someone please help this is due in 25 minutes​

The quotient of 874 and 23 is 38.

To get the quotient of 874 and 23 using an area model, create a rectangle with an area of 874 and divide it into 23 equal parts.

Each part would depict the value of one of the 23 groups that 874 is divided into. Then count how many of these equal parts fit into the rectangle and this would give the answer to the division problem.

The rectangle can be divided into 23 equal parts horizontally, and then count how many of these parts fit into the rectangle vertically. Start with one part and see how many times we can fit it into the rectangle vertically before reaching a total of 874.

874 ÷ 23 = ( 1 x 23) + ( 7 x 23)

874 ÷ 23 = 23 + 161

874 ÷ 23 = 38

So the quotient of 874 and 23 is 38.

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A typical water bed weighs around 1797.6 pounds. It depends upon the volume of water bed and the unit conversion of the weight and volume units.

A typical water bed holds 28 cubic feet of water.

The volume of the typical water bed and its weight can be calculated with the help of the quantities:

Identify the volume of water held by the water bed, which is 28 cubic feet.
Multiply the volume by the weight of 1 cubic foot of water, which is 64.2 pounds.
Perform the calculation: 28 cubic feet × 64.2 pounds per cubic foot = 1797.6 pounds.

Therefore, a typical water bed weighs approximately 1797.6 pounds when filled with water.

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a) Probability model

P(40) = 1/6

P(0) = 5/36

P(-10) = 25/36

b)  E(X) = -5/18

standard deviation  = 18.331

c) standard deviation  = 91.65

d) Probability = 0.560

From the question, we have

a) X = -10, 0 or 40 for your winnings (or losses). The corresponding probabilities are:

P(40) = 1/6

P(0) = (5/6)(1/6) = 5/36

P(-10) = 1 - 1/6 - 5/36 = 25/36

b) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

E(X^2) = (100)(25/36) + 1600(1/6) = 3025 / 9

Var(X) = E(X^2) - [E(X)]^2 = 3025 / 9 - (-5/18)^2 = 108875 / 324

standard deviation = sqrt [Var X] = 119043 / 6494 =18.331

c) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

5 * E(X)  =  - 25/18

standard deviation = 5 * 18.331 = 91.65

d) Probability :

P(X < 0) = P{ z < [0 - (-5/18)] / [(119043 / 6494) / sqrt 100] } = P(z < 0.1515) = 0.560

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

Complete question:

From the Data at Hand to the World at Large 4. New game You pay $10 and roll a die. If you get a 6, you win $50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What's the probability the person running the game makes a profit?

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The standard deviation from the mean can be calculated by finding the square root of the variance. However, without the specific values of the set, the calculation cannot be performed.

To find the standard deviation from the mean of the set of 20 values representing the lengths of worms in Bryant's garden, we need to follow these steps:

1. Calculate the mean (average) of the set of values. Add up all the values and divide by the total number of values (20 in this case).

  Mean = (4 + 5 + 6 + 14 + 15 + 5 + ...) / 20

2. Calculate the variance of the set of values. Given that the variance is 36, we can use the formula:

  Variance = Sum of Squares of Differences / Number of Values

3. Take the square root of the variance to find the standard deviation.

  Standard Deviation = √(Variance)

Since the specific values of the set are not provided, it is not possible to calculate the mean and subsequently find the standard deviation.

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There are 658,008 ways to choose 5 non-Polluted lakes from the remaining 79 lakes.

To determine the number of ways to choose one polluted lake and five non-polluted lakes from a sample of 80 lakes, we can use the concept of combinations.

The total number of ways to choose a group of lakes from a larger set is given by the formula for combinations, which is denoted as "n choose r" and calculated as:

C(n, r) = n! / (r!(n-r)!)

Where n represents the total number of lakes and r represents the number of lakes to be chosen.

In this case, there are 80 lakes in the sample and we want to choose 1 polluted lake and 5 non-polluted lakes. Therefore, we have:

n = 80 (total number of lakes)

r = 1 (number of polluted lakes to be chosen)

Using the combination formula, we can calculate:

C(80, 1) = 80! / (1!(80-1)!)

         = 80! / (1! * 79!)

         = 80

So there are 80 ways to choose 1 polluted lake from the sample of 80 lakes.

Next, we want to choose 5 non-polluted lakes from the remaining 79 lakes (after choosing 1 polluted lake). Using the combination formula again:

C(79, 5) = 79! / (5!(79-5)!)

         = 79! / (5! * 74!)

         = 79 * 78 * 77 * 76 * 75 / (5 * 4 * 3 * 2 * 1)

         = 658,008

Therefore, there are 658,008 ways to choose 5 non-polluted lakes from the remaining 79 lakes.

To find the total number of ways to choose one polluted lake and five non-polluted lakes, we multiply the number of ways for each category:

Total number of ways = 80 * 658,008

                   = 52,640,640

Hence, there are 52,640,640 ways to choose one polluted lake and five non-polluted lakes from the given sample of 80 lakes.

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The three elements of the fire triangle are heat, fuel, and oxygen.

All three elements are present in various locations such as kitchens, factories, workshops, and even in nature such as forests and grasslands. For example, in a kitchen, the stove provides heat, cooking oil or gas is the fuel, and air provides oxygen.

In a factory, welding machines generate heat, combustible materials serve as fuel, and air provides oxygen. In a forest, the hot summer sun provides heat, dry leaves and branches serve as fuel, and air provides oxygen. Whenever all three elements are present, there is an increased risk of fire, and proper precautions should be taken to prevent fires from starting.

For example, if there is a dry and combustible material (fuel) that is exposed to a high temperature or a spark (heat), and there is an ample supply of oxygen in the air, then all three elements of the fire triangle are present and a fire can start. Another example might be a gas stove with an open flame (heat), a can of flammable cooking oil (fuel), and a well-ventilated kitchen (oxygen).

When these three elements are present together, there is an increased risk of fire.

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The given expression is a fraction in the form of\((n^2 + 2n + 5)/n\), which is an element of the set Omega (\(n^2\)). This expression is true.

The given expression is a fraction in the form\((n^2 + 2n + 5)/n\), which belongs to the set Omega\((n^2).\) This statement is valid, as the fraction is simply a simplified form of a polynomial, which is an element of the Omega set. The numerator of the fraction is \(n^2 + 2n + 5\), which is a quadratic equation in n. The denominator is n, which is a linear equation in n. As the numerator and denominator are both polynomials of n, the fraction is an element of the Omega set. Therefore, the statement is true.

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Answer:

Step-by-step explanation:

d

It is likely that jed will select a button with one hole because 14/73> 1/2 .

Given,

22 buttons have two holes .

14 buttons have one whole .

37 buttons have four holes .

Now probability of selection in random cases,

Total number of buttons = 73 .

Probability that a button having one whole is selected = 14/73

Probability that a button having two whole is selected = 22/73

Probability that a button having four whole is selected = 37/73

Thus 14/73> 1/2 hence the probability that jed will choose a button with one whole is more .

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Answer:

Below

Step-by-step explanation:

x = first number  

x+1 = second number

x *  (x+1) = 272

x^2  +x  = 272

x^2 + x - 272 = 0     Use Quadratic Formula to find:

x=   16    x+1 = 17          OR       x =   -17     x+1 = -16

The product of given matrices is not possible.

A set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

Given that;

The matrix is,

⇒ \(\left[\begin{array}{ccc}3&2&5\\2&3&1\\\end{array}\right] * \left[\begin{array}{ccc}4&5&-5\\5&-1&6\\\end{array}\right]\)

Now,

Since, The matrix is,

⇒ \(\left[\begin{array}{ccc}3&2&5\\2&3&1\\\end{array}\right] * \left[\begin{array}{ccc}4&5&-5\\5&-1&6\\\end{array}\right]\)

Here, The product of matrix is not possible because number of column (3) in first matrix is not equal to the number of row (2) in second matrix.

So, The product of given matrices is not possible.

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Answer:

50 increased by 30% is 65

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

30% = 30/100 = 30 ÷ 100 = 0.3.

100% = 100/100 = 100 ÷ 100 = 1.

Percentage increase = 30% × 50

New value = 50 + Percentage increase

Calculate

New value =

50 + Percentage increase =

50 + (30% × 50) =

50 + 30% × 50 =

(1 + 30%) × 50 =

(100% + 30%) × 50 =

130% × 50 =

130 ÷ 100 × 50 =

130 × 50 ÷ 100 =

6,500 ÷ 100 =

65

Or just find 30% of 50 (15) and add that

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.

To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:

Spinner: [1, 2, 3, 4, 5, 6]

To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.

Possible outcomes for the tens digit: [2, 4, 6]

Possible outcomes for the units digit: [2, 4, 6]

Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:

Probability = favorable outcomes / total outcomes

Probability = 9 / 216

Probability = 1 / 24

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The given expression is ∫∫(1-x^2)(62-y^2)^2 dxdy over the region R = {(x,y) | x^2 + y^2 ≤ 1}.

To evaluate this expression, we can use polar coordinates since the region R is a circle of radius 1 centered at the origin. So, we can write x = rcosθ and y = rsinθ, and the limits of integration become 0 to 2π for θ and 0 to 1 for r. Substituting these values, we get the integral expression as ∫0^2π ∫0^1 (1-r^2cos^2θ)(62-r^2sin^2θ)^2 rdrdθ.

Next, we can simplify the integrand by expanding the square of (62-r^2sin^2θ) and using trigonometric identities. This simplification leads to the expression ∫0^2π ∫0^1 (3844r^2 - 124r^4 + r^6)cos^2θsin^4θ rdrdθ.

Integrating this expression with respect to r and θ, we get the final result as 205π/128. Therefore, the value of the given expression is 205π/128.

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According to the information, we can infer that the dimension of each shape is A are 8 x 8.5 x 2, B are 8 x 2 x 10, olume of 401.9 cubic inches,  height of 2 inches and a radius of 4 inches.

For shape A, the height of the rectangular prism is equal to the length of the paper (8 inches) and the width is equal to one-fourth of the width of the paper (2 inches). Therefore, the dimensions of shape A are 8 x 8.5 x 2.

For shape B, the height of the rectangular prism is equal to one-fourth of the length of the paper (2 inches) and the width is equal to the width of the paper (8 inches). Therefore, the dimensions of shape B are 8 x 2 x 10.

For shape C, the height of the cylinder is equal to the length of the paper (8 inches) and the radius of the circle top is equal to one-half of the width of the paper (4 inches). Therefore, the dimensions of shape C are a height of 8 inches and a radius of 4 inches, giving a volume of 401.9 cubic inches (rounded to one decimal place).

For shape D, the height of the cylinder is equal to one-fourth of the length of the paper (2 inches) and the radius of the circle top is equal to one-half of the width of the paper (4 inches). Therefore, the dimensions of shape D are a height of 2 inches and a radius of 4 inches, giving a volume of 100.5 cubic inches (rounded to one decimal place).

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Answer:

c. 2

Step-by-step explanation:

The valueof v

-9v - 9 = -27

= -9v = -27 + 9

= -9v = -18

= -9v/-9 = -18/-9

v = 2.

Note: negative will cancel negative.

Answer:

b=4

Step-by-step explanation:

Answer:

b=4

Step-by-step explanation:

you subtract 4b from both sides and 1 from both sides leaving you with b=4

The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

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Answer:

sorry it's too long

Step-by-step explanation:

Simplifying

3y + 3(1 + -1y) + -1y = 6

3y + (1 * 3 + -1y * 3) + -1y = 6

3y + (3 + -3y) + -1y = 6

Reorder the terms:

3 + 3y + -3y + -1y = 6

Combine like terms: 3y + -3y = 0

3 + 0 + -1y = 6

3 + -1y = 6

Solving

3 + -1y = 6

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1y = 6 + -3

Combine like terms: 3 + -3 = 0

0 + -1y = 6 + -3

-1y = 6 + -3

Combine like terms: 6 + -3 = 3

-1y = 3

Divide each side by '-1'.

y = -3

Simplifying

y = -3

Answer:

It falls in the integer category. The attached picture is a chart if you want to specify a number in a category.

Hope this helps :)

Answer:

9x + 18  < 65

Subtract 18 from both sides:

9x + 18 - 18  < 65 -18

Simplify the arithmetic:

9x < 65 -18

Simplify the arithmetic:

9x < 47

Reflecting the triangle ABC over the line y = x - 5 maps it to the triangle A"B"C"

From the question, we have the following parameters that can be used in our computation:

Triangles ABC and A"B"C"

Also, we have the figure

From the figure we can see that

Translation would not map the triangles

Of all the other transformations, a reflection over the line y = x - 5 may map the triangles

This means that reflecting the triangle ABC over the line y = x - 5 maps it to the triangle A"B"C"

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The y-intercept is approximately 191.15, which is closest to option B) 191.1.

To compute the y-intercept, we need to use the formula of the regression line:

y = a + bx

where a is the y-intercept, b is the slope, x is the independent variable (in this case, x-bar), and y is the predicted value of the dependent variable (in this case, y-bar).

The slope can be computed as:

b = r(sy/sx)

where r is the correlation coefficient, sy is the standard deviation of y, and sx is the standard deviation of x.

Substituting the given values, we get:

b = 0.341(37/12) = 1.05025

Now, we can use the formula of the regression line to find the y-intercept:

y = a + bx

251 = a + 1.05025(57)

a = 191.08875

Therefore, the y-intercept is approximately 191.1, which is answer choice B).
To compute the y-intercept, we will first need to find the slope (b) of the regression line using the given correlation coefficient (r), standard deviations (sx and sy), and means (x-bar and y-bar). Then, we will use the point-slope form of a linear equation to find the y-intercept.

Step 1: Calculate the slope (b)
b = r * (sy/sx)
b = 0.341 * (37/12)
b ≈ 1.05

Step 2: Use the point-slope form to find the y-intercept
y - y-bar = b * (x - x-bar)

Plug in the values for x-bar, y-bar, and b:
y - 251 = 1.05 * (x - 57)

Since we want the y-intercept, we will set x to 0:
y - 251 = 1.05 * (0 - 57)

Solve for y:
y - 251 = 1.05 * (-57)
y - 251 ≈ -59.85
y ≈ 251 - 59.85
y ≈ 191.15

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Answer:

what can i help u with

Step-by-step explanation:

No; the relation passes the vertical-line test. Yes; only one range value exists for each domain value

Yes; two domain values exist for range

yes; only one range value exists for each domain.