if x(square) plus y(square) is 8.and the froduvt is . what are x and y?​

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer:

A, 6

Step-by-step explanation:

\(50=8x+2\)

subtract \(2\) from both sides

\(48=8x\)

divide both sides by \(8\)

\(x = 6\)

plz mark me brainliest ;)

Answer:

The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).

Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.

Here's a problem:

c ⊿ a (12)

  b (6)

C is missing, we have to find C, so here's what we do:

Step 1: You square all the numbers in the equation

12² + 6² = c²

↓

144 + 36 = c

Step 2: You add 144 + 36 and you get 180

Step 3: Then you find the square root >>  \(\sqrt{180\\\) and you get ≈13.4

Now sometimes, the a or b would be missing, for example:

c (13)⊿ a

     b (5)

A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)

Step 1: You square all the numbers in the equation

a² + 5² = 13²

a + 25 = 169

For this next part, you must subtract a or b (in this case, b) on both sides, for example:

25 – 25 = 169 - 25

25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.

Then we find the square root of 144 and we get 12

I hope this helps :)

Answer: B

Step-by-step explanation:

f'(4) = 5/32. This means that at x = 4, the slope of the tangent line to the curve y = f(x) is 5/32.

To find f'(4), we first need to find the derivative of the given function f(x). We can use the quotient rule to do this:

f(x) = sqrt(x) + 3/sqrt(x)

\(f'(x) = (1/2)x^(-1/2) - 3/2x^(-3/2)\)

Now we can substitute x = 4 to find f'(4):

\(f'(4) = (1/2)4^(-1/2) - 3/24^(-3/2)\)

f'(4) = (1/2)(1/2) - 3/2(1/16)

f'(4) = 1/4 - 3/32

f'(4) = 5/32

Therefore, This also means that the rate of change of f(x) at x = 4 is 5/32, which is the instantaneous rate of change or the derivative of the function at that point.

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Answer:

80

Step-by-step explanation:

120/3=40

40x2=80

The 20th percentile is 20,

The 25th percentile is 22.50.

The 65th percentile is 28.

The 75th percentile is 29.

Given values:

27, 25, 20, 15, 30, 34, 28, and 25.

n = 8

sorting the data gives:

15, 20, 25, 25, 27, 28, 30, and 34.

= 20/100 * 8

= 1.6 ≈ 2

1.6 is rounded to 2, the second value is in the sorted data set is 20 hence the 20th percentile is 20

= 25/100 * 8

= 2

Since 2 is an integer, the mean of the 2nd and the 3rd values in the sorted data set gives the 25th percentile.

( 20 + 25 ) / 2 = 22.5

hence the 25th percentile is 22.50

= 65/100 * 8

= 5.2 ≈ 6

5.6 is rounded to 6, the sixth value is in the sorted data set is 28 hence the 65th percentile is 28

= 75/100 * 8

= 6

Since 6 is an integer, the mean of the 6th and the 7th values in the sorted data set gives the 75th percentile.

( 28 + 30 ) / 2 = 29

hence the 75th percentile is 29

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Answer: Any really

Step-by-step explanation:

a) Factor:

.. (x -h +√(-k/a)) * (x -h -√(-k/a))

b) Graph:

.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a".

c) Vertex and Extreme:

.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise.

d) Solutions:

.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are

.. x = h ± √(-k/a)

Answer:

8 sqft/40sqft

Step-by-step explanation:

12 * 4 = 48

2 * 3 = 6

1 * 2 = 2

48 - 6 - 2 = 40

If you're looking for the area of the green, it's 40sqft

If you're looking for the area of the brown boxes inside the green, it's 8sqft

Hope this helps and good luck!

The inequality that represents the situation is 8.50x < 35 and the pounds of shrimp Luna can buy is 4.

Inequality is a statement that two or more mathematical expressions are unequal.

Inequalities are represented as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), and not equal to (≠).

The cost price of shrimp per pound = $8.50

The total spending budget = $35

Let the number of pounds of shrimp Luna can buy = x

8.50x < 35

x = 4

Thus, the total amount Luna can spend on shrimp is $34 (4 x $8.50), which is less than $35.

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Answer:

10,000

Step-by-step explanation:

1000 times 10 is 10000

Answer:

Step-by-step explanation:

y= 6+ 2x

8x - 4y = -20

a.  My personal choice for how to solve this system of equations depends on how complex the equations are.  Anything that is nonlinear, e.g., x^2 for example, I'll using graphing.  For this particular system, I would go with either substitution or, if my computer is handy, go to the free DESMOS graphing site and find the intersection of the plotted lines.  I don't know what "equal values" is, so I can't comment.  Substitution and elimination are really the same thing, in my view.

I'll solve using both substitution and graphing:

Substitution:

y= 6+ 2x

8x - 4y = -20

We can use the first equation definition of y (6+2x) in the second equation:

8x - 4y = -20
8x - 4(6+2x) = -20

8x - 24 - 8x = -20

0x = 4

Well, that didn't work out well . . . .

Maybe I did something wrong.  Let's try:

Graphing:

See the attached graph.

Zounds (metric term for "that's odd")

The lines appear parallel.  If so, there is no solution - they never intersect.  [They have a lot in common, too bad they'll never meet.]

Let's rewrite both equations in slope/intercept format of y = mx + b, where m is the slope and b is the y intercept (the value of y when x = 0)

---

y= 6+ 2x

y = 2x + 6

This line has a slope of 2, with an intercept of 6

8x - 4y = -20

-4y = -8x - 20

y = 2x + 5

This line also has a slope of 2, with an intercept of 5,

The lines are parallel so there is no solution.  I should have rewritten both in slope-intercept form as a first step.  One would spot the same slope and finished the problem: no solution.  Using the DESMOS graphing tool was just as easy, and it helps build confidence in what is happening.

Answer:B

Step-by-step explanation:

A is wrong because it's less than the 450.

D is wrong because 2 inches would equal 900. So, you're down to B or C. Multiply 450×1.4= 630. 450×1.5= 675. 630 is closer to 635, therefore it is the answer.

The required measure of 635 miles in inches on the map is 1.4 in. Implies
The two cities are 1.4 inches apart on the map. Option B is correct.

Given that,

On a map, 1 inch equals 450 miles. Two cities are 635 miles apart. Approximately how far apart the cities on the map are to be determined.

A map is a blueprint or picture of an area or planned area on paper, for better planning and understanding.

Here,

On the map, the scale of the map
1 inch = 450 miles
Two cities are 635 miles apart. Approximately
On the map
required measure = 635 / 450 = 1.41 inches.

Thus, the required measure of 635 miles in inches on the map is 1.4 in. Implies, the two cities are 1.4 inches apart on the map. Option B is correct.

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Answer:

y = -1 and u = 3.333

Step-by-step explanation:

The given equations are :

3u + y = 9 ...(1)

3u-5y = 15 ...(2)

Subtract equation (2) from (1).

3u + y-( 3u-5y)= 9 -15

y+5y = -6

6y = -6

y = -1

Put the value of y in equation (1).

3u + (-1) = 9

3u-1 = 9

3u = 10

u = 10/3

u = 3.333

The attached figure shows the graph for the above equations.

Answer:

9 cm

Step-by-step explanation:

Total surface area of a cube =486 cm²

 We know that the surface area of the cube

=6l²

 Therefore,

6l ² =486

l² =81

l =9 cm

The standard deviation for a binomial probability distribution is : √npq.

The correct option is (D) i.e., square root of npq

The standard deviation of a random variable, sample, statistical population, data set or probability distribution is the square root of its variance.

For a binomial distribution,

µ = np, which signifies the expected number of successes.

\(\sigma^2\) = npq , \(\sigma^2\) is the variance.

Since, the standard deviation is the square root of the variance,

Therefore, σ = Standard deviation = √npq

Thus, the standard deviation for a binomial probability distribution is given by √npq.

The correct option is (D)

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Answer:

it will be on platform 9 3/4

Step-by-step explanation:

Answer: the secon one

Step-by-step explanation: im smart trust me

The probability that a data value is between 56 and 64 is 62.5%. Option D is the correct answer.

The given normal distribution has the following parameters:

Mean = 62

Standard deviation = 4

To find the probability that a data value is between 56 and 64, we need to find the z-scores corresponding to these values. Using the z-score formula, $$z=\frac{x-\mu}{\sigma}$$

Where x is the data value, µ is the mean, and σ is the standard deviation. Substituting the given values, we get:

For x = 56,$$z=\frac{56-62}{4}=-1.5$$For x = 64,$$z=\frac{64-62}{4}=0.5$$

Now we need to find the probability that a data value is between these z-scores using the standard normal distribution table. The table gives the area under the curve to the left of a given z-score. To find the area between two z-scores, we need to find the difference between the areas to the left of the two z-scores.

Using the standard normal distribution table, we find:

Area to the left of z = -1.5 is 0.0668

Area to the left of z = 0.5 is 0.6915

Therefore, the area between z = -1.5 and z = 0.5 is:0.6915 - 0.0668 = 0.6247

Rounding off to the nearest tenth of a percent, we get 62.5%. Hence, the correct option is D.

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Question:

Write an algebraic statement that represents all the ways your player will win. Be sure to define your variable

Answer:

Erica:

\(0 \leq |x - y| < 10\)

Nita:

\(10 < |x - y| \leq 20\)

Step-by-step explanation:

Given

Players: Erica & Nita

Range: 0 to 20

Represent Erica with x and Nita with y

For Erica to win;

The difference between x and y must be less than 10 but greater than or equal to 0

i.e.

\(0 \leq x - y \leq 10\) or \(0 \leq y - x \leq 10\)

These two expressions can be merged together to be:

\(0 \leq |x - y| < 10\)

For Nita to win;

The difference between x and y must be greater than 10 but less than or equal to 20

i.e.

\(10 < x - y \leq 20\) or \(10 < y - x \leq 20\)

These two expressions can be merged together to be:

\(10 < |x - y| \leq 20\)

Answer:

no solution

Step-by-step explanation:

The given system of differential equations is:

x'(t) = -95x + 53y - 2xy

y'(t) = -185x - 203y - xy

To solve this system, we can use various methods such as substitution or matrix methods. Let's solve it using the matrix method.

We can rewrite the system of differential equations in matrix form as:

X' = AX

where X = [x y]', X' = [x'(t) y'(t)]', and A is the coefficient matrix:

A = [[-95 53], [-185 -203]]

To find the solutions, we need to find the eigenvalues and eigenvectors of matrix A. The eigenvalues are the roots of the characteristic equation det(A - λI) = 0, where I is the identity matrix. Solving this equation gives us the eigenvalues λ1 = -100 and λ2 = -198.

Next, we find the eigenvectors associated with each eigenvalue. For λ1 = -100, the corresponding eigenvector is [2 1]'. For λ2 = -198, the corresponding eigenvector is [-1 1]'.

Therefore, the general solution of the system of differential equations is:

X(t) = c1e^(-100t)[2 1]' + c2e^(-198t)[-1 1]'

where c1 and c2 are constants determined by initial conditions.

In summary, the solution to the system of differential equations is given by X(t) = c1e^(-100t)[2 1]' + c2e^(-198t)[-1 1]', where c1 and c2 are constants determined by the initial conditions.

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Answer:

Its C. (-3,-1)   not B.

Step-by-step explanation:

I just took the Unit test so trust me and become my friend plssss

Answer:

yes c on edge 21' is correct

Step-by-step explanation:

The likelihood of the spinner to land on a consonant rather than a vowel is C. Less likely.

The likelihood of the spinner landing on a consonant rather than a vowel can be found by the formula :

= Number of consonants / Number of outcomes on the spinner

= 4 / 9

= 0. 44

This likelihood is less than 50 % which is what would have made the likelihood equally likely. However, it is not much lower than 50 % so the likelihood would be less likely.

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Answer:

triangle bby

Step-by-step explanation:

Step-by-step explanation:

Right because there's an angle of 90

The van contains 12 students and the bus contain 33 students.

The given information is:

The senior class at the high school rented and filled 14 vans and 11 buses with 531 students.

For this, we have to convert it into an equation:

14v+11b=531---------(1)

A High school b rented and filled 7 vans and 7 buses with 315 students.

For this, we have to convert it into an equation:

7v+7b=315----------(2)

To, find the number of students in the van and bus we have to solve two equations :

14v+11b=531

7v+7b=315*2

---------------------

14v+11b=531

14v+14b=630

----------------

        -3b=-99

           b=33

The total number of students on the bus is 33 members.

Now substitute the b value in any equation, and substitute in equation(2) we get the v value:

7v+7(33)=315

7v+231=315

7v=84

v=12

The total number of students in the van is 12 members.

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1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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