encuentra tres fraccion equivalente en cada caso *36/20 *-1/4 *50/40 *-5/-6​

Hey there!

Point D is located at point (5, -2)

In coordinates, the first number represents the x-coordinate, and the second number represents the y-coordinate. (TIP: YOU MUST START AT THE ORIGIN, OR (0, 0). In the x-coordinate, you go left/right that number of spaces, left for negative and right for positive. For the y-coordinate, you go up/down that number of spaces, down for negative and up for positive. This means that the point (5, -2) is 5 units right and 2 units down, which lands on point D.

Hope it helps and have an amazing day!

Answer:

\(\frac{5}{7\\}\) * \(\frac{3}{3}\) = \(\frac{15}{21}\)

Step-by-step explanation:

To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.

Answer:

a0 - 15

Step-by-step explanation:

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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The correct answer is, the most powerful test is the test least likely to result in a Type II error.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

In terms of hypothesis testing, the power of a test is given by the probability of rejecting a null hypothesis when it is actually false.

Also, we know that we commit a type II error when we don't reject the null hypothesis when it is actually false.

So, combining these two facts, we can infer that the most powerful test is the test where we have a high probability of rejecting a null hypothesis when it is actually false. This means that the most powerful test is given by the test that will have almost no or absolutely no type II error.

Hence, the most powerful test is the test least likely to result in a Type II error.

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Answer:

a is greater than or equal to 140

Step-by-step explanation:

Multiply both sides by 7, which cancels out the 7 and turns 20 into 140

a) NC(t) is not a renewal process.

b) The limit of NC(t)/t as t approaches infinity is equal to p/μ.

(a) To determine whether NC(t), t ⩾ 0, is a renewal process, we need to check whether it satisfies the two defining properties of a renewal process: (1) the interarrival times between consecutive events are independent and identically distributed, and (2) the interarrival times follow the same probability distribution as the original renewal process.

In this case, the interarrival times between consecutive counted events are not independent, because the presence of one event affects the probability of the next event being counted. Therefore, NC(t) is not a renewal process.

(b) To find the limit of NC(t)/t as t approaches infinity, we can use the law of large numbers, which states that the sample mean of independent and identically distributed random variables converges to the expected value of the random variable as the sample size increases.

Since each event is independently counted with probability p, the expected number of counted events by time t is p(t/μ). Therefore, by the law of large numbers, we have:

limt→∞ NC(t)/t = limt→∞ [p(t/μ)]/t = p/μ

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According to combinations formula there are 495 possible committees that can be selected from a group of 12 people.

To calculate this, you can use the formula for combinations

nCr = n!/(r!(n-r)!)

where n is the total number of people (12) and r is the number of people on the committee.
Therefore, the possible number of committees that can be selected is;

= {12!}/{4!8!}
= 12*11*10*9/4*3*2*1

= 11880/24
= 495
Therefore, 495 possible committees can be selected from a group of 12 people if a committee of 4 is to be selected.

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The dairy farmer used the relative frequency method of probability to reach his conclusion.

Relative frequency is a method of calculating probability that is based on the observation of how often an event occurs in a sample. The farmer likely observed how often he gets between 12 and 14 gallons of milk in a day and used that data to calculate the probability of it happening.

In contrast, theoretical probability is based on the assumption that all possible outcomes are equally likely. It is calculated by dividing the number of desired outcomes by the total number of possible outcomes.

Therefore, the correct answer is relative frequency.

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A row parallel to the line y = 4 on a coordinate grid would be represented by a line with an equation of the form y = c.

A coordinate grid is a two-dimensional plane consisting of a horizontal x-axis and a vertical y-axis. The point where the x and y-axes intersect is called the origin, and it has coordinates (0, 0).

An equation in the form y = c, where c is a constant, represents a horizontal line parallel to the x-axis. In this case, the equation y = 4 represents a horizontal line that intersects the y-axis at 4, as all points on the line have a y-coordinate of 4.

To find a row parallel to this line, we need to look for another line that also has a constant y-coordinate of 4. One way to represent this line is by the equation y = 4 again, since all points on this line have a y-coordinate of 4.

Alternatively, we can look for an equation in the form y = mx + b, where m is the slope of the line (which is zero for a horizontal line), and b is the y-intercept (which is 4 in this case). Thus, the equation for the row parallel to y = 4 would also be y = 4, since its slope is zero and it intersects the y-axis at y = 4, just like the line y = 4.

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Answer:

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

Each triangle face has height of 7 ft and base of 0.6 ft and the base of the pyramid is the square with side of 0.6 ft.

Total surface area includes a square base and four triangular faces and the measure of it is:

The matching choice is B.

The system of equations has infinite solutions, both equations represent the same line.

Here we have the following system of equations:

-3x+6y=12

2y=x+4

And we want to solve this by substitution, first, we can rewrite the first equation as:

-3x + 3*(2y) = 12

Now we can substitute the second equation 2y = x + 4 in the parenthesis, we will get:

-3x + 3*(x + 4) = 12

Now we can solve this for x.

-3x + 3x + 12 = 12

12 = 12

So this is true for any value of x, which means that both equations represent the same line (thus the system has infinite solutions).

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Answer:

True

Step-by-step explanation:

Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar. The left side of the above figure shows coplanar points A, B, C, and D.

Hope this helps

In order for the system of equations to be a consistent system, the value of k must be equal to -4.

To determine the value of k that makes the system of equations consistent, we can use the method of elimination or substitution. Let's use the method of elimination.

First, we can multiply the first equation by 5, the second equation by -1, and the third equation by 2 to make the coefficients of x in the three equations cancel each other out when added together.

The modified system of equations becomes:

5x - 10y + 20z = 20

5x - 9y + 22z = 16

-4x + 6y - 20z = 2k

Now, let's subtract the first equation from the second equation:

(5x - 9y + 22z) - (5x - 10y + 20z) = 16 - 20

y + 2z = -4

Next, let's add this equation to the third equation:

(-4x + 6y - 20z) + (y + 2z) = 2k - 4

-4x + 7y - 18z = 2k - 4

For the system of equations to be consistent, there must be no contradictions or inconsistencies. This means that the equations must be linearly dependent, and the last equation must be a multiple of the second equation.

Comparing the last equation (-4x + 7y - 18z = 2k - 4) with the second equation (y + 2z = -4), we can see that the two equations will be dependent and consistent if 2k - 4 is equal to 0.

2k - 4 = 0

2k = 4

k = 2

Therefore, in order for the system of equations to be a consistent system, the value of k must be equal to -4.

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Answer:

C

Step-by-step explanation:

all the options can give 9m+27 except C; 9m+12

Answer:

x² - 2x - 15

This is the third answer choice

Step-by-step explanation:

(x + 3)(x - 5) can be multiplied using the FOIL method: First, Last, Outer, Inner

First: x · x = x²

Outer: x(-5) = -5x

Inner: (3)(x) = 3x

Last: 3 (-5) = -15

Adding everything we get
x² - 2x - 15

This is the third answer choice

Answer:

Step-by-step explanation:

\(\tt (x+3)(x-5)\)

Use the FOIL method:-

\(\boxed{\tt \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd}\)

\(\tt x^2-5x+3x-15\)

Combine like terms:-

\(\tt x^2+(-5x+3x)-15\)

Simplify:-

\(\tt x^2-2x-15\)

Therefore, C) x² - 2x -15 is our answer.

_____________________

Hope this helps!

Answer:

No expressions listed.  Some possibilities are below.

Step-by-step explanation:

(180)^(1/2)

Since 180 = 5*36, we can wite 6*\(\sqrt{5\\}\)

Answer:

(9-9x) - (3-x)

Step-by-step explanation:

(4x2 -9x +1) - (5x2 -x -7)

4x2+1= 9. 5x2-7= 3

(9-9x) - ( 3-x)

The statement is not true for spherical geometry. Because the sum of the angles in a triangle in spherical geometry is not equal to 180 degrees.

"Information available from the question"

In the question:

In Euclidean geometry the sum of the angles in a triangle equals 180 degrees.

We have to identify that this is true for spherical geometry also;

Now, According to the question:

In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.

The sum of the angles of a spherical triangle is not equal to 180°. A sphere is a curved surface, but locally the laws of the flat (planar) Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is only slightly more than 180 degrees.

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Answer:

0.375

Step-by-step explanation:

2÷3 = 1.5

1.5÷4 = 0.375

The quotient is \(q(x) = 5x^3 + 7x^2 + 16x + 32\) and the remainder is \(r(x) = 55\). To perform polynomial long division for the given polynomial \[5x^4 - 3x^3 + 2x^2 - 9\] and the divisor, let's assume it to be \[d(x) = x - 2.\]

First, we start by dividing the highest-degree term of the dividend (5x^4) by the highest-degree term of the divisor (x). This gives us a quotient term of 5x^3.

Next, we multiply the entire divisor (x - 2) by the quotient term (5x^3), which gives us 5x^4 - 10x^3. We then subtract this from the original dividend, like a regular subtraction.

\[5x^4 - 3x^3 + 2x^2 - 9 - (5x^4 - 10x^3) = 7x^3 + 2x^2 - 9.\]

We bring down the next term from the dividend, which is 0x^2 (since there is no x^2 term in the remaining dividend). Now, we repeat the process by dividing the highest-degree term of the new dividend (7x^3) by the highest-degree term of the divisor (x). This gives us a new quotient term of 7x^2.

Multiplying the entire divisor (x - 2) by the new quotient term (7x^2) gives us 7x^3 - 14x^2. Subtracting this from the new dividend gives us:

\[7x^3 + 2x^2 - 9 - (7x^3 - 14x^2) = 16x^2 - 9.\]

Again, we bring down the next term from the dividend, which is 0x (since there is no x term in the remaining dividend). We divide the highest-degree term of the new dividend (16x^2) by the highest-degree term of the divisor (x), resulting in a quotient term of 16x.

Multiplying the entire divisor (x - 2) by the new quotient term (16x) gives us 16x^2 - 32x. Subtracting this from the new dividend gives us:

\[16x^2 - 9 - (16x^2 - 32x) = 32x - 9.\]

Finally, we bring down the last term from the original dividend, which is -9. We divide the highest-degree term of the new dividend (32x) by the highest-degree term of the divisor (x), giving us a quotient term of 32.

Multiplying the entire divisor (x - 2) by the new quotient term (32) gives us 32x - 64. Subtracting this from the new dividend gives us:

\[32x - 9 - (32x - 64) = 55.\]

Now, since the degree of the new dividend (55) is less than the degree of the divisor (x - 2), we cannot continue the division further. Therefore, the final result of the polynomial long division is:

\[5x^4 - 3x^3 + 2x^2 - 9 = (x - 2)(5x^3 + 7x^2 + 16x + 32) + 55.\]

Thus, the quotient is \(q(x) = 5x^3 + 7x^2 + 16x + 32\) and the remainder is \(r(x) = 55\).

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The better buy for the shrimp based on the information will be the A. 2.24 pound bag.

From the information, Josh paid $11.96 for a 2.24 -pound bag of shrimp at one store and the following week, he paid $17.24 for a 3.12 -pound bag at another store.

The unit price when Josh paid $11.96 for a 2.24 -pound bag of shrimp will be:

= $11.96 / 2.24

= $5.34

The unit price when he paid $17.24 for a 3.12 -pound bag at another store will be:

= $17.24 / 3.12

= $5 53

Therefore, A is cheaper.

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Complete question

Josh paid $11.96 for a 2.24 -pound bag of shrimp at one store. The following week, he paid $17.24 for a 3.12 -pound bag at another store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.

Answer:

p + q + r is 12.

Step-by-step explanation:

Prime factors of a number is the expression of the number in terms of the product of its factors that are prime numbers only.

The prime factor of 686 = 2 x 7 x 7 x 7. Which can be expressed in the form;

p × \(q^{r}\) as 2 × \(7^{3}\).

So that, p = 2, q = 7 and r = 3.

p + q + r = 2 + 7  + 3

              = 12

Therefore, the sum of p, q, and r is 12.

The  laplace transform of f(x) = -2x-4 is L{-2x-4} = (8 - 2s - 4e^(-2s))/s

The Laplace transform of f(x) = -2x-4 for 0<=x and x<2 can be found using the formula:

L{f(x)} = ∫[0,∞) e^(-sx) f(x) dx

Substituting the given function and limits, we get:

L{-2x-4} = ∫[0,2) e^(-sx) (-2x-4) dx

= -2 ∫[0,2) x e^(-sx) dx - 4 ∫[0,2) e^(-sx) dx

Using integration by parts, we can evaluate the first integral as:

-2 ∫[0,2) x e^(-sx) dx = [-2xe^(-sx)] [0,2) + 2 ∫[0,2) e^(-sx) dx

= 2 (1 - e^(-2s))

Evaluating the second integral is straightforward:

-4 ∫[0,2) e^(-sx) dx = -4 [e^(-sx)/(-s)] [0,2)

= 4 (e^(-2s) - 1)/s

Therefore, the Laplace transform of f(x) = -2x-4 for 0<=x and x<2 is:

L{-2x-4} = 2 (1 - e^(-2s)) + 4 (e^(-2s) - 1)/s

Simplifying this expression, we get:

L{-2x-4} = (8 - 2s - 4e^(-2s))/s

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The sum of the series is 1/16. The given series is: ∑ [infinity] 5(−1)nπ2n + 1 / 32n + 1(2n + 1)!

To find the sum of the series, we can use the ratio test to check the convergence of the series. First, let's take the ratio of the (n+1)th term to the nth term: | a(n+1) / a(n) | = 5π2 / 32(2n + 3)(2n + 2)(2n + 1)

As n approaches infinity, the denominator of the ratio tends to infinity, making the ratio go to zero. Therefore, by the ratio test, the series converges.

Now, we need to find the sum of the series. To do this, we can use the formula for the sum of an infinite series: S = lim [n → ∞] Sn, where Sn is the nth partial sum of the series.

Using partial fractions, we can write the series as: 5π2 / 32n + 1 (2n + 1)! = 1 / 64 [ 1 / (n!) - 1 / (2n + 1)! ] - 5π2 / 32(2n + 3)(2n + 2)(2n + 1)

Substituting this expression into Sn and simplifying, we get: Sn = (1 - cos(π/4n+1)) / 32

Taking the limit as n approaches infinity, we get: S = lim [n → ∞] Sn = 1 / 16 Therefore, the sum of the series is 1/16.

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Answer:

211 months

Step-by-step explanation:

Feliks joins a local recreation center to play basketball the reception charges $20 annual fee plus additional $15 per month for the usage of the basketball courts Feliks prepays by writing a check for 3185 for how many months did he prepays for

Let the number of months that he prepays for be represented by m

Hence, we have the equation

$20 + $15 × m = $3185

Hence:

20 + 15m = 3185

Collect like terms

15m = 3185 - 20

15m = 3165

m = 3165/15

m = 211 months

The magnitude of the vertical force applied to the horizontal leg in the equivalent force system.

To determine the magnitude of the vertical force applied to the horizontal leg, we need to find the vertical component of the given force system. Looking at the diagram, we observe that the force system consists of a vertical force at point A and a horizontal force at point B. We can use trigonometry to find the vertical component of the force at point A.

Let's denote the magnitude of the force at point A as F_A and the angle it makes with the horizontal leg as θ. The vertical component of the force can be calculated using the formula: Vertical component = F_A * sin(θ).

Since the vertical component of the force should be equal to the force we are trying to find, we can set up the equation: Vertical component = F_vertical.

Now, we can substitute the given values into the equation and solve for F_vertical. Once we have the value, we can round it off to the nearest whole number, as instructed.

Please note that without specific values or angles provided in the problem statement or accompanying diagram, it is not possible to provide a precise numerical answer.

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Answer: \((f-g)(x)=6x^2-2x-6\)

Step-by-step explanation:

\(f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=\)

Take each function and subtract them.

\((f-g)(x)=(6x^2-4)-(2x+2)\)

The trick here is that the negative sign changes all of the signs inside the parentheses.

\((f-g)(x)=6x^2-4-2x-2\)

Combine like terms;

\((f-g)(x)=6x^2-2x-6\)

Given:

Product and quotient rule.

Required:

Explain the product and quotient rule with examples.

Explanation:

Product rule:

If two functions are in the multiple forms then the derivative of two functions is given by the formula:

where u = first function and v = second function.

Example

Quotient Rule:

If two functions are given in the quotient form or division form then the derivative of these functions using the quotient rule is given as:

Example:

Final Answer:

As explained in the explanation part.

The bank should sample 429 customers.

To determine the number of customers that should be sampled, we need to use the formula for sample size calculation in estimating a population mean. The formula is given by:

n = (Z * σ / E)^2

Where:

n = sample size

Z =  corresponding to the desired level of confidence (98% confidence corresponds to a z-score of approximately 2.33)

σ = population standard deviation

E = desired margin of error

Plugging in the given values, we have:

n = (2.33 * 300 / 89)^2

n ≈ 429

Therefore, the bank should sample approximately 429 customers.

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ANSWER

The percent error is 10.9 %

EXPLANATION

The percent error is:

In this problem, the approximate value is 16 and the exact value is 14.25:

Answer:

10.9%

Step-by-step explanation:

14.25/16 = 0.890625

0.890625 * 100 = 89.0625

1 - 89.0625 = 10.9375%