Answer:
" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80
Step-by-step explanation:
Take the probability of winning into consideration;
\(Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars\)
Solution ; " Expected Payoff " ⇒ $ 1.80
3/4x+8<41 graph it as well
Answer:
x<44
Step-by-step explanation:
The second derivative test can always be used to determine whether a critical number is a relative extremum. O True O False
The statement "The second derivative test can always be used to determine whether a critical number is a relative extremum" is False.
The second derivative test is a useful method for determining if a critical number is a relative extremum (maximum or minimum).
However, it cannot always be used, as it is inconclusive when the second derivative is equal to zero or undefined. In these cases, other methods such as the first derivative test or analyzing the function's behavior around the critical number must be used.
To apply the second derivative test, follow these steps:
1. Find the first derivative (f') of the function.
2. Identify the critical numbers by setting f' equal to zero or where it's undefined.
3. Find the second derivative (f'') of the function.
4. Evaluate f'' at each critical number. If f'' > 0, it's a relative minimum; if f'' < 0, it's a relative maximum. If f'' = 0 or undefined, the test is inconclusive.
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a box with a square base and open top must have a volume of . we wish to find the dimensions of the box that minimize the amount of material used. first, find a formula for the surface area of the box in terms of only , the length of one side of the square base. simplify your formula as much as possible. next, find the derivative, .
The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.
The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.
1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.
2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).
Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.
3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.
The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.
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PLease HELP ME In My WOrk PLEASE!!!!!
Answer:
c divided by 1/3
Step-by-step explanation:
if you plug in a number for c and solve for each of the equations you will find that c is false so it can't be used. for example if i use the number 30 for c, i get 10 for every single equation except for the last one
A piecewise function f (x) is defined by Part A: Graph the piecewise function f (x) and determine the range. (5 points)Part B: Determine the asymptotes of f (x). Show all necessary calculations. (5 points)Part C: Describe the end behavior of f (x). (5 points)
Answer
• a) Range: (-∞, –1)
• b) Horizontal asymptote when x ≤ 2: y = –3. Vertical asymptote when x > 2: x= 2. Horizontal asymptote when x > 2: y = –1.
,• c) When x decreases, it approaches –3, and when x increases, it approaches –1.
Explanation
• Part A: Graph the piecewise function f (x) and determine the range.
Using a graphing tool we can get the following graph:
As the range is all the y-values included in the function, we can see that in this case, the range is:
\((-\infty,-1)\)• Part B: Determine the asymptotes of f (x). Show all necessary calculations.
We have to get the asymptotes from the part where x ≤ 2 and x > 2.
In x ≤ 2 we do not have a vertical asymptote as it is not a rational function, but we do have a horizontal asymptote, which is y = k when we have the function:
\(y=a(b)^{x-h}+k\)Thus, in our case y = –3.
In x > 2, we do have a vertical and horizontal asymptote. We can get the vertical asymptote by setting the denominator of the function to 0:
\(x^2-5x+6=0\)If we solve the expression by factoring we get two solutions:
\((x-2)(x-3)=0\)\(\begin{gathered} x_1-2=0 \\ x_1=2 \end{gathered}\)\(\begin{gathered} x_2-3=0 \\ x_2=3 \end{gathered}\)Based on our function we can see that the vertical asymptote is x = 2 when x > 2. Then, the horizontal asymptote can be calculated with the limit:
\(\lim_{x\to\infty}(\frac{-x^2+2x+3}{x^2-5x+6})=-1\)Thus, our horizontal asymptote is y = –1 when x > 2.
• Part C: Describe the end behavior of f (x).
The end behavior of a function is how the function acts when x increases or decreases. Based on our graph we can see that when x decreases, it approaches –3, and when x increases, it approaches –1.
The IV in this experiment (Gender and GSR) is a(n) ____________ variable.
a. dummy
b. classification
c. treatment
d. extraneous
The correct option is: c. treatment
Why Gender and GSR is treatment variable?The IV (Independent Variable) in an experiment refers to the variable that is systematically manipulated or varied by the researcher to observe its effect on the dependent variable.
In the given experiment, the IVs are "Gender" and "GSR" (Galvanic Skin Response), indicating that these variables are systematically manipulated or varied to observe their effect on the dependent variable.
Therefore, "Gender" and "GSR" are not dummy, extraneous, or classification variables.
They can be considered as treatment variables as they are manipulated to observe their effect on the dependent variable.
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can some plz help wit dis?
Answer:
x = 15
Step-by-step explanation:
One side length, 49 ft, is given. The opposite side is equal to this. So solve (5x - 26) = 49. Add 49 + 26 to get 75. Then divide 75 by 5 to get 15.
Hope it helps!
2/3 + 1/3 x 3/4 in simplest form
Answer:
11/12
Decimal form: 0.916 (the 6 is continuous)
Step-by-step explanation:
Need answer ASAP!! Im really bad at fractions. There were 12 cookies at the bake sale. 4 were sold. The fraction of the cookies left is 8/12 . Reduce the fraction.
The reduced fraction of 8/12 is 2/3. This means that out of the initial 12 cookies, 8 cookies are left.
To reduce the fraction 8/12, we need to find the greatest common divisor (GCD) of the numerator and denominator, which is the largest number that divides both numbers evenly. In this case, the GCD of 8 and 12 is 4.
Dividing both the numerator and denominator by the GCD, we get:
8 ÷ 4 / 12 ÷ 4 = 2/3
Therefore, the fraction 8/12 is equivalent to 2/3 when reduced.
In conclusion, after reducing the fraction, the fraction of cookies left is 2/3. This means that out of the initial 12 cookies, 4 were sold and there are now 8 cookies remaining.
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what is the correct way to measure the zone of inhibition?
The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.
What is Area?Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.
The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.
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can you solve - x/4<7 ?
Answer:
Step-by-step explanation:
please help me with this question
The correct simplified form of the expression is x + 5.
a) The mistake that Hannah has made is incorrectly combining the terms 3x and -2x. Instead of subtracting the coefficients of x, she subtracted the entire expression 2x from 3x.
b) To simplify the expression correctly, we need to combine like terms. In this case, the like terms are the ones with the variable x.
The expression 3x + 5 - 2x can be rewritten as (-2x + 3x) + 5.
Now, let's combine the like terms:
(-2x + 3x) + 5 = x + 5
Therefore, the correct simplified form of the expression is x + 5.
To further clarify, Hannah mistakenly thought that subtracting 2x from 3x would result in 1x (or just x). However, when subtracting or adding terms with the same variable, we need to consider the coefficients. In this case, 3x - 2x simplifies to x, not 1x.
It's important to pay attention to the signs and operations when combining terms. In this scenario, Hannah overlooked the need to subtract the coefficients of x and ended up with an incorrect result.
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Find the sum of whole numbers from 1 to 830
344865
Explanation
Use the following formula:
\(\sum ^n_{i=1}i=\frac{n(n+1)}{2}\)
In this case, n=830, thus you get your answer by entering 830 in the formula like this:
\(\begin{gathered} \sum ^n_{i=1}i=\frac{n(n+1)}{2} \\ \sum ^{830}_{i=1}i=\frac{830(830+1)}{2} \\ \sum ^{830}_{i=1}i=\frac{830(831)}{2} \\ \sum ^{830}_{i=1}i=\frac{689730}{2} \\ \sum ^{830}_{i=1}i=344865 \end{gathered}\)so, the answer is
344865
SOMEONE HELP ME PLEASEEE What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash (/) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
(-1,-1) (1,5)
Answer:
your answer will be 3/1
Step-by-step explanation:
hope it helps u..
have a great day!!
how much money is 3462759.95 +463596739.98 equal
`100 points
Answer:
467,059,500
Thank you for the points! And this is really easy, just add :))
Day 4 of trying to find kiyah mccain :(
Answer:
who is that? Maybe i know this person...
Step-by-step explanation:
The balance after the grace period is $25,000. A payment of $5,000 is made on the 10th day. A payment of $5,000 is made on the 20th day. What is the average daily balance?
The average daily balance after 20 days is; $1750
Average BalanceThe initial balance after grace period is; $25,000
Afterwards, A payment of $5,000 each is made on the 10th and 20th day.
Hence, the total balance after 20 days is;
= $25,000 + $5000 + $5000= $35,000.The average daily balance is therefore the quotient of $35,000 and 20 days
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Which point best represents 10?
I NEED HELPPP:(
1) Is the distribution unimodal or multimodal?
The distribution is
unimodal.
multimodal.
unimodal.
The distribution is unimodal.
In statistics, a unimodal distribution refers to a distribution that has a single peak or mode. It means that when the data is plotted on a graph, there is one value or range of values that occurs more frequently than any other value or range of values.
To understand this concept, let's consider an example. Suppose we have a dataset representing the heights of a group of people. If the distribution of heights is unimodal, it means that there is one height value or range of heights that occurs most frequently. For instance, if the peak of the distribution is around 170 centimeters, it suggests that a large number of individuals in the group have a height close to 170 centimeters.
On the other hand, if the distribution is not unimodal, it could be multimodal or have no clear peak. In a multimodal distribution, there would be multiple peaks or modes, indicating that there are distinct groups or clusters within the data with different dominant values. In a distribution with no clear peak, the values might be more evenly distributed without a prominent mode.
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A cable that weighs 8 lb/ft is used to lift 600 lb of coal up a mine shaft 700 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xj.) lim Σ ŹC Ax n00 i = 1 Express the work as an integral. Jax Evaluate the integral. ft-lb
To find the work done in lifting the coal up the mine shaft, we can calculate the integral of the weight of the cable as it moves through the distance.
Given that the cable weighs 8 lb/ft, the weight of the cable at any position x feet below the top of the shaft can be expressed as 8x lb. Since the coal is being lifted a distance of 700 ft, we need to integrate the weight of the cable from x = 0 to x = 700. The work done can be approximated by a Riemann sum using the formula:
lim Σ ŹC Ax n00 i = 1
In this case, the sum represents the approximation of the integral using n subdivisions. The width of each subdivision is Δx = 700/n, and xi* represents the sample point in each subdivision.
By evaluating the integral, we can find the exact work done:
Jax
∫₀⁷⁰⁰ 8x dx
Integrating with respect to x, we get:
[4x²]₀⁷⁰⁰
Plugging in the upper and lower limits, we have:
(4 * 700²) - (4 * 0²)
Simplifying:
(4 * 490000) - 0
The work done is:
1960000 ft-lb
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Superior segway tours gives sightseeing tours around chicago, illinois. it charges a one-time fee of $60, plus $28 per hour. what is the slope of this situation? a. 28 b. 32 c. 60d. 88
Answer:
the answer is (a) 28.
Step-by-step explanation:
The given situation can be represented by a linear equation of the form:
Cost = mx + b
where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).
In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:
m = $28/hour
Therefore, the answer is (a) 28.
dar el perímetro de un círculo con diámetro de 8.
dar el area de un círculo dado el radio de 12
82 + 97 - 64x + 25 - 90x What will the answer be?
Answer:
-154x + 204
Step-by-step explanation:
Combine the three like terms and the two like terms together to get -154x + 204, the x comes first in an algebraic equation.
Answer:
-154x+204
Step-by-step explanation:
If Figure X is similar to Figure Y, and Figure Y is similar to Figure Z, can you conclude that Figure X is similar to Figure Z? Explain.
1 1/4 gallons =____pints
Answer:
10 pints
Step-by-step explanation:
8 pints (16 cups) in 1 gallons
1.25 * 8 = 10 pints in 1.25 gallons
so the answer is 10 pints
Find the volume of cuboid which is 9cm multiply 4cm multiply 5cm
The volume of cuboid with dimensions 9cm × 4cm × 5cm is 180 cm³
We know that the formula for the volume of the cuboid is:
V = l × w × h
where, V is the volume of the cuboid
l is the length of the cuboid
w is the width of the cuboid
and h is the height of the cuboid
Here, the length of the cuboid is l = 9 cm,
the width of the cuboid is w = 4 cm
and the height of the cuboid is h = 5 cm
Using above formula,
V = l × w × h
V = 9 × 4 × 5
V = 180 cubic cm
Therefore, the required volume is 180 cubic centimeters
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(its part b to question 9 ) If there are 15 students who don't wear glasses how many students are there in class?
PLZ HELP WILL GIVE BRANLIST
Answer:
25
Step-by-step explanation:
so lets write our ratios.
Students that wear glasses to the whole class:
2 : 5
Students that wear glasses to those that dont:
2 : 3
And now if there are 15 kids in the class that dont wear glasses, that means that we have to multiply the second ratio by 5 to get the amount of students that don't wear glasses to 15. So now the second ratio will be
10 : 15
10 being amount of kids with glasses, and 15 kids without glasses. Now we just have to add them to get the answer of 25.
a measurable part of a line that consists of two points, called endpoints, and all of the points between them are
A measurable part of a line that consists of two points, called endpoints, and all of the points between them are called Line sigments.
Geometry is a branch of mathematics that deals with how objects can be expressed as relationships of points, lines, planes, surfaces, and dimensions. When we draw lines in geometry, we use an arrow at each end to show that it expands infinitely. A line is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon. The figure below shows the line AB, where the length of the line AB is related to the distance between its endpoints, A and B. The symbol for the line is named after its two endpoints, e.g.
\( \bar{AB}\)
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What shape is the king of the quadrilaterals?
Square is consider as the king of all the quadrilaterals.
Explanation:
Quadrilaterals are four sided geometrical shape with four vertices, four sides, and four angles enclosed in it.There are six types of quadrilaterals namely trapezium, parallelogram, rectangle, rhombus, square, and kite.Square is consider as the king of all the quadrilaterals:
Square have all four sides congruent, opposite pair of sides parallel to each other, and measure of each angle is 90 degree.Each of these properties represents different types of quadrilateral.Each angle 90 degree represent rectangle.Opposites are parallel to each other represent parallelogram.All sides are congruent represents rhombus.Square consists property of parallelogram, rectangle, and rhombus.Therefore, square shape is consider as the king of all the quadrilaterals.
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A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
When the line passes through x = -6, what is the value of y? Enter the answer in the box.
HELP ME NOWWW
The solution is: When the line passes through x = -6, the value of y is: -13.
Here, we have,
given that,
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
we know the equation of straight line is: ;
y = mx + c
here, m = 0.75 and, (x,y) =(2, -7)
so, we get,
c = -7 - 0.75*2 = - 8.5
So, the equation of straight line is:
y = 0.75x - 8.5
now, when the line passes through x = -6,
we get,
y = 0.75* (-6) - 8.5
= - 13
Hence, The solution is: When the line passes through x = -6, the value of y is: -13.
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