In a game of chance, players spin the pointer of a spinner with six equal-sized sections.
The numbers are 1 4 4 1 2 4 1 Which outcome has a frequency closest to its expected frequency?

Answer choices
1
2
3
4
Hurry

Answer:

3.51

Step-by-step explanation:

9%=0.09 as a decimal

0.09*39=3.51

The equation of the line in slope-intercept form is y= 2x -6.

The slope-intercept form of a line is given by y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 2, m= 2. Substitute m= 2 into y= mx +c:

y= 2x +c

Let's find the coordinate in which the line intersects the line 2x -3y= 6. Point of intersection refers to the point at which two lines cuts through each other i.e., the point lies on the graph 2x -3y= 6 and the line of interest.

2x -3y= 6

When x= 3,

2(3) -3y= 6

6- 3y= 6

3y= 6 -6

3y= 0

Divide both sides by 3:

y= 0

Coordinate that lies on the graph is (3, 0).

Substitute the point into the equation and solve for c:

y= 2x +c

When x= 3, y= 0,

0= 2(3) +c

0= 6 +c

c= -6

Substitute the value of c back into the equation:

Thus, the equation of the line in slope-intercept form is y= 2x -6.

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Answer:

Step-by-step explanation:

false that is not at all true

Answer:

A= $6.10

Step-by-step explanation:

1 book = $2.50

4 books = $10.00

1 bookmark = $1.95

2 bookmarks = $3.90

3.90 + 10.00 = $13.90

20.00 - 13.90 = $6.10

Given that:

The triangle ABC and its image are shown below.

Step-by-step explanation:

In the below figure triangle A'B'C' is the image of triangle ABC.

We need to sketch a possible line that triangle ABC could translate along to create its image.

So, connect the corresponding vertices. So, the required lines are AA', BB' and CC '.

In translation, each point of the figure is shifted from point to another point in  a particular distance and direction.

Point A, B and C are shifted to A' B' and C' respectively. So AA', BB' and CC' represents the distance and direction of translation.

From the figure it is clear that triangle ABC shifted 10 units right and 6 units down.

Volume:-

A. N, B ≥ 0 (non-negativity constraint)

B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

C.  You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(a)

The linear programming model to find the best investment strategy for this client can be formulated as follows:

Maximize: 0.09N + 0.08B

Subject to:

N + B ≤ 85 (maximum investment of $85,000)

N ≤ 55 (maximum investment of $55,000 in the internet fund)

6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)

N, B ≥ 0 (non-negativity constraint)

(b)

To solve the problem using Excel Solver, you can set up the following spreadsheet model:

Cell A1: N (amount invested in the internet fund)

Cell B1: B (amount invested in the Blue Chip fund)

Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)

Constraints:

Cell A2: ≤ 85

Cell B2: ≤ 85

Cell C2: ≤ 55

Cell D2: ≤ 410

The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.

Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.

The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

(b)

For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 450

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(d)

For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 320

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

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The result of dividing (3x^3 + 12x^2 + 16x + 4) by (x + 5) using synthetic division is 3x^2 - 3x + 1.

To perform synthetic division, we set up the division in the following format:

         -5 |   3    12    16    4

              -------------------

                0    -15   -15  -5

The first coefficient, 3, is brought down. Then, we multiply -5 (the divisor) by 3 and place the result, -15, below the next coefficient. Adding 12 and -15 gives -3, which is then multiplied by -5 and placed below the next coefficient. Continuing this process, we obtain the final remainder, -5.

The result of the division is the quotient formed by the coefficients in the second row: 3x^2 - 3x + 1.

In conclusion, the result of dividing (3x^3 + 12x^2 + 16x + 4) by (x + 5) using synthetic division is 3x^2 - 3x + 1.

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Kristen can visually illustrate the relationship between the angles of the individual triangles and demonstrate that the sum of the angles within each triangle is 180 degrees.

To demonstrate that all interior angles in a triangle add up to 180 degrees, Kristen should arrange the three identical triangular pieces in a specific way.

Kristen should arrange the three triangular pieces such that they form a straight line or a straight angle. In other words, she should align the three vertices of the triangles in a straight line.

When the triangular pieces are arranged in this manner, the interior angles of the individual triangles will combine to form a straight angle, which measures 180 degrees. This alignment visually represents the concept that the interior angles of a triangle add up to 180 degrees.

By arranging the pieces in a straight line, Kristen can visually illustrate the relationship between the angles of the individual triangles and demonstrate that the sum of the angles within each triangle is 180 degrees.

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Answer:

g(x) = (x - 4) (x + 5)

Step-by-step explanation:

(x - 4) (x + 5)

= x² + 5x - 4x - 20

= x² + x  - 20

So, the answer is g(x) = (x - 4) (x + 5)

Answer:

No, the correct answer is -4

Step-by-step explanation:

-2 x (5 - 3)

(5 - 3)= 2

-2 x 2= -4

-4

Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4

From the question,

The expression Chase simplified is–2 ×­ (5 – 3).

First, we will simplify this expression properly and then check if Chase is correct or not.

To simplify the expression –2 ×­ (5 – 3)

First, we will evaluate the expression in the bracket

The expression in the bracket is 5 - 3

5 -3 = 2

Therefore, the expression –2 ×­ (5 – 3) becomes

–2 ×­ (2) = –2 ×­ 2

Now, we will complete the simplification by evaluating –2 ×­ 2

–2 ×­ 2 = -4

∴ Simplifying the expression –2 ×­ (5 – 3) gives -4

Now, to determine if Chase is correct or not, we will compare answers.

Since Chase found –2 ×­ 2 = 4, Chase is not correct because –2 ×­ 2 = –4. He did not add the negative sign.

Hence, Chase is not correct because the product of -2 and 2 is not 4 but the product of -2 and 2 is -4

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Answer: 24$

Step-by-step explanation:

Answer:

Step-by-step explanation:

40*25%= 10 off

40-10= $30.00 sale price

Answer:

x; y

Step-by-step explanation:

ALL KITES ARE RECTANGLES

Answer:All kites are rectangles.

Step-by-step explanation: Just did the quiz

The next step in constructing a segment congruent to AB is B. Open the compass to the length of AB.

The next step in constructing a segment congruent to AB is to open the compass to the length of AB. This is because the compass is a tool that allows us to measure and transfer lengths accurately.

By opening the compass to the length of AB, we can then transfer that length to a different location, such as point C.

This will allow us to create a line segment that is congruent to AB and has the same length as AB. Measuring the length with a straightedge or drawing an arc between B and C using the compass may not accurately transfer the length of AB to point C, as it may be difficult to ensure that the length is transferred exactly.

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Answer: The actual heart is approximately 6.125 or rounded to 6

Step-by-step explanation: Divide the scale model 196 inches by 32 (the scale)

In the first month of release, there are total 458974.35 copies have been old to date.

We know that 35800 is 7.8% of the entire amount sold (also known as 100%). The amount we do not know is how many they have sold overall; let's put that as Z.

So for the fraction of things that we do know we'll have:

35800/ 7.8

And for the Z that we do not know, but the 100% that we do know we'll have:

 Z / 100

So we'll now set these equations equal to one another:

35800/ 7.8 =  Z /100

Now,

Solve for Z, we must isolate Z by itself by doing the following:

    35800(100) = Z(7.8)

    Z = (35800(100)/7.8

⇒ Z = 458974.35

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Answer:

it is going to remain 3 1/2

Step-by-step explanation:

The absolute doesn't change anything since the term inside it is positive.

however if you were given | -3 1/2|, then in that case you would change the negative sign and make it positive.

It will take approximately 14.9 years for a $5,000 deposit in a savings account with a 3.3% interest rate to grow to $10,000.

To calculate the time it takes for the balance to reach $10,000, we need to use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial deposit), r is the interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years.

In this case, we have a $5,000 deposit (P), an interest rate of 3.3% (r = 0.033), and we want to find out how many years (t) it will take for the balance to reach $10,000 (A = $10,000).

Substituting the values into the formula, we get 10,000 = 5,000(1 + 0.033/n)^(n*t).

To solve for t, we can use trial and error or an iterative approach. By trying different values of t, we find that after approximately 14.9 years, the balance will grow to $10,000.

Therefore, it will take approximately 14.9 years for the balance to grow from $5,000 to $10,000 in a savings account with a 3.3% interest rate.

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The set of (3 in, 7 in, and 8 in) and (3 in, 5 in, and 7 in) will form a triangle and represents the length of the side of the triangle.

A three-sided quadrilateral is known as a triangle.

For the three sides to form a triangle, they must follow- "The sum of any two sides of the triangle must be greater than or equal to the third side of the triangle".

Here, in this question, we are given four options so, we will go one-by-one-

Option A: 1 in, 3 in, and 7 in

Here, (1+3)<7 so, it will not form a triangle.

Option B: 3 in, 3 in, and 7 in

Here, (3+3)<7 so, it will not form a triangle.

Option C: 3 in, 7 in, and 8 in

Here, (3+7)>8; (3+8)>7; and ((7+8)>3

So, these will form a triangle.

Option D: 3 in, 5 in, and 7 in

Here, (3+5)>7; (3+7)>5; and (5+7)>3

So, these will form a triangle.

Thus, options C and D are the correct answers.

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Answer:

9

Step-by-step explanation:

A ratio is a direct variation of a some objects to other objects.

The parts of a ratio is called a partition. The partition adds up to the full amount of objects.

There is a total of 10 white objects so there must be 22 black objects.

Since the ratio of black circles to black squares is 3:8.

And there is a total of 11 objects, we just multiply the ratio by 2.So this means ther 6 total of black circle circles. So we have a total of

9 circles.

Answer:

23

Step-by-step explanation:

you just add all the number together

Answer:

21 is the answer

Step-by-step explanation:

4+4+2+2+2+2+5=21

Answer:

Step-by-step explanation:

θ=l/r

where θ is in radians.

θ=30 =Π/180 ×30=π/6

π/6=2/r

πr=12

r=12/π≈3.82 in

2√3≈3.46

which is near to 3.82

The minimum unit cost occurs when the derivative of the cost function is equal to zero. The minimum unit cost is $5,848.

To find the minimum unit cost, first find the derivative of the cost function, C(x) = 0.6x^2 - 168x + 29,460. The derivative, C'(x), represents the rate of change of the cost with respect to the number of engines made. When C'(x) = 0, it indicates a minimum or maximum point in the cost function.

Calculation steps:
1. Find the derivative of the cost function: C'(x) = 1.2x - 168
2. Set the derivative equal to zero: 1.2x - 168 = 0
3. Solve for x: x = 140
4. Plug the value of x back into the original cost function: C(140) = 0.6(140)^2 - 168(140) + 29,460
5. Calculate the minimum unit cost: C(140) = $5,848

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer:

1/3 is the experimental probability of rolling 6

Explanation:

Given, a die roll 10 times in which we get 6 three times. Total no. of  possible outcomes = 10 and number of favorable outcomes = 3

Therefore, the probability of getting 6 =  1/3.

The  zeroes (x-intercepts)  of the quadratic equations in ascending order are;

1) -9, 9

2) 0, 3/2

3) -1, 4

The x-intercept of a quadratic function is simply the roots or the zeros of the quadratic function.

We will use the quadratic formula which is;

x = [-b ± √(b² - 4ac)]/(2a)

1) y = x² - 81

x-intercept is at y = 0

x² - 81 = 0

Add 81 to both sides to get;

x² = 81

Taking square root of both sides gives;

x = ±√81

x = -9, 9

B) We are given y = 12x² - 18x

x-intercept is at y = 0

Thus;

12x² - 18x + 0 = 0

Using quadratic formula gives us;

[-(-18) ± √((-18)² - 0)]/(2 * 12)

= (18 ± 18)/24

= 0, 3/2

C) y = 2x² - 6x - 8

x-intercept is at y = 0. Thus;

2x² - 6x - 8 = 0

Using quadratic formula gives us;

x = [-(-6) ± √((-6)² - (4*2*-8))]/(2 * 2)

x = (6 ± √100)/4

x = 6/4 ± 10/4

x = -1 or 4

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Answer:

5.5 by 6cm

Step-by-step explanation:

P=2x + 2y = 23

x+y= 11.5

y= 11.5 - x

x (11.5-x) =33

11.5x - x^2 = 33

( multiply by 2 to get rid of the decimal?)

23x -2x^2=66

23x-2x^2+66=0

(x-6)(2x - 11) = 0

sub. 6 into y=11.5-x=11.5-6=5.5

sub. 5.5, 5.5=11.5-x, x=11.5 - 5.5= 6

Therefore the dimensions of the rectangle are 6cm by 5.5cm.

hope u get an understanding from this!

Dr. Fahrrad breaks down 0.23 moles of ATP to get to work.

The first step is to calculate the work done by Dr. Fahrrad on his bike ride. We can use the following equation:

W = F * d

where:

W is the work done in joules

F is the force in newtons

d is the distance in meters

The force is equal to the mass of Dr. Fahrrad times his acceleration. We can convert the acceleration from kilometers per second squared to meters per second squared by multiplying by 1000/3600. This gives us a force of 102.8 newtons.

The distance of Dr. Fahrrad's bike ride is 4.6 kilometers, which is equal to 4600 meters.

Plugging these values into the equation for work, we get:

W = 102.8 N * 4600 m = 472320 J

The breakdown of a mole of ATP releases 29 kilojoules of energy. So, the number of moles of ATP that Dr. Fahrrad breaks down is:

472320 J / 29 kJ/mol = 162.6 mol

To one decimal place, this is 0.23 moles of ATP.

Here are the assumptions that we made in this calculation:

No friction

No mass of the bike

A flat ride with no change in altitude

These assumptions are not always realistic, but they are a good starting point for this calculation. In reality, Dr. Fahrrad would probably break down slightly more than 0.23 moles of ATP to get to work.

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