determine the type of distribution for the following situation: draw marbles from a bag containing 5 red marbles, 6 blue marbles and 4 green marbles with replacement and count the number of blue marbles. a) hypergeometric b) binomial c) poisson d) none of these

Answer:

What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.

MARK AS BRAINLIEST!!!

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

The given differential equation is solved using the Laplace transform method. After taking the Laplace transform and simplifying the equation, we find the expression for the Laplace transform of the solution.

To solve the given initial value problem (IVP) using the Laplace transform, we will follow these steps:

Step 1: Take the Laplace transform of both sides of the differential equation.

Applying the Laplace transform to the equation y" - 6y' + 13y = 16te^3t, we get:

s^2Y(s) - sy(0) - y'(0) - 6(sY(s) - y(0)) + 13Y(s) = 16L{te^3t}

Using the initial conditions y(0) = 4 and y'(0) = 8, we can simplify the equation as follows:

s^2Y(s) - 4s - 8 - 6sY(s) + 24 + 13Y(s) = 16L{te^3t}

(s^2 - 6s + 13)Y(s) - 4s - 16 = 16L{te^3t}

Step 2: Solve for Y(s).

Combining like terms and rearranging the equation, we have:

(s^2 - 6s + 13)Y(s) = 4s + 16 + 16L{te^3t}

Dividing both sides by (s^2 - 6s + 13), we get:

Y(s) = (4s + 16 + 16L{te^3t}) / (s^2 - 6s + 13)

Step 3: Find the inverse Laplace transform of Y(s) to obtain the solution y(t).

Taking the inverse Laplace transform of Y(s), we get:

y(t) = L^(-1){(4s + 16 + 16L{te^3t}) / (s^2 - 6s + 13)}

To solve this inverse Laplace transform, we can use tables of Laplace transforms or a Laplace transform calculator to find the expression in terms of t. The resulting expression will be the solution to the given IVP.

Learn more about Laplace transform : brainly.com/question/30759963

#SPJ11

Answer:

You can use a^2+b^2=c^2;

Step-by-step explanation:

42^2+78^2=(6x-1+10x+5)^2

Answer:

3.5

Step-by-step explanation:

Triangles always equal to 180

42 + 78 + 16x + 4 = 180

124 + 16x = 180

56 = 16x

3.5 = x

Answer:

One may think that he is the most powerful Sith Lord, and on some levels this is correct, but that title falls to another, even more powerful Sith Lord. That is Jar Jar Binks. He possesses the power to wipe out entire universes without blinking an eye. Jar Jar is an entity that was here before the universe was created. He made God. He even made Shaggy in his image so that he could have a set of eyes on Earth. He needed a right hand man to corrupt humanity at its source. Some might say that Jar Jar is the true form of evil, but I refute that claim with an argument of my own. Jar Jar Binks may have destroyed countless lives, but he did so in order to keep the balance of the universe, and for that, I thank him. All hail Jar Jar.

 Step-by-step explanation:

Answer:

x + 59 = 0    

X= -59

Step-by-step explanation:

The equivalent equations are:

52 = 8n + 4

4(2n + 1) = 5

4 = 52 – 8n

n = 6

Options A, B, C, and E are the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 5 is an equation.

We have,

A.

52 = 8n + 4

8n = 52 - 4

8n = 48

n = 6

B.

4(2n + 1) = 52

8n + 4 = 52

8n = 52 - 4

8n = 48

n = 6

C.

4 = 52 – 8n

8n = 52 - 4

8n = 48

n = 6

D.

4n = 48

n = 12

E.

n = 6

Thus,

The equivalent equations are:

52 = 8n + 4, 4(2n + 1) = 5, 4 = 52 – 8n, and n = 6.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

Answer:

D

Step-by-step explanation:

It is the law of cos

C^2= A^2+B^2-2*A*B*cosL where L is the angle between A and B

so C = 32^2 + 35^2 - 2(32)(35)cos120°

(a) The conditions gi(1) = 92(1) and g1′(1) = g2′(1) must be satisfied at z = 1.

(b) For x = 0, the natural cubic spline satisfies the conditions g1(0) = 0 and g1′(0) = 0.

(c) At x = 2, the natural cubic spline satisfies the conditions g2(2) = 0 and g2′(2) = 0.

(d) Applying the conditions from (a) to (c), we get the following system of equations:

\(g1(1) = g2(1)\)

=> a + b(1 - 1) + c(1 - 1)² + d(1 - 1)³ = 1
g1′(1) = g2′(1)

=> b + 2c(1 - 1) + 3d(1 - 1)² = 2r³

g1(0) = 0

=> a + b(0 - 1) + c(0 - 1)² + d(0 - 1)³ = 0
\(g1′(0)\) = 0

=> b + 2c(0 - 1) + 3d(0 - 1)² = 0

\(g2(2)\) = 0

=> a + b(2 - 1) + c(2 - 1)² + d(2 - 1)³ = 0
\(g2′(2)\) = 0

=> b + 2c(2 - 1) + 3d(2 - 1)² = 0

Solving this system of equations, we get:
a = 1
b = 4/3
c = -13/12
d = 7/12

Therefore, the natural cubic spline g on [0,2] is given by:

g(x) = {1 + 2(x - 1)³} , 0 ≤ x ≤ 1
g(x) = {1 + (4/3)(x - 1) - (13/12)(x - 1)² + (7/12)(x - 1)³}, 1 ≤ x ≤ 2

To know more about equations visit:

https://brainly.com/question/29538993

#SPJ11

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

To know more about Vector Visit:

https://brainly.com/question/24256726

#SPJ11

The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

https://brainly.com/question/31400182

#SPJ12

Answer:

1/2

Step-by-step explanation:

(-4--2)/(3-7)=-2/-4=1/2

Answer:

b. 1/2

Step-by-step explanation:

Points: (7, -2), (3, -4)

slope = (y2 - y1)/(x2 - x1)

slope = (-4 - (-2))/(3 - 7) = (-4 + 2)/(-4) = -2/(-4) = 1/2

The equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: \(358.92 + 3c = 451.89\)

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  \(a \div b\) = a divided in b equal parts.

Also, we can write: \(a \div b = a \times \dfrac{1}{b}\)

(it is since a = a times 1 so \(a/b = 1 \times (a/b) = (1/b) \times a\))

For the given case, the amount those 3 checks together have is the difference in Jade's account's initial and final balance.

Amount deducted by 3 checks = $451.89 - $358.92

Amount of all 3 checks is $c

Thus, total of their amount = $(c + c + c) = 3c

Thus, we get:

\(3c = 451.89 - 358.92\\\\\text{Dividing both the sides by 3}\\\\c = \dfrac{451.89 - 358.92}{3} \text{\: (in dollars)}\\or\\\\358.92 + 3c = 451.89\)

Thus, the equation from the given equations, representing c, the amount of one check(for the given condition), in dollars is given by: Option C: \(358.92 + 3c = 451.89\)

Learn more about division here:

https://brainly.com/question/26411682

Answer:3.25

Step-by-step explanation: $16.25/5 games = $3.25 for each game

The solution in interval notation is x < -4 or -3 < x < -1/4
 

To write the inequality in interval notation, we first need to find the critical points of the expression (1)/(\(x^{2}\)+7x+12). To do this, we factor the denominator:

\(x^{2}\)+7x+12 = (x+3)(x+4)

The critical points occur when the numerator equals zero, so we set 1/(x+3)(x+4) = 0 and solve for x. This gives us x = -4 and x = -3.

Next, we need to determine the sign of the expression (1)/(\(x^{2}\)+7x+12) for each interval defined by the critical points. We can do this by testing a value in each interval, such as x = -5, x = -3.5, x = -3, x = -2, and x = 0.

Using these test values, we find that the expression is positive when x is less than -4 or between -3 and -1/4, and negative when x is between -4 and -3 or greater than -1/4.

Therefore, the solution in interval notation is:

x < -4 or -3 < x < -1/4

Know more about  critical points   here:

https://brainly.com/question/31363923

#SPJ11

Answer:

ano ba gagawin

parang Ang Dali pero ano gagawin dyan

Hi there!

For this problem, pretty much add all of them and then subtract with 22 to find how much Jen ran on Friday.

Monday+Tuesday+Wednesday+Thursday:

Simplify all terms and find all common denominators:

Common denominator: 8

\(4 \frac{3}{4} = 4 \frac{6}{8}\)

\(5 \frac{1}{8} = 5 \frac{1}{8}\)

\(6 \frac{1}{4} = 6 \frac{2}{8}\)

Combine all terms:

\(4 \frac{6}{8} + 5 \frac{1}{8} + 6 \frac{2}{8} = 15 \frac{9}{8}\)

Simplify 15 9/8 or else can’t subtract with 22.

\(9/8 = 1 \frac{1}{8}\)

\(15 + 1 \frac{1}{8} = 16 \frac{1}{8}\)

Turn 22 into 21 8/8...

Subtract: 21 8/8 with 16 1/8

\(21 \frac{1}{8} - 16 \frac{1}{8} = 5 \frac{7}{8}\)

This means that 5 7/8 is how much mile Jen must run on Friday to reach her goal.

Answer: vertical angles

these angles are also congruent

hope this helps!

Answer:

vertical lines

Step-by-step explanation:

that's answer choice

Answer:

According to the graph, when y = 0, x = -0.4 and 2.3 .

Answer:

Step-by-step explanation:

when y=0,curve cuts x-axis and it cuts x-axis where x=-0.4

and x=2.3

Answer:

x=5

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

leave the x variable on one side:

0.5x = 6 - 3.5

0.5x = 2.5

divide both sides by 0.5:

x = 5

The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

Learn more about curve here:

https://brainly.com/question/28793630

#SPJ11

Answer:

  $11.40

Step-by-step explanation:

You want to know the mom's total spending if she bought ...

using a $0.50 discount coupon.

The total bill is the sum of the costs of the items, less the amount of the discount coupon:

  $4.25 +2×2.25 +3.15 -0.50 = $11.40

She spent $11.40 at the coffee shop.

<95141404393>

Answer:

11.40

Step-by-step explanation:

Your welcome!

A basis for the kernel of A is { [2,-1,0,0], [1,0,1,0], [-3,0,0,1] }. To find a basis for the kernel of A, we need to find all solutions to the equation Ax = 0.

This can be done by row reducing the augmented matrix [A|0]:

[A|0] =

[ 1 -2 -1  3|0]

[ 2 -5 -1  6|0]

[-1  2  0 -3|0]

Row reducing this matrix gives:

[ 1 -2 -1  3|0]

[ 0  1  1  0|0]

[ 0  0  0  0|0]

So the system is equivalent to the equations x1 - 2x2 - x3 + 3x4 = 0 and x2 + x3 = 0. Solving for the basic variables in terms of the free variables, we get x1 = 2x2 + x3 - 3x4 and x2 = -x3. So the general solution is:

x = [2x2 + x3 - 3x4, -x3, x3, x4]

 = x2[2,-1,0,0] + x3[1,0,1,0] + x4[-3,0,0,1]

Thus, a basis for the kernel of A is { [2,-1,0,0], [1,0,1,0], [-3,0,0,1] }.

Learn more about kernel here:

https://brainly.com/question/15183580

#SPJ11

The slope field for the differential equation dy/dx = x² y² can be generated by plotting short line segments at each point (x, y) in the x-y plane. The direction of each line segment is determined by the value of x and y at that point, with steeper slopes indicating a larger rate of change.

To generate a slope field for the differential equation dy/dx = x² y², we need to plot short line segments at each point (x, y) in the x-y plane. The direction of each line segment is determined by the value of x and y at that point, with steeper slopes indicating a larger rate of change.

First, we can identify the stationary points of the differential equation by setting dy/dx = 0. This gives us the two lines y=0 and x=0, which intersect at the origin. We can see from the equation that any solution passing through the origin will have a slope of zero at that point, so the slope field will have horizontal lines for y=0 and vertical lines for x=0.

Next, we can look for other interesting features of the slope field. One such feature is the line y=1/x, which is a solution to the differential equation. To see this, we can substitute y=1/x into the equation and verify that both sides are equal. Along this line, the slope of the solution will be zero, since both x and y are changing at the same rate. Therefore, the slope field will have horizontal line segments along the curve y=1/x.

Overall, the slope field for dy/dx = x² y² will have horizontal lines for y=0, vertical lines for x=0, and horizontal line segments for y=1/x. In between these features, the slope of the line segments will increase as we move away from the origin, indicating that the rate of change of the solution is increasing.

Learn more about Slope click here :

brainly.com/question/3605446

#SPJ11

Answer:

\(x-3y=21\)

Step-by-step explanation:

The standard form of a linear equation is \(Ax+By=C\)

STEP 1: Multiply both sides by \(3\).

STEP 2: Simplify \(3(y+6).\)

STEP 3: Simplify again.

STEP 4: Rewrite the equation with the sides flipped.

STEP 5: Move all terms containing variables to the left side of the equation.

STEP 6: Move all terms not containing a variable to the right side of the equation.

Rearranging the equation given to conform with the standard form of an equation, the expression becomes -x + 3y = - 21

The standard form of expression a linear equation is given as :

Given the expression : y + 6 = 1/3(x - 3)

Multiply both sides by 3

3(y + 6) = x - 3

3y + 18 = x - 3

Move x and y to the same side and the constant to the other.

3y - x = - 3 - 18

-x + 3y = - 21

Hence, the standard form of the equation is - x + 3y = - 21

Learn more : https://brainly.com/question/18405415

Answer:

Solving it would turn into these:

(20x+37)/ x- 5

20+ (137/x-5)

The answer is Option A. -1/2.To find the x-intercept of the composite function g(h(x)), we need to find the value of x such that g(h(x)) = 0.

To do this, we first need to find h(x) for each value of x given in the table:

h(-6) = 16

h(-4) = 10

h(-1) = 1

h(1) = -5

h(5) = -17

Next, we need to find g(h(x)) for each of these values of h(x):

g(16) = ?

g(10) = ?

g(1) = ?

g(-5) = ?

g(-17) = ?

To find g(16), we look for the value of x in the table where h(x) = 16. From the table, we see that h(-6) = 16, so we plug in x = -6 into g(x) to get g(16) = -11. Similarly, we can find the values of g(h(x)) for the other values of h(x):

g(h(-6)) = g(16) = -11

g(h(-4)) = g(10) = -7

g(h(-1)) = g(1) = -1

g(h(1)) = g(-5) = 3

g(h(5)) = g(-17) = 11

We are now ready to find the x-intercept of g(h(x)). Since g(h(x)) = 0 when x = -1, the answer is A. -1/2.

To learn more about x-intercept please click on below link.

https://brainly.com/question/12594759

#SPJ1

The expression will be given as h(8) = -0.3(8-5)²+7.5 the value of the function h(8) will be 6.3 feet.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

Now from the question when the boy jumped from a certain height he lands 8 feet farther away this condition will be expressed in the expression as follows:-

h(x) = -0.3( x - 8)² +7.5

Put x = 8 feet as

h(8) = -0.3(8-5)²+7.5

h(8) = -0.3 ( 3 )² + 7.5

h(8) = -2.7 + 9

h( 8 ) =  6.3 feet

Therefore expression will be given as h(8) = -0.3(8-5)²+7.5 the value of the function h(8) will be 6.3 feet.

To know more about expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

The probability that the sample proportion falls between 0.25 and 0.4 is 0.7223.

The given problem involves finding the probability of the proportion of the characteristic of interest in a random sample of size 225 from a population where the proportion is known to be 0.34. The sample proportion can be approximated by the normal distribution, with a mean of 0.34 and a standard deviation of \(\sqrt{(0.34*(1-0.34))/225} = 0.038\).

To find P(0.25<p<0.4), we need to standardize the values using the formula z = (p - 0.34)/0.038 and find the corresponding probabilities using a standard normal distribution table or calculator.

Thus, \(P(0.25 < p < 0.4) = P((-0.92) < z < (1.58)) = 0.9011 - 0.1788 = 0.7223\).

Therefore, the probability that the sample proportion falls between 0.25 and 0.4 is 0.7223.

For more questions like Probabilities visit the link below:

https://brainly.com/question/30903838

#SPJ11

Answer:

The value of variable x = 12

Step-by-step explanation:

Given:

Given triangle is an equilateral triangle

Side of given triangle = 10 unit

Angle S = 5x°

Find:

The value of variable x

Computation:

We know that each angle of an equilateral triangle is 60°

So,

Angle S = 60

By putting value of angle S

5x = 60

The value of variable x = 60 / 5

The value of variable x = 12

Answer:

$16.50

Step-by-step explanation:

$27.50/5=5.5

5.5*3=16.5

Answer:

What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:

27.50/5 = 5.50 dollars

Now, we know how much does one bag cost, so we multiply it by three:

5.50 * 3 = 16.50

Now, we know 3 bags cost 16.5 dollars