A bag of marbles contains 5 red, 3 blue, and 12 yellow marbles. Predict the


number of times Hazel will select a blue marble out of 500 trials.

There are two different ways in which he can choose 9 sandwitches. It can be solve by the concept of permutation and combination.

What is permutation and combination?

A permutation is an arrangement of several items taken one at a time or all at once in a specific order.

Combinations are based entirely on grouping. Combinations can be used to determine how many different groups that can be created from the available items.

Since all vegitarian sandwiches looks like same and all sandwitches with meat looks like same hence, their order will not affect the number of choice.

If 8 sandwitches are vegitarian then 1 sandwitch must be with meat. So that total sandwithches becomes 9.

If all 9 sindwitches are vegetarian then there is no option to choose another sandwitch. Because he can choose only 9 sandwitches.

Hence, there are two different ways in which he can choose 9 sandwitches.

Learn more about permutation and combination from the following link:

https://brainly.com/question/3901018#:~:text=Expert%2DVerified%20Answer&text=If%20the%20order%20of%20the,n%2Dr)!

#SPJ4

Answer:

88%.

Step-by-step explanation:

To calculate percentage: (198 × 100) ÷ 225

This equals 19800 ÷ 225, which is 88%.

Answer:

88%

Step-by-step explanation:

198/225

=0•88

0•88×100

=88%

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

Step-by-step explanation:

Answer:

5(x+3)

Step-by-step explanation:

Find the Greatest Common Factor (GCF).

GCF = 55

2 Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

5(\frac{5x}{5}+\frac{15}{5})5(

​5

​

​5x

​​ +

​5

​

​15

​​ )

3 Simplify each term in parentheses.

5(x+3)5(x+3)

Factor 5 out of 5x + 15.

5 (x + 3)

9514 1404 393

Answer:

  0.28 -0.95i

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \(\dfrac{4-3i}{4+3i}=\dfrac{(4-3i)(4-3i)}{(4+3i)(4-3i)}=\dfrac{7-24i}{25}=\boxed{0.28-0.96i}\)

_____

Additional comment

If the original number is A∠β, the ratio is 1∠(2β), the square of the unit vector in the same direction as the original.

Answer:

b)

Step-by-step explanation:

the easy way of doing this in my opinion is just to multiply the options by their corresponding values so in this case 3x10=30 and 5x14=70 then add those together and it equals 100 points with a total of 24 questions

The statement "If |x| = 6, then x can only be equal to 6" is false.

The absolute value of a number represents its distance from zero on the number line.

The expression |x| = 6 means that the distance of x from zero is 6. Therefore, x can be either positive or negative 6.

In this case, x can be either 6 or -6 because both numbers have an absolute value of 6.

Hence, x is not limited to being equal to only 6.

To learn more on Absolute value click:

https://brainly.com/question/4691050

#SPJ6

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

To maximize profit, the company should produce 5 thousand of type A solar panels and 0.1875 thousand of type B solar panels per year.

To maximize profit, we need to find the values of x and y that will give us the maximum value of the profit function P(x,y) = R(x,y) - C(x,y).

First, let's find the profit function by subtracting the cost function from the revenue function:

P(x,y) = R(x,y) - C(x,y)
= (6x + 7y) - (x^2 - 4xy + 8y^2 + 16x - 61y - 2)
= -x^2 + 10x + 3y - 8y^2 + 2

Next, we need to find the partial derivatives of the profit function with respect to x and y:

∂P/∂x = -2x + 10
∂P/∂y = 3 - 16y

To find the critical points, we need to set the partial derivatives equal to zero and solve for x and y:

-2x + 10 = 0
x = 5

3 - 16y = 0
y = 0.1875

So the critical point is (5, 0.1875).

To determine if this is a maximum or minimum, we need to find the second partial derivatives and use the second derivative test:

∂^2P/∂x^2 = -2
∂^2P/∂y^2 = -16
∂^2P/∂x∂y = 0

The determinant of the Hessian matrix is (-2)(-16) - 0^2 = 32. Since this is positive and ∂^2P/∂x^2 is negative, the critical point is a local maximum.

Therefore, to maximize profit, the company should produce 5 thousand of type A solar panels and 0.1875 thousand of type B solar panels per year.

know more about solar panels here

https://brainly.com/question/14809330#

#SPJ11

Answer:

are u dumxb?? asur grandpa in the graveyard

Answer:

19.9

Step-by-step explanation:

As 21 is opposite the right angle this side must be the hypotenuse :

Pythagoras Theorem says :

a² + b² = c²

Where c is the hypotenuse.

Substituting values in gives us (a and b do not matter) :

x² + (√43)² = 21²

Now we simplify :

Using the surd law:

√a ×√a = a

(√43)² = √43×√43 = 43

21² = 441

x² + 43 = 441

Subtract 43 from both sides :

x² + 43 - 43 = 441 - 43

x² = 398

Square root both sides :

x = √398

√398 = 19.9 to 1 d.p.

Hope this helped and have a good day

86.25

Step-by-step explanation:

5×2.3×7.5= your answer

The value of angle E  in the ΔDEF is 121°.

Given,

∠B = (96 + y)°

∠E = (6y - 29)°

EF = BC

AB = DE

AC = DF

Therefore, ΔABC ≅ ΔDEF

So, ∠ABC = ∠DEF or ∠B = ∠E

     96 + y = 6y - 29

      6y - y = 96 + 29

           5y = 125

             y = 125/5

             y = 25

∠E = 6y - 29

     = 6(25) - 29

     = 150 - 29

     = 121

Hence, ∠E = 121°.

To learn more about angle here:

https://brainly.com/question/28451077

#SPJ1

Answer:

A, B & D

Step-by-step explanation:

Because if you subtract one of the constants from both sides then you should only have equal variables. In other words, both sides have to be identical in this situation.

33x-33= 33x + 25

33x = 33x + 58 No matter what you make x, the right will be 58 bigger than the right so there is no solution.

33x+33=33x+25

33x+8= 33x nope no solution

33x+25=33x+25

33x = 33x both sides identical so there is a solution

33x-25 = 33x +25

33x= 33x+50

The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.

In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:

Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.

Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.

The objective function we want to minimize is:

Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)

Subject to the following constraints:

1. Initial inventory: y1 = 15 (given)

2. Production capacity constraints:

  x1 <= 90 (month 1 capacity)

  x2 <= 75 (month 2 capacity)

  x3 <= 80 (month 3 capacity)

  x4 <= 50 (month 4 capacity)

3. Inventory balance equations:

  y1 + x1 - 50 = y2 (month 1)

  y2 + x2 - 65 = y3 (month 2)

  y3 + x3 - 100 = y4 (month 3)

  y4 + x4 - 70 = 0 (month 4, no carryover inventory)

4. Non-negativity constraints:

  x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0

Learn more about Linear Program

brainly.com/question/32090294

#SPJ11

Random variables can be either discrete or continuous.

Sample spaces need not consist of numbers.  In statistics, we are most often interested in numerical outcomes such as the "count" of an occurrence.  We call X a random variable because its values vary when the phenomenon is repeated.  We use capital letters near the end of the alphabet like X or Y.

A random variable is a variable whose value is a numerical outcome of a random phenomenon.  When a random variable describes a random phenomenon the sample space S just lists the possible values of the random variable.  There are two ways of assigning probabilities to the values of a random variable that will dominate our application of probability as we study statistical inference.

Random variables can be either discrete or continuous.  A discrete random variable X has a "countable number of possible values.  The probability distribution of X lists the values and their probabilities in table form.  The probabilities must satisfy two requirements:

1)  every probability pi is a number between 0 and 1

2) p1 + p2 +,,,+pk = 1.

The probability of any event is found by adding the probabilities pi of the particular values xi that makes up the event.

For more information on random variables click on the link below:

https://brainly.com/question/17217746

#SPJ4

Answer:

A

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 )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line

m = \(\frac{4+2}{5+5}\) = \(\frac{6}{10}\) = \(\frac{3}{5}\)

The line crosses the y- axis at (0, 1) ⇒ c = 1

y = \(\frac{3}{5}\) x + 1 → A

The slope-intercept form of the equation is y=3/5x+1. Therefore, option A is the correct answer.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

The given coordinate points on the line are (-5, -2) and (5, 4).

Now, slope =(4-(-2))/(5-(-5))

= 6/10

= 3/5

Substitute m=3/5 and (x, y)=(-5, -2), we get

-2=3/5 (-5)+c

-2=-3+c

c=1

Substitute m=3/5 and c=1, we get

y=3/5x+1

Therefore, option A is the correct answer.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ2

Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.

The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.

In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.

In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.

Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.

The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.

Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

Answer:

180°

Step-by-step explanation:

In all triangles, the measure of its three angles always adds up to 180. Therefore, the m∠UWV is 180°.

:Done

The design should be b. A completely randomized design if the experiment is to be conducted with four factors at three levels.

In a completely randomized design, the number of factors can be randomly determined and can be more than two. Also, the experimenter can also set the levels of the independent factors. Therefore in this case where the experiment is conducted with four factors at three levels, the completely randomized design is the most suitable.

On the other hand, a one-way ANOVA design is not suitable for this experiment as it only includes a single independent variable or factor. A two-way ANOVA is an extension of a one-way ANOVA design that considers the influence of only two independent variables on one dependent variable, so this design can also be not used in this case.

To learn more about completely randomized design; click here:

https://brainly.com/question/16911198

#SPJ4

Answer:

3, 11, 32, 35, 38

Step-by-step explanation:

Ascending order means to place in order from smallest to largest.

Hope this helps!

If not, I am sorry.

Step 1: Calculate the rate of change in the moose population.

The rate of change in the moose population can be calculated by subtracting the 1991 population (3270) from the 1997 population (4770) and dividing the result by the number of years (7).

Therefore, the rate of change in the moose population is (4770 - 3270) / 7 = 700 moose/year.

Step 2: Find the formula for the moose population in terms of the years since 1990.

The formula for the moose population in terms of the years since 1990 is P(t) = 3270 + 700t, where t is the number of years since 1990.

A population may grow as a result of certain changes. Animal populations that consume certain plants may grow if there are more plants present than typical in a region. If the population of one species rises, the population of animals that consume that animal may also rise.

For more questions like Moose population visit the link below:

https://brainly.com/question/29664806

#SPJ4

Answer:

the answer is 4

Step-by-step explanation: r is the variable so we are trying to find a number that would equal 21 . 3x4=12+9=21 pls mark me brainiest thanks;p

Answer:

The answer is 144

Step-by-step explanation:

12*12

12²

144

Answer:

y = 1/5x

Step-by-step explanation:

Answer:

A translation because it can map one angle onto another since dilation preserve angle measures of triangles.

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

3.5 = 3 hours 30 minutes

343 : 3.5 = 98 (km/h)

yes! six identical triangles can be formed by drawing two straight lines through an octagon's center point.

What is octagon ?

An eight-sided, two-dimensional geometric figure is called an octagon. There are 8 inner angles and 8 outside angles in an octagon. An octagon has a total of 1080° for its interior angles and 360° for its outside angles. In an octagon, there are 20 diagonals. According to their sides and angles, octagons are divided into many varieties.

By passing two straight lines through the center of an octagon, it is possible to create six identical triangles. The following sequence of numbers: 2, 6, 14, 30, 64, is the logical one after that.

To learn more about the octagon from the given link

https://brainly.com/question/27389561

#SPJ4