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Use the drawing tools to form the correct answer on the provided number line.
Daniel is buying gas for his car. Gas costs $2.50 per gallon. Daniel typically spends around $30 to fill his gas tank, with a variance of up to $3.
Write an inequality to model this situation. Then use the Inequality to display the range of possible gallons of gas that Daniel will buy.

The shipping arrangement which minimizes costs will be 1.5x + 1.2y + 0.8z + 1.1(240 - x - y - z) subject to

x + z + s1 = 160

y + (240 - x - z) + s2 = 90

x - 100 + s3 = 0

y - 140 + s4 = 0

The minimum cost is $372.00.

There will be product left in either warehouse after fulfilling the orders.

Let x be the number of sheets delivered from the north-side warehouse to Customer A,

Let y be the number of sheets delivered from the north-side warehouse to Customer B and z be the number of sheets delivered from the south-side warehouse to Customer A.

Then the objective function to be minimized is:

1.5x + 1.2y + 0.8z + 1.1(240 - x - y - z).

There will be 60 sheets of drywall board left in the north-side warehouse and 70 sheets left in the south-side warehouse after fulfilling the orders.

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To calculate the covariance and correlation coefficient of U and V, we need to first find the expected value and variance of U and V.

The covariance of two variables is a gauge of their relationship. In other words, it is a measure of how much the values of two variables tend to fluctuate together. Positive covariance shows that the values of the two variables tend to rise or decrease together, whereas negative covariance indicates that the values of one variable tend to increase when the values of the other variable drop. In probability theory and statistics, covariance is frequently employed to determine the association between two variables. It is determined by multiplying the variances of the two variables from their respective means and dividing the result by the total number of observations. This metric can be helpful for seeing trends and patterns in data and aiding analysts in forecasting.

How to solve?

The expected value of U is $E[U] = E[2 - X_1 - 2X_2] = 2 - m - 2m = -2m. Similarly, the expected value of V is $E[V] = E[3 + 3X_2 - X_3] = 3 + 3m - m = 4m.

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To calculate the value of covariance and correlation coefficient of U and V, we have to find their expected value along with variance.

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other.

When one variable changes, covariance shows the link between the other two variables. Both variables are said to have positive covariance if a rise in one causes an increase in the other. Reduced values of one variable also result in reduced values of the other.

for expected value of U ;

= $E[U]

= E[2 - X_1 - 2X_2]

= 2 - m - 2m = -2m.

Similarly, the expected value of V;

= $E[V]

= E[3 + 3X_2 - X_3]

= 3 + 3m - m

= 4m.

now we can easily calculate the covariance and correlation coefficient of U,V.

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Answer:

the answer is ice cream parlor and town hall

Step-by-step explanation:

because if you for 3 times right and 3 times up from ice cream parlor it will land to town hall

Answer:

.............................

The amount of interest that the customer will pay is given as follows:

$31.88.

The balance of an account after t periods is given as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

Hence the interest accrued is given as follows:

I(t) = Prt.

The parameters for this problem are given as follows:

P = 2530.16, r = 0.00042, t = 30.

Hence the interest is given as follows:

I(30) = 2530.16 x 0.00042 x 30

I(30) = $31.88.

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Answer:

There is no answer for 'x'

Step-by-step explanation:

x + 6 = 9+x  subtract 'x' from both sides

6 = 9    this is NOT true ....there is no answer

Answer:

Angle BOC = 120°

Angle DOC = 60°

Angle ODC = 90°

Step-by-step explanation:

Triangle ABC is an equilateral triangle, therefore Angle BAC = 60°.

Now that we know Angle BAC, we can find Angle BOC: 2 × 60 = 120°

Angle DOC = ½ Angle BOC ( Radius drawn from centre to midpoint of chord, bisect the angle)

So Angle DOC = ½ (120) = 60°

Angle = 90° because D is the midpoint of chord BD and OD is a radius.

Answer:

its c trust me. ive seen some stuff like this before

Answer:

x= 154°

Step-by-step explanation:

since the interior angle sum of a triangle is 180°, we can subtract the interior angles we already have from 180°

so, 180-108-46= 26° which gives us our missing interior angle.

then, we see the straight line is 180° where we need x.

so, we subtract 26 from 180 which leaves us with 154.

therefore, x= 154°

Answer:

Step-by-step explanation: since the 1.5 is suppose to be on the x axis, you plot the point between 1 and 2. Ten you go down to the y axis since it is negative and plot it between -2 and -3.

click the file below to see the answer:

The expressions that represent the derivative of the function y = f(x) are dy/dx, l'(x), and lim h->0 [f(x+h) - f(x)]/h. These expressions show the rate of change of y with respect to x at any given point on the function.

The other expressions, such as S(x) + f(h), xth dh/dx, lim 10 f(x) + f(h) x+h, and lim 1-0 F(x +h)-f(x)/h, are not equivalent to the derivative of the function. It is important to understand and use the correct expressions for the derivative in order to accurately analyze and interpret the behavior of a given function.

The expressions that represent the derivative of the function y = f(x) are:

1. lim (x→0) [f(x + h) - f(x)] / h
2. dy/dx
3. f'(x)
4. dh/dx

These expressions are used to describe the rate of change of the function y = f(x) with respect to the variable x. They can be used to find the slope of the tangent line to the curve at any given point or to analyze the behavior of the function.

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A continuous random variable is a variable that can take any value within a certain range or interval. In contrast, a discrete random variable can only take on certain specific values.

In the context of houses, the number of bedrooms is an example of a discrete random variable, since a house can only have a whole number of bedrooms (1, 2, 3, etc.). Similarly, the zip code of a house is also a discrete random variable, since zip codes are predetermined and finite.

On the other hand, the square footage of a house is an example of a continuous random variable. This is because the square footage of a house can take on any value within a certain range (e.g. from 500 to 5000 square feet). There is no specific value that the square footage must be - it can be any number within that range.

To summarize, the square footage of a house is an example of a continuous random variable because it can take on any number within a certain range, whereas the number of bedrooms and zip code are examples of discrete random variables since they can only take on specific, predetermined values.

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Answer:

the length and width of rectangle could be (3cm and 7 cm ) & (1cm and 21cm) respectively.

The missing angles and side measures are:

Angle A = 40°

Angle C = 70°

Side AC = 12 cm

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is an isosceles triangle.

This means,

Two sides of the triangle are equal and the angle opposite to the sides are also equal.

Now,

Angle C and Angle B are equal.

Angle C = Angle B = 70°

The sum of the three angles is 180 degrees.

Angle A + Angle B + Angle C = 180

Angle A + 70 + 70 = 180

Angle A = 180 - 140

Angle A = 40°

Thus,

The angles of the triangle are 70, 70, and 40.

The sides of the triangle are 12 cm, 12 cm, and 8 cm.

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One ream of paper refers to a standardized quantity of paper that typically consists of 500 sheets of paper of a specific size and weight.

A ream of paper is a commonly used quantity in the paper industry and refers to a standardized amount of paper. A ream usually consists of 500 sheets of paper of a specific size and weight. The size and weight of the paper may vary depending on the intended use, but the most common size for a ream of printer paper is 8.5 x 11 inches, also known as "letter size." One ream of paper is often used as a baseline for pricing and ordering paper products. For example, if you were to order "10 reams of paper," you would receive 5,000 sheets of paper.

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Answer:

It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

Step-by-step explanation:

The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.

In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

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Answer:

SSS

Step-by-step explanation:

All sides with the same amount of lines are congruent

Answer:

18

Step-by-step explanation:

3=48/16

48/16 + 3/8 (6/16) = 54/16

54÷3=18

answer is 18 students

Answer:

it is d i took the quiz

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i took the quiz

The equation for a multiple regression model with p predictor variables (x1, x2, ..., xp) and a response variable (y) can be written as:

y = β0 + β1*x1 + β2*x2 + ... + βp*xp + ε

In this equation:

- y represents the response variable (the variable we are trying to predict).

- β0 represents the y-intercept or the constant term.

- β1, β2, ..., βp represent the coefficients or weights associated with each predictor variable (x1, x2, ..., xp).

- x1, x2, ..., xp represent the predictor variables.

- ε represents the error term or residual, which accounts for unexplained variation in the model.

The multiple regression model aims to estimate the relationship between the predictor variables and the response variable by finding the best-fitting values for the coefficients β0, β1, β2, ..., βp.

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Answer:

Triangle is isosceles, so the angles opposed to equal sides are equal, so you can write down a condition, in this case y=42 (the two equal angles are marked with the line). x is found by difference, since the internal angles sum to 180, and it's the solution to x + 42 + 42 = 180, so 96.

Most of these kind of problems are solved with this system: identify if there are equal angles (ie, they're part of an isosceles triangle, or if they are opposite by a vertex) and write equations based on them

To determine the median number of texts sent by students from the box plot, we locate the middle value on the plot, which is the median. In this case, the median is represented by the horizontal line inside the box.

To find the interquartile range (IQR), we calculate the difference between the first quartile (Q1) and the third quartile (Q3). Q1 is the lower boundary of the box, and Q3 is the upper boundary.If the box plot is symmetric, it means that the whiskers on both sides of the box are roughly equal in length, indicating a balanced distribution. To determine if the data set is symmetric, we assess if the box is centered within the whiskers. If it is, then the data set is symmetric. Based on the provided information, we can determine the median and IQR, but without the actual box .

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Answer:

D.) 68 ft²

Step-by-step explanation:

8×(10-2) + 2×2

8×8 + 4

64 + 4

68 ft²

None of the statements A, B, or C can be determined to be true based on the given information. we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

To determine which statement is true, let's analyze the given information.  We have:

P(B) = 4/1

P(A∪B) = 2/1

P(A|B) = 3/2

Let's evaluate each statement:

A) P(A) = 3/1

This statement is not directly supported by the given information. We cannot determine the value of P(A) solely based on the provided probabilities.

B) P(A∩B) = 12/1

This statement is also not supported by the given information. We do not have enough information to determine the value of P(A∩B).

C) P(B|A) = 5/1

This statement is not supported by the given information. We do not have any direct information about P(B|A), so we cannot determine its value.

D) A and B are not independent.

To determine whether A and B are independent, we can check if P(A∩B) = P(A) * P(B). However, as mentioned earlier, we do not have enough information to determine the value of P(A∩B). Therefore, we cannot conclude whether A and B are independent based on the given information.

In summary, none of the statements A, B, or C can be determined to be true based on the given information. The only conclusion we can draw is that we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.

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Answer:

1.75 hours :)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer: y = \(\frac{1}{2} x\) - 3

Step-by-step explanation: