A spinner is spun 300 times.
a) how many times would you expect it to land on green?
b) the spinner is spun once more. estimate the probability of it landing on purple
c) if the spinner is spun another 1000 times, how many times would you expect it to land on blue?
answers please

Based on the given parameters, the value of LM is 3

The given parameters are:

LM = 3x

MN = x + 6

LN = 10

To calculate LM, we use:

LN =LM + MN

Substitute the known values in the above equation

3x + x + 6 = 10

Evaluate the like terms

4x =4

Divide by 4

x = 1

Substitute x = 1 in LM = 3x

LM = 3 *1

Evaluate

LM = 3

Hence, the value of LM is 3

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x - 3 = 9

Its solution will be a number

To solve;

add 3 to both-side of the equation

x - 3 + 3 = 9 + 3

x=12

Hence; x=12 is its solution and 12 is a number

The number of units produced by the company is 72 units

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of units produced by the company be = N

Let the number of units of capital be = K

Let the number of units of labor be = L

The equation for number of units produced N is given by

The equation is N = 12 ³√KL

Now ,

The number of units of labor L = 8 units

The number of units of capital K = 27 units

So , to find the number of units produced N is given by the equation

N = 12 ³√KL

Substitute the value of K and N in the equation , we get

N = 12 ³√ ( 27 x 8 )

N = 12 ³√216

N = 12 x 6

N = 72 units

Therefore , the value of N is N = 72 units

Hence , The number of units produced by the company is 72 units

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The vector u × (vector v × vector w) is (-14, 2, -4), and (vector u × vector w) × vector v is (4, -2, -8). To compute the vector u × (vector v × vector w), we first calculate the cross product of vector v and vector w.

We get vector v × vector w = (-1, -8, -7). Next, we take the cross product of vector u and the result obtained above. The cross product of vector u and vector v × vector w gives us (-14, 2, -4).

To compute (vector u × vector w) × vector v, we first calculate the cross product of vector u and vector w, which is (8, 7, 1). Next, we take the cross product of this result and vector v. The cross product of (vector u × vector w) and vector v gives us (4, -2, -8).

Therefore, vector u × (vector v × vector w) is (-14, 2, -4), and (vector u × vector w) × vector v is (4, -2, -8).

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1 Mbps (megabit per second) is equal to 1000 kbps (kilobits per second). This is because the prefix "mega" represents a factor of 10^6, while the prefix "kilo" represents a factor of 10^3.

To convert from Mbps to kbps, we can use the following formula:

1 Mbps = 1000 kbps

This means that for every 1 megabit per second of data transfer rate, there are 1000 kilobits per second of data transfer rate. For example, if you have a network connection that provides a download speed of 10 Mbps, this is equivalent to a download speed of 10,000 kbps.

In practical terms, the data transfer rate is important for tasks that involve transferring large amounts of data, such as streaming video or downloading files. Mbps and kbps are commonly used units for measuring data transfer rates, and it's important to understand the relationship between them in order to make informed decisions about internet service and network performance.

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the cost of full coverage insurance in female in her 50s as a percentage of the same insurance in a male in his 30s if female cost $819. 73 and male cost $1192. 64  was $ 68.73

We have the insurance coverage amount for men of 30 years and for women of 50 years. Therefore, to find the percentage that represents the cost of coverage of the 50-year-old woman based on the cost of coverage of the man, we need to perform the following operation:

Xw= Cw/Cm * 100%

Where:

Cw: cost of coverage for a woman of 50 years.

Cm: coverage cost for a 30-year-old man.

Xw= 819.73/1192.64 *100%

    = 68.73

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If at sunset a thermometer had a reading of 4°F and during the night the temperature decreased by 15°F, then after the decrease the total number of degrees that the temperature must change for the thermometer to read 0°F is equal to 11°F.

The total number of degrees that the temperature must change for the thermometer to read 0°F can be determined by using subtraction.

Subtraction can be defined as an act of calculating the difference between numbers or values.

As the temperature decreased by 15°F during the night, the temperature after the decrease can be calculated as follows,

4°F - 15°F = -11°F

The total number of degrees the temperature must change for the thermometer to read 0°F can be calculated as follows,

-11°F + x = 0

x = 11°F

Hence, the temperature must increase by 11°F for the thermometer to read 0°F.

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Answer: 11’F

Step-by-step explanation:

4’F-15’F=-11

-11+11’F=0’F

Answer:

-4,3.5

Step-by-step explanation:

1st one

x-2x-20 = 12

-x = 32

x=-4

2nd one

-15=15q-50 - 5q

35= 10q

q = 3.5

Since the relationship is proportional, the line will pass through the origin (0, 0). This means that if there is a bag with zero weight, it would have zero cost.

To graph the proportional relationship between the weight and total cost of the bags of lemons, follow these steps:

1. Identify the independent variable and the dependent variable. In this case, the weight of the bag (in pounds) is the independent variable, and the total cost of the bag (in dollars) is the dependent variable.

2. Create a coordinate plane. Label the x-axis as "Weight (pounds)" and the y-axis as "Total Cost (dollars)".

3. Plot the data points. For the first bag, with a weight of 2.4 pounds and a cost of $5.28, plot a point at (2.4, 5.28) on the coordinate plane. For the second bag, with a weight of 2.7 pounds and a cost of $5.94, plot a point at (2.7, 5.94) on the coordinate plane.

4. Draw a straight line passing through the two plotted points. This line represents the proportional relationship between the weight and total cost of the bags of lemons.

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The predicted income increases by $2,500, holding all other variables constant.

To interpret a regression coefficient based on standardized data using unstandardized units, you need to use the formula for converting standardized coefficients to unstandardized coefficients:

B(unstandardized) = B(standardized) * (SDY/SDX)

where B(unstandardized) is the unstandardized coefficient, B(standardized) is the standardized coefficient, SDY is the standard deviation of the dependent variable, and SDX is the standard deviation of the independent variable.

Once you have calculated the unstandardized coefficient, you can interpret it using the units of the original variables. For example, if you are predicting income (in dollars) based on education level (measured in years of schooling), and the regression coefficient for education level is 0.5 (standardized), and the mean income is $50,000 and the standard deviation is $10,000, and the mean education level is 12 years and the standard deviation is 2 years, then the unstandardized coefficient is:

B(unstandardized) = 0.5 * (10,000/2) = 2,500

This means that for every additional year of education, the predicted income increases by $2,500, holding all other variables constant.

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The sales fell short of the goal by $350.

What is a linear equation in two variables?

A linear equation in two variables is an equation that can be written in the form of ax + by = c, where a, b, and c are constants and x and y are variables. The graph of a linear equation in two variables is a straight line in the coordinate plane.

Let's write the equations based on the given information:

The total number of tickets sold should be 500.

d + s = 500

The total revenue generated should be $3,350.

8.5d + 5.5s = 3,350

To solve for d and s, we can use the system of equations method.

Multiplying the first equation by 5.5 and subtracting from the second equation, we get:

8.5d + 5.5s = 3,350

-5.5d - 5.5s = -2,750

3d = 600

d = 200

Substituting the value of d in the first equation, we get:

200 + s = 500

s = 300

Therefore, 200 adult tickets and 300 student tickets were sold to raise exactly $3,350.

Now, let's consider the second part of the problem.

Let x be the number of adult tickets sold. Then the number of student tickets sold is 3x.

So, the total number of tickets sold = x + 3x = 4x

Given that, the total number of tickets sold is 480.

4x = 480

x = 120

So, the number of adult tickets sold = 120

The number of student tickets sold = 3x = 360

The revenue generated from the adult tickets = 120 x $8.5 = $1,020

The revenue generated from the student tickets = 360 x $5.5 = $1,980

Therefore, the total revenue generated = $1,020 + $1,980 = $3,000

The sales fell short of the goal by $3,350 - $3,000 = $350.

Hence, the sales fell short of the goal by $350.

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Answer:

y= ax^2 + bx + c although this is the quadratic form in standard form

The total red area of the five circles making up this archery target is given by the formula πr2.
The diameter of the first circle is length so its radius is length/2. Therefore, the red area of the first circle is π(length/2)2.
The diameter of the second circle is 2 so its radius is 1.

Therefore, the red area of the second circle is π.  Adding these together, the total red area is π(length/2)2 + π.

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Answer:

Rate of change = -5/6 & Initial value = 5

Step-by-step explanation:

Rate of change = rise/run = -5/6

Initial value = y -intercept = 6

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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Answer:

3,702,856

Step-by-step explanation:

add the three million and then look at the second number you need to add to it and it is seven hundred and two thousand so it should be 702 instead of 720.

The given data is,

→ the ratio of cups of water to cups of milk in a recipe is 1 to 5

Now we have to,

→ find three ratios equivalent to the ratio

Then the ratios will be,

→ 1 (×2) : 5 (×2)

= 2 : 10

→ 1 (×3) : 5 (×3)

= 3 : 15

→ 1 (×4) : 5 (×4)

= 4 : 20

Thus, 2 : 10, 3 : 15 & 4 : 20 are the ratios.

Answer:

C = πd. where C is the circumference and d is the diameter of the circle. Using radius instead of diameter, the formula is: C = 2πr. where r is the radius of the circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

See attachment

Answer:

g^8

Step-by-step explanation:

The "." means multiplication. Therefore take g as common.

But, for the powers its different.  

When constants are being multiplied, the powers will be added together:

g^5 x g^3

=g^ 5+3

=g^8

If the constants were being added then the powers would hv been multiplied: g^5 + g^3

= g^5 x 3

=g^15

Similarly, if the constants were being divided then the powers would hv been substracted: g^5/g^3

=g^5-3

=g^2

And if the constants were being substracted the the powers would hv been divided: g^5 - g^3

=g^5/3

So, therefore ur answer is g^8.

Hope u understood :D

Answer:

758

Step-by-step explanation:

The largest number that can be made is 875 but it ends in 5 which makes it an odd number.

The only even number is 8 so we have to use it last.

7 is bigger than 5 so 7 goes first which means it's 758

The three sides of a triangle that is 5cm, 3cm, and 8cm not of the triangle.

Triangle:

A triangle is a 3-sided polygon sometimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same

Here we have to find the given three sides of a triangle possible.

The three sides are 5cm, 3cm, and 8cm.

The property of a triangle is that the sum of two sides of a triangle is greater than the third side of a triangle.

The three sides are:

a = 5cm

b = 3cm

c = 8cm

a + b > c

5 + 3> 8

8> 8 which is incorrect

Therefore the three sides in not sides of a triangle.

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The possible values of a for which x^2+ax+25 is the square of a binomial are +10 and -10

If x^2+ax+25 is the square of a binomial, then it can be expressed in the form (x+b)^2 = x^2+2bx+b^2. Comparing the two expressions, we get:

a = 2b

25 = b^2

Solving for b in the second equation, we get:

b = ±5

Substituting this into the first equation, we get:

a = ±10

Therefore, the possible values of a for which x^2+ax+25 is the square of a binomial are +10 and -10, and these values will make b equal to +5 or -5, respectively.

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Given that, Katie has four grape candies and 3 cherry candies.

Thus, the total number of candies is 7.

Calculate the ratio of grape candies to total number of candies.

Therefore, ratio is 4:7.

When three standard six-faced dice are rolled, the probability that the sum of the three numbers rolled is 9 is equal to 10/216 or 5/108.

Total number of ways three dice can be rolled = 6 × 6 × 6 = 216.

Each dice can have any number from 1 to 6. The probability of rolling a particular number on a dice = 1/6.

The probability of rolling a particular number on three dice = (1/6) × (1/6) × (1/6) = 1/216.

In order to get a sum of 9, there are four combinations that can be rolled:

3 + 3 + 3 = 9

3 + 4 + 2 = 9

3 + 5 + 1 = 9

4 + 3 + 2 = 9

The probability of rolling any of these combinations = probability of rolling 3-3-3 + probability of rolling 3-4-2 + probability of rolling 3-5-1 + probability of rolling 4-3-2

= (1/216) + (3/216) + (3/216) + (3/216)

= 10/216 or 5/108.

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The equivalent expression of the perimeter in two terms is 44 + 4x

From the question, the area of the garden is given as

A = 15(2x + 7)

The area of a rectangle is calculated using

A = LW

Where

Length = L

Width = W

This means that

L = 15

W = 2x + 7

The perimeter of the rectangular garden is then calculated as

P = 2 * (L + W)

So, we have

P = 2 * (15 + 2x + 7)

Evaluate

P = 2 * (22 + 2x)

This gives

P = 44 + 4x

Hence, the perimeter is 44 + 4x

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Complete question

Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x). A. Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Shawn's garden.

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7).

The probability that the student has not visited between 21 and 30 states is 0.4772 or approximately 48%.

Suppose a Hospitality Management student is picked at random.

We need to calculate the probability that the student has not visited between 21 and 30 states.

To calculate the probability, we can use the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

Let X be the number of states visited by the student.

Given that X follows a normal distribution with mean μ = 25 and standard deviation σ = 7.

So, the z-score for X = 21 and X = 30 can be calculated as follows:

z1 = (21 - 25) / 7 = -0.57,

z2 = (30 - 25) / 7 = 0.71

Now, we can find the probability of the student not visiting between 21 and 30 states using the standard normal distribution table:

P(21 < X < 30) = P(z < 0.71) - P(z < -0.57)= 0.7611 - 0.2839= 0.4772

Therefore, the probability that the student has not visited between 21 and 30 states is 0.4772 or approximately 48%.Note: The answer is 48% approximately.

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The surface integral of the function f(x, y, z) = x^2 + x^2 over the hemisphere x^2 + y^2 + z^2 = 1 can be evaluated using spherical coordinates.



To evaluate the surface integral of the function f(x, y, z) = x^2 + x^2 over the hemisphere x^2 + y^2 + z^2 = 1, we can use the parametrization of the hemisphere in spherical coordinates. Let's denote the surface element as dS.

Using spherical coordinates, we have x = sin(θ)cos(φ), y = sin(θ)sin(φ), and z = cos(θ), where θ ∈ [0, π/2] and φ ∈ [0, 2π].

The surface integral can be written as:

∬S (x^2 + x^2) dS = ∫∫S (sin^2(θ)cos^2(φ) + sin^2(θ)sin^2(φ)) r^2sin(θ) dθ dφ,

where r is the radius of the sphere (r = 1 in this case).

Evaluating the integral over the given limits, we find the value of the surface integral.

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