Answer:
See below
Step-by-step explanation:
A binomial distribution has the value of x representing the number of successes in n trials, while a geometric distribution has the value of x representing the first trial that results in a success.
What’s x?
Answer:
I pretty sure it is F.1cm
GENERAL INSTRUCTIONS: ENTER YOUR ANSWER WITHOUT THE $ SIGN AND COMMA, BUT FORMATTED IN DOLLARS ROUNDED TO THE NEAREST DOLLAR, for instance if you compute $777,342,286.6478 then ENTER 777342287 AS YOUR ANSWER. DO NOT ROUND IN YOUR CALCULATION STEPS (use calculator memory functions) TO AVOID ROUNDING ERRORS. There is a little bit of tolerance built into accepting/rejecting your answer, but if you round in your intermediate calculations you may be too far off.
Nuevo Company has decided to construct a bridge, to be used by motorists traveling between two cities located on opposite sides of the nearby river. The management is still uncertain about the most appropriate bridge design. The most recently proposed bridge design is expected to result in the following costs. The construction cost (first cost) is $9,000,000. Annual operating cost is projected at $700,000. Due to the very long expected life of the bridge, it is deemed best to assume an infinite life of the bridge, with no salvage value. Compute the combined present worth of the costs associated with the proposal, assuming MARR of 12%. Note: do not include negative sign with your answer
The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.
To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.
The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.
For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.
To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,
where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.
Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.
Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.
However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.
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Subcutaneous interleukin-2 in combination with medroxyprogesterone acetate and antioxidants in advanced cancer responders to previous chemotherapy: phase II study evaluating clinical, quality of life, and laboratory parameters
In this phase II study, researchers evaluated the effects of subcutaneous interleukin-2 (IL-2) in combination with medroxyprogesterone acetate (MPA) and antioxidants in advanced cancer patients who had responded to previous chemotherapy. The study aimed to assess the clinical outcomes, quality of life, and laboratory parameters in these patients.
To conduct the study, the researchers recruited advanced cancer patients who had previously shown a positive response to chemotherapy. These patients were administered subcutaneous IL-2, MPA, and antioxidants as part of the treatment.
The researchers then monitored various parameters to evaluate the effects of the treatment. Clinical outcomes, such as tumor response and overall survival, were assessed to determine the effectiveness of the treatment in controlling cancer progression. Quality of life measurements were used to evaluate the impact of the treatment on patients' well-being and daily functioning. Additionally, laboratory parameters were measured to assess any changes in patients' blood count, liver function, and kidney function.
By analyzing the data obtained from the study, the researchers aimed to determine the efficacy and safety of the combination treatment in advanced cancer patients who had previously responded to chemotherapy. The findings of this phase II study can contribute to our understanding of potential treatment options for this specific patient population.
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A rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by cutting out identical squares from the four corners and turning up the sides. Find the volume of the largest rectangular box that can be formed.
The maximum volume that we can obtain is approximately 108 cubic cm.
We are given a rectangular piece of cardboard with length 24 cm and width 9 cm. We want to create a rectangular box by cutting out identical squares from each corner and folding up the sides. Let's call the length of each side of the square that we cut out "x".
When we fold up the sides of the cardboard, we get a box with length L, width W, and height H. The length is equal to 24 - 2x (we cut out two squares, each with length x, from the original length of 24). The width is equal to 9 - 2x (since we cut out two squares, each with width x, from the original width of 9). The height is just x (since we folded up the sides by x units).
To find the volume of the box, we multiply the length, width, and height:
V = LWH = (24 - 2x)(9 - 2x)x
Our goal is to maximize the volume, subject to the constraint that we have a fixed amount of cardboard (i.e., the area of the cardboard must be constant). The area of the cardboard is:
A = LW = (24 - 2x)(9 - 2x)
We know that the area must be equal to 24*9 = 216 (the original area of the cardboard before we cut out the squares).
So, we need to find the value of x that maximizes V, subject to the constraint that A = 216. This is an optimization problem.
We can start by solving the constraint for one variable. Let's solve for L in terms of W:
A = LW
216 = (24 - 2x)(9 - 2x)
216 = 216 - 54x + 4x^2
0 = 4x^2 - 54x
0 = 2x(2x - 27)
x = 0 or x = 13.5
We can immediately discard the solution x = 0 (which would mean not cutting out any squares) since it clearly doesn't result in a box. So, we only need to consider x = 13.5.
Substituting this value into our formula for V, we get:
V = (24 - 2(13.5))(9 - 2(13.5))(13.5)
V ≈ 108
Therefore, the maximum volume that we can obtain is approximately 108 cubic cm.
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What is the value of x? Enter your answer in the box. x =
Check the picture below.
Where are the minimum and maximum values for f(x)=12cos2x−1 on the interval [0,2π]?
On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.
To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.
First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).
Next, we set f'(x) equal to zero and solve for x:
-24cos(x)sin(x) = 0
This equation is satisfied when cos(x) = 0 or sin(x) = 0.
For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.
For sin(x) = 0, we have x = 0 and x = π as critical points.
Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:
f(0) = 12cos^2(0) - 1 = 11
f(π/2) = 12cos^2(π/2) - 1 = -1
f(π) = 12cos^2(π) - 1 = 11
f(3π/2) = 12cos^2(3π/2) - 1 = -1
f(2π) = 12cos^2(2π) - 1 = 11
From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.
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when identifying the rate lf change using a graph check ___ over __
Answer: rise over run
======================================================
Explanation:
The rate of change is the same as slope. Slope is often defined as the ratio of rise over run.
In other words, slope = rise/run.
For instance, a slope of 2/3 means we go up 2 and to the right 3 units.
Another example: slope = -1/5 means we go down 1 and to the right 5.
The term "rise" indicates a change in y. The run is the change in x. If the rise is positive, then you go up. Negative rise values mean that you go down. The run always moves to the right.
Find the measure of arc AC
Answer:
first use 360 minis 62
Step-by-step explanation:
than find b to c than the remaining should be the anser letw know if whorng so i can help
A circle has centre (-3,-4) and a point P(5,2) on its circumference. Determine the equation of the circle expressed in the form x²+y²+ax+by+c=0
The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.
Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.
Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point
P = radius of the circle.
We get
r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10
Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle
(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0
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(this is 12 year old math) Good evening everyone
Answer:
22 11
Step-by-step explanation:
its a pattern if you look at the trend on the equation
How do drivers react to sudden large increases in the price of gasoline? To help answer the question, a statistician recorded the speed of cars as they passed a large service station. He recorded the speeds (mph) in the same location after the service station showed that the price of gasoline had risen by 15 cents. Can we conclude that the speeds differ?
Based on the information provided, we cannot conclusively determine how drivers react to sudden large increases in the price of gasoline. However, we can use the recorded speeds of cars passing the service station before and after the price increase to determine if there is a statistically significant difference in speeds.
A hypothesis test can be conducted to determine if there is a significant difference in means between the two groups. If the p-value is less than the significance level, we can conclude that the speeds differ and suggest that the price increase had an impact on driver behavior. However, if the p-value is greater than the significance level, we cannot conclude that there is a significant difference in speeds and suggest that other factors may have influenced driver behavior.
To determine how drivers react to sudden large increases in the price of gasoline, we can follow these steps:
1. Collect data: The statistician recorded the speeds (mph) of cars passing a large service station before and after the price of gasoline increased by 15 cents.
2. Analyze the data: Compare the recorded speeds before and after the price increase to see if there's a noticeable difference.
3. Conduct a hypothesis test: Perform a statistical test to determine if the observed differences in speeds are significant or due to chance. For example, you can use a paired t-test or another appropriate test based on the data collected.
4. Draw conclusions: If the test shows a significant difference in speeds, we can conclude that drivers' behavior changed in response to the price increase. Otherwise, we cannot confidently say that the speeds differ due to the price increase.
By following these steps, you can determine if drivers' speeds differ as a result of sudden large increases in the price of gasoline.
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PLEASE HELP ASAP!! Find another point in the pattern that passes through the points (0, 4) and (2, 12)
Answer:
um ok so we can carry the o to a 3, and then we can change it to a 8
so the answer is (3,8)
Step-by-step explanation:
Solve for T
3t-2 (t-1) ≥ 5t - 4 (2 + t)
The given inequality is simplified to t+1≥ t-8.
The given inequality is 3t-2(t-1) ≥ 5t-4(2 + t).
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality can be solved as follows:
3t-2(t-1) ≥ 5t-4(2+t)
⇒ 3t-2t+1 ≥ 5t-8-4t
⇒ t+1≥ t-8
Therefore, the given inequality is simplified to t+1≥ t-8.
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You have an ant farm with 23 ants. The population of ants in your farm will double every 3 months. The table shows the population growth of the ants over nine months. Decide whether the table represents a linear function or a nonlinear function. After one year, how many ants will there be in the ant farm?
The table shows the nonlinear function and after one year, there will be 23,552 ants in the ant farm.
The table shows the population growth of the ants over time, where the population doubles every 3 months. This means that the rate of growth is not constant, but rather increases over time. Therefore, the table represents a nonlinear function.
To find the population after one year (12 months), we can use the table to find the population after 9 months and then double it three times, since the population doubles every 3 months. According to the table, the population after 9 months is 368 ants. Doubling this population once gives 736 ants after 12 months. Doubling it twice gives 1,472 ants after 15 months, and doubling it a third time gives 2,944 ants after 18 months. Finally, doubling it a fourth time gives 5,888 ants after 21 months. Since the population doubles every 3 months, there will be two more doublings in the final 12 months. Doubling 5,888 ants twice gives:
5,888 x 2 x 2 = 23,552
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try these using the above pattern, find the value of the following. (i) 73 – 63 (ii) 123 – 113 (iii) 203 – 193 (iv) 513 – 503
The value of the given question by using the above pattern is (i)127, (ii)397, (iii)1141, (iv)7651.
What do you mean by pattern?In the real world, in artificial design, or in abstract concepts, a pattern is a regularity. As a result, a pattern's components repeat in a predictable way. Any of the senses can directly witness patterns, which are types of patterns made of geometric shapes and frequently repeated like wallpaper designs. On the other hand, abstract patterns in science, math, or language might only be visible through analysis. In actuality, direct observation entails recognizing visual patterns, which are common in both nature and art. Natural visual patterns are frequently chaotic, hardly ever precisely repeat, and frequently contain fractals. Spirals, meanders, waves, foams, tilings, fissures, and patterns produced by rotational and reflective symmetries are examples of natural patterns.
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Is 3.22×104 equal to 32,200?
Find the local maximum and minimum values and saddle point(s) of the function.
f(x, y) = x3 + y3 − 3x2 − 9y2 − 9x
The function f(x, y) = x³ + y³ - 3x² - 9y² - 9x has local maximum values at (-3, 0) and (1, 0), and a saddle point at (0, 3).
To find the critical points, we need to find the values of x and y where the partial derivatives of f with respect to x and y are equal to zero. Taking the partial derivatives, we get:
∂f/∂x = 3x² - 6x - 9 = 0
∂f/∂y = 3y² - 18y = 0
Solving these equations, we find the critical points to be (x, y) = (-3, 0), (1, 0), and (0, 3).
To determine the nature of these critical points, we can use the second partial derivative test. Computing the second partial derivatives:
∂²f/∂x² = 6x - 6
∂²f/∂y² = 6y - 18
∂²f/∂x∂y = 0
Substituting the critical points into the second partial derivatives, we find that:
∂²f/∂x²(-3, 0) = -24
∂²f/∂x²(1, 0) = -6
∂²f/∂x²(0, 3) = 0
Based on the sign of the second partial derivatives, we can determine the nature of each critical point. The point (-3, 0) has a negative second derivative, indicating a local maximum. The point (1, 0) has a negative second derivative, indicating a local maximum as well. Finally, the point (0, 3) has a second derivative equal to zero, indicating a saddle point.
Therefore, the function has local maximum values at (-3, 0) and (1, 0), and a saddle point at (0, 3).
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I need help quickly,.............
The answer is -√125
Step-by-step explanation:
-√125 does not simplify to an integer as -√125 = -5√5
If \text{m}\overset{\Large\frown}{DR} = 34^{\circ}m DR ⌢ =34 ∘ and \text{m}\overset{\Large\frown}{SV} = 94^{\circ}m SV ⌢ =94 ∘ , find \text{m}\angle Lm∠L
The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.
The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.
In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.
Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘
To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘
Therefore, the measure of angle L is 64 degrees.
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Use the slope formula to find the slope of the line that goes through the points ( 6, -5) and (3, 4). 13 3 −1/3 -3
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\(slope = \frac{ - 5 - 4}{6 - 3} \\ \)
\(slope = \frac{ - 9}{3} \\ \)
\(slope = - 3 \\ \)
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from 8 names on a ballot, a committee of 5 will be elected to attend a political national convention. how many different committees are possible?
There are a total of 56 possible committees.
Given data,
From 8 names on a ballot, a committee of 5 will be elected to attend a political national convention.
To know how many different committees are possible;
From the given data,
By using the combinations we get,
⇒ ⁸C₅
⇒ ⁸C₅ = \(\frac{8!}{5!*(8-5)!}\)
= 56
Therefore, a total of 56 different committees is possible.
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I’m not sure I need help
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
which series of transformations shows that paralelogram abcd is congruent to parallelogram abcd by superimposing one onto the other
The series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other is a combination of translation and rotation that involves 150 degrees. A transformation refers to the process of changing an object's position, size, or shape.
Translation, reflection, rotation, dilation, and skew are the five basic transformation types that modify an object.In geometry, congruent shapes have the same shape and size. To superimpose one shape onto another means to make them coincide with each other.
The following series of transformations would show that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other: Step 1: Translation. Translate the parallelogram ABCD by 5 units to the right and 6 units down to obtain parallelogram A1B1C1D1.Step 2: Rotation. Rotate parallelogram A1B1C1D1 by 150 degrees counterclockwise around point A1 to obtain parallelogram A2B2C2D2.Step 3: Translation. Translate parallelogram A2B2C2D2 by 8 units to the right and 3 units up to obtain parallelogram A'B'C'D'.Thus, the series of transformations that shows that parallelogram ABCD is congruent to parallelogram A'B'C'D' by superimposing one onto the other involves translation and rotation, with a rotation of 150 degrees.
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Polygon pqrs is a scaled copy of abcd. name the angel in the scaled copy that corresponds to angle abc.
The angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.
We have,
As we can see the attached figure,
Scale factor : Scale Factor is the ratio of size of new image formed to the size of old image and the image obtained is the scaled copy.
i.e.,
Scale factor = \(\frac{Change\ in\ size}{Original\ size}\)
So,
There are two Polygons abcd and pqrs,
And,
Polygon pqrs is the scaled copy of Polygon abcd,
So,
That means both polygons are similar,
so,
Their corresponding angles will be same,
So
We can say that angle corresponds to angle abc is angle pqr.
Hence, we can say that the angel in the scaled copy that corresponds to angle abc in the polygon pqrs which is a scaled copy of abcd will be angle pqr.
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Simplify the expression x - 2/3 - 1/2x .
(A) 1/2x - 2/3
(B) -1/3x - 3/4
(C) 1/4x - 1/2
Answer:
View Highlighted Part in Picture!
Step-by-step explanation:
Mark me Brainliest?
please help me :(
Any Maths Moderator:( please help me; I am in great trouble
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
Answer:
x=4
Step-by-step explanation:
\((2x-4)^{12}\) =\(16^{6}\)
2x-4=\(\sqrt[12]{16^{6} }\) =4
x=4
Jalell is trying to earn enough money to buy and ipad. Of the 1200 he needs. he has earned 900$ So far. What percent of the money has Jalell earned so far?
A.90%
B.75%
C.80%
D.85%
Solve 9x + 3y= 15 for y.
A. y= -3x+5
B. y= -3x+15
C. y= 9x+15
D. y= -9x+5
Answer:
A
Step-by-step explanation:
I got y = 5 - 3x which is the same as y = -3 + 5
Answer:
y= -3x+5
Step-by-step explanation:
To solve for y, you need to get y by itself on the left side.
Subtract 9x from both sides to get 3y= -9x+15.
Then, divide 3 from both sides to get y= -3x+5.
Hope this helps!
please help asap
sssss
Answer:
Sin(theta) = 3/5
Step-by-step explanation:
Remark
The Sin(theta) = opposite / hypotenuse
The opposite side is not defining the angle. The hypotenuse is the longest side of a right triangle.
In this case the opposite is 3
The hypotenuse = 5
Answer: Sin(theta) = 3/5
Which is the graph of y = log4(x+3)?
Answer:
Step-by-step explanation:
Answer:
Option c points at (-2,0) (-1, 0.5) and (1,1)
Step-by-step explanation: