore, the WACC is:
WACC = (0.375 x 0.165) + (0.125 x 0.12) + (0.5 x 0.12) x (1 - 0.28)
= 0.120 or 12.0%
To know more about WACC, refer here:
https://brainly.com/question/30893557#
#SPJ11
Find the value of x.
Answer:
x=11
Step-by-step explanation:
The sum of the angles of a triangle is 180
We know the angle with a box is 90
90 + 5x-2 + 3x+4 = 180
Combine like terms
8x +92 = 180
Subtract 92 from each side
8x+92-92 = 180-29
8x = 88
Divide each side by 8
8x/8 = 88/8
x = 11
Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really need it..no links please..
Question 1
Solve.
−3 2/3=x−1 1/4
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
Question 2
Solve.
x − (−2 5/6)= −1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
Question 3
Solve.
−3 2/3x=−2 1/5
What is the solution to the equation?
Enter your answer as a simplified fraction in the box.
Question 4
Solve for m.
−3/7m=12
m=−28
m=−26
m = 26
m = 28
Question 5
Solve for b.
−1/3b=9
b=−27
b=−3
b = 3
b =27
Answer:
1 = −3 2/3 = − 1 1 / 4
2 = − (−2 5/6) = −1/5
3 = −3 2/3 = −2 1/5
4 = -28
5 = -27
You're welcome.
Answer:
1 = −3 2/3 = − 1 1 / 4
2 = − (−2 5/6) = −1/5
3 = −3 2/3 = −2 1/5
4 = -28
5 = -27
Step-by-step explanation:
If a figure is a square, its diagonals divide it into isosceles triangles.
p: A figure is a square.
q: A figure's diagonals divide into isosceles triangles.
Which represents the converse of this statement? Is the converse true?
The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:
"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."
The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.
Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.
In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.
for similar questions on triangles.
https://brainly.com/question/1058720
#SPJ8
hiii please help i’ll give brainliest if you give a correct answer tysm!
Answer:
the ratio is 4:1 so the answer is 1.25
Answer:
1.25
Step-by-step explanation:
the rule is x/4=y
5/4=1.25
converting 30 pounds to ounces?
Answer:
30 pounds is equal to 480 ounces
Step-by-step explanation:
Answer:
480
that's the answer
Step-by-step explanation:
your welcome
Triangles continue to be drawn according to the spiraling pattern shown below. What is the hypotenuse of the 4th triangle? What about the 100th? Can you come up with a rule for the length of the hypotenuse of the nth triangle? 1. 1 1 Х 2 2
The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)
The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)
The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)
Given, that Triangles be drawn according to the spiraling pattern
let hypotenuse of 1st triangle be \(h_{1}\), hypotenuse of 2nd triangle be \(h_{2}\) and so on.
as, we know Pythagoras theorem i.e.
\(hypotenuse^{2} = base^{2} + perpendicular^{2}\)
In 1st triangle,
base = 2 units and perpendicular = 1 unit
On applying Pythagoras theorem in 1st triangle, we get
\(h_{1}^{2}=2^2 +1^2\)
\(h_{1}^2=5\\ h_{1} = \sqrt{5}\) ... (1)
Now, hypotenuse of 1st triangle will be the base of 2nd triangle
so, In 2nd triangle,
base = \(\sqrt{5}\) units and perpendicular = 1 unit
On applying Pythagoras theorem in 2nd triangle, we get
\(h_{2}^2 = \sqrt{5}^2 + 1^2\)
\(h_{2}^2=5+1\\h_{2}^2=6\\ \\h_{2}=\sqrt{6} \\\)... (2)
Now, observing Eq (1) and Eq (2) we can define a rule to find the hypotenuse of nth triangle i.e.
\(h_{n}=\sqrt{4+n}\)
So, the hypotenuse of the 4th triangle be
\(h_{4}=\sqrt{4+4}\\ h_{4}=\sqrt{8}\\ h_{4}=2\sqrt{2}\)
Also, the hypotenuse of the 100th triangle be
\(h_{100}=\sqrt{100+4}\\ h_{100}=\sqrt{104}\\ h_{100}=2\sqrt{26}\)
The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)
The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)
The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)
Learn more about Pythagoras Theorem here https://brainly.com/question/343682
#SPJ9
Find the length of a. The length of the of the unknown leg is?
Answer:
10
Step-by-step explanation:
Pythagorean theorem
c² = a² + b²
26² = a² + 24²
a² = 26² - 24² = 100
a = √(100) = 10
The length of unknown leg will be a = 10 units
ConceptThe right angle triangle is given and the length of one side and length of hypotenuse are givenWe have to find the length of second sideSince the triangle given is right angle triangle we will use pythagorean theorem to find the length of third side.How to solve this problem?The steps are as follow:
The length of first side is 24 units and length of hypotenuse is 26 units and the second side is unknown which is taken as 'a' According to pythagorean theorem:(hypotenuse)^2 = (Side)^2 + (Side)^2
(26)^2 = (24)^2 + (a)^2
676 = 576 + (a)^2
(a)^2 = 676 - 576
(a)^2 = 100
a = 10 units
So the length of unknown leg will be a = 10 units
Learn more about pythagorean theorem here:
https://brainly.com/question/654982
#SPJ2
Which expression is equivalent to (-4x²)³?
-12x6
-12x5
-64x6
-64x5
Answer:
-64x^6
Step-by-step explanation:
∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.
Answer:
m∠B=52
∘
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}
Toby’s Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys.
Toby’s has a variable expense of $12.50 a piece for each toy they produce, and they
sell their toys for $16.50 a piece. How many tiny toys do they have to sell to reach
their breakeven point?
The number of tiny toys that Toby's Tiny Toys need to sell to reach its break-even point is 13,475.
What is the break-even point?The break-even point is the production and sales units that will ensure that Toby's Tiny Toys does not incur a loss or generate a profit.
At the break-even point, the total revenues are equal to the total costs (fixed and variable).
Selling price per unit = $16.50
Variable expenses per unit = $12.50
Contribution margin per unit = $4 ($16.50 - $12.50)
Fixed expenses = $53,900
Break-even point in units = Fixed costs/Contribution margin per unit
= 13,475 ($53,900/$4)
Thus, we can conclude that Toby’s Tiny Toys needs to sell 13,475 to break even.
Learn more about the break-even point at brainly.com/question/15281855
#SPJ1
The number of Toby's tiny toys is 13,475 which needs to sell to reach its break-even point.
The overall revenues and entire costs are equal at the break-even point (fixed and variable).
The production and sales units that will verify that Toby's Tiny Toys does not suffer a loss or make a profit are the break-even point.
$16.50 is the selling price per unit.
Variable costs amount to $12.50 per unit.
The contribution margin = $16.50 - $12.50 = $4 per unit equals
Fixed costs is $53,900.
Break-even point = Fixed costs / Contribution margin
Break-even point = $53,900/$4
Apply division operation to get
Break-even point = 13,475
Thus, the number of Toby's tiny toys is 13,475 which needs to sell to reach its break-even point.
To learn more about the break-even point here:
https://brainly.com/question/13680956
#SPJ1
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 6
Spade 4
Club 7
Diamond 3
Determine the experimental probability of drawing a diamond.
6(-5x - 16) = 30y + 84
Why should the data be partitioned into training and validation sets? What will the training set be used for? What will the validation set be used for? Select all correct statement(s)
a. The training data set is used to build the model, and the validation data is used to test the prediction accuracy of the model.
b. In this process, the model (built using the training data set) is used to make predictions with the validation data - data that were not used to fit the model. In this way we get an unbiased estimate of how well the model performs.
c. The data should be partitioned into training and validation sets because we need two sets of data: one to build the model that depicts the relationship between the predictor variables and the predicted variable, and another to validate the model's predictive accuracy.
d. The training data set is used to test the prediction accuracy of the model, and the validation data is used to build the mod
The correct statements are a and b. Statement d is incorrect as the training data set is used to build the model, not to test its prediction accuracy.
The data should be partitioned into training and validation sets because we need two sets of data: one to build the model that depicts the relationship between the predictor variable(s) and the predicted variable, and another to validate the model's predictive accuracy. The training data set is used to build the model, and the validation data set is used to test the prediction accuracy of the model. In this process, the model (built using the training data set) is used to make predictions with the validation data - data that were not used to fit the model. In this way, we get an unbiased estimate of how well the model performs. Therefore, the correct statements are a and b. Statement d is incorrect as the training data set is used to build the model, not to test its prediction accuracy.
Your answer: a and b are the correct statements.
a. The training data set is used to build the model, and the validation data is used to test the prediction accuracy of the model.
b. In this process, the model (built using the training data set) is used to make predictions with the validation data - data that were not used to fit the model. In this way, we get an unbiased estimate of how well the model performs.
c. The data should be partitioned into training and validation sets because we need two sets of data: one to build the model that depicts the relationship between the predictor variables and the predicted variable, and another to validate the model's predictive accuracy.
Learn more about model here:
https://brainly.com/question/29810500
#SPJ1