Answer:
first one is simnple cross multiply and divide
12*7=4x
84=4x
x=21
2nd same process but more steps
7x=5(x+8)
7x=5x+40
7x-5x=40
2x=40
x=20
Step-by-step explanation:
What is the formula of obtuse angle triangle?.
The Formula of Area of Obtuse Triangle is equal to ½ × b× h .
and by using Heron's formula,
A = √(S(S-a)(S-b)(S-c)) ; S = (a+b+c)/2
A closed two-dimensional figure with three sides of equal or unequal length and three corners of equal or unequal angles is called a triangle.
Obtuse triangle: A type of triangle with the following properties:
One of the angles of the triangle is greater than the other two angles (>90 degrees). One of the angles is obtuse, this triangle is known as obtuse triangleThe sum of interior angles of a triangle is always 180 degrees. Therefore, the other two angles of an obtuse triangle are acute.The sum of the squares of the shortest sides of an obtuse triangle is equal to the square of the largest side of the triangle.Area formula of obtuse triangle :
Area of obtuse triangle = ½ × b × h
where b --> base of triangle
h ---> height of triangle.
The area of a triangle can also be found using Heron's formula.
A = √(S(S-a)(S-b)(S-c)),
where s is half the perimeter of the triangle and a, b, c are the three sides of the triangle.
the perimeter of the triangle = a + b + c cm then
S = (a + b + c)/2
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The sum of the squares of two numbers is 32. the product of the two numbers is 16. find the numbers.
Answer:
4
Step-by-step explanation:
The answer really just popped into my head.
4^2 + 4^2 = 32
4x4=16
Derrimon Trading Limited is a company which was established in 1998 that primarily earns revenues from the distribution and retail of bulk goods and the manufacturing, wholesale, retail and distribution of goods. The company is in expansion mode and has recently come to the public to raise additional funds, it is listed on the Jamaica Stock Exchange. By extension, one assumes that it would have had to make some changes in how it operates while catering to
the needs of the various stakeholders, more so its shareholders subsequent to this listing.
Required: A. Taking the above into consideration, discuss THREE consequences of this company
being a listed company on the Jamaica Stock Exchange.
B. Outline FIVE reasons that could have motivated Derrimon Trading Company to list on
the exchange.
Being a listed company on the Jamaica Stock Exchange has three consequences for Derrimon Trading Limited. Firstly, it provides access to additional capital for expansion and growth. Secondly, it increases transparency and accountability to shareholders and the general public. Lastly, it enhances the company's reputation and credibility in the market.
A. Consequences of Derrimon Trading Limited being a listed company on the Jamaica Stock Exchange:
Increased Public Visibility: By being listed on the Jamaica Stock Exchange, Derrimon Trading Limited gains increased public visibility and recognition. The company's activities, financial performance, and corporate governance practices are subject to public scrutiny, which can enhance its reputation and brand image among potential customers, suppliers, and partners.Access to Capital: One significant consequence of being a listed company is the ability to raise capital by issuing additional shares to the public. Derrimon Trading Limited can utilize the stock market to raise funds for its expansion plans, acquisitions, research and development, and other capital-intensive projects. This access to capital allows the company to pursue growth opportunities that may not have been feasible otherwise.Shareholder Expectations and Governance Obligations: As a listed company, Derrimon Trading Limited has a fiduciary duty towards its shareholders. It must ensure transparent reporting, compliance with regulatory requirements, and effective corporate governance practices. Shareholders expect timely and accurate financial information, dividend payments, and a strong return on their investments. The company needs to establish proper communication channels to address investor inquiries, concerns, and expectations.B. Reasons that could have motivated Derrimon Trading Company to list on the exchange:
Capital Expansion: Derrimon Trading Limited may have listed on the Jamaica Stock Exchange to raise additional capital for its expansion plans. Listing provides access to a broader investor base, allowing the company to attract more capital from institutional investors, retail investors, and other market participants.Acquisition and Growth Strategy: Listing on the stock exchange can facilitate Derrimon Trading's strategy of acquiring other companies and expanding its operations. The funds raised through the listing can be utilized for mergers and acquisitions, enabling the company to consolidate its market position and achieve economies of scale.Enhanced Liquidity: Listing on the exchange provides shareholders and investors with a platform to easily buy and sell the company's shares. This increased liquidity can attract more investors, improve the company's stock price stability, and potentially increase its market value.Improved Corporate Governance: Being a listed company imposes certain regulatory requirements and corporate governance standards. Derrimon Trading Limited may have chosen to list to enhance its corporate governance practices, which can improve transparency, accountability, and investor confidence in the company.Brand Visibility and Reputation: Listing on a reputable stock exchange like the Jamaica Stock Exchange can enhance Derrimon Trading's brand visibility and reputation. It signals to the market that the company has met the exchange's listing requirements and adheres to certain standards, which can attract more customers, suppliers, and business partners.It's important to note that these are hypothetical reasons and the actual motivations for Derrimon Trading Limited's listing may vary based on their specific circumstances and strategic objectives.
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In how many ways can 6 policemen be assigned to 12 coaches of a passenger train if he must ride in a different coach
Answer:
665280
Step-by-step explanation:
12x11x10x9x8x7=665280
There are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
What is Probability?Probability is defined as the branch of mathematics that deals with the numerical description of how likely an event is to occur, or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, roughly where 0 indicates the improbability of the event and 1 indicates certainty.
It is based on the probable probability of something happening while the theoretical probability is based on the logic behind the probability. For example, if a coin is tossed, the theoretical probability of getting a head is ½.
In above example,
There are 6 policemen
Number of coaches assigned are 12
So, the number of ways are 12x11x10x9x8x7=665280 ways
Thus, there are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
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A train covers 165 km in 1.5 hours. How far will the train travel in 2.2 hours if it maintains the same speed?
Answer:
242
Step-by-step explanation:
165 ÷ 15 = 110
110 × 2.2 = 242
The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
A train covers 165 km in 1.5 hours.
The ratio of distance covered to the number of hours is 165/1.5.
Let's say in 2.2-hour train travel x number of km.
The ratio of distance covered to the number of hours x/2.2
Both ratios must be the same,
x/2.2 = 165/1.5
x = 110 x 2.2 = 242 km
Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".
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Which scatterplot shows the weakest negative linear correlation?
On a graph, points are grouped closely together and increase.
On a graph, points are grouped closely together in a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together in a line and decrease.
The scatterplot shows the weakest negative linear correlation is On a graph points are grouped closely together and increase. Option A.
The scatterplot showing the weakest negative linear correlation is the following scatterplot. The dots are scattered along the decreasing trend line. The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that an increase in one variable tends to increase the other variable.
A negative correlation means that as one variable increases the other tends to decrease. Plotted points indicate correlations between variables if any. The scatterplot above is an example of a weak negative correlation. In this graph, y values decrease as x values increase, but the pattern does not resemble a straight line.
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A soccer field is 180 feet wide and 240 feet long. Coach Smith wants them to run from one corner to the other corner diagonally across. What is the distance that Coach Smith wants them to run? (Round to the nearest foot)
Answer:
300ft
Step-by-step explanation:
Pythagorean Theorem
180²+240²=c²
32400+57600=c²
90,000=c²
√90,000=c
300=c
5 times the difference of a number and 7
Answer:
5(n-7)
Step-by-step explanation:
18/24 greater than or less than 55%
Answer:
I think 55°% is less
a graphical tool used to help determine whether a process is in control or out of control is a
A graphical tool used to help determine whether a process is in control or out of control is known as a Control Chart.
Control charts are essential in quality control and statistical process control (SPC). They allow you to monitor process performance and variability over time, enabling you to identify trends, shifts, or deviations from the established process baseline.
Control charts typically consist of a centerline, representing the process mean, and upper and lower control limits, which indicate the acceptable range of variation. Data points are plotted on the chart, and if they fall within the control limits, the process is considered to be in control. If data points fall outside the control limits or display non-random patterns, the process is considered out of control, signaling potential issues that need to be investigated and addressed.
In summary, control charts are a valuable graphical tool that assists in determining the stability of a process, facilitating continuous improvement efforts and ensuring product quality. They provide a visual representation of process variation and help identify when corrective actions are needed to bring a process back into control.
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For a fundraiser, Andrew organized a bake sale. On Monday, he sold 6 pies and 11 cakes. On Tuesday, he sold 8 pies and 7 cakes. If Andrew charged $8.25 per pie and $11.50 per cake, how much money did he raise over the two days? $
Total money he raised over the two days is $322.5.
Given in question,
No. of pies he sold on Monday = 6
No. of cakes he sold on Monday = 11
No. of pies he sold on Tuesday = 8
No. of cakes he sold on Tuesday = 7
Price of one pie = $8.25
Price of one cake = $11.50
Total pies he sold on both days = 6 + 8
= 14
Total money is earned with pies = 14*8.25
= 115.5
Total cakes he sold on both days = 11 + 7
= 18
Total money he earned with cakes = 18*11.50
= 207
Total money he raised = 115.5 + 207
= 322.5
Hence, total money he raised is $322.5.
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A chart that describes a company's formal structure is called a:
a. Organizational chart
b. Flowchart
c. Gantt chart
d. Pie chart
A chart that describes a company's formal structure is called an Organizational chart.
An organizational chart is a visual representation of an organization's structure. It illustrates how individual employees, teams, and tasks fit into the broader framework. It is also known as an organization chart or org chart. This type of chart depicts reporting relationships, responsibilities, and roles within an organization in a hierarchical arrangement.
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(2, 1) and (3,-10)
Slope =
Answer:
slope = - 11
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 1 ) and (x₂, y₂ ) = (3, - 10 )
m = \(\frac{-10-1}{3-2}\) = \(\frac{-11}{1}\) = - 11
The most reasonable estimate 26% of 88
Answer:
22.88 or 23
Step-by-step explanation:
2.6 * 8.8 = 22.88, rounded is 23
I hope this helped, please mark Brainliest, thank you!
Answer:
One-fourth(90)
Step-by-step explanation:
One-fourth is closer to 26% and 88 is closer to 90.
Hope this helped
what is the probability of rolling a 1 and then rolling an even number with one 6 sided die
Answer:
5/6(83.33%) I think this should be the probability of it.
Which graph represents the compound inequality?
Step-by-step explanation:
The graph of-5 to positive 2.
TRUE OR FALSE?
1. The Populist movement offered a critique of and challenge to industrialization, capitalism, and laissez-faire orthodoxies.
Divide. Give the quotient and remainder.
4391/53
Answer:
82 R?
Step-by-step explanation:
Use the drop-down menus to complete the statements below based on the number line diagram.
Help Please ill mark brainliest!!!!!!!!!!!!!!!!
Answer:
i cant see the picture its just a black screen i would love to help
Answer:
1st is > 2nd is< and 3rd id <
Step-by-step explanation:
What fraction of the class has the number of pets that occurs most often? Express your answer as a percent, too. *
Answer:
i dont think you have included all the info of the question so if you do that i might be able to help you :)
Step-by-step explanation:
Can you provide the solution for this exercise?
Let u(w) = −(b − w)c. What restrictions on w, b, and c are required to ensure that u(w) is strictly increasing and strictly concave? Show that under those restrictions, u(w) displays increasing absolute risk aversion.
under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.
To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.
To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.
Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.
In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.
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The probability density function of the length of a cutting blade is f(x) = 1.25 for 74.6 < x < 75.4 millimeters. Determine the following: (a) P(X < 74.8) (b) P(X < 74.8 or X > 75.2) (c) If the specifications of this process are from 74.7 to 75.3 millimeters, what proportion of blades meets specifications?
First, let me explain a few terms. Density refers to the amount of something in a given space, while function refers to a relationship between two or more variables. In this case, the probability density function is a function that describes the likelihood of a cutting blade having a certain length. Blades, of course, refer to the objects being measured.
Now, let's move on to the questions.
(a) P(X < 74.8) means the probability that a blade's length is less than 74.8 millimeters. To find this probability, we need to integrate the probability density function from 74.6 to 74.8:
P(X < 74.8) = ∫f(x)dx from 74.6 to 74.8
= ∫1.25dx from 74.6 to 74.8
= 1.25(74.8 - 74.6)
= 0.25
Therefore, the probability of a blade's length being less than 74.8 millimeters is 0.25.
(b) P(X < 74.8 or X > 75.2) means the probability that a blade's length is either less than 74.8 millimeters or greater than 75.2 millimeters. To find this probability, we need to add up the probabilities of these two events:
P(X < 74.8 or X > 75.2) = P(X < 74.8) + P(X > 75.2)
= 0.25 + ∫f(x)dx from 75.2 to 75.4
= 0.25 + 1.25(75.4 - 75.2)
= 0.5
Therefore, the probability of a blade's length being either less than 74.8 millimeters or greater than 75.2 millimeters is 0.5.
(c) If the specifications of this process are from 74.7 to 75.3 millimeters, we need to find the proportion of blades that meet these specifications. This is equivalent to finding the probability that a blade's length is between 74.7 and 75.3 millimeters. To find this probability, we need to integrate the probability density function from 74.7 to 75.3:
Proportion of blades meeting specifications = ∫f(x)dx from 74.7 to 75.3
= 1.25(75.3 - 74.7)
= 0.75
Therefore, the proportion of blades that meet specifications is 0.75, or 75%.
(a) To find P(X < 74.8), we need to calculate the area under the probability density function (PDF) from 74.6 to 74.8 millimeters. Since f(x) = 1.25 is a constant, we can find the area by multiplying the length of the interval by the constant value of the function:
P(X < 74.8) = 1.25 * (74.8 - 74.6) = 1.25 * 0.2 = 0.25
(b) To find P(X < 74.8 or X > 75.2), we need to calculate the area under the PDF from 74.6 to 74.8 and from 75.2 to 75.4 millimeters. The total probability is the sum of the probabilities for each interval:
P(X < 74.8 or X > 75.2) = 1.25 * (74.8 - 74.6) + 1.25 * (75.4 - 75.2) = 1.25 * 0.2 + 1.25 * 0.2 = 0.25 + 0.25 = 0.5
(c) If the specifications are from 74.7 to 75.3 millimeters, we need to calculate the area under the PDF from 74.7 to 75.3 millimeters:
Proportion of blades meeting specifications = 1.25 * (75.3 - 74.7) = 1.25 * 0.6 = 0.75
So, 75% of the blades meet the specifications.
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3
There are 1400 students in a school. 49.5% of them are male. How many are female?
Answer: 693 students are female
Step-by-step explanation: Calculating fourty-nine point five of one thousand, four hundred. How to calculate 49.5% of 1400? Simply divide the percent by 100 and multiply by the number. For example, 49.5 /100 x 1400 = 693 or 0.495 x 1400 = 693.
Answer:
707 females
Step-by-step explanation:
1400 x 0.495 = 693
Then,
1400 - 693 = 707
707 are girls.
I need help on this ASAP
Answer:
B and D
Step-by-step explanation:
Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.
Answer:
the 2nd and 4th one
Step-by-step explanation:
4( c - 3 ) = 8
you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8
or you can divide both sides by 4 which will get you c - 3 = 2
4(c-3)/4 = c - 3
8/4 = 2
c - 3 = 2
What is the graph if the function rule y = x+2 ?
Answer: This is the graph
In the given figure, ABCD is a parallelogram
and AD = 18 cm. The area of AABE is 5/6
that of ABCD.
(a) Find the length
of DE
(b) If the area
of ABCD is
450 cm?, find
the height
from B to AD.
Answer:
B
Step-by-step explanation:
Find the slope of the given point.
(19,3) (20,8)
Answer:
5
Step-by-step explanation:
as x goes up one y goes up 5
slope is change in y over changes in x
5/1=5
Please help for section d) 100 points, must show all working and step by step
Answer:
Step-by-step explanation:
(a) and (b) see diagram
(c) you can see from the graph, the purple line hits the parabola twice which is y=6 or k=6
(d) Solving simultaneously can mean to set equal
6x - x² = k >subtract k from both sides
6x - x² - k = 0 >put in standard form
- x² + 6x - k = 0 >divide both sides by a -1
x² - 6x + k = 0
(e) The new equation is the same as the original equation just flipped (see image)
(f) The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal. I chose new)
discriminant formula = b² - 4ac
equation: x² - 6x + 6 = 0 a = 1 b=-6 c = 6
discriminant = b² - 4ac
discriminant= (-6)² - 4(1)(6)
discriminant = 36-24
discriminant = 12
Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.
1 PROBLEM *BRAINLIEST* FOR CORRECT ANSWER
this is graphing quadratic equations. use an x/y chart to graph with 5+ points on it.
problem: y = x^2 + 4x + 6
there's an image with the problem as well as the graph if that helps you. i know how to graph, i really just need those five points (if yk what you're doing, this should make sense)
THANK YOU!!!!
To graph y = x² + 4x + 6 with 5+ points using an x/y chart, follow these steps:
Step 1: Create an x/y chart with five rows and two columns. Label the first column x and the second column y.
Step 2: Choose five values for x. You can choose any values you want as long as you plug them into the equation in the next step. In this example, we will use -3, -2, -1, 0, and 1. Write these values in the first column of your chart.
Step 3: Plug each value of x into the equation y = x² + 4x + 6 to find the corresponding value of y. Write these values in the second column of your chart. To make it simpler, here are the calculations for each point:When x = -3: y = (-3)² + 4(-3) + 6 = 3When x = -2: y = (-2)² + 4(-2) + 6 = 2When x = -1: y = (-1)² + 4(-1) + 6 = 1When x = 0: y = (0)² + 4(0) + 6 = 6When x = 1: y = (1)² + 4(1) + 6 = 11
Step 4: Plot each point on the x/y chart. The x value goes on the horizontal axis (x-axis) and the y value goes on the vertical axis (y-axis). Once you have plotted all five points, connect them with a smooth curve to create the graph of y = x² + 4x + 6. The graph is shown in the figure below.
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Express 0.2 underline as a fraction in simplest from.