A study was done to determine whether the gender of the credit card holder was an important fac- tor in generating profit for a certain credit card com- pany. The variables considered were income, the num- ber of family members, and the gender of the card holder. The data are as follows: Family Profit Income Gender Members 157 45,000 M -181 55,000 M 2 -253 45,800 M 4 158 38,000 M 3 75 75,000 M 4 202 99,750 M 4 -451 28,000 M 1 146 39,000 M 2 89 54,350 M 1 -357 32,500 M 1 522 36,750 F 1 78 42,500 F 3 5 34,250 F 2 -177 36,750 F 3 123 24,500 F 2 251 27,500 F 1 -56 18,000 F 1 453 24,500 F 1 288 88,750 F 1 -104 19,750 F 2 (a) Fit a linear regression model using the variables available. Based on the fitted model, would the company prefer male or female customers? (b) Would you say that income was an important fac- tor in explaining the variability in profit? NNN

Answer:

- 12p - 6

Step-by-step explanation:

2(- 2 - 4p) + 2(- 2p - 1) ← distribute both parenthesis

= - 4 - 8p - 4p - 2 ← collect like terms

= - 12p - 6

The equation 4x² + 3xy + 8 represents how many cans of food the three companions have so far gathered.

The phrase 5x² - 8xy - 2 indicates how many more cans the buddies need to gather to reach their goal.

A statement with more than two variables or integers can be written as an expression using addition, subtraction, multiplication, and division operations.

An example is the formula 2 + 3 x + 4 y = 7.

We've got

The phrase represents their intended canned food collection:

9x² − 5xy + 6 ______(A)

Cans gathered, number:

(1) Jessa = 3xy - 7.

Tyree = 3x²plus 15 ___(2)

Ben = x² ______(3)

The phrase that describes how many cans of food the three buddies have so far amassed is as follows:

We obtain from (1), (2), and (3),

3xy - 7 + 3x² + 15 + x²

4x² + 3xy + 8 ____(B)

The phrase expresses how many more cans the companions still need to gather in order to reach their objective:

We obtain from (A) and (B),

9x² − 5xy + 6 - (4x² + 3xy + 8)

= 9x² − 5xy + 6 - 4x² - 3xy - 8

= 5x² - 8xy - 2

Thus,

The equation 4x² + 3xy + 8 represents how many cans of food the three companions have so far gathered.

The phrase 5x² - 8xy - 2 indicates how many more cans the buddies need to gather to reach their goal.

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Answer:

i believe it is either A/B but i think A

Step-by-step explanation:

Answer:

495 miles

Step-by-step explanation:

The answer is "141.17647058823529411764705882353", hope this helps! Please Mark me the brainliest! ☺

Answer:

2 hours

Step-by-step explanation:

Distance = Rate * Time

If we replace these with the numbers in the problem and use "t" as the variable, it becomes:

30 miles = 15 mph * t

Now, to solve:

30 = 15t

divide both sides by 15

t = 2

add the units

time = 2 hours

If the experiment uses a sample of university students, it would likely not have a  a. external validity.

External validity refers to the extent to which the findings from a study can be generalized to a larger population or real-world settings.

If an experiment uses a sample of graduate college students to study how consumers choose life insurance policies,

It is likely that the findings may not accurately represent the broader population of consumers.

Graduate college students may have different characteristics, preferences,

And decision-making processes compared to the general population when it comes to life insurance policies.

Laboratory validity (b), internal validity (c), and extraneous validity (d) are not relevant to the issue of representativeness of the sample.

Laboratory validity refers to the extent to which the experimental conditions accurately represent real-world situations.

Internal validity refers to the extent to which the experiment allows for causal inferences within the study itself.

Extraneous validity is not a recognized term in experimental design.

Therefore, the correct answer for an experiment uses a sample of university students is a. external validity.

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The above question is incomplete, the complete question is:

an experiment is designed to test how consumers go about choosing life insurance policies. if this experiment uses a sample of graduate college students, it would likely not have an experiment is designed to test how consumers go about choosing life insurance policies. if this experiment uses a sample of graduate college students, it would likely not have a. external validity b. laboratory validity c. internal validity d. extraneous validity e. it would have all of these

The statement holds true for n = k + 1, and by induction it must be true for all n ≥ 1.This statement can be expressed mathematically as follows: ∑n = n(n+1)/2, for all n ≥ 1.

The statement that is stronger than what needs to be proven is that for all integers n ≥ 1, the sum of the first n natural numbers is equal to n(n+1)/2. This can be expressed in a form suitable for application of the principle of mathematical induction as follows: For n = 1, the statement holds true since 1 = 1(1+1)/2. Assume the statement is true for n = k, i.e.1 + 2 + 3 + ... + k = k(k+1)/2Now, consider n = k + 1.We have 1 + 2 + 3 + ... + k + (k + 1) = k(k+1)/2 + (k + 1) = (k + 1)(k + 2)/2Therefore, the statement holds true for n = k + 1, and by induction it must be true for all n ≥ 1.This statement can be expressed mathematically as follows: ∑n = n(n+1)/2, for all n ≥ 1.

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Answer:

What is the question?

Step-by-step explanation:

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer: y=235x+15

Step-by-step explanation:

Plug in 4 for x

Y= 235(4)+15

Y= 955

For the polynomials p(x) = 1 - x + 4x² and q(x) = x - x², (p, q) = 10, ||p|| = √18, ||a|| = √18, and d(p, q) cannot be determined. For the vectors u = (0, 2, 3) and v = (2, 3, 0), (u, v) = 6, ||u|| = √13, ||v|| = √13, and d(u, v) cannot be determined.

In the first scenario, we have p(x) = 1 - x + 4x² and q(x) = x - x². To find (p, q), we substitute the coefficients of p and q into the inner product formula:

(p, q) = (1)(0) + (-1)(2) + (4)(3) = 0 - 2 + 12 = 10.

To calculate ||p||, we use the formula ||p|| = √((p, p)), substituting the coefficients of p:

||p|| = √((1)(1) + (-1)(-1) + (4)(4)) = √(1 + 1 + 16) = √18.

For ||a||, we can use the same formula but with the coefficients of a:

||a|| = √((1)(1) + (-1)(-1) + (4)(4)) = √18.

Lastly, d(p, q) represents the distance between p and q, which can be calculated as d(p, q) = ||p - q||. However, the formula for this distance is not provided, so it cannot be determined. Moving on to the second scenario, we have u = (0, 2, 3) and v = (2, 3, 0). To find (u, v), we use the given inner product formula:

(u, v) = (0)(2) + (2)(3) + (3)(0) = 0 + 6 + 0 = 6.

To find ||u||, we use the formula ||u|| = √((u, u)), substituting the coefficients of u:

||u|| = √((0)(0) + (2)(2) + (3)(3)) = √(0 + 4 + 9) = √13.

Similarly, for ||v||, we use the formula with the coefficients of v:

||v|| = √((2)(2) + (3)(3) + (0)(0)) = √(4 + 9 + 0) = √13.

Unfortunately, the formula for d(u, v) is not provided, so we cannot determine the distance between u and v.

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The absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

To find the absolute maximum and minimum of a function on a closed interval [a, b], we need to evaluate the function at its critical points (where the derivative is zero or undefined) and at the endpoints of the interval, and then compare the values.

First, we find the derivative of f(x):

f'(x) = 3x^2 - 4x - 4

Setting f'(x) = 0 to find the critical points:

3x^2 - 4x - 4 = 0

Using the quadratic formula, we get:

x = (-(-4) ± sqrt((-4)^2 - 4(3)(-4)))/(2(3))

x = (-(-4) ± sqrt(64))/6

x = (-(-4) ± 8)/6

x = -2/3 or x = 2

Next, we evaluate f(x) at the critical points and the endpoints of the interval:

f(-1) = 11

f(3) = 10

f(-2/3) = 22/27

f(2) = -5

Therefore, the absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

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The absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

To find the absolute maximum and minimum of a function on a closed interval [a, b], we need to evaluate the function at its critical points (where the derivative is zero or undefined) and at the endpoints of the interval, and then compare the values.

First, we find the derivative of f(x):

f'(x) = 3x^2 - 4x - 4

Setting f'(x) = 0 to find the critical points:

3x^2 - 4x - 4 = 0

Using the quadratic formula, we get:

x = (-(-4) ± sqrt((-4)^2 - 4(3)(-4)))/(2(3))

x = (-(-4) ± sqrt(64))/6

x = (-(-4) ± 8)/6

x = -2/3 or x = 2

Next, we evaluate f(x) at the critical points and the endpoints of the interval:

f(-1) = 11

f(3) = 10

f(-2/3) = 22/27

f(2) = -5

Therefore, the absolute maximum of f(x) on [−1, 3] is (−1, 11), and the absolute minimum is (2, −5)

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Answer:

In attachment I have answered this problem.

Answer:

Hope this helps you friends.

Answer: x= -30

Step-by-step explanation:

we need to find x, so we have to single out x. Our equation is

-3/5x-3=15 add 3 from both sides to get x alone.

        +3  +3

-3/5x = 18 next multiply both sides by 5 to remove the denominator from -3/5x.

5(-3/5x)= (18)5. Note: Repsect the equal sign and mulplity both sides. whatever happens to one side happens to the other.

-3x=90 divide both sides by -3 to get x alone.

x= -30

Answer:

this is how I got -30

hope it helps!

Your needs are essential expenses such as rent, utilities, groceries, and transportation.

These should be prioritized in your budget as they are necessary for your survival. On the other hand, your wants are non-essential expenses such as eating out, entertainment, and shopping. While it is important to treat yourself, it is also important to allocate a reasonable amount of money towards your wants. Needs and wants play a crucial role in creating a budget. A budget helps allocate financial resources according to one's priorities. Needs are essential items required for daily living, such as housing, food, and utilities. Wants are desires or non-essential items, like vacations or entertainment. While creating a budget, it's important to prioritize needs over wants to ensure financial stability. Understanding the difference between the two and allocating funds accordingly helps in maintaining a balanced lifestyle, promoting healthy spending habits, and achieving long-term financial goals. A well-structured budget ensures that you can fulfill both your needs and some wants within the allotted resources.

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Needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

When creating a budget, your needs and wants play a crucial role in determining how you allocate your financial resources. Here's how they factor in:

Identifying Needs: Your needs are the essential expenses required for your basic well-being and survival. These typically include housing, utilities, food, transportation, healthcare, insurance, debt repayments, and other necessary expenses. Understanding your needs helps you prioritize allocating funds to cover these essential costs first. Ensuring your needs are met is the foundation of any budget.

Prioritizing Wants: Wants, on the other hand, are things you desire or would like to have but are not essential for your survival or basic well-being. This category includes discretionary expenses such as entertainment, dining out, travel, hobbies, luxury items, and other non-essential purchases. While wants are not as critical as needs, they contribute to your overall quality of life. Allocating a portion of your budget for wants allows you to enjoy these extras within your financial means.

Trade-offs and Decision Making: Budgeting requires making decisions about how to allocate limited resources. By considering your needs and wants, you can evaluate trade-offs between various expenses. If your needs are not being fully met within your current budget, you may need to reduce or eliminate some wants temporarily to ensure your essential expenses are covered. On the other hand, if your needs are comfortably met, you have more flexibility to allocate funds toward wants or savings.

Flexibility and Adjustments: Needs and wants can evolve over time. When creating a budget, it's important to regularly reassess and adjust it to align with your changing circumstances and priorities. For instance, if your income increases, you might have more room to allocate additional funds toward wants or savings. Similarly, if your needs change, such as due to a job loss or a new family member, you may need to make adjustments to ensure your budget remains sustainable.

In summary, needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

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Answer:

The number of possible triangles that can be formed is 132 triangles

Step-by-step explanation:

Given that there are 6 points in line a and 4 points on line b

Number of points on line a = 6

Number of points on line b = 4

To form a triangle, firstly we select 2 points from line a and one point from line b as follows;

Number of ways to select 2 points from 6 = ₆C₂ = 15 ways

Number of ways to select 1 points from 4 = ₄C₁ = 4 ways

The number of triangles = 15×4 = 60 triangles

Next we form triangles by selecting 2 points from line b and one point from line a as follows;

Number of ways to select 2 points from 4 = ₄C₂ = 12 ways

Number of ways to select 1 points from 6 = ₆C₁ = 6 ways

The number of triangles = 12×6 = 72 triangles

The total number of triangles = 72 + 60 = 132 triangles.

The probability that a randomly selected day will have a group trades total within 85,000 of the mean is 0.1328.

What is the probability about?

In the question given, the Mean (u) is said to be = 3421439

Therefore since Standard deviation = 508638.08

Note that:

z = x-u/sd

So:

P(u - 85000 <= x <= u + 85000)

u = 3421439

We insert the formula into the equation and it will be

= P(3421439 - 85000, 3421439 + 85000)

= P(3336439,  3506439)

= (3336439 - 3421439) / 508638.08, 3506439-3421439) / 508638.08)

= prob(-0.1671 and 0.1671 (So check the column under the z table)

So:

= 0.5664 - 0.4336

= 0.1328

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Step-by-step explanation:

.7071 is the value to convert peak to RMS

Here we are to determine which particle diagram best represents this same substance after a physical change has taken place.

The correct answer is choice 1.

First, a physical change is one which affects only the form of a chemical substance but not it's chemical composition. They are associated with separation of mixtures but not compounds into their constituent elements.

The definition above is basis for the decision that choice 1 from the image in the question best represents this same substance after a physical change has taken place.

This is so because the composition of the particle is altered in all of the other choices.

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The distributive property allows the formula (-128 x 46) + (128 x -36) to be simplified to -10496.

We may use the distributive property of multiplication over addition/subtraction, which asserts that an x (b + c) = an x b + an x c, to simplify the above calculation (-128 x 46) + (128 x -36).

Let's dissect the expression in detail:

(-128 x 46) + (128 x -36)Let's first assess the goods:

-128 x 46 = -5888

128 x -36 = -4608

Reintroduce these values into the phrase now:

(-5888) + (-4608)

We simply add the absolute values of the two negative numbers while maintaining the sign of the negative:

-5888 + (-4608) = -10496

Consequently, -10496 is the reduced expression.

Last but not least, the phrase (-128 x 46) + (128 x -36) becomes -10496. .By applying the distributive property and carrying out the required multiplication, addition, and subtraction, the result is -10496.

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The probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is 0.2355.

We are given that the loss under a liability policy is modeled by an exponential distribution. This means that the amount of the loss that exceeds the deductible follows an exponential distribution.

The insurance company will cover the amount of the loss in excess of a deductible of 2000. So, we are interested in calculating probabilities related to the reimbursement amount (Y) given that the loss exceeds the deductible.

We are given that the probability that the reimbursement is less than 6000, given that the loss exceeds the deductible, is 0.50. Mathematically, this can be expressed as:

P(Y ≤ 6000 | X > 0) = 0.50

where X is the amount of the loss that exceeds the deductible.

Using the memoryless property of the exponential distribution, we can rewrite the probability as:

P(X ≤ 4000) = 0.50

This is because P(Y ≤ 6000 | X > 0) is equivalent to P(X ≤ 4000) since the deductible is 2000.

From the given probability, we can determine the parameter λ of the exponential distribution. We have:

P(X > 2000) = e^(-λ*2000) = 0.5

Solving for λ, we find:

λ = ln(0.5)/(-2000) ≈ 0.00034657

Now, we want to calculate the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible:

P(3000 < Y ≤ 9000 | X > 0)

Using the memoryless property, we can rewrite this as:

P(X > 1000) - P(X > 7000)

Substituting the value of λ we found earlier, we have:

P(3000 < Y ≤ 9000 | X > 0) = e^(-λ1000) - e^(-λ7000)

Plugging in the value of λ, we can calculate the probability:

P(3000 < Y ≤ 9000 | X > 0) ≈ e^(-0.34657) - e^(-2.426) ≈ 0.3226 - 0.0871 ≈ 0.2355

Therefore, the probability that the reimbursement is greater than 3000 but less than 9000, given that the loss exceeds the deductible, is approximately 0.2355.

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Answer:

5.28 kg

Step-by-step explanation:

A farmer sells 8.8 kilograms of pears and apples at the farmer's market and 2/5 of this weight is pears.

Since a fraction is a part of a whole, 1, then, the fraction repressing the weight of the apples is:

1 - 2/5 = 3/5

Therefore, the weight of apples is/

3 / 5 * 8.8 = 5.28 kg

She sold 5.28kg of apples at the farmer's market.

The Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

What is Boolean expression?

A Boolean expression is an expression or equation that evaluates to true or false. It includes the use of logical operators such as AND, OR, and NOT, as well as comparison operators such as equal to (=), greater than (>), less than (<), and more.

The Boolean expression that is not equivalent to the expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

Let's break down each option and evaluate its equivalence to the given expression:

A. (num < 0) AND (num * -1 = 10)

This expression checks if "num" is negative and if the absolute value of "num" is equal to 10. It does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

B. (num < -10) OR (num = -10)

This expression checks if "num" is less than -10 or if "num" is exactly equal to -10. It also does not directly represent the condition "num * -1 ≥ 10," so it is not equivalent.

C. (num * -1 > 10) OR (num = -10)

This expression checks if the negative value of "num" is greater than 10 or if "num" is exactly equal to -10. Although it involves the negative value of "num," it represents the condition "num * -1 > 10" when "num" is positive. Therefore, it is equivalent to the given expression.

D. NOT num * -1 < 10

This expression checks if the negative value of "num" is not less than 10. While it involves the negative value of "num," it does not directly represent the condition "num * -1 ≥ 10." Additionally, the use of "NOT" operator flips the condition, which makes it different from the original expression. Hence, it is not equivalent.

Therefore, the Boolean expression that is not equivalent to the given expression "num * -1 ≥ 10" is option D: "NOT num * -1 < 10."

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Answer:

3 of them

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

\( \frac{2 - ( - 2)}{2} = 2\)

maximum distance minus the minimum distance then divide everything by 2

:)

From the information given, the inequality that models the situation is:

\(4x + 3y \leq 60\)

The cold water flows at a rate of 4 gallons per minute, hence, the amount after x minutes will be of: \(4x\)

The hot water fills at a rate of 3 gallons per minute, hence, the amount after y minutes will be of: \(3y\).

The total amount is the sum of these amounts, hence:

\(T = 4x + 3y\)

It holds a maximum of 60 gallons, hence:

\(T \leq 60\)

\(4x + 3y \leq 60\)

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