Solve the quadratic equation. x2+x−6=0

The probability that a student chose football given that they like watching sports is: c. 0.27.

Using this formula

P[Like (Football)/Like (Sport)]

Where:

P=Probability

Like (Football)=0.23

Like (Sport)=0.23+0.18+0.26+0.17=0.84

Let plug in the formula

P[Like (Football)/Like (Sport)]=0.23/0.84

P[Like (Football)/Like (Sport)]=0.27

Therefore the probability that a student chose football given that they like watching sports is: c. 0.27.

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Answer:

C.

Step-by-step explanation:

In this case, the experimental probability is D. 0.860

First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.

In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.

Then, the probability of rolling a 5 will be equal to:

P1 = 140/1000 = 0.14

Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:

P2 = 1 - 0.14 = 0.86

then the correct option is D

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.

A. 0.140

B. 0.167

C. 0.667

D. 0.860

Answer:

40%

Step-by-step explanation:

Total number of cookies eaten

= Cookies eaten by Maryam + Cookies eaten by Robert

= 3 + 5

= 8

Total number of cookies in the package = 20

∴Percent of cookies eaten = \(\frac{NumberOfCookiesEaten}{TotalNumberOfCookies}\) × 100%

                                             = \(\frac{8}{20}\) × 100%

                                             = 40%

The only true statement is

To begin converting the equation to standard form, abate 36 from both sides.

To dissect the given circle equation x² + 2 + 4x - 64 - 36 = 0, let's go through the handed statements one by one

1. To begin converting the equation to standard form, abate 36 from both sides.

This statement is true.

By abating 36 from both sides, the equation becomes x² + 2x + 4x -100 = 0.

2. To complete the forecourt for the × terms, add 4 to both sides.

This statement isn't true.

Adding 4 to both sides would not complete the forecourt for the x terms. In this equation, we do not need to complete the square since the x terms are formerly in standard form.

3. The center of the circle is at(- 2, 3).

This statement isn't true.

The equation x² + 2x + 4x -100 = 0 isn't in the form( x- h)² + ( y- k)² = r², which represents the equation of a circle centered at the point( h, k). thus, we can not determine the center of the circle from this equation.

4. The center of the circle is at( 4,-6).

This statement isn't true. As explained in statement 3, we can not determine the center of the circle from the given equation.

5. The compass of the circle is 6 units.

This statement isn't true. The compass of the circle can not be determined from the given equation.

6. The compass of the circle is 49 units.

This statement isn't true. The compass of the circle can not be determined from the given equation.

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Answer:

The total sample list is 6

Step-by-step explanation:

The bag has following balls

Red - 1

Blue -1

White -1

Two balls are drawn from the bag without replacing the other -

The probability of drawing 1st ball of any color - 1/3

The probability of drawing 2nd ball of any color - 1/2

These two events are independent of each other

Hence, the probability of deriving two balls without replacement is 1/3*1/2 = 1/6

Hence, the total sample list is 6

The sample space is the list of possible outcomes of an experiment

The sample space is {rb, rw, br, bw, wr, wb}

The color of the three balls is represented as:

Red = r

Blue = b

White = w

Given that the selection is without replacement, the sample space would be:

rb, rw, br, bw, wr, wb

The count of the sample space represents the sample size.

Hence, the sample size of the experiment is 6, and the sample space is {rb, rw, br, bw, wr, wb}

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Answer:

In algebra, it is easy to find the third value when two values are given. Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side.

Step-by-step explanation:

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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Answer:

1/3

Step-by-step explanation:

39 divided by 13 comes out to 3, meaning that 1 out of 3 students chose to hear the designer speak.

To answer this problem we have to remember that the break even point occur where the revenue function and the cost function have the same value.

Then, this happens when

Pluggin the expressions of our functions and solving for x we have:

Therefore the break even point occurs when x=74000. In this points both functions have value

Answer: Try the answer A

Answer:

Length: 200

Width: 5

Step-by-step explanation:

The perimeter of 120 and 85 is 410

The perimeter of 200 and 5 is 410

The area of 200 and 5 is 200 times 5 which is 1000

The area of 120 and 85 is 120 times 85 is 10200

Answer:

5

Step-by-step explanation:

The amount of lawns that he can mow in 10 hours is; A: five Lawns

We are told that it takes a time of 4 hours to mow 2 lawns. Thus, amount of lawn he can mow in 1 hour = 2/4 = 0.5 lawn per hour

Thus, amount of lawn he can mow in 10 hours = 0.5 * 10 = 5 lawns

In conclusion he will mow 5 lawns in 10 hours.

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Answer:

\(\frac{4^{5}}{4^{2}}\\\)

Step-by-step explanation:

\(\frac{1}{4^{3}} =4^{-3}\\\\4^{-3}\\\\\frac{4^{2}}{4^{5}}=4^{2-5}=4^{-3}\)

But 4^5/4^{2} = 4^3

Answer:

slope = - \(\frac{6}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)

m = \(\frac{3-8}{-9+3}\) = \(\frac{-5}{-6}\) = \(\frac{5}{6}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{5}{6} }\) = - \(\frac{6}{5}\)

Answer:

14 mm squared is the area

Step-by-step explanation:

The balance after 6 years on an account that pays 5.5% annual interest compounded continuously with an initial deposit of $975 is $1,356.19.

Continuous compounding involves calculating the interest earned on a principal amount continuously over time, which results in a higher overall balance than other compounding frequencies.

Using the formula A = Pe^(rt), where A is the final balance, P is the initial deposit, r is the interest rate, and t is the time, we can calculate the balance after 6 years as A = 975e^(0.055*6) = $1,356.19. Therefore, the correct answer is option D, $1,356.19.

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Answer:

The solution set is where the 2 lines intersect.

Step-by-step explanation:

Answer:

2.5 and -0.75

Step-by-step explanation:

i think i could be wrong x

The y-value that represents the minimum point of the given function graph is -2

The minimum value of the function represented by the graph is the place where the graph has a vertex at its lowest point. In simple terms the minimum point of the graph is the coordinate of the lowest point of the graph.

Now, looking at the graph critically, we can see that it has a minimum point. We can see that the minimum point of the given graph is seen to be; (-3, -2)

This means the y-value that represents the minimum point of the given function graph is -2

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Answer:

d

Step-by-step explanation:

do this all the time

The required length of AD is equal to the length of BC.

A polygon with four edges, four angles, and four vertices is called a quadrilateral. The Latin terms quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above picture as an example.

First, we draw the quadrilateral ABCD and label the given angles:

\($\begin{align*}\angle ABD &= 35^\circ \\angle BDC &= 25^\circ\end{align*}\)

Since opposite sides of quadrilateral ABCD are equal, we have:

\($\begin{align*}AB &= DC\end{align*}\)

We can use this fact to draw diagonal BD and label its length as x:

\($\begin{align*}AB &= DC \AD + DB &= BC + DB \AD &= BC\end{align*}\)

Therefore, we can conclude that:

\($\begin{align*}AD &= BC\end{align*}\)

Thus, the length of AD is equal to the length of BC.

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Step-by-step explanation:

for this we need to know the conversion rate between miles and kilometers :

1 mile = 1.60934 km

which means

1 km = 0.621371 miles

so,

70 m/h = 70×1.60934 km/h = 112.6538 km/h

compared to the 120 km/h limit in Canada, it is clear that the speed limit in Canada is higher.

the difference is

7.3462 km/h = 7.3462×0.621371 = 4.56471564 m/h

if we name the number "x", then the number divided by 16 is x divided by 16, that is

If the length of rectangular school hall is 4 times the width and the perimeter be 55m, then the length is 22m and the width of the school hall be 5.5m.

Given that the length of  rectangular school hall is 4 times the width.

We are required to find the length and breadth of the rectangle which has the length be 4 times the width.

Perimeter of rectangle is the sum of all the length and breadth of that rectangles.

Perimeter of rectangle is given as 55m

Perimeter=2(L+B)

let the width of rectangle be x.

Length of that rectangle be 4x.

According to question,

2(x+4x)=55

2*5x=55

10x=55

x=55/10

x=5.5 m

Width be 5.5 m.

Length of rectangle be 4*5.5=22m.

Hence if the length of rectangular school hall is 4 times the width then the length is 22m and the width of the school hall be 5.5m.

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Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.

The given system of equations is:

2x + 3y = −8   ....(i)

3x + y = 2 ----(ii)

To solve this system by using the elimination method,

Multiply 3 both sides in equation (ii) we get,

9x + 3y = 6  ....(iii)

Subtract (iii) from (i) we get,

2x + 3y - (9x + 3y ) = -8 -6

-7x = -14

Dividing both  sides by -7 we get,

x = 2

Put the value of x into equation (ii),

6 + y = 2

y = -4

Hence,

The solution of the system is \((2, -4)\) which is option B.

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The complete question is:

Solve the system of equations using elimination.

2x + 3y = −8

3x - y = 2

A. (−4, 0)

B. (2, −4)

C. (5, −6)

D. (8, −8)

Answer:

(2, −4)

Step-by-step explanation:

took the test xx

Answer:

8 : 20

Step-by-step explanation:

This would be 8 : 20 because all together their are 20 tiles and it is only asking for the brown tiles. So you add (the brown tiles) : (overall amount)

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

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Answer:

Area

Step-by-step explanation:

Answer: A three sided polygon is a triangle.

Step-by-step explanation:

Types of these include: isosceles, equilateral, scalene, obtuse, acute, and right triangles. Example: