Division model 605÷18

Therefore, it is not even chance, but it is also not very unlikely. It is moderately likely that a yellow marble will be selected on the first draw.

Probability is a branch of mathematics that deals with the study of random events and their likelihood of occurring. It is a measure of the likelihood or chance of an event happening. Probability is expressed as a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.

In other words, probability is a way of quantifying uncertainty. It is used in various fields, such as statistics, physics, finance, engineering, and more, to help make predictions and decisions based on uncertain information. Probability theory provides a set of rules and tools for analyzing and manipulating random variables and events, and for calculating the probability of complex events.

The likelihood of a yellow marble being selected on the first draw can be calculated by dividing the number of yellow marbles by the total number of marbles in the bag:

likelihood of selecting a yellow marble = number of yellow marbles / total number of marbles

So, in this case, the likelihood of selecting a yellow marble on the first draw is:

likelihood of selecting a yellow marble = 2 / (3 + 2 + 1) = 2/6 = 1/3

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According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Answer:

multiply both the 3 and 5 by 2 and your answer will be -6/5

Answer:

30

Step-by-step explanation:

240/ 8 = 30.

alternatively, you can say 30 multiplied by 8 is 240. or you divide 240 by 30 and get 8.

Answer:

Yes correct so what is the question

240/8=30

Step-by-step explanation:

Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

Answer:

It was simply a case of bad luck.

Step-by-step explanation:

The predictable win outcome from playing a round of a certain gambling game = 25%

If one plays 100 rounds, the predictable wins should be 25 (100 * 25%)

If the actual wins = 18, which is less than the predictable wins of 25, the actual result is less than the expected value or outcome by 7.  This is simply a case of bad luck.  Bad luck is defined as an unpredictable outcome that is unfortunate.  It is when the predicted (expected) outcomes, 25 wins, are more than the unpredicted (actual observed) outcomes, 18 wins.

The solution has been explained below.

We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.

1. Calculate the pool's diameter and radius:

We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.

The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.

2. Calculate the amount of water in the pool:

Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.

The formula A = πr² can be used to calculate the area of the pool's base,

Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.

3. Determine the pool's total material cost:

There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.

As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.

If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.

4. Calculate the pool's total labour hours:

A pool's construction is estimated to take 2.5 hours for every foot of its radius.

So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.

5. Calculate the total cost of labour for the project:

If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.

6. Find the project's overall cost:

The project's overall cost is the product of its labour and material costs:

Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.

In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.

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Answer:

4/5, 3/6, 5/12

Step-by-step explanation:

4/5 = 0.8

3/6 = 0.5

5/12 = 0.4166666667

Answer:

41

Step-by-step explanation:

Let the number of text messages be x.

\(34.99+0.12x \leq 40 \\ \\ 0.12x \leq 5.01 \\ \\ x \leq 41.75 \\ \\ \lfloor x \rfloor=41\)

Answer:

60 and -60

Hope this helps! :)

The maximum value of P is 81, and it occurs at (9,0)

Given the function P = 9x - 5t and the constraints x ≥ 0; 5x + 8y ≤ 40; 9x + 4y ≥ 36, the task is to maximize P.We will first plot the feasible region.

5x + 8y ≤ 405y ≤ 40 - 8yy ≤ (40/5) - (8/5)x or y ≤ - (8/5)x + 8This is an equation of a straight line.

To plot the line, we need to find two points on the line.We take x = 0, then y = 8. And,

taking y = 0, we get x = 5 Hence the graph of the inequality is:

Similarly, 9x + 4y ≥ 369x ≥ 36 - 4yy ≥ (36/9) - (4/9)x or y ≥ - (4/9)x + 4

This is the equation of another straight line. We take x = 0, then y = 4. And, taking y = 0,

we get x = 9Hence the graph of the inequality is:We can now graphically represent the feasible region in the following manner:

The corner points of the feasible region are A(0,0), B(5,0), C(6,3), D(9,0),

The value of P at these points is:A(0,0) ⇒ P = 0B(5,0) ⇒ P = 45C(6,3) ⇒ P = 45D(9,0) ⇒ P = 81

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Answer:

$30.00

Step-by-step explanation:

Find 20% of 25.

Well, we know that 20% is 1/5 so technically we are calculating 1/5 of 25. That is 5.

Now, we know that the tip is $5.00

$25 + $5 = $30

$30.00 in total

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

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Answer:

48 cm^2

Step-by-step explanation:

We can substitute the h in the given equation with 8.

1/2 * (8+4) * 8

Next we can add inside the parenthesis

1/2* (12) * 8

Another way we can write 1/2* 12 is 12 divided by 2 which is equivalent to 6.

So, now our equation is 6*8

6*8 = 48 so our answer is 48 cm^2

Hope this Helps!!! :)

Rewrite the equations of the given boundary lines:

y = -x + 1  ==>  x + y = 1

y = -x + 4  ==>  x + y = 4

y = 2x + 2  ==>  -2x + y = 2

y = 2x + 5  ==>  -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

\(J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3\)

Rewrite the integrand:

\(-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3\)

The integral is then

\(\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}\)

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Answer:

================

The x-intercept is the value of x, when y = 0, in other words, it is the root of the equation.

According to the x-intercepts, the function is:

The function y = f(x + 5) is then:

The x-intercepts are:

Answer:

x = -8, -3

Step-by-step explanation:

Transformations of graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Translations

\(f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}\)

\(f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}\)

\(f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}\)

\(f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}\)

f(x) → f(x + 5)  means that the parent function is translated 5 units to the left.

Therefore, if the x-intercepts of the graph y = f(x) are x = -3 and x = 2, the x-values of the intercepts of the graph y = f(x + 5) are:

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Answer:

x=9/2

y= -3/2

Step-by-step explanation:

espero que te sirva:)

Answer:

5x+y=21......equation 1

x-3y=9......equation 2

from1:y=21-5x.....equation 3

substitute y by 21-5x in equation 2

x-3(21-5x)=9

x-63+15x=9

x+15x=9+63

16x=72(we divide both sides by 16)

16÷16=72÷16

therefore x=9/2 or x=4,5

substitute x by 4,5 or 9/2 in equation 3

y=21-5(9/2) or y=21-5(4,5)

y=-3/2 or y=-3/2

prove

5(9/2)-3/2=21

-3/2-3(9/2)=9

Answer:

25 is correct answer try it

Step-by-step explanation:

Answer:

25 is correct answer try it

squareroot (3x-11)^2=(5+3)^2

3x-11=64

3x=64+11

3x=75

x=25

Answer:

2

Step-by-step explanation:

5x2=10

10+3=13

Answer:

Step-by-step explanation: 5 multiplied by 2 plus 3 equal to 13. 5×2 + 3 =13

The correct ratio to represent the ratio of cars to airplanes is 3:2

The correct ratio to represent the ratio of cars to airplanes in Alex's collection is 12:8.

To determine the ratio, we compare the number of cars to the number of airplanes. Since there are 12 model cars and 8 model airplanes, we express this ratio as 12:8.

The ratio of 12:8 can be simplified by dividing both numbers by their greatest common divisor, which is 4. Dividing 12 by 4 gives us 3, and dividing 8 by 4 gives us 2.

Therefore, the simplified ratio of cars to airplanes is 3:2.

Hence, the correct ratio to represent the ratio of cars to airplanes is 3:2.

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The statement "the mean of North Heights HS is greater than the mean of Southview HS"  correctly compares the centers of the distributions.

Let's start by estimating the mean and median of  distribution as shown in the attached image.

Mean of North Heights HS:

Mean = sum of  middle value of each class size × class frequency / total number of data value.

sum total of middle value × class frequency :

29 × 4+31 × 8+ 33 × 5 +35 × 4 + 37 × 2 + 39 × 1 + 43 × 1 = 825

total number of data value = 4+ 8 + 5 + 4 + 2 + 1 + 1 = 25

825/25 = 33

Mean of Southview HS:

sum total of middle value × class frequency :

25 × 2+27 × 6+29 x9 +31 x 6 + 33 x 2 = 725

total number of data value = 4+ 8 + 5 + 4 + 2 + 1 + 1 = 25

725/25 = 29

Therefore, the statement "the mean of North Heights HS is greater than the mean of Southview HS" is correct.

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See attached image for complete question.

Answer:

2x^2 = (2 x 2) x (2 x 2)

= 4 x 4

= 16

I hope this helps you