True or false: The normal distribution is completely described by the average and standard deviation.

Linear programming (LP) is a mathematical technique used to solve optimization problems. The linear programming problem consists of three components: objective function, decision variables, and constraints.

Formulating a linear programming model for the given problem with an appropriate objective function:

Decision Variables:

x = number of doors to be made

y = number of windows to be made

z = number of tables to be made

Objective Function:

Let’s take the profit as the objective function. The carpenter receives $100 for selling one door, $175 for selling one window, and $150 for selling one table. Every door is sold with exactly 2 windows since the room needs more ventilation. Therefore, the profit function is:

Profit Function = 100x + 175(2x) + 150z

Constraints:

Let's formulate the constraints for the given problem. The carpenter has 150 units of wood, 175 units of fiber, and 150 units of glass. A door needs 3 units of wood, 4 of fiber, and 5 of glass. A window uses 3 units of glass, 4 of fiber, and 5 of wood. A table needs only 5 units of wood and 2 units of glass. Carpenter needs at least $2000 in revenue from customers. To have the required strength, the ratio between the units of wood used to produce doors and glass used to produce tables is 1 to 2.

Therefore, the constraints are:

3x + 5y + 5z ≤ 150 (wood constraint)

4x + 4y ≤ 175 (fiber constraint)

3y + 5x ≤ 150 (glass constraint for doors and windows)

2z + 5x ≤ 150 (glass constraint for tables)

5x ≤ 150 (strength constraint)

100x + 175(2x) + 150z ≥ 2000 (revenue constraint)

Therefore, the linear programming model for the given problem with an appropriate objective function is:

Maximize Profit Function = 100x + 175(2x) + 150z

Subject to the constraints:

3x + 5y + 5z ≤ 150

4x + 4y ≤ 175

3y + 5x ≤ 150

2z + 5x ≤ 150

5x ≤ 150

100x + 175(2x) + 150z ≥ 2000

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Answer:

57.50

287.50

61.81

29.83

pretty sure the last 2 are wrong ._.

20% 46 =9.2

5%=2.3

25%=11.5

46+11.50=57.50

57.50x5=287.50

2% 57.50=1.15

.5%=0.2875 (0.29)

1.15+0.29+2.3=3.74

57.50+3.74=61.81

94.06-61.81=32.25

5%=1.6125(1.61)

2%=0.645(0.65)

.5%=0.16125(0.16)

1.61+0.65+0.16=2.42

32.25-2.42=29.83

idk how taxes work so this makes me look very dumb

The correct answer is C. A 2-column table with 3 rows. Column 1 is labeled x with entries negative 5, 0, 3. Column 2 is labeled y with entries negative 18, negative 2, 10.

Explanation:

The purpose of an equation is to show the equivalence between two mathematical expressions. This implies in the equation "–2 + 4x = y" the value of y should always be the same that -2 + 4x. Additionally, if a table is created with different values of x and y the equivalence should always be true. This occurs only in the third option.

   x                 y

   5                -18    

   0                -2

   3                 10

First row:

-2 + 4 (5) = y  (5 is the value of x which is first multyply by 4)

-2 + 20 = -18 (value of y in the table)

Second row:

-2 + 4 (0) y

-2 + 0 = -2

Third row:

-2 + 4 (3) = y

-2 + 12 = 10

Answer:

it is c

Step-by-step explanation:

The correct answer is c. Line graphs show the change in one or more variables progressively across time.

Histograms show the distribution of data, pie charts show the proportions of a whole, bar charts compare categories or groups, and diagrams show the relationships between different elements.

The correct answer is c. Line graphs show the change in one or more variables progressively across time

A histogram is a visual depiction of data distribution in statistics. The histogram is shown as a collection of neighbouring rectangles, where each bar represents a certain type of data. Numerous fields use statistics, which is a branch of mathematics. Frequency, which can be expressed as a table and is known as a frequency distribution, is the repeating of numbers in statistical data.

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Line graphs show the change in one or more variables progressively across time. C

A line graph is a type of chart that displays data as a series of data points connected by straight lines.

The horizontal axis of the graph typically represents time, while the vertical axis represents the value of the variable being measured.

By connecting the data points with lines, a line graph can show the trend or pattern of change in the variable over time.

Line graphs are commonly used in fields such as economics, finance, and science to visualize trends in data over time.

They can be used to identify patterns, compare different variables, or forecast future trends.

In contrast, histograms, pie charts, bar charts, and diagrams are different types of charts that are used to display data in different ways.

Histograms are used to show the distribution of data within a single variable, while pie charts and bar charts are used to compare different categories or groups of data.

Diagrams are used to represent complex systems or relationships, often using visual symbols or icons to represent different components.

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The decorative mug at airport costs $10.99 and costs 70.99 Yuan. in China.

Let's choose the decorative mug with a cost of $10.99 and the country China with an exchange rate of 6.4651 Yuan per US dollar. To convert the cost of the decorative mug into Yuan, we need to multiply the cost by the exchange rate:

Cost in Yuan = $10.99 × 6.4651 Yuan/US dollar

Cost in Yuan = 70.986849 Yuan

Therefore, the cost of the decorative mug in China is 70.986849 Yuan. The exchange rate refers to the value of one currency for the purpose of conversion to another currency. It represents the amount of one currency that can be exchanged for a unit of another currency.

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Complete Question

The cost of the five most popular items at an airport gift shop includes a $10.99 decorative mug, a $3.99 postcard, a $4.59 keychain, a $16.29 t-shirt, and a $7.89 teddy bear. Everleigh is interested in seeing the cost of the items in another currency. The most current currency conversion rates for 1 U.S. dollar are the following:

Country:

China

Denmark

Sweden

Name of currency:

Yuan(china)

Krone(Denmark)

Krona(Sweden)

Exchange rate:

6.4651(china)

6.3394(Denmark)

8.6964(Sweden)

Choose one airport gift shop souvenir and one country. Convert the cost of the chosen souvenir into the currency of that country. Show all necessary mathematical calculations.

Answer:

1. 10L

2.

\(( \frac{p}{10} ) - 9\)

Step-by-step explanation:

let length be L.

let width be W.

W = 4L

Perimeter = 2L + 2W

P = 8L + 2L

P = 10L

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:-0.125

Step-by-step explanation:

The average change in water volume is -0.125 liter per day.

The antiderivative of 70xe^(7x^2) is 5e^(7x?) + C, where C represents the constant of integration.

To find the antiderivative of the function 70xe^(7x^2), we need to take the derivative of each answer choice and determine which one yields the original function.

Let's evaluate the derivatives of the given answer choices one by one:

5e^(49x^2) + C

The derivative of this function with respect to x is:

d/dx [5e^(49x^2) + C] = 2x * 5e^(49x^2) = 10xe^(49x^2)

5xe^(7x)?

The derivative of this function with respect to x is:

d/dx [5xe^(7x)?] = 5e^(7x?) + 5xe^(7x?) * d/dx [7x?] = 5e^(7x?) + 35xe^(7x?)

5e^(7x)?

The derivative of this function with respect to x is:

d/dx [5e^(7x)?] = 0 + 5xe^(7x?) * d/dx [7x?] = 5xe^(7x?)

10e^(7x^2) + C

The derivative of this function with respect to x is:

d/dx [10e^(7x^2) + C] = 14x * 10e^(7x^2) = 140xe^(7x^2)

Comparing the derivatives of the answer choices to the original function 70xe^(7x^2), we can see that only the second option, 5e^(7x?), yields the correct derivative.

Therefore, the antiderivative of 70xe^(7x^2) is 5e^(7x?) + C, where C represents the constant of integration.

It's important to note that when evaluating the antiderivative, we need to consider the constant of integration, denoted as C. The constant of integration arises because the derivative of a constant is zero, so when we integrate a function, we need to include a constant term to account for all possible antiderivatives.

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The reason for each step to justify it is:

Division Property of Equality: This step involves dividing both sides of the equation by 4 to isolate the variable term on one side of the equation.

The step involved here is: (w+25)/4

Multiplication Property of Equality: This step involves multiplying both sides of the equation by 4 to simplify the equation and cancel out the denominator.
The step involved here is: 4*(w+25)

Addition Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term on one side of the equation.

The step involved here is: w+25

Simplifying: This step involves simplifying the expression by combining like terms and performing arithmetic operations to simplify the equation.

The step involved here is: w+25-25=12-25

Subtraction Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term and solve for the variable.

The step involved here is: w=-13

What is meant by division?

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is represented by the symbol ÷ or / and is the inverse operation of multiplication. Division can be used to solve problems related to sharing, fractions, and ratios.

What is meant by multiplication?

Multiplication is a mathematical operation that involves adding a number to itself a certain number of times. It is represented by the symbol × or * and is the inverse operation of division. Multiplication can be used to solve problems related to scaling, area, volume, and rates.

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The value of the given inequality is x≥16.

A connection in mathematics that compares two numbers or other mathematical expressions unequally is known as an inequality. [1] It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are used:

A less than symbol (a b) indicates that an is less than b.

A bigger value than b is indicated by the notation a > b.

In either scenario, a and b are not equal. In these relationships, an is strictly less than or strictly greater than b, which is known as a strict inequality[1]. Comparability is not included.

Two kinds of inequality relations are looser than strict inequalities:

We have inequality

x-4≥12

add 4 on both sides

x-4+4≥12+4

x≥16

Hence,

The value of the given inequality is x≥16.

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In a right-angle triangle, a sine function of an angle θ is equal to the opposite side to θ divided by hypotenuse.

Sin θ = Opposite side/Hypotenuse

y = f(x) → x in the domain of f. Trigonometric functions are periodic, therefore each range value is within the limitless domain values (no breaks in between). Since trigonometric functions have no restrictions, there is no inverse.

The inverse sine function (also called arcsine) is the inverse of sine function. Since sine of an angle (sine function) is equal to ratio of opposite side and hypotenuse, thus sine inverse of same ratio will give the measure of the angle. Let’s say θ is the angle, then:

sin θ = (Opposite side to θ/Hypotenuse)

Or θ = Sin-1 (Opposite side to θ/Hypotenuse)

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Answer:

9 and 1/3

Step-by-step explanation:

0.375 = 3/8

You can write the question as:

3.5/(3/8)

(7/2)/(3/8)

—> times to get denominator of 16

(56/16)/(6/16)

(56/16) x (16/6)

the 16 cancels out so we are left with:

56/6,

54/6 = 9

2/6 = 1/3

Therefore the answer is 9 + 1/3 = 9 and 1/3

Answer:step one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2+17x+72=12

x= -5 and -12

Keith is correct.

Answer:

I think Keith solved it correctly.

Step-by-step explanation:

x= -12 and that was one of keiths answers so he's right.

-12+12= 0

5 and 12

Answer:

YE

Step-by-step explanation:

289

Answer:

Infinitely many solutions

Answer: 8oz of the 20% and 12oz of the 70%

Step-by-step explanation:

(20*x) + (70*(20-x)) / 20 = 50

(20x +1400-70x) / 20 =50

20x +1400-70x  = 1000

50x=400

x=8

20-8=12

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Answer:

cant see the picture

Step-by-step explanation:

Answer:

1/1000

Step-by-step explanation:

Answer:

I believe it would just be 5/6.

Step-by-step explanation:

In a six-sided dice, there are five numbers less than 6!

Step-by-step explanation:

sum of dice=1+2+3+4+5+6=21

sum of two sided dice=21(2)=42

sum of numbers less than 6=1+2+3+4+5=15

probability of two numbers less than 6=2/12=1/6

Answer:

Step-by-step explanation:

3% of 66.7 is 2.001 or 2.00

18% of 66.7 is 12.006 or 12.01

Using Algebraic expression solution ,

The cost of three hats is $18 .

We have given that,

A hat company charge for design fee $4 per hat .

i.e design fee of one hat = $4

total cost of 5 hats = $30

let the cost of one hat without design fee be $x and total cost of one hat is $(x+4) .

using the above statement, we get an algebraic expression,

5( x+ 4)= 30

we solve the above algebra expression,

=> 5x + 20 = 30

=> 5x = 10

=> x = 2

so, cost of a hat without design fee is $2

and total cost of one hat is $6.

we have to calculate cost of 3 hats .

cost of one hat in hat company= $ 6

cost of three hats in hat company= $(6×3)

= $18

Hence, the total cost of 3 hats is $18.

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A)The 90% confidence limits for the population mean is [28.37, 31.63].B)The 99% confidence limits for the population mean is [27.87, 32.13].

a) Calculation of 90% Confidence Limits:For a 90% confidence interval, the level of significance α = 0.10 / 2 = 0.05 in each tail (as there are 2 tails).

Using the following formula for confidence limits:µ - zα/2(σ/√n) ≤ µ ≤ µ + zα/2(σ/√n)

Where,µ = sample mean

X = 30kg

σ2 = 6.8kg

n = 22 degrees of freedom since there are 22 lambs.

zα/2 = 1.645 (from Z table as α = 0.05)

Substituting the values, the confidence interval is calculated as follows:

30 - 1.645(√6.8/√22) ≤ µ ≤ 30 + 1.645(√6.8/√22)

28.37 ≤ µ ≤ 31.63

Therefore, the 90% confidence limits for the population mean is [28.37, 31.63].

b) Calculation of 99% Confidence Limits:

For a 99% confidence interval, the level of significance α = 0.01 / 2 = 0.005 in each tail (as there are 2 tails).Using the following formula for confidence limits:

µ - zα/2(σ/√n) ≤ µ ≤ µ + zα/2(σ/√n)

Where,µ = sample mean

X = 30kgσ2 = 6.8kg

n = 22 degrees of freedom since there are 22 lambs.

zα/2 = 2.576 (from Z table as α = 0.005)

Substituting the values, the confidence interval is calculated as follows:30 - 2.576(√6.8/√22) ≤ µ ≤ 30 + 2.576(√6.8/√22)

27.87 ≤ µ ≤ 32.13

Therefore, the 99% confidence limits for the population mean is [27.87, 32.13].

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The alternative hypothesis states that the difference is greater than zero.

What Are Tails in a Hypothesis Test?

First, we need to cover some background material to understand the tails in a test. Typically, hypothesis tests take all of the sample data and convert it to a single value, which is known as a test statistic. You’re probably already familiar with some test statistics.

For example, t-tests calculate t-values. F-tests, such as ANOVA, generate F-values. The chi-square test of independence and some distribution tests produce chi-square values. All of these values are test statistics.

Keep in mind that this t-distribution assumes that the null hypothesis is correct for the population. Consequently, the peak (most likely value) of the distribution occurs at t=0, which represents the null hypothesis in a t-test. Typically, the null hypothesis states that there is no effect. As t-values move further away from zero, it represents larger effect sizes. When the null hypothesis is true for the population, obtaining samples that exhibit a large apparent effect becomes less likely, which is why the probabilities taper off for t-values further from zero.

Hence the answer is the alternative hypothesis states that the difference is greater than zero.

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Answer:

1232 yards or 3696 feet or 44352 inches or 0.7 of a mile

Step-by-step explanation:

Answer:

The answer is

\( \huge \frac{2}{3} \\ \)

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)

From the question we have

\(m = \frac{10 - 6}{4 - - 2} = \frac{4}{4 + 2} = \frac{4}{6} = \frac{2}{3} \\ \)

We have the final answer as

\( \frac{2}{3} \\ \)

Hope this helps you

look at he picture it is the first one just read at the bottom and that is the answer

Step-by-step explanation: