What is the length of segment TQ?

The frequency tree will be:

Tree imagination attached as image below.

This question can be answered by calculating the ratio of boys to girls and the number of people with and without vouchers.

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Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Categorical data are the sort of variable that would need utilizing a population proportion hypothesis test rather than a population mean hypothesis test.

Data that cannot be easily gathered by counting is referred to as categorical data, which is another name for qualitative data. Hypothesis testing may be used with this type of data. Data are used in hypothesis testing to draw conclusions about population characteristics.

The findings are reached after first proposing a null hypothesis. Therefore, for qualitative or categorical data, a hypothesis test of the population is performed rather than a numerical test of the population mean.

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The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.

First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.

Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.

Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:

1/2 = 3/6

x/6

Now we need to find the value of x that makes the sum of the fractions equal to 19/3:

3/6 + x/6 = 19/3

To solve for x, we can multiply both sides by 6:

3 + x = 38/3

Then, we can subtract 3 from both sides:

x = 29/3

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Here are the polynomials that satisfy the given conditions:a. Polynomial of lowest degree with zeros of multiplicity 2 and multiplicity 1 and with f(0) = 15To create a polynomial of degree two with a zero of multiplicity 2 and another zero of multiplicity 1, we must have a quadratic of the following form:(x - a)(x - a)b = x^2 - (2a) x + a^2.

We should have another factor of the form (x - b), so the quadratic can be multiplied by this linear factor, giving a cubic function:f(x) = k(x - a)^2 (x - b)We are told that the function passes through the point (0, 15), so we can use this information to figure out the value of k. f(0) = 15k(a)(-b) = 15Then the cubic polynomial with zeros of multiplicity 2 and 1 and with f(0) = 15 is: f(x) = 5x^3 - 25x^2 + 0x + 0b. Polynomial of lowest degree with zeros of -2 (multiplicity 1), 3 (multiplicity 2), and with f(0) = -54 . Similar to the first case, let us create a quadratic first: (x + 2)(x - 3)^2Then multiplying the quadratic by (x - b).

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A) The equation relates the number of cups of flour to the number of pound cakes that the bakery makes is f = 2.75p

B) Cups of flour are needed for 14 cakes is 38.5

A) The number of cups of flour, f, that a bakery needs for the number of pound cakes that they make, p is directly proportional to each other which can be written in form ,

f/p = 8.25/3

f = (8.25/3)×p

f = 2.75 p

The equation forms is f = 2.75p

B) Cups of flour are needed for 14 cakes

Here p = 14

by putting the value in the equation we get ,

f = 2.75(14)

f = 38.5

hence , cups of flour are needed for 14 cakes is 38.5

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Put all the point and equation on graph we get parabola.

What is a parabola in simple terms?

according to question we follow the steps and get parabola.

f(x) = x² - 5x + 6

eq   x= 1

B = ( 2.5 , - 2.5)

A = (1 ,2 )

C = ( 2,0)

D = ( 3,0)

E = ( 0,6)

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Answer:

Step-by-step explanation:

45.396

tenth place is 3

on the right of 3 is 9. 9 is higher than 5. Therefore 3 becomes a 4.

the answer is  45.4

The dollar interval would be ± 6.70 to present in order to obtain a probability of 0.500.

What is probability?

Probability is a branch of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of error in research by using probability.

z value for the probability of 0.5  is 0.67

standard error = sd/√n = 80/√64 =10

dollar interval = z*se

                      = 0.67*10

                       =6.70

Hence, the dollar interval would be ±6.70.

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The correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta), where theta is the angle between the two vectors.

The vector product of two vectors a and b is defined as c = a x b = |a| |b| sin(theta) n, where n is the unit vector perpendicular to both a and b in the direction given by the right-hand rule. Since c = a x b, the magnitude of c can be expressed as |c| = |a| |b| sin(theta), where theta is the angle between a and b. Therefore, the correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta).

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The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".

A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.

First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.

The word more will be represented for the add symbol (+). Thus,

the algebraic expression is 6+7x.

The expression 3*(n+8) can be represented for the sentence:

The triple of the sum between the numbers n and 8.

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Answer:

About 15 minutes

Step-by-step explanation:

It takes her 6 minutes to read 20 pgs. If she reads 20 more pages (which will be 40 now) she will have been reading for 12 minutes. This leaves you with 7 pages left, about 3 or 4 minutes.

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The Correct choice is :

Answer: c

Step-by-step explanation: I’m sm0rt :0

Answer:

C

Step-by-step explanation:

A. B . C

The equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.

To find the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection, we need to determine the derivative of the function and evaluate it at the point of inflection. First, let's find the derivative of y with respect to x: dy/dx = 3x^2 + 6x. The point of inflection occurs where the second derivative of the function changes sign. Taking the derivative of dy/dx, we have: d^2y/dx^2 = 6x + 6. Setting d^2y/dx^2 equal to zero and solving for x, we find: 6x + 6 = 0; x = -1.  At x = -1, the point of inflection is (-1, y) on the original function. To find the slope of the tangent line at this point, we substitute x = -1 into the derivative: dy/dx = 3(-1)^2 + 6(-1) = -3. So, the equation of the line tangent to the function at its point of inflection is: y = mx + b, where m is the slope and b is the y-intercept. Plugging in the values, we have: y = -3x + b

To find b, we substitute the coordinates of the point of inflection (-1, y):y = -3(-1) + b; y = 3 + b. Since the point of inflection lies on the line, we can substitute the y-value and solve for b: 3 + b = x^3 + 3x^2 + 2; b = -6. Therefore, the equation of the line tangent to the function y = x^3 + 3x^2 + 2 at its point of inflection is: y = -3x - 6.

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Answer:

Step-by-step explanation:

Pieces = 40/n

Pieces =  the number of pieces each student will get

n = the number of students in the class.

n

n has an upper limit of 40. Each student will get exactly 1 piece of candy

Other values of n could be

1 2 4 8 5 10 20 40

Answer:

2 candie each because if there 20 and 40 candie it well be 2:)`

The correct answer is options 1 and 4: w/x divided by y/z is equivalent to X/w x z/y.

To determine which of the given options is equivalent to w/x divided by y/z, let's simplify each option step by step:

w/x divided by y/z:

(w/x) / (y/z) = (w/x) * (z/y) = wz / xy

X/w x y/z:

(x/w) * (y/z) = xy / wz

X/w x z/y:

(x/w) * (z/y) = xz / wy

W/x x z/y:

(w/x) * (z/y) = wz / xy

X/w divided by z/y:

(x/w) / (z/y) = (x/w) * (y/z) = xy / wz

Comparing the simplified expressions, we can see that options 1 and 4 both simplify to wz / xy, while options 2, 3, and 5 do not.

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Answer:

7, 8, 8,7,8,9

Step-by-step explanation:

brainliest plss!!<3

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

The probability that Ella's 10th roll is her last roll is 31/108, or approximately 0.2870.

To find the probability that Ella's 10th roll is her last roll, we need to consider the following:

The last roll must be a repeat of the previous roll, so the previous roll cannot be the first roll or the 6th roll, because there is no previous roll in those cases.

Ella must not have rolled the same number on consecutive rolls before her 10th roll.

The probability of rolling the same number on consecutive rolls is 1/6, so the probability of not rolling the same number on consecutive rolls is 5/6.

Let's break down the probability of Ella's 10th roll being her last roll by considering the different cases:

Case 1: Ella's 8th roll is the first roll of a pair, and her 9th roll is the second roll of that pair.

In this case, Ella cannot roll the same number on consecutive rolls, so the probability of her 10th roll being her last roll is simply 1/6.

Case 2: Ella's 8th roll is the first roll of a pair, but her 9th roll is not the second roll of that pair.

In this case, Ella must roll a number different from her 9th roll, and then roll the same number as her 9th roll on her 10th roll.

The probability of rolling a different number on her 9th roll is 5/6, and the probability of rolling the same number on her 10th roll is 1/6.

Therefore, the probability of her 10th roll being her last roll in this case is (5/6)*(1/6) = 5/36.

Case 3: Ella's 8th roll is not the first roll of a pair, but her 9th roll is the second roll of a pair.

In this case, Ella must roll a number different from her 8th roll, and then roll the same number as her 8th roll on her 9th roll.

The probability of rolling a different number on her 8th roll is 5/6, and the probability of rolling the same number on her 9th roll is 1/6.

Therefore, the probability of her 10th roll being her last roll in this case is (5/6)*(1/6) = 5/36.

Case 4: Ella's 8th roll is not the first roll of a pair, and her 9th roll is not the second roll of a pair.

In this case, Ella must roll a number different from both her 8th and 9th rolls, and then roll the same number as her 9th roll on her 10th roll.

The probability of rolling a different number on her 8th roll is 5/6, the probability of rolling a different number on her 9th roll, given her 8th roll, is 4/6, and the probability of rolling the same number as her 9th roll on her 10th roll is 1/6.

Therefore, the probability of her 10th roll being her last roll in this case is (5/6)(4/6)(1/6) = 5/54.

To find the total probability, we need to sum the probabilities from each case:

1/6 + 5/36 + 5/36 + 5/54 = 31/108.

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The difference in interest earned per year when depositing x dollars in account B instead of account A is 0.005x dollars.

To calculate the difference in interest earned per year between account B and account A, we need to consider the interest rates of both accounts and the initial deposit amount.

Let's assume the initial deposit amount is x dollars.

For account A, with a simple annual interest rate of 3%, the interest earned per year can be calculated as:

Interest_A = (3/100) * x = 0.03x dollars

For account B, with a simple annual interest rate of 3.5%, the interest earned per year can be calculated as:Interest_B = (3.5/100) * x = 0.035x dollars

To find the difference in interest earned per year, we subtract the interest earned in account A from the interest earned in account B:

Difference = Interest_B - Interest_A = 0.035x - 0.03x = 0.005x dollars

Therefore, the difference in interest earned per year when depositing x dollars in account B instead of account A is 0.005x dollars.

This means that for each dollar deposited, account B earns an additional 0.005 dollars of interest compared to account A per year.

It's important to note that this calculation assumes simple interest and doesn't take into account compounding or any other fees or factors that may affect the actual interest earned.

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Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

Answer:

5,212.5 rupees

Step-by-step explanation:

If price of 1 kg is 104.25

multiply 50 by 104.25

equals 5,212.5 rupees

Answer:

5212.50 rupees

Step-by-step explanation:

We can use a ratio

1 kg             50 kg

-----------  = ---------------

104.25            x

Using cross products

1x = 50 * 104.25

x =5212.50 rupees

Answer:

g(-2) = -10

Step-by-step explanation:

Here we're "evaluating g(-2)," that is, finding the value of the function g(x) when x = -2.

Substitute -2 for each instance of x in g(x) = 2x^2 + 7x - 4:

g(-2) = 2(-2)^2 + 7(-2) - 4  (be sure to use parentheses around -2)

or  g(-2) = 2(4) - 14 - 4, or:

g(-2) = -10

Answer:

473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

Answer:

Step-by-step explanation:

V = 1/3πr^2h

Putting values

V = 1/3(3.14)(4)^2(3)

= 50.24

The scale factor from A to B is 5/3 and the value of r is 33/5

From the figure, we have the following corresponding sides

A : B = 5 : 3

Express as fraction

B/A = 3/5

This means that, the scale factor from A to B is 5/3

From the figure, we have the following corresponding sides

A : B = 11 : r

Express as fraction

B/A = r/11

Recall that:

B/A = 3/5

So, we have:

3/5 = r/11

Multiply by 11

r = 33/5

Hence, the value of r is 33/5

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The amount of the liquidating dividend is $140,000. A liquidating dividend is a distribution to shareholders that exceeds the company's retained earnings.

Therefore, in order to calculate the liquidating dividend, we need to determine the amount of retained earnings as of January 1, 2018.

Retained earnings = $400,000

The board of directors declared a dividend of $540,000, which is more than the amount of retained earnings. This means that $400,000 of the dividend will be classified as a regular dividend, and the remaining $140,000 will be classified as a liquidating dividend.

Therefore, the amount of the liquidating dividend is $140,000.

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In this question, we given a piece-wise function, that has different definitions depending on the domain.

Evaluate the function at x = 0.

The exercise asks for us to evaluate the function at \(x = 0\)

We have to look at the definition, and see which definition includes \(x = 0\). The equal sign at \(x = 0\) is on the second definition, that is:

\(f(x) = 1, 0 \leq x < 2\)

Thus, at \(x = 0\), the value of the function is 1, and the correct answer is given by option A.

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