In triangle ABC, there is a right angle at B and the length of BC is twice the length of AB. In other words, BC = 2AB.
Square DEFB is drawn inside triangle ABC so that vertex D is somewhere on AB between A and B, vertex E is somewhere on AC between A and C, vertex F is somewhere on BC between B and C, and the final vertex is at B.
square DEFB is called an inscribed square. Determine the ratio of the area of the inscribed square DEFB to the area of triangle ABC.

Answer:

about 37.33

Step-by-step explanation:

90+22=112/3 is x

x=37.33

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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Answer:

answer is B

or

[  6  2  |  618  ]

[  1  1  | 165  ]

Step-by-step explanation:

did the test and got it right

The augmented matrix represents the situation is given as, \(\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}\). Then the correct option is B.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Let x be the number of the adults and y be the number of the children.

Adults were charged $6, and children were charged $2.

The total amount of money collected was $618.

6x + 2y = 618

A total of 165 people attended the opening night of a school play.

x + y = 165

The equation can be written in the form of matrix form. Then

\(\begin{bmatrix}6 & 2 | & 618 \\1 & 1 |& 165 \\\end{bmatrix}\)

Then the correct option is B.

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Answer:

(13/2, 6)

Step-by-step explanation:

to find the x value in the midpoint you add both xs and divide by 2

5+8= 13

13/2 = x

to find the y value in the midpoint you add both ys and divide by 2

10+2=12

12/2 = 6 =y

Answer:

(6.5,6)

Step-by-step explanation:

1. graph the points

2. make your triangle

3. add numbers to the triangle

4. do you midpoint formula which is m=(x1+x2/2, y1+y2/2)

5. put your numbers in

The smallest perimeter is P = 2L + 2W = 2(2) + 2(2) = 8 in, and the dimensions of the rectangle are 2 in by 4 in.

To find the smallest perimeter for a rectangle with an area of 4 in² using derivatives, we can set up an optimization problem. Let's denote the length of the rectangle as L and the width as W.

The formula for the area of a rectangle is given by A = L × W. Since we know the area is 4 in², we can write the equation as 4 = L × W.

To find the smallest perimeter, we need to minimize the perimeter function P = 2L + 2W while satisfying the area constraint.

We can rewrite the area equation as W = 4/L and substitute it into the perimeter equation to get P = 2L + 2(4/L).

Now, we find the derivative of the perimeter function with respect to L: \($dP/dL = 2 - \frac{8}{L^2}$\).

To find the minimum perimeter, we set the derivative equal to zero and solve for L:

\(2 - \frac{8}{L^2} = 0\\\\ 2 = \frac{8}{L^2}\\\\ L^2 = \frac{8}{2}\\\\ L^2 = 4\\\\ $L = \pm 2$\)

Since we're dealing with lengths, we take L = 2 (we discard the negative solution). Substituting this value back into the area equation, we find W = 4/L = 4/2 = 2

Therefore, the smallest perimeter is P = 2L + 2W = 2(2) + 2(2) = 8 in, and the dimensions of the rectangle are 2 in by 4 in.

Now, consider finding the largest perimeter. Since we're not given any constraints on the dimensions, the largest perimeter is unbounded and not defined for a fixed area of 4 in². As one side of the rectangle approaches infinity, the perimeter also approaches infinity. Therefore, there is no upper limit to the perimeter.

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Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

1 rational b/c terminating decimal

2 irrational b/c non-terminating decimal

3 rational b/c non-terminating decimal

4 rational b/c it in an integer, which are part of rational numbers

5 rational b/c non-terminating decimal

6 b) 7.625

Step-by-step explanation:

The probability of Jack taking 2 red candies is 3/28.

What do you mean by a union in probability?
The letter "U" (union) stands for "or." Specifically, P(AB) represents the probability of that event A or event B occurring. The sample points that are present in both event A and event B must be counted in order to determine P(AUB).

The new probability set made up of all the elements from both sets is created when two sets are joined. When two sets intersect, a new set is created that includes every element from both sets.

Solution Explained:

Given in the question,

A bag contains 3 red and 5 green candies.

Total possibilities is 3 + 5 = 8  

Jack takes a candy at random and eats it  

A/Q there are 3 red candies out of 8, the probability is given by,

P(R) = 3/8

Now there are 2 red candies out of 7, so the probability is given by,

P(R') = 2/7

The probability of both events is given by,

P(2R) = P(R) × P (R') = 3/8 × 2/7 = 3/28

Therefore, the probability of Tim taking 2 red candies is P(2R) = 3/28

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Answer:

y = 4

Step-by-step explanation:

Answer:

The equation of the line is 4

But it is also undefined

Step-by-step explanation:

-21,  -23, -27, -28, -28, -29 order them least to greatest and then find the middle if there is not a middle then put -27.5 as your answer for the median. For the mean add up all the number then you should get -156 then divide it by 6 which should give you -26 for the mean.  and for the mode you should get -28 as the one that occurs the most often.

mean: -26

median: -27.5

mode: -28

The solutions to the equation 1/x = x² + 7x are x = -6 and x = -8, and the inverse function of g(x) = (1/x) - 700 is f(x) = 1/(x + 700).

To solve the equation 1/x = x² + 7x, we can rearrange it to form a quadratic equation. Multiplying both sides by x gives us x = x² + 7x. Moving all terms to one side gives us x² + 6x = 0. Factoring out an x gives us x(x + 6) = 0. Setting each factor equal to zero gives us two possible solutions: x = 0 and x + 6 = 0, which gives x = -6.

However, we need to check for any extraneous solutions by substituting them back into the original equation. Substituting x = 0 gives 1/0 = 0² + 7(0), which is undefined. Therefore, x = 0 is not a valid solution. Substituting x = -6 gives 1/(-6) = (-6)² + 7(-6), which is true. Thus, the solutions to the equation are x = -6 and x = -8.

For the function g(x) = (1/x) - 700, to find the inverse function f(x), we swap x and y in the equation. This gives us x = (1/y) - 700. Solving for y, we get y = 1/(x + 700). Therefore, the inverse function of g(x) is f(x) = 1/(x + 700).

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Given

a) sin A = 0.4848

b) cos Y = 0.7431

c) cos X = 0.4226

d) tan B = 19.0811

To find:

Each angle measure to the nearest degree.

Explanation:

It is given that,

a) sin A = 0.4848

b) cos Y = 0.7431

c) cos X = 0.4226

d) tan B = 19.0811

That implies,

a) sin A = 0.4848.

Then,

b) cos Y = 0.7431.

Then,

c) cos X = 0.4226.

Then,

d) tan B = 19.0811.

Then,

Hence, the measure of each angle is,

a) A = 30°.

b) Y = 42°.

c) X = 65°.

d) B=87°.

Answer: 10.30

Step-by-step explanation:

Distance formula = \(\sqrt{(x_{2} +x_{1})^2+(y_{2} +y_{1})^2}\)

A (\(x_{1} ,y_{1}\)) = A(-3,-6) so \(x_{1} = -2\) and \(y_{1} =-6\)

B (\(x_{2} ,y_{2}\)) = B(-6, 1) so \(x_{2} = -6\) and \(y_{2} = 1\)

Plug in the values. You should get \(\sqrt{(-6 +-3)^2+(1 +-6)^2}=\sqrt{(-9)^2+(-5)^2}=\sqrt{81+25}=\sqrt{106}\)

≈10.30

Answer:

Step-by-step explanation:

The functions

Axis of symmetry is defined by x- value of the vertex which is calculated by a formula -b/2a

Ranking in ascending order is

Answer: Positive ÷ positive = positive.

Negative ÷ negative = positive.

Negative ÷ positive = negative.

Step-by-step explanation: The division of two positive integers results positive integer.

Positive (+) ÷ Positive (+) = Positive (+)

The division of two negative integers results positive integer.

Negative (+) ÷ Negative (+) = Positive (+)

The division of two different sign integers results negative integer.

L " (x - 1) dx integrals gives the volume of the solid generated by revolving R about the y-axis

The integration or antiderivative processes can be used to determine the curve's area under it. For this, we require the curve's equation (y = f(x)), the curve's axis boundary, and the curve's border limitations.

Let R be the area in the first quadrant enclosed by the hyperbolas xy = 1 and xy = 3, the lines y = x and y = 3x, and the lines xy = 1. The third quadrant is also constrained by those four curves, which we are ignoring. xy dA. = 1 v .

Let R be the region in the first quadrant bounded by the graph of y = Vx - 1. the x-axis, and the vertical line * = 10.

= L " (x - 1) dx integrals gives the volume of the solid generated by revolving R about the y-axis

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Answer:

i dont know

Step-by-step explanation:

i is spelt with i, and so on.  

The correct answer is D. The station's faulty prediction is a result of bias. Only people watching the news will respond, and their preference may differ from that of other voters. The sampling method may systematically produce samples that do not represent the population of interest.

The TV station's "Pulse-Poll" method of collecting data is not a random sample of the population of interest, which is the entire voter population. Instead, it only captures the opinions of people who are watching the evening news and choose to text in their vote. This group of people may not be representative of the entire voter population, as it only includes viewers of that specific TV station and those who are motivated enough to text in their vote. The sample is not representative of the population of interest, and therefore the results are biased and should not be used to make predictions about the election outcome.

This self-selected group of people may have different characteristics and opinions than the general voter population. For example, viewers of the specific TV station may have different political leanings than the general population, and those who are motivated enough to text in their vote may have different levels of political engagement. As a result, the sample is not representative of the population of interest, and therefore the results are likely to be biased.

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AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

-50+9x

Step-by-step explanation:

multiply the numbers                              -49+9x -1

calculate the difference(-49-1                   -50 + 9x

Preço de um sapato = $ 180,00

Desconto concedido se o sapato for comprado em dinheiro = 10%

Custo do calçado quando comprado à vista :

\( =\tt 180 - 10\% \: \: de \: \: 180\)

\( = \tt180 - \frac{10}{100} \times 180\)

\( =\tt180 - \frac{10 \times 180}{100} \)

\( = \tt180 - \frac{1800}{100} \)

\( =\tt 180 - 18\)

\(\color{plum} =\tt\$162.00\)

▪︎Assim, preço do sapato quando comprado em dinheiro = $ 162,00

Answer:

\(0.3 m = 12\)

Step-by-step explanation:

See comment for complete question

Given

30% in 12 minutes

Required

Time to complete the homework

From the question: m represents the required minutes

This implies that:

\(30\% * m = 12\)

Convert to decimal

\(0.30 * m = 12\)

\(0.3 m = 12\)

Hence:

The equation is: \(0.3 m = 12\)

Answer:

20 movies ; $70

Step-by-step explanation:

Company 1:

Monthly charge = $40 ; additional = 1.5 per movie

Let number of movies = x ; t = cost

Equation 1:

y = 40 + 1.5x

Company 2:

Monthly charge = $30

Additional = $2 per movie

Equation 2:

y = 30 + 2x

1) for equation 1 = equation 2

40 + 1.5x = 30 + 2x

40 - 30 = 2x - 1.5x

10 = 0.5x

x = 10/0.5

x = 20

Hence, 20 movies

B.)

y = 30 + 2x

y = 30 + 2(20)

y = 30 + 40

y = $70

Answer:

147

Step-by-step explanation:

The value of exponent x, if \($\sqrt[\text X]{81} = 3\), is 4, in the given equation.

Exponent is the process of expressing large numbers as powers, according to the definition. Accordingly, the exponent describes the number of times a number has been multiplied by itself. Using 6 as an example, multiply it by itself four times, or 6×6×6×6. 6⁴ can be used to represent this. In this case, the base is 6 and the exponent is 4. You can interpret this as 6 raised to the power of 4.

Exponents are represented by the symbol. The word "carrot" refers to this symbol (). 4 raised to a power of two, for instance, can be expressed as 4^2 or 4². Thus, 4^2 = 4 × 4 = 16. A few exponent-based numerical expressions are represented in the table below.

The value of x, if \($\sqrt[\text X]{81} = 3\)

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

Thus, The value of x, if \($\sqrt[\text X]{81} = 3\), is 4.

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Answer:

C and D

Step-by-step explanation:

–4x = –3   and   3 = 4x     is the answer.

(I did the quiz)

Answer:

(-6,2), (-7,-1), (0,0)

Step-by-step explanation: