What is the term for two fractions that are equal to each other?

True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

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Answer:

I'd like to say the answer is C

Using the binomial distribution, we have that:

a) 0.4168 = 41.68% probability that he gets through his career without a serious  cycling accident.

b) Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.

For each day, there are only two possible outcomes. Either there is an accident, or there is not. The probability of there being an accident on a day is independent of any other day, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

Item a:

The probability is P(X = 0), thus:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{8750} = 0.4168\)

0.4168 = 41.68% probability that he gets through his career without a serious  cycling accident.

Item b:

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{8750,0}.(0.0001)^{0}.(0.9999)^{1250} = 0.8825\)

Considering that the probability of an accident on a given day is independent of any other day, now just the last five years are considered, thus, the probability changes and there is a 0.8825 = 88.25% probability that he will get through his entire career without an accident the same.

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Answer: The amount budgeted for Auto Expenses is $18,200

Step-by-step explanation:

13 Percent of $140,000 is $18,200

0.13 times 140,000 :-)

Answer:

assuming you want to get rid of the radical here so, 25/2

Step-by-step explanation:

raise the whole fraction to the second power, and the radical will cancel out, then solve 5^2 which is 25. end up with 25 over 2

Answer: =−13 1/3

Step-by-step explanation:

The pedagogical tool to support the development of students' understanding that fractions are numbers and that they expand the number system beyond whole numbers is number line.

What is meant by pedagogical tool?

In math, pedagogical tool refers designed to convey important lessons and allow people to improve their understanding of a problem or undertaking.

Here we need to find the research recommends that teachers use the following pedagogical tool to support the development of students' understanding that fractions are numbers and that they expand the number system beyond whole numbers.

While we looking into the given question, here we need to find the tool that is used to find the development of students' understanding that fractions are numbers and that they expand the number system beyond whole numbers that is none other than number line because it uses the visual representation of the number that gives better understanding of number.

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Since, P(male)*P(fail)= 0.33 and P(male and fail) = 0.33 , the two results are equal and independent.

What is Probability?

The possibility of outcome of any event is found by probability. as for an example whenever we toss a coin in the air, then what is the possibility that we get a head? Only based on possible outcomes we can answer this question. It is that part of events which deals with the results of random events. We can basically call it as prediction of any event that is based on study of previous record or the type and no of possible outcome.

Probability of happening of an event= Total no of favorable outcomes/                          Total no of outcomes

Here in this question;

P(male/fail)= P(male and fail)/P(fail)

                 = \(\frac{8/123}{(8+16)/123}\)

                 =\(\frac{8}{24} = \frac{1}{3} = 0.33\)

P(male) = \(\frac{33+8}{123} = \frac{41}{123} =\frac{1}{3} = 0.33\)

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The Relative Maximum will be (7, 50) and minimum is (12, 0).

We have the graph showing average low temperatures in international falls minnesota.

From the graph the maximum y coordinate is 50.

So, the Relative Maximum will be (7, 50).

and, the minimum y coordinate is 0.

So, the Relative minimum is (12, 0)

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If the value of a in the quadratic function f f(x) = ax² + bx + c is 1/2, the function will; open up and have a minimum

We are told that the value of a in the quadratic function f(x) = ax² + bx + c is 1/2. Thus, the quadratic function is expressed as;

f(x) = ¹/₂x² + bx + c

If the signs of the coefficients of x² and x are equal, then the graph axis of symmetry will be on the left hand side of the y-axis. This is because the axis of symmetry is expressed as; x = -b/2a

Now, if the sign of the constant term is positive, then it means that the y-intercept is positive. This is because the y-intercept is the value at which x = 0 which is f(0)

Now, if the discriminant is negative, then it means that the quadratic graph will not touch the x-axis. This is because the graph touches x-axis when f(x) = 0, but the solution will be imaginary and as such it doesn't touch on the graph.

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Complete question is;

If the value of a in the quadratic function f(x) = ax² + bx + c is 1/2 the function will:

open down and have a minimum

open up and have a maximum

open down and have a maximum

open up and have a minimum

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

\(x = \frac{2x + 8}{x} \)

\( {x}^{2} = 2x + 8\)

\( {x}^{2} - 2x - 8 = 0\)

\((x - 4)(x + 2) = 0\)

\(x = 4\)

or

\(x = - 2\)

The equation of the line going through (-6, 0) and (0, -3) is y = -(1/2)x - 3

The equation of the line going through (0, 3) and (-4, -5) is y = 2x + 3

An equation is an expression that shows the relationship between two or more variables and numbers.

The equation of the line going through (-6, 0) and (0, -3) is:

y - 0 = [(-3 - 0) / (0- (-6)](x - (-6))

y = -(1/2)x - 3

The equation of the line going through (0, 3) and (-4, -5) is:

y - 3 = [(-5 - 3) / (-4 - 0)](x - 0)

y = 2x + 3

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Answer:

2

-1/2

Step-by-step explanation:

Answer:

Triangle JKL is congruent to triangle

✔ ABC

.

Side LK corresponds to sides

✔ WV and CB

.

Angle JLK corresponds to angles

✔ UWV and ACB

.

Step-by-step explanation:

just did it on edge 2020

Triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC.

Angle JLK corresponds to angles BAC.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

As per the given information,

ΔJKL ≅ ΔUVW: This means that triangle JKL is congruent to triangle UVW. Congruent triangles have the same shape and size, so their corresponding angles and sides are equal in measure and length, respectively.

ΔUVW ≅ ΔABC: This means that triangle UVW is congruent to triangle ABC.

Combining these two pieces of information, we can conclude that:

ΔJKL ≅ ΔABC: This is because if two triangles are congruent to the same triangle, then they must be congruent to each other. Therefore, triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC: Corresponding sides of congruent triangles are equal in length. In this case, side LK corresponds to side VW (since JKL ≅ UVW), which corresponds to side BC (since UVW ≅ ABC).

Angle JLK corresponds to angles BAC: Corresponding angles of congruent triangles are equal in measure. In this case, angle JLK corresponds to angle UVW (since JKL ≅ UVW), which corresponds to angle BAC (since UVW ≅ ABC).

So, we can say that triangle JKL is congruent to triangle ABC, side LK corresponds to sides BC, and angle JLK corresponds to angles BAC.

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Using then given formula replace the letters with the given information.

25 miles = r x 1.5 hours

To find r divide both sides by 1.5:

R = 25/1.5

R = 16.7 miles per hour

The answer would be B.

The final value of the integral as   \($\frac{191}{60}$\)   which represents the total "volume" of \($f(x,y)=7x+6y$\) over the region\($D$.\)

The given double integral can be rewritten as:

\(\iint_D 7x \, dA + \iint_D 6y \, dA\)

where  \(D$ is the region bounded by $y=\sqrt{x}$ and $y=x^2$.\)

To evaluate this integral, we first check the intersection points of the two curves:

\(\sqrt{x} = x^2 \quad \Right arrow \quad x = 0 \text{ or } x =1\)

Therefore, the region  D is shown in the figure below:

region D

Next, we can choose to integrate with respect to \(x$ or $y$\). Since the lower boundary of  D is given by \($y=\sqrt{x}$\)which is a function of \(x$,\) we choose to integrate with respect to x first:

\(\begin{aligned} \iint_D 7x \, dA &= \int_0^1\int_{\sqrt{x}}^{x^2} 7x \, dydx \\ &= \int_0^1 7x(x^2-\sqrt{x}) \, dx \\ &= \frac{56}{15} \end{aligned}\)

Similarly, we can evaluate the other integral:

\(\begin{aligned} \iint_D 6y \, dA &= \int_0^1\int_{\sqrt{x}}^{x^2} 6y \, dydx \\ &= \int_0^1 6\left(\frac{x^4-\sqrt{x}}{2}\right) \, dx \\ &= \frac{49}{20} \end{aligned}\)

Therefore, the value of the given double integral is:

\(\iint_D (7x+6y) \, dA = \frac{56}{15}+\frac{49}{20} = \frac{191}{60}\)

In summary, we evaluated the given double integral by splitting it into two integrals, integrating with respect to x  first and then with respect to y , over the region bounded by \(y=\sqrt{x}$ and $y=x^2$\). By doing so, we obtained the final value of the integral as \(\frac{191}{60}$,\) which represents the total "volume" of \($f(x,y)=7x+6y$\) over the region D.

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The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

3000

5000

7000

Step-by-step explanation:

Answer:

a is 3000

b is 5000

c is 7000

Step-by-step explanation:

just make each thousand rounds up or down. if the hundreds number is closer to the next thousand then round up and if the hundreds are closer to the past thousand then round down

Divide the cost for 4 nights by 4 to get cost per night.

260/4 = 65 per night.

Multiply cost per night by 7:

65 x 7 = 455

It would cost $455 for 7 nights.

Answer:

Null Hypothesis, \(H_0\) : \(\mu\) = 4.73  

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 4.73

Step-by-step explanation:

We are given that a group of 75 college students from a liberal arts college were randomly sampled and asked about the number of alcoholic drinks they have in a typical week.

In particular, the dean of students, who initiated this study, would like to check whether the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general, which is estimated to be 4.73.

Let \(\mu\) = mean number of alcoholic beverages that students in the college drink in a typical week.

So, Null Hypothesis, \(H_0\) : \(\mu\) = 4.73      {means that the mean number of alcoholic drinks that students at his college have in a typical week does not differs from the mean of U.S. college students in general}

Alternate Hypothesis, \(H_A\) : \(\mu\neq\) 4.73     {means that the mean number of alcoholic drinks that students at his college have in a typical week differs from the mean of U.S. college students in general}

The test statistics that can be used here is One-sample t test statistics or One-sample z test statistics depending on whether population standard deviation is given or not.

Hence, this is the hypothesis that are being tested in this problem.

Answer:

Step-by-step explanation:

According to the equation the given all necessary math work are:

\(A: (x -f)^2 +(y -g)^2 = h^2\)

B:  domain: [-5, 11]; range: [-9, 7]

C:  yes, inside

The hypοtenuse's square is equal tο the sum οf the squares οf the οther twο sides if a triangle has a straight angle (90 degrees), accοrding tο the Pythagοras theοrem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypοtenuse BC are all used in this equatiοn. The lοngest side οf a right-angled triangle is its hypοtenuse, it shοuld be emphasized.

Part A:

Use οf the Pythagοrean theοrem gets yοu tο the equatiοn fοr a circle in essentially οne step:

sum οf squares οf sides = square οf hypοtenuse

\((x -f)^2 +(y -g)^2 = h^2\) . . . . . . circle cantered οn (f, g) with radius h

Part B:

The circle will be defined fοr values οf x in the dοmain f ± h, and fοr values οf y in the range g ± h.

dοmain: 3 ± 8 = [-5, 11]

range: -1 ±8 = [-9, 7]

Part C:

The distance frοm pοint (10, -4) tο (f, g) is ...

\(h^2 = (10 -3)^2 +(-4 -(-1))^2\)

\(h^2 = 7^2 +(-3)^2 = 49 +9 = 58\)

h = √58 < 8 . . . . the distance tο the pοint is less than h=8.

The pοint is inside the circle.

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The probability that a randomly selected point within the square falls in the red shaded square is 1/16

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.

Probability = sample space /total outcome

sample space is the area of the red shaded square and the total outcome is the big square.

Area of red shaded square = 1 × 1 = 1unit²

area of the big square = 4 × 4 = 16 units²

Therefore the probability that a point selected falls on the red shaded square

= 1/16

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Answer:

≈9.64 gallons

Step-by-step explanation:

To solve, we can figure out how many quarts are in a minute and use that to figure out how many quarts are in an hour. Then, we can convert quarts to gallons.

4.5 quarts = 7 minutes

First, we can find how many quarts equal 1 minute. To do this, we can divide both sides by 7 because anything divided by itself equals 1

4.5/7 quarts = 1 minute

Next, we want to figure out how many quarts go into 60 minutes, or 1 hour. To do this, we can multiply both sides by 60 because 1 * 60 = 60

4.5 * 60 / 7 quarts = 60 minutes = 1 hour

We now know how many quarts are in an hour, so we can now convert quarts to gallons

4 quarts = 1 gallon

divide both sides by 4

1 quart = 1/4 gallons

To get from quarts to gallons, we can divide by 4, so we have

(4.5 * 60 / 7)/4 = 4.5 * 60 / 28

≈9.64 gallons

Answer:

14 songs on the final CD.

Answer:

the answer is 6 trust. poopoo