the weights of cars passing over a Bridge have a mean of 3550 lb and a standard deviation of 870 lb. Assume that the weights of the cars passing over the bridge, Lee distributed. Use the empirical rule to estimate the percentage of the cars going over the bridge whose weights are more than 4420 lbs.

​

The given LP problem can be solved using graphical and Big M methods. The graphical solution involves plotting the constraints and determining the feasible region and optimal solution. The Big M method involves introducing artificial variables and using a two-phase approach to find the optimal solution. In this case, the LP problem has a unique optimal solution.

(a) To solve the problem graphically, we first plot the constraints on a graph. The first constraint, 3x1 + x2 ≥ 4, can be represented by a line with points (0, 4) and (4/3, 0). The second constraint, 2x1 + x2 ≤ 4, is represented by a line with points (0, 4) and (2, 0). The third constraint, x1 + x2 = 3, is a straight line passing through (3, 0) and (0, 3). The feasible region is the intersection of the shaded regions determined by these three constraints. We can then find the optimal solution by evaluating the objective function at the corners of the feasible region. The maximum value occurs at the corner (4/3, 0), where z = 4/3.

(b) To solve the LP problem using the Big M method, we introduce artificial variables to convert the inequalities into equalities. We then use a two-phase approach to find the optimal solution. In the first phase, we minimize the sum of the artificial variables by adding them to the objective function with a large coefficient (M). The constraints are solved to obtain an initial feasible solution. In the second phase, we remove the artificial variables and solve the modified objective function. In this case, since the initial feasible solution has no artificial variables in the optimal solution, the second phase is not necessary. The optimal solution obtained from the first phase is x1 = 1, x2 = 2, with z = 0.

(c) In the graphical solution, the basic solutions occur at the corners of the feasible region. The basic solution (4/3, 0) is feasible, and the objective function value at this point is z = 4/3. In the Big M method, the basic solution obtained in the first phase is x1 = 1, x2 = 2, which is also feasible. The objective function value at this basic solution is z = 0.

(d) The LP problem does not have alternative optimal solutions because there is only one feasible region and the objective function has a unique maximum value. Therefore, the problem does not suffer from infeasibility or unboundedness.

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The grouped frequency distribution data is given in the image.

The distribution of values in a field is described by a statistical distribution, often known as a probability distribution. In other words, the statistical distribution identifies the typical and unusual values. The bell-shaped normal distribution is one of many varieties of statistical distributions.

Given:

This table shows overall advertising revenue for the American newspaper industry (in billions of inflation-adjusted 2015 dollars) for the years 1980 to 2015.

From the given data,

we can build the grouped frequency distribution data.

And our first class should be 10-19.9.

The table is given in the attached image.

Therefore, the frequency is given in the attached image.

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Answer: (1/2) m

Step-by-step explanation:

1/2 of a m=(1/2) m

If you want to make it more comprehensive, I am going to provide you with some examples

Applying [m] goes with the same pattern

Hope this helps!! :)

Please let me know if you have any question

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\( \large \tt \purple↪ \: \: \: \: \: 5x - 16 = x + 10 \)

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\(\large \tt \purple↪ \: \: \: \: \:5x - x = 10 + 16 \)

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\(\large \tt \purple↪ \: \: \: \: \: 4x = 26\)

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\(\large \tt \purple↪ \: \: \: \: \: x = \cancel\frac{26}{4} \)

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hope helps ~

The total costs are the same when a kayak is rented for 5 hours

How do we determine the hours that both have the same costs?

The hours that both shops have the same cost is determined by equating the total cost in shop A to the total  cost in shop B, in short, we need to first of all , model the total cost in each shop based on the straight-line equation formula shown below since the total cost is made of fixed charge and variable charge

y=a+bx

y=total cost

a=fixed charge for each shop

b=hourly fee

x=number of hours

Shop A:

total cost=8+3x

Shop B:

total cost=3+4x

8+3x=3+4x

8-3=4x-3x

5=x

At 5 hours both Shops A and B would have the same cost

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The hours when the cost of renting the kayaks would be the same is 5 hours.

The total cost of renting a kayak is $23.

The equation that can be used to represent the total cost of renting a kayak is a linear function. A linear equation is an equation whose graph is a straight line. A linear equation increases by a predetermined constant. An example of a linear equation is x + 2.

The form that the equation would be is:

Total cost = rental fee + (hourly fee x number of hours)

Total cost at Shop A = $8 + $3h

Total cost Shop B = $3 + $4h

Where h is the number of hours the kayak was rented.

When the total costs are equal, the two above equations would be equal.

$3 + $4h  =  $8 + $3h

Combine similar terms: $4h - $3h=  $8 - $3

Add similar terms together: h = 5 hours

Total cost = $3 + $4(5)

$3 + $20 = $23

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Due to its smaller range than Group A, Group B has a lower overall variability and a higher median than Group A.

Probability refers to the likelihood that an event will occur.

In real life, we frequently have to make predictions about the future.

We might or might not be aware of how an event will turn out.

When this occurs, we proclaim that there is a possibility that the event will occur.

In conclusion, probability has a wide range of amazing uses in both business and this rapidly developing area of artificial intelligence.

The chance of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes.

According to our question-

The median is the line in the center of the box, and as you can see from the number line, b's median is higher.

Because the outliers are the small marks at the end and b's marks are closer together, the entire line of b is then shorter and has less variability.

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Because of its more modest reach than Gathering A, Gathering B has a lower generally speaking changeability and a higher middle than Gathering A.

The probability of an event occurring is referred to as probability. We frequently have to make predictions about the future in real life. We may or may not be aware of the outcome of an event.

At the point when this happens, we broadcast that there is plausible that the occasion will happen. In conclusion, probability can be put to great use in business as well as in this rapidly expanding field of artificial intelligence.

By simply dividing the total number of outcomes by the favorable number of possibilities, the probability of an event can be calculated using the probability formula.

Our question says that the line in the middle of the box is the median, and the number line shows that b's median is higher.

The entire line of b is then shorter and has less variability because the outliers are the tiny marks at the end and b's marks are closer together.

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Answer:

2

Step-by-step explanation:

18/(2+7)=18/9=2

Answer:

20%

Step-by-step explanation:

Answer:

6/30 Simplified to 1/5

Step-by-step explanation:

Add the total number of marbles together.

Then put the number of green marbles over the total number of marbles.

Now you want to simplify. 6 is divisible by 6 and equals 1.

30 is also divisible by 6 and equals 5.

Hope this helps.

Answer: -2; -1; 0; 1; 2

\(-8\leq 4n<12\\\\=> -2\leq n<3\)

because n is an integer => n ∈ {-2; -1; 0; 1; 2}

Step-by-step explanation:

Answer is : n ={-2; -1; 0; 1; 2}

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

given that,

-8 ≤ 4n < 12

=> -2≤ n <3

because, n is an integer => n ∈ {-2; -1; 0; 1; 2}

Hence, Answer is : n ={-2; -1; 0; 1; 2}.

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Answer:

this is true, I think so...

Answer:

l=700.4 cm

Step-by-step explanation:

the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

Since each side of the pen is being increased by 4 feet, the total increase in perimeter would be 4 feet multiplied by 4 sides, which equals 16 feet.

To determine how many feet of additional fence Craig should purchase, we need to calculate the increase in the perimeter of the enlarged pen. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

The original size of the pen is an 8 by 8 feet square, which means each side measures 8 feet. The perimeter of the original pen is calculated by adding up the lengths of all four sides, so 8 + 8 + 8 + 8 = 32 feet.

To enlarge the pen, Craig decides to increase each side by 4 feet. After the enlargement, each side of the pen would measure 8 + 4 = 12 feet. The perimeter of the enlarged pen is calculated in the same way, by adding up the lengths of all four sides: 12 + 12 + 12 + 12 = 48 feet.

To find the additional fence Craig needs to purchase, we subtract the original perimeter from the enlarged perimeter: 48 feet - 32 feet = 16 feet. Therefore, Craig should purchase an additional 16 feet of fence to build his enlarged fence.

This calculation is based on the assumption that the pen remains a square shape after enlargement. If the shape of the enlarged pen differs from a square, the calculation would vary.

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Answer:

Region A represents the solution to the system of inequalities.

Answer:

2x - 8

Parts of an equation:

2 - coefficient

x - variable

8 - constant

The number 2 is not a coefficient in the expression. FALSE.

The expression has three terms. FALSE. two terms only: 2x & 8

The variable in the expression is x. TRUE

The number 2 is a constant in the expression. FALSE

The expression has one variable term. FALSE. 2x is term but it's a combination of a number and a letter. Variable term is letter only.

Hello.

The coefficient is the number before a variable (letter)

The constant is also a number.

What's the difference between a constant and a coefficient?

Well, a coefficient is always before a variable, and a constant is just a number (without any variables next to it)

In this case, the variable is x, the number before x is 2, and 8 is the constant.

Therefore, 2 is the coefficient in this expression.

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Hope this helps!

Answer:

a. h = A/w = 2 ³/₄ ft

b. A'/A = 2/3

Step-by-step explanation:

a. What is the total height of the wall? Write an equation to represent the situation. Then solve.

The wall is a rectangle and its area is A = wh where w = width and h = height of wall.

Making h subject of the formula,

h = A/w

Now, Since the area of the retaining wall, A is 23 ³/₈ ft² and its width is the length of the portion of the wall which is brick w is 8 ¹/₂ ft, then

h = A/w

= 23 ³/₈ ft² ÷ 8 ¹/₂ ft

= 187/8 ft² ÷ 17/2 ft

= 187/8 ft² × 2/17 ft

= 187/4 ft² × 1/17 ft

= 187/68 ft

= 2 ³/₄ ft

b. If the area of the brick portion of the wall is 15(7/12), what fraction of the wall is brick? Write an equation to show your work.

Since the area of the brick portion of the wall is A' = 15 ⁷/₁₂ ft²  and the total are of the retaining wall is A =  23 ³/₈ ft²

The fraction of the wall that is brick = A'/A

= 15 ⁷/₁₂ ft² ÷ 23 ³/₈ ft²

= 187/12 ÷ 187/8

= 187/12 × 8/187

= 8/12

= 2/3

Answer with Step-by-step explanation:

a) 2 3/4 ÷ 3 = 11/12 feet

11/12 + 11/12 = 1 5/6

Or, you could write an algebraic equation:

2 3/4 ÷ 3 = x.  (3x = 2 3/4)

x = 11/12

The height of the brick proportion of the wall is 1 5/6

b)

You know that 8 x 2 is 16. Well, you already know that the whole total of fractions, multiplied together, would probably be less that 1 and less than 1/2.

So, your rounded answer should be 16. Or 16 1/2

c)  

Area = 8 1/2 x 2 3/4.

Use Distributive Property to solve the area.

(8 x 2) + (3/4 x 1/2) = x

8 x 2 = 16

3/4 x 1/2 = 3/8

16 + 3/8 = 16 3/8

x = 16 3/8

I think my answer is reasonable because I estimated 16, and 1/2. 3/8 is close to 1/2. That's why my answer is reasonable.

-kiniwih426

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

False. As the variance of the difference scores increases, the t statistic does not necessarily get closer to zero.

The t statistic is calculated by dividing the difference in means by the standard error of the difference. The standard error is influenced by both the sample size and the variance of the difference scores.

If the variance of the difference scores increases while the sample size remains the same, the standard error will also increase.

This means that the t statistic will have a larger denominator, resulting in a smaller t value. However, it does not necessarily mean that the t statistic will approach zero. Other factors, such as the magnitude of the mean difference and the significance level chosen, also play a role in determining the t statistic.

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Answer:

180

Step-by-step explanation:

Keep multiplying 45 until you get a number divisible by 36. This is called the least common multiple.

Answer:

Step-by-step explanation:

that's it?

Answer:

Step-by-step explanation:

6/24, 26/60, 30/90

The required number will be 16

the expression will be like :

hope it helps you cap !!

Anti - Venom

A system of linear inequalities represented by the graph are;

y > x - 2

y < 5x + 1

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

The broken(dashed line) has the y-intercept as -2.

The slope is;

m = (0 - (-2))/(2 - 0)

m = 1

However, it is shaded above the line which means the equation is;

y > x - 2

The second line which is a solid line has the y-intercept as 1.

The slope is calculated as;

m = (-4 - 1)/(-1 - 0)

m = 5

The shaded part is below the line which denotes;

y < 5x + 1

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1. 8a+24

2. .12e

ill edit it when get the other answers

Brainiest? pls

Answer:

A

Step-by-step explanation:

Answer: B: the length of the wooden sides of the garden box

Step-by-step explanation:

because if she is going to plant flowers she will need to know how big the box she would need for her plants

Answer:

B

Step-by-step explanation:

At - infinity, the function will tend to 0 and at +infinity, the function will tend to +infinity. Those are the two extremas of the function and extremas define the range. Range is all positive real number

300 + .75x

x = number of large coffees ordered