Acellus help asap
find the expected value of the winnings
from a game that has the following
payout probability distribution:
payout ($)| 0
1
2
5
10
probability 0.12 0.2 0.38 0.2 0.1
expected value = [?]

For the first equation with y = 3x + 2 and y = -4x + 2, the lines have the same slope, but a different y-intercept. This means that the lines are parallel and they will never intersect. Therefore, the system of equations has no solution.

For the second equation with y = 2x + 7 and y = 2x - 4, the lines have the same slope and the same y-intercept. This means that the lines are coincident and they will intersect at one point. Therefore, the system of equations has one solution.

For the third equation with y = 6x + 3 and y = -x - 4, the lines have a different slope and a different y-intercept. This means that the lines are not parallel and they will intersect at one point. Therefore, the system of equations has one solution.

For the fourth equation with y = 4x + 3 and y = 4x - 1, the lines have the same slope and the same y-intercept. This means that the lines are coincident and they will intersect at one point. Therefore, the system of equations has one solution.

For the fifth equation with y = 3x + 6 and y = 3x + 6, the lines have the same slope and the same y-intercept. This means that the lines are coincident and they will intersect at one point. Therefore, the system of equations

Answer:

y = - 5x - 16

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5, then

y = - 5x + c ← is the partial equation

To find c substitute (- 4, 4) into the partial equation

4 = 20 + c ⇒ c = 4 - 20 = - 16

y = - 5x - 16 ← equation of line

The length=12cm and width=8cm of the rectangle.

What is area of rectangle?

   The territory a rectangle occupies inside its four sides or limits is known as its area. A rectangle's sides determine its area. Basically, the area formula is equal to the rectangle's product of its length and width.

Here length = l ans width = w.

The length of rectangle is 4 cm less than twice its width.

=> l = 2w - 4

Then area of rectangle A= 96 sqaure centimeters.

=> A = l*w

=> 96 = (2w-4)w

=> 96= 2\(w^{2}\)-4w

=>  2\(w^{2}\)-4w = 96

=>  2\(w^{2}\)-4w-96=0

=> \(w^{2}\)-2w -48 =0

=> \(w^2\)-8w+6w-48=0

=> w(w-8)+6(w-8)=0

=> (w+6)(w-8)=0

=> w= -6,8

Then width w = 8 cm

Now l = 16-4 =12 cm.

Therefore the length = 12cm and width=8 cm.

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Answer:

0.04

Step-by-step explanation:

You have to divide 1 and 25 and your answer will be 0.04 :)

Answer:

y = - \(\frac{1}{2}\) x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y + 4 = - \(\frac{1}{2}\) (x - 2) ← distribute

y + 4 = - \(\frac{1}{2}\) x + 1 ( subtract 4 from both sides )

y = - \(\frac{1}{2}\) x - 3 ← in slope- intercept form

The correct answer is d. As viscosity increased, the flow rate decreased and the graph was linear.

Viscosity is a measure of a fluid's resistance to flow. The higher the viscosity of a fluid, the more resistant it is to flow. Flow rate, on the other hand, is a measure of how much fluid flows through a particular point in a given amount of time.

When viscosity increases, the flow rate decreases, and this relationship is linear. This means that as viscosity increases, the flow rate decreases at a constant rate, resulting in a straight-line graph. The slope of this graph represents the degree of change in flow rate with respect to viscosity.

In contrast, if the flow rate were to increase as viscosity increased, the graph would be curved, indicating a nonlinear relationship between the two variables. Therefore, option d is the correct answer, and the other options do not accurately describe the relationship between flow rate and viscosity.

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The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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The prediction interval is then calculated as follows as: ±0.0196.

The prediction interval for the length of life of a horse can be calculated using the following formula:

Prediction interval = ±1.96 * standard error

here the standard error is the standard deviation of the sampling distribution of the estimate.

The standard error can be estimated using the formula:

Standard error = √[(1/n) * sum((estimate - y\()^2\)]

here n is the sample size, estimate is the sample mean, and y is the true population mean.

In this case, the sample size is n = 2, the estimate is x = 2, and y = 18.89.01087.

Substituting these values into the formula, we get:

Standard error = √[(1/2) * (2 - 18.89.01087\()^2\)]

= √[(1/2) * (2 - 18.89.01087)]]  ]]\()^2\)]

= √[0.5 * (2 - 18.89.01087)\()^2\)]

= √[0.5 * 0.02087\()^2\)]

= √0.5 * 0.001156

= 0.001156

The standard error is approximately 0.001156.

The prediction interval is then calculated as follows:

Prediction interval = ±1.96 * standard error

= ±1.96 * 0.001156

= ±0.0196

Rounding to the nearest hundredth, the prediction interval is approximately 0.02.  

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The angle between lines 2x 3y =- Z is 90°

We will simplify the given equation of lines in the standard form of x/a=y/b=z/c

where a, b and c are the direction ratios of the line.

We will calculate the angle between these lines using the formula:

\(cos\alpha =\frac{a_{1}a_2 +b_1b_2+c_1c_2}{\sqrt{a_1^2+b_1^2+c_1^2}\sqrt{a_2^2+b_2^2+c_2^2} }\)

we are given two lines as 2x = 3y = – z and 6x = -y = -4z

We can write them in standard form xa=yb=zc

as:

For 2x = 3y = – z ⇒x/1/2=y/1/3=z/−1/4

Comparing this equation with the standard equation, we get the direction ratios of this line:

a₁= 1/2

b₁=1/3

c₁ = -1

For 6x = -y = -4z ⇒x/1/6=y−1=z/−1/4

Comparing this equation with the standard equation, we get the direction ratios of this line:

a₂= 1/6, b₂= -1, c₂= −1/4

Now, putting these values of a₁, a₂, b₁, b₂, c₁, and c₂

in the equation of cosα, we get

\(cos\alpha =\frac{a_{1}a_2 +b_1b_2+c_1c_2}{\sqrt{a_1^2+b_1^2+c_1^2}\sqrt{a_2^2+b_2^2+c_2^2} }\)

\(cos\alpha =\frac{\frac{1}{2} *\frac{1}{6} +\frac{1}{3} *(-1)+(-1)\frac{(-1)}{4} }{\sqrt{(\frac{1}{2})^2 +(\frac{1}{3})^2 +(-1)^2}\sqrt{(\frac{1}{6} )^2+(-1)^2+(\frac{-1}{4})^2 } }\)

\(cos\alpha =\frac{\frac{1}{12} -\frac{1}{3} +\frac{1}{4} }{{\sqrt{(\frac{1}{2})^2 +(\frac{1}{3})^2 +(-1)^2}\sqrt{(\frac{1}{6} )^2+(-1)^2+(\frac{-1}{4})^2 } } }\)

\(cos\alpha =\frac{\frac{1}{12} -\frac{1}{12} }{{\sqrt{(\frac{1}{2})^2 +(\frac{1}{3})^2 +(-1)^2}\sqrt{(\frac{1}{6} )^2+(-1)^2+(\frac{-1}{4})^2 } } }\)

cosα=0°

cos⁻¹(cosα)=cos⁻¹(0)

α=90°

Therefore, the angle between the lines 2x = 3y = – z and 6x = -y = -4z is 90°

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The width of the dumpster that minimizes its surface area is approximately 1.71 yards, and the length is approximately 3.42 yards.

The length of the rectangular dumpster is equal to two times its width, or 2x, if x is its width. The dumpster's height is not specified, however it is not necessary for this issue.

We need to determine the dumpster's size to reduce the amount of surface area it has. The following sources provide the rectangular dumpster's surface area:

A = lw + lh + lw

where w stands for width, l for length, and h for height.

Given that the container must hold \(20 yd3\) of waste, we can use the formula for the volume of a rectangular solid to create the following sentence:

\(V = lwh = (2x) (x)\\h = 2x^2 h = 20\\h = 10/x^2\)

Inputting this expression for h into the surface area A formula yields the following results:

\(A = 2lw + 2lh + 2wh = 2(x)(2x) + 2(x)(10/x) + 2(2x)(10/x) = 4(x)(2x) + 40(x)\)

We can take the derivative of A with respect to x, set it equal to zero, and solve for x to determine the dimensions that minimise A:

\(dA/dx = 8x - 40/x^2 = 0\\8x = 40/x^2\\x^3 = 5\\x = (5)^(1/3)\\\)

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Answer:

You can get the answer of 1,2,3,4,5 or 6. Each are 1/6 likely to be rolled.

Step-by-step explanation:

The die has 6 sides. If you were to roll the die 6 times you have the chance to roll the side with 1. The chances of rolling a 1 are 1/6.

Answer:

the answer is 111

Step-by-step explanation:

\(180 - 36 - 75 = 69\)

\(180 - 69 = 111\)

Answer:

x = 111°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 75° + 36° = 111°

The probability  is 0.0808 or 8.08%

To answer this question, we need to use the normal distribution formula:

Z = (X - μ) / σ

where:

Z = the standard score or z-score

X = the value we want to find the probability for (in this case, X = 173)

μ = the mean (μ = 180)

σ = the standard deviation (σ = 5)

Substituting the values, we get:

Z = (173 - 180) / 5 = -1.4

Using a calculator or a standard normal distribution table, we can now determine the likelihood of getting a value below -1.4.

We can determine the probability that corresponds to a z-score of -1.4 by using a standard normal distribution table, which is approximately 0.0808.

Therefore, the probability of getting less than 173 calls during a given hour of the day is 0.0808 or 8.08% (rounded to the nearest thousandth).

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Answer:

X = √2 R , where X is the length of the legs as R is the length of the radius .

Step-by-step explanation:

The opposite sides of two same angled triangle is also same . So in this case we can say two legs are in same length as their opposite angles are same (45°)

Now , suppose the given radius is R (look at the diagram) then total diameter  is 2R ( DIAMETER = 2 × RADIUS )

Now , we will consider the length of the legs are X ( as the are same ).

Now, we will apply Pythagoras theorem ( The squares on the legs of a right triangle is equal to the square on the hypotenuse . )

∵  X² + X² = (2R)²

or , 2X² = 4R²

or, X² = 2R²

We will root both side

X = √2R

So , X is the length of the legs as R is the length of the radius .

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Answer:

x = -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

Answer:25,000,000

Step-by-step explanation: add 6 zeroes behind the 25

Answer:

A. Parallel

Step-by-step explanation:

Answer:

C Figure C has no bases.

D Figure D is a triangular prism.

A Figure A is a cylinder.

Step-by-step explanation:

Answer:

B,D,C

Step-by-step explanation:

because thats the anwser

Answer:

Step-by-step explanation:

area of front face=(12+8)/2 ×8=80 cm²

volume=80×22=1760 cm³

Answer:

c

Step-by-step explanation:

An exponential function is a function where the number is raised to a constant power

exponential function is usually in the form : f(x) = \(a^{x}\)

a is positive and not equal to 1

x is a real number

to determine which option is an exponential function, determine which of the options have a common ratio

Option A :

28/7 = 4

49 / 28 = 1.75

option C

12 / 4 = 3

36 /12 = 3

the correct answer is C

The total number of pages that he read will be 210 pages.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Based on the equation given, the equation to represent Amir's information will be:

y = 35 × x

y = 35x

Jesse's equation will be:

y = 30(x + 1)

Then, we'll equate both equations together. This will be:

35x = 30(x + 1)

35x = 30x + 30

35x - 30x = 30

5x = 30

x = 30/5

x = 6

Therefore, the number of pages read will be:

y = 35x

y = 35 × 6

y = 210 pages.

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Answer:

X^2+6x+5

Step-by-step explanation

Answer:

12 1/2

Step-by-step explanation:

Answer:

12 pieces and 1/5 is left over

Step-by-step explanation:

To find the inverse Laplace transform of the function F(s) = 4/(s+1)/(s+3) + 12s^5, we can use various methods such as partial fraction decomposition and the table of Laplace transforms. By decomposing the function into simpler terms and using the properties of Laplace transforms, we can determine the inverse Laplace transform.

The function F(s) can be decomposed into partial fractions as follows:

F(s) = 4/[(s+1)(s+3)] + 12s^5.

To find the inverse Laplace transform of the first term, 4/[(s+1)(s+3)], we can use the partial fraction decomposition. By decomposing this term, we get:

4/[(s+1)(s+3)] = A/(s+1) + B/(s+3).

Solving for A and B, we can rewrite the function as:

4/[(s+1)(s+3)] = (A(s+3) + B(s+1))/[(s+1)(s+3)].

Now, we can use the table of Laplace transforms to find the inverse Laplace transform of each term. The inverse Laplace transform of A/(s+1) is Ae^(-t), and the inverse Laplace transform of B/(s+3) is Be^(-3t).

For the second term, 12s^5, we can use the table of Laplace transforms to find its inverse Laplace transform, which is (12/4!) t^4.

Finally, by combining all the inverse Laplace transforms of the individual terms, the inverse Laplace transform of F(s) is given by:

f(t) = Ae^(-t) + Be^(-3t) + (12/4!) t^4.

Therefore, the inverse Laplace transform of F(s) = 4/(s+1)/(s+3) + 12s^5 is f(t) = Ae^(-t) + Be^(-3t) + (12/4!) t^4.

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Solution:

We know that:

Based on the map given, we can say that the distance between the youth center and the school is 6 inches.

Use the scale to find out the real distance.

Divide 2 both sides:

Multiply 6 both sides:

The real distance is 927 ft.

Distance in map=6in

The five values in a summary are the median, the lower and upper quartiles, the maximum and minimum values in the data set. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.

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9514 1404 393

Answer:

  55°

Step-by-step explanation:

130° is an external angle to the small triangle at lower left, so is the sum of the remote interior angles. The unmarked interior angle at the bottom of that triangle is then 130° -30 = 100°.

That is an exterior angle of the large triangle that has remote interior angles of 45° and x°. So, ...

  x° + 45° = 100°

  x° = 100° -45°

  x° = 55°

_____

Alternate solution

The sum of the interior angles of a quadrilateral is 360°. Three of the angles in the bounding quadrilateral are x°, 45°, 30°. The fourth is the reflex angle that is (360° -130°) = 230°. So, we have ...

  x° +45° +230° +30° = 360° . . . . . angles CCW from lower right

  x° = 360° -305°

  x° = 55°