The number is between 3,000 and 8,000.

The number is odd.

The digit in the one's place is the largest digit in our number system.

Two of the digits in the number are the same digit.

The difference between the hundred's digit and ten’s digit is zero.

The digit in the thousand's place is four less than the one's place.

The number is divisible by nine.

Neither. It’s equal.

Answer:

they are the same 3 over 4 is .75

Step-by-step explanation:

Answer:

The required integers are x=3 and y= -9

Step-by-step explanation:

Let one the integers be x and y

An integer is 15 more than 2 times another: x=15+2y

product of the two integers is -27: x*y=27

\(x=15+2y ---eq(1)\\x*y=-27----eq(2)\)

Solving both equations to find values of x and y

Putting value of x from equation 1 in equation 2

\((15+2y)*y=-27\\15y+2y^2=-27\\Rearranging:\\2y^2+15y-27=0\)

This can be solved using quadratic formula:

\($y=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\)

Putting values and finding factors

\($y=\frac{-(15)\pm\sqrt{(15)^2-4(2)(-27)}}{2(2)}$\\$y=\frac{-(15)\pm\sqrt{225+216}}{4}$\\$y=\frac{-(15)\pm\sqrt{441}}{4}$\\$y=\frac{-(15)\pm21}{4}$\\$y=\frac{-(15)+21}{4} \ or \ y=\frac{-(15)-21}{4}$\\$y=\frac{6}{4} \ or \ y=\frac{-36}{4}$\\$y=\frac{3}{2} \ or \ y=-9$\)

Since y is integer so, we consider only y= -9

The value of x will be:

\(x*y=-27\\x*(-9)=-27\\x=\frac{-27}{-9} \\x=3\)

So, the value of x is x=3

The required integers are x=3 and y= -9

A. The range of class 2 is greater than the range of class 1. True.

B. The median of class 1 is greater than the range of class 2. False.

A. The range of a data set is the difference between the highest and lowest values in the set. In the dot plots, the highest value in class 2 is 10 and the lowest value is 6, so the range of class 2 is 10-6=4.

The highest value in class 1 is 9 and the lowest value is 1, so the range of class 1 is 9-1=8. Therefore, the range of class 2 is greater than the range of class 1.

B. The median of a data set is the middle value when the data is arranged in increasing order. In the dot plots, the median of class 1 is 5 and the median of class 2 is 7. Therefore, the median of class 1 is not greater than the range of class 2.

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The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

The expression that gives the perimeter of the A'B'C is 2 (a + b + c).

Option B is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The side length of triangle A'B'C' is twice the length of the corresponding side length of triangle ABC.  

The perimeter of a triangle.

= Sum of all the three sides

Now,

The perimeter of the triangle ABC.

= a + b + c

Thus,

The perimeter of the triangle A'B'C'.

= 2 (a + b + c)

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Both methods of solving for lengths of a right triangle are effective. That being said, the Pythagorean theorem is well-known and only requires a student to know one equation (as well as where the legs/hypotenuse should be plugged in). The six trigonometric ratios are also helpful, and over time are something that students begin to recognize when looking at right triangles.

I believe that the Pythagorean theorem is more effective because of its simplicity and wide application. The six trigonometric ratios will not apply to every right triangle, and require more memorization.

Hope this helps!

Answer:

when whered then they

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

\(6 {c}^{2} + 2 {c}^{4} - c \\ \\ standard \: form = \red{ \boxed{ \bold{2 {c}^{4} + 6 {c}^{2} - c}}} \\ \\ degree = \purple{ \boxed{ \bold{4}}} \\ \\ leading \: coefficient = \orange{ \boxed{ \bold{1}}}\)

We have to solve this equation:

We can multiply the fractions when needed to make them have the same denominator.

Then, we can solve this as:

Answer: x = 7/2

Answer: 88

Step-by-step explanation:since we know 4 books are given each day and the total is 352 . 352 divided by 4 is 88

Answer:

the answer is 88

Step-by-step explanation:

352÷4=88

Answer:

D   51.3%

Step-by-step explanation:

Number of students who bought popcorn: 80

Total number of students: 156

percent = 80/156 * 100% = 51.3%

According to the solution we have come to find that, The expression \(\sqrt[3]{x^8}$.\) is equivalent to \(x^{(8/3)\) written using rational exponents.

What is expression?

In mathematics, an expression is a combination of symbols and values (numbers, variables, and operators) that represents a mathematical quantity or idea.

The expression \(\sqrt[3]{x^8}$.\) represents the cube root of x raised to the power of 8. To rewrite this expression using rational exponents, we need to remember that the cube root can be written as \(x^{(1/3)\).

So, substituting this into the original expression, we get:

\($\sqrt[3]{x^8}$\) = \((x^{(1/3)})^8\)

Now, we can apply the exponent rule for a power of a power, which tells us to multiply the exponents:

\((x^{(1/3)})^8\) = \(x^{(8/3)\)

Therefore, the expression \($\sqrt[3]{x^8}$\) is equivalent to \(x^{(8/3)\) written using rational exponents.

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This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

The image vertices of P' if the preimage is rotated 90° counter clockwise is P'(-5,1)

An image vertex refers to a point in the plane that results from applying a transformation to a given vertex. A transformation is a mathematical operation that changes the position, size, or shape of a figure.

The image vertices of P' when the preimage polygon PSRT is rotated 90° counter clockwise can be found by applying a transformation to each vertex of the polygon. This transformation involves switching the x- and y-coordinates of each vertex and negating the new y-coordinate.

(x, y) -> (-y, x)

For the vertex P(1, 5), we can apply this transformation to get the image vertex P':

P' = (-5, 1)

Similarly, we can apply the transformation to the other vertices of the polygon:

S(1, 0) -> S'(0, 1)

R(−2, −3) -> R'(3, -2)

T(−4, 2) -> T'(2, 4)

Therefore, the image vertices of P' are P'(-5, 1), S'(0, 1), R'(3, -2), and T'(2, 4).

This means that the rotated polygon has the vertices P', S', R', and T', which form a new polygon that is 90° counter clockwise rotated from the original polygon PSRT.

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Answer: 5/8

Step-by-step explanation:

To do this you have to add the weight of each purchase

\(\frac{1}{4} +\frac{3}{8}\)

But in order to add them together, there has to be a common denominator.

In order to do this, you can multiply both the numerator and denominator of 1/4 by 2 to get a denominator of 8 as seen below:

\(\frac{1}{4}*\frac{2}{2} = \frac{2}{8}\)

Now you can add them to get your final answer: When you are adding fractions with common denominators, simply add the numerators together and keep the denominator.

\(\frac{2}{8}+\frac{3}{8} = \frac{5}{8}\)

The probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 8/25 or 0.32 (rounded to the nearest millionth).

1. Calculate the total number of students on the Student Government Board by summing up the numbers in the table:

  Total Students = 2 + 2 + 2 + 4 + 0 + 3 + 4 + 2 = 19

2. Calculate the total number of graduate students on the Student Government Board:

  Total Graduate Students = 2 + 0 = 2

3. Calculate the total number of students living in on-campus housing:

  Total On-Campus Housing = 2 + 2 + 0 + 4 + 2 = 10

4. Calculate the probability of selecting a graduate student from the Student Government Board by dividing the total number of graduate students by the total number of students:

  Probability of Graduate Student = Total Graduate Students / Total Students = 2 / 19

5. Calculate the probability of selecting a student living in on-campus housing by dividing the total number of students in on-campus housing by the total number of students:

  Probability of On-Campus Housing = Total On-Campus Housing / Total Students = 10 / 19

6. Calculate the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing by summing up the probabilities from steps 4 and 5:

  Probability = Probability of Graduate Student + Probability of On-Campus Housing = 2 / 19 + 10 / 19

7. Simplify the fraction if necessary. In this case, the fraction cannot be simplified further, so the final probability is 2 / 19 + 10 / 19 = 12 / 19.

8. Convert the fraction to a decimal by dividing the numerator by the denominator: 12 / 19 ≈ 0.631578947, which rounds to 0.632 (rounded to the nearest thousandth).

9. Finally, express the probability as a fraction in lowest terms: 12 / 19 is already in lowest terms.

Therefore, the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing is 12/19 or approximately 0.632 (rounded to the nearest thousandth).

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Answer:

14

Step-by-step explanation:

The Euclidean distance between (1.0, 6.1) and (3.3, 8.7) is 3.48, rounded to 1 decimal place.

The Euclidean distance formula  is used to calculate the distance between two points in a two-dimensional plane. The formula for Euclidean distance between two points (x1, y1) and (x2, y2) is given by:

\(d = √(x2-x1)2 + (y2-y1)2\)

For our two points, (1.0, 6.1) and (3.3, 8.7), the Euclidean distance is:

\(d = √(3.3-1.0)2 + (8.7-6.1)2 \\ = √(2.3)2 + (2.6)2 \\ = √5.29 + 6.76 \\ = √12.05 \\ = 3.48\)

Therefore, the Euclidean distance between (1.0, 6.1) and (3.3, 8.7) is 3.48, rounded to 1 decimal place.

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The goal is to help the family find the common elements that bring them together, and to build a new narrative that is congruent with their spiritual beliefs and values.

Narrative Therapy is a therapeutic approach that aims to help families understand and overcome their challenges by exploring their stories and beliefs.

The first step in Narrative Therapy is to identify the collective stories, values, and beliefs of a family.

Once the family's collective stories have been identified, the therapist works with the family to help them rectify issues that separate them and rebuild a story that is congruent with their spiritual beliefs.

By doing this, the therapist helps the family to internalize these narratives and take ownership of their experiences, rather than feeling like they are being controlled by them.

Finally, Narrative Therapy aims to bring into the open the internalized narratives that have been identified.

By doing this, the family members can examine these narratives in a safe and supportive environment, and work together to find solutions to their challenges.

This process helps the family to build a stronger, more congruent story, and to develop a greater sense of unity and connection.

In mathematical terms, Narrative Therapy can be seen as a process of finding the congruent story of a family by exploring their collective narratives and beliefs.

Complete Question:

Overall, the goal of Narrative Therapy is to:

a. Explore the existential angst of family members and help the family rebuild a story that is congruent with the family's spiritual beliefs.

b. Identify the collective stories, values, and beliefs of a family and help family members rectify issues that separate the family.

c. Identify a family's externalized narratives and help them to internalize them.

d. Bring into the open these internalized narratives, so that they can be

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The simplified expression is (-1 - \(\sqrt{6}\)).

The correct answer is option C.

To simplify the expression (4\(\sqrt{3}\)- 3\(\sqrt{2}\)) ÷ (2\(\sqrt{3}\) - 3\(\sqrt{2}\)) by rationalizing the denominator, we can multiply both the numerator and denominator by the conjugate of the denominator.

The conjugate of (2\(\sqrt{3}\) - 3\(\sqrt{2}\)) is (2\(\sqrt{3}\) + 3\(\sqrt{2}\)).

Let's proceed with the calculations:

Numerator:

(4\(\sqrt{3}\) - 3\(\sqrt{2}\)) * (2\(\sqrt{3}\) + 3\(\sqrt{2}\)) = 8\(\sqrt{9 }\)+ 12\(\sqrt{6}\) - 6\(\sqrt{6}\) - 9\(\sqrt{4}\)

Simplifying the square roots:

= 8\(\sqrt{3}\) + 12\(\sqrt{6}\) - 6\(\sqrt{6}\) - 9 * 2

= 8\(\sqrt{3}\)+ 12\(\sqrt{6}\)- 12\(\sqrt{6}\) - 18

= 8\(\sqrt{3}\) - 18

Denominator:

(2\(\sqrt{3}\) - 3\(\sqrt{2}\)) * (2\(\sqrt{3}\)+ 3\(\sqrt{2}\)) = 4\(\sqrt{9 }\) - 9\(\sqrt{4}\)

Simplifying the square roots:

= 4\(\sqrt{3}\) - 9 * 2

= 4\(\sqrt{3}\) - 18

Simplified Expression:

(8\(\sqrt{3}\) - 18) / (4\(\sqrt{3}\) - 18)

Next, we can simplify the expression further by factoring out a common factor of 2 from both the numerator and denominator:

2(4\(\sqrt{3}\)- 9) / 2(2\(\sqrt{3}\) - 9)

The 2 in the numerator and denominator cancels out, leaving:

(4\(\sqrt{3}\) - 9) / (2\(\sqrt{3}\) - 9)

Therefore, after rationalizing the denominator, the simplified expression is (4\(\sqrt{3}\) - 9) / (2\(\sqrt{3}\) - 9).

Comparing the simplified expression with the given options:

The simplified expression (4\(\sqrt{3}\) - 9) / (2\(\sqrt{3}\) - 9) matches with option C: - 1 - \(\sqrt{6}\).

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The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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Answer:

$52

Step-by-step explanation:

$52. Since Alex pays for car insurance twice a year, divide the cost of each payment by 6, the number of months in half a year. This will tell you how much money Alex needs to set aside each month to cover his insurance costs.

312÷6=52

Answer:

The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

(0.4828 , 0.7704)

Step-by-step explanation:

Step(i):-

Given that the fisherman responds that, of the 75 fish he has caught, 47 have been Black carp

Sample proportion = \(\frac{x}{n} = \frac{47}{75} = 0.6266\)

We have to find the 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

Step(ii):-

solution:-

Given that the level of significance = 0.01

Z-score = 2.576

The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

\((p^{-} - Z_{0.01} \sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.01} \sqrt{\frac{p(1-p)}{n} })\)

\((0.6266 - 2.576 \sqrt{\frac{0.6266(1-0.6266)}{75} } ,0.6266 +2.576 \sqrt{\frac{0.6266(1-0.6266)}{75} })\)

After calculation, we get

(0.6266 - 0.1438 , 0.6266 +0.1438)

(0.4828 , 0.7704)

Final answer:-

The 99% confidence interval for the true proportion of fish that are Black carp in Lake Ontario

(0.4828 , 0.7704)

Using the z-distribution, it is found that the lower bound of a 99% confidence interval for the true proportion of fish that are Black Carp in Lake Ontario is 0.4829.

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, for the parameters, we have that:

The lower bound of the interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6267 - 2.575\sqrt{\frac{0.6267(0.3733)}{75}} = 0.4829\)

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Answer:

17 will be answer .....

Step-by-step explanation:

He gets 374 miles on 22 gallons ....

Amounts of miles per gallon is 374÷22

= now divide it and answer will come 17 ........

Daniel gets the car 17 miles per gallon

The calculation can be done as follows

Daniel drives the car for 374 miles

He uses 22 gallons of gas

The miles per gallon can be calculated as follows

= 374/22

= 17

Hence the answer is 17 miles per gallon

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