In a certain class, the ratio of passing grades to failing grades is 7 to 5. How many of the 36 students failed the course?.

Answer:

91931 blue marker are made more than red

63012 blue marker are made more than green

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Answer:

T≥35. 36 is a possible solution.

Step-by-step explanation:

Atleast means that the number indicated is included thus a greater than or equal to sign is used.

Answer:

c-39 is the answer

Step-by-step explanation:

multiply the numbers that are in bracket

-4(8-c)-(3c+7)

the answer will be this

-32+4c-3c-7

ARRANGE IN LIKE TERM

-32-7+4c-3c

c-39 is the answer

Hope it is helpful for you

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Answer:

12

Step-by-step explanation:

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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A system of two quadratic equations can have no solution, one solution, or infinitely many solutions.

A system of two quadratic equations can have three possible scenarios regarding the number of solutions: no solution, one solution, or infinitely many solutions.

No solution: In this case, the two quadratic equations do not intersect or intersect at points that are not common. Geometrically, this represents two parabolas that are either completely separate or have no points of intersection. Algebraically, there is no value for the variables that simultaneously satisfies both equations.

One solution: This occurs when the two quadratic equations intersect at a single point. Geometrically, this represents two parabolas that intersect at a specific point. Algebraically, there is one unique solution that satisfies both equations simultaneously.

Infinitely many solutions: This happens when the two quadratic equations are essentially the same or are multiples of each other. Geometrically, this represents two parabolas that overlap completely or coincide. Algebraically, every point on the parabola(s) satisfies both equations.

The possibility of each scenario depends on the specific equations involved in the system. By manipulating the coefficients and constants in the equations, we can control the number of solutions.

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Answer:

b

Step-by-step explanation:

cause u are using 3 gallons which is taking away

Answer:

the answer is only 3

Step-by-step explanation:

you read all of them and you make it an equation and if it is negative or subtraction that would be your answer

The probability that 2 or fewer students in a class of 30 will be overweight, P(X < 2) is 0.33.

Probability is defined as the ratio of the possible outcomes to the total outcomes of an event. We have, 20% of children are considered overweight.

Total students in a class = 30

We have to determine the probability that 2 or fewer students in a class will be overweight. Using the exponential probability distribution,

P( X= x ) = me⁻ᵐˣ

where, m --> parameter

e --> special math constant and e = 2.73

Now, the probability for X is less than x

P( X < x ) = 1 - e⁻ᵐˣ

here, m = 0.20 , x = 2

The required probability, P(X < 2)

= 1 - e⁻⁽⁰·²⁰⁾²

= 1 - e⁻⁰·⁴⁰

= 1 - 0.670

= 0.33

So, required probability is 0.33.

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Answer:

Positive

Step-by-step explanation:

Below sea level would be negative and at sea level would be zero.

Answer:

D

Step-by-step explanation:

He has max $55, so the total cost must be minor or equal to this value

6.25 + 7.50p ≤ 55

7.50p ≤ 55 - 6.25

7.50p ≤ 48.75

p ≤ 48.75 / 7.50

p ≤ 6.5

p = 6

Answer:

1. 1.28

2. 55

3. +

Step-by-step explanation:

1. 0.043 x 10 {3}

= 0.043 x (10 x 3)

= 0.043 x 30

= 1.28

2. 5 + (9) (6) - 4

= 5 + 9 x 6 - 4

= 5 + 54 - 4

= 59 - 4

= 55

3. Which of the these operations should be completed last when solvingan equation?

a. x

b. +

c. ()

d.÷

b. +

Answer:

J>5

Step-by-step explanation:

I hope this helps let me know if it does

The fraction which is equivalent to 6/12 is 1/2

What does a fraction mean?

In the first place, fraction is a numerical quantity or relationship where one number is expressed in terms of another.

In order to determine the equivalence of 6/12 in fraction , we need reduce 6/12 to the lowest term, since 6 is common to 6 and 12 and that 6 divided by gives 1 and 12/6 gives 2, which means that we are left 1/2

The correct fraction which is equivalent to 6/12 is 1/2

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Full question:

A group of 12 students goes on a school field trip, 6 are in third grade. which fraction is equivalent to 6/12?

(A) 1/3

(B)1/4

(C) 1/6

(D) 1/2

The difference of the given fraction is expressed as \(\frac{x^2+4x-1}{x(x+2)}\)

Given the expression:

Take the LCM of the fraction to have:

\(=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}\)

Hence the difference of the given fraction is expressed as \(\frac{x^2+4x-1}{x(x+2)}\)

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Answer:

its B. x^2+4x+1 / x(x+2)

Step-by-step explanation:

did it on edge

Answer:

152.32

https://youtu.be/dQw4w9WgXcQ

Answer:

x = 1, -2, -7

Step-by-step explanation:

Just factor, you got this!

Answer:

B

Step-by-step explanation:

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Decision Variables and Objective:

The decision variables in this transportation model are the quantities to be shipped from each plant to each distribution center. Let's denote the quantity shipped from Marietta to Cleveland as X1, from Marietta to Baltimore as X2, and so on. Similarly, let's denote the quantity shipped from Minneapolis to each distribution center as Y1, Y2, and so forth.

The objective of the optimization model is to minimize the total transportation cost. The transportation cost is determined by multiplying the unit cost of shipping between each plant and distribution center by the corresponding quantity shipped and summing up these costs for all combinations.

To enforce the single sourcing constraint, we need to ensure that each distribution center is served from only one plant. This constraint can be represented by adding the following constraint for each distribution center:

X1 + X2 + X3 + X4 = Demand (for each distribution center)

Y1 + Y2 + Y3 + Y4 = Demand (for each distribution center)

These constraints ensure that the total quantity supplied from all plants to a particular distribution center is equal to the demand of that distribution center, effectively enforcing the single sourcing constraint.

Optimization Model and Interpretation of Results:

The optimization model can be formulated as a linear programming problem, where the objective is to minimize the total transportation cost while satisfying the capacity constraints and the single sourcing constraint.

The Excel Solver can be used to solve this model, providing the optimal solution for the decision variables and the corresponding minimum cost.

Interpreting the printouts, we can observe the values of the decision variables X1, X2, X3, X4, Y1, Y2, Y3, Y4, which represent the quantities shipped between each plant and distribution center. Additionally, we can see the total transportation cost, which is the objective value obtained by summing the costs of shipping for all combinations.

Pertinent results could include identifying the optimal shipping quantities that meet customer demand while minimizing costs. Interesting results might include identifying any significant differences in shipping costs between the plants and distribution centers. Unusual results could involve finding a scenario where the total transportation cost does not decrease proportionally with an increase in supply capacity or demand.

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Question:

Let \(p=x^2-2\) .

Which equation is equivalent to in terms of p ?

Answer:

\(p^2+18=9p\) or \(p^2+18 - 9p = 0\)

Step-by-step explanation:

Given

\(p=x^2-2\) .

Required

Find the equation equivalent to \((x^2-2)^2+18=9x^2-18\)

To get the equation equivalent to the given expression, we simply simplify \((x^2-2)^2+18=9x^2-18\) and solve in terms of p

\((x^2-2)^2+18=9x^2-18\)

Factorize expression on the right hand side

\((x^2-2)^2+18=9(x^2-2)\)

Substitute \(x^2 - 2\) for p

\((x^2-2)^2+18=9(x^2-2)\) becomes

\(p^2+18=9p\)

Hence, equation \(p^2+18=9p\) is equivalent to \((x^2-2)^2+18=9x^2-18\)

Solving further to get the value of p

\(p^2+18=9p\)

Subtract 9p from both sides

\(p^2+18 - 9p = 9p - 9p\)

\(p^2+18 - 9p = 0\)

Rearrange

\(p^2 - 9p +18 = 0\)

Factorize

\(p^2 - 6p - 3p +18 = 0\)

\(p(p - 6) - 3(p -6) = 0\)

\((p - 3)(p -6) = 0\)

p - 3 = 0 or p - 6 = 0

p = 3 or p = 6

Answer:

p^2-18+9p=0

Step-by-step explanation:

Khan

Answer:

6 + 3x

Step-by-step explanation:

3 * 2 and 3 *x

= 6 + 3x

you can not break that down any farther so it stays at "6 + 3x".

Hope this helps!

Answer:

3(2 + x) = 0

6 + 3x = 0

3x = -6

x = -6/3

x = -2

Hope this help. Do vote me for this. Thanks.

Answer:

14

Step-by-step explanation:

hope this helps

Let's consider what the problem wants us to find:

Let's find the fractional part:

 ⇒ the fractional part is equal:

       \(\frac{degree-covered-by-angle}{total-angle} =\frac{280}{180} =\frac{2*2*7*10}{2*2*3*3*5} =\frac{7*10}{3*3*5} =\frac{70}{45}=\frac{14}{9}\)

  Answer: The angle 280 degrees covers 14/9 of a semicircle.

Let's find the angle measure in radians:

 ⇒ we know that \(2\pi\) radians are equal to 360 degrees

    ⇒ to convert any degree to radians, you must multiply \(\frac{\pi }{180}\)

        so \(280*\frac{\pi }{180} =\frac{28}{18}*\pi =\frac{28\pi }{18}=\frac{2*14*\pi }{2*9} =\frac{14\pi }{9}\)

 Answer: The angle 280 degrees in radians is \(\frac{14\pi} {9}\) which in terms of \(\pi\) is

14/9

Hope that helps!

The four consecutive odd integers are -11, -9, -7, and -5.

Let's define the consecutive odd integers and set up an equation using the given conditions:
Let the four consecutive odd integers be:
x, x+2, x+4, x+6

The problem states that 5 times the sum of the first two is 5 less than 19 times the fourth:
5(x + (x+2)) = 19(x+6) - 5
Now, let's solve for x step-by-step:
Distribute the 5 and 19:
5(2x + 2) = 19x + 114 - 5
Simplify further:
10x + 10 = 19x + 109
Move all terms with x to one side by subtracting 10x from both sides:
10 = 9x + 109

Subtract 109 from both sides:
-99 = 9x
Divide by 9:
x = -11
Now that we have x, we can find the consecutive odd integers:
-11, -9, -7, -5.

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Answer:2x

Step-by-step explanation:

The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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The ability to order items in a sequence, such as longest to shortest, is known as Seriation.

Seriation is a cognitive skill that involves arranging objects, events, or ideas in a particular order or sequence. It is a crucial aspect of cognitive development and is typically acquired during early childhood. Seriation is the ability to mentally order objects along a quantitative dimension, such as size, weight, or length.

Seriation involves comparing and ordering items based on specific criteria. For example, if given a group of objects of different lengths, a child who has developed seriation skills will be able to arrange the objects in order from shortest to longest. Similarly, if given a group of numbers, a child who has developed seriation skills will be able to arrange them in order from smallest to largest.

Seriation is an important cognitive skill that is used in various areas of life, including academic, professional, and personal domains. It allows individuals to organize information and ideas in a logical and meaningful way, which can facilitate more efficient processing and understanding of complex concepts.

Overall, seriation is a fundamental cognitive skill that plays a crucial role in various aspects of life, including problem-solving, decision-making, and organization. It is an essential skill that supports the development of higher-order thinking skills, such as analysis, evaluation, and synthesis.

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