Andre has a summer job selling magazine subscriptions. He earns $25 each week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. Let n represent the number of magazine subscriptions Andre sells this week.

An expression has numbers, variables, and mathematical operations. The expression that represents the profit made by the organization is 5x-200.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that the profit is the difference between the revenue and cost. Therefore, the expression that represents the profit can be written as,

\(\rm Profit = Revenue - Cost\)

        \(= (3x^2+4x-60)-(3x^2-x+200)\\\\= 3x^2+4x-60-3x^2+x-200\\\\=5x-260\)

Thus, the expression that represents the profit made by the organization is 5x-200.

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A 99% confidence interval on the population mean alcohol level in this situation is 0.0347.

A sample of 57 observations for alcohol levels randomly taken on highway 6 at 3am on Saturday, resulted in a mean of 0.057 and a variance of 0.0075 respectively.

n= 57

x=0.037

σ\(^{2}\) = 0.0001099

σ = √σ2

=√0.0001099

σ = 0.01048

90% confidence interval,

d= 1-0.9=0.1

From z-table, \(z_{\frac{2}{z} }=z_{0.05}=1.645\)

90% confidence interval,

δ= x±\(z_{\frac{\alpha }{2} }\).σ/√n

= 0.037±1.645×\(\frac{0.01048}{\sqrt{57} }\)

= \(0.037\)±0.0023

= (0.0347, 0.0393)

Lower limit = 0.0347

Upper limit = 0.0393

Therefore, the lower limit is 0.347.

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Answer:

1/5525

Step-by-step explanation:

Required outcome = Number of kings in a deck = 4

Assume card is drawn without replacement :

Number of cards In a deck = total possible outcomes = 52

Probability = required outcome / Total possible outcomes

P(first draw is a king) = 4 /52 = 1/13

P(secind draw is a king) = 3 /51

P(third draw is a king) = 2 /50

P(first three cards is a king) :

1 /13 * 3/51 * 2/50 = 6/33150 = 1/5525

Answer:

0.119 ....................

Answer:

A

Step-by-step explanation:

When an expression is reflected across the x-axis, the x values stay the same but the y values are now negative.

The series ∑ 3 / (n[ln(n)]^p is convergent for all values of p greater than 1.

To determine the values of p for which the series is convergent, we can use the integral test. According to the integral test, if the integral of the series converges, then the series itself converges.
Considering the series ∑ 3 / (n[ln(n)]^p, we can evaluate its convergence by integrating the series function. Integrating 3 / (n[ln(n)]^p with respect to n gives us ∫ (3 / (n[ln(n)]^p)) dn.By performing the integration, we obtain ∫ (3 / (n[ln(n)]^p)) dn = 3 ∫ (1 / (n[ln(n)]^p)) dn.
Simplifying further, we have 3 ∫ (1 / (n^1 * [ln(n)]^p)) dn = 3 ∫ (1 / (n^1 * n^p * [ln(n)]^p)) dn.
Now, we can observe that the integral is dependent on the value of p. For the integral to converge, the exponent of n^p must be greater than 1.
Therefore, we conclude that the series is convergent for all values of p greater than 1.

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The value of the expression w - z for the given complex number will be -2√3 + 0i thus option (C) will be correct.

What is a complex number?

Complex numbers are helpful in finding the square root of negative numbers.

A complex number is the sum of a real number and an imaginary number.

If we solve x² + 1 = 0 ⇒ x = √(-1) which is called as iota(i).

As per the given complex numbers,

w = 2(cos(210°) + isin(210°))

w = 2(-√3/2 + i(-1/2)]

w = -√3 - i

z = 2[cos(330°) + isin(330°)]

z = 2[√3/2 + i(-1/2)

z = √3 - i

Now, w - z will be as,

w - z = (-√3 - i) - (√3 - i)

w - z = -√3 - √3 - i + i

w - z = -2√3 + 0 i

Hence "The value of the expression w - z for the given complex number will be -2√3 + 0i".

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Answer:

65,550

Step-by-step explanation:

437,000 × .15 = 65,550

The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

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Answer:

Whats the question

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

D. Independent, because the outcome of the first roll doesn't affect...

When an agent is preparing for listing presentation with comparable homes, she must know all, EXCEPT assessors' value (Option D).

A listing presentation is a sales pitch made by a real estate agent or broker to a potential seller. The agent or broker explains the services they provide, their marketing strategy, and why they are the best option for selling the client's property. The presentation usually includes comparable sales data, market analysis, and suggested list price for the property.

The agent typically compares the client's property to recently sold or active listings that are similar in size, location, and features. This helps the client determine a fair price for their property and gives them an idea of what the competition is like.

The agent must gather data on comparable homes or "comps" before meeting with the potential seller. This data should include the following:

Date of most recent sale

Sale price

Square footage

Other features that might impact value (e.g., number of bedrooms and bathrooms, lot size, age of the home, etc.)

However, assessors' value is not a reliable indicator of a property's market value. This is because assessors use different methods to determine a property's value than what the market dictates. For example, assessors might use a cost approach, which considers the value of the land and the cost of rebuilding the structure. They might also use a sales comparison approach, which looks at recent sales of similar properties in the area. However, assessors are not always able to take into account the specific features of a property that can affect its market value.

Hence, the correct answer is Option D.

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Answer:

12 im pretty sure median is like middle

I hope this helps! :)

Answer:

mayve 12

Im sorry if its wrong i took this lesson 3 years ago but i think this is right

The set, together with the indicated operations, satisfies all the vector space axioms, so it is a vector space.

To determine if the set M2,4 with the standard operations (addition and scalar multiplication) forms a vector space, we must check if it satisfies the following vector space axioms:

1. Closure under addition
2. Commutativity of addition
3. Associativity of addition
4. Existence of additive identity (zero vector)
5. Existence of additive inverse
6. Closure under scalar multiplication
7. Distributive property for scalar and vector addition
8. Associativity of scalar multiplication
9. Identity property of scalar multiplication

M2,4 represents the set of all 2x4 matrices, i.e., matrices with 2 rows and 4 columns. Let's verify if the axioms hold for this set:

1. Closure under addition: Adding two 2x4 matrices results in another 2x4 matrix.
2. Commutativity of addition: For any two 2x4 matrices A and B, A + B = B + A.
3. Associativity of addition: For any three 2x4 matrices A, B, and C, (A + B) + C = A + (B + C).
4. Existence of additive identity: The zero matrix (a 2x4 matrix with all elements being 0) is the additive identity.
5. Existence of additive inverse: For any 2x4 matrix A, there exists a matrix -A such that A + (-A) = 0 (the zero matrix).
6. Closure under scalar multiplication: Multiplying a 2x4 matrix by a scalar results in another 2x4 matrix.
7. Distributive property for scalar and vector addition: For any scalar c and 2x4 matrices A and B, c(A + B) = cA + cB.
8. Associativity of scalar multiplication: For any scalars c and d and a 2x4 matrix A, (cd)A = c(dA).
9. Identity property of scalar multiplication: For any 2x4 matrix A, 1A = A.

Since M2,4 with the standard operations satisfies all the vector space axioms, it is indeed a vector space.

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Polynomials are algebraic expressions with variables and coefficients.

cost of the materials = (115 - 35) / 2.5 = $77.5

Equation P= 2.5m + 35

The price of a bracelet is $115.

P = 115.

cost of the materials = (115 - 35) / 2.5 = $77.5

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Answer:12 1/2

Step-by-step explanation:

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

Answer: a

Step-by-step explanation:

15^2 + 36^2 = 39^2

Answer: the answer would be 39, 15 and 36

Step-by-step explanation:

Answer:

12 years

Step-by-step explanation:

From the formula;

A = P(1 + r)^n

A = Amount  = $2733.19

P = Principal = $2150

r = rate = 2%

n = time in years = ???

2733.19 = 2150(1 + 0.02)^n

2733.19/2150 = (1 + 0.02)^n

1.27 = (1.02)^n

Taking logarithm of both sides

log 1.27 = n log 1.02

n= log 1.27/log 1.02

n= 0.1038/0.0086

n = 12 years

Answer:

300

Step-by-step explanation:

To get from 120% to 100% you divide by 1.2  360/1.2=300 :)

a) The number of participants with test scores less than 65 before training is 7 in each class( X and Y) . b) There is a difference in the average grades of Class X and Class Y before and after training, based on the results of the t-tests. c) There is an increase in knowledge.

a) The number of participants from Class X and Class Y with test scores less than 65 before training is 7 in each class. This is determined by identifying the number of scores less than 65 in the respective classes' data. The proportions are equal.

b) To assess the difference in average grades, two-sample t-tests are conducted. Before training, the average grades of Class X and Class Y are compared, as well as the average grades after training. A significance level of 0.05 is used to determine statistical significance.

c) Paired t-tests are employed to examine the increase in knowledge (score) after training for Class X and Class Y separately. The null hypothesis assumes no difference in scores before and after training, while the alternative hypothesis suggests an increase. A significance level of 0.05 is utilized to assess statistical significance. The results indicate a significant increase in knowledge for both classes after training.

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The complete question is:

Before training Sample Class-X Class-Y 1 60 62 65 N3456789 2 10 11 12 68 59 62 65 66 55 45 56 60 59 60 66 56 68 60 66 58 48 58 72 58 After training Class-X Class-Y 66 60 62 60 68 59 70 74 70 68 68 68 75 68 65 58 68 66 68 60 50 58 73 58 Based on the data above: a) What is the knowledge (test scores) of participants from class X and class Y before training less than 65? Use the significance level a = 0.05, and assume that the variance both classes are the same. b) Is there a difference in the average grades of class X and class Y, before or after training? Use a significance level of a = 0.05. c) Is there an increase in knowledge (score) after participants take part in the training, good for class X or class Y? Use a significance level of a=0.05.

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch. Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.
The probability that a randomly selected fertilized chicken egg takes between 19 and 21 days to hatch depends on several factors such as the breed of the chicken, temperature, and humidity. However, on average, most chicken eggs take around 21 days to hatch.

Therefore, the probability of a fertilized chicken egg taking between 19 and 21 days to hatch is relatively high. However, it is important to note that there may be some variation in the time it takes for eggs to hatch based on individual circumstances.

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Answer: The equation would NOT help us solve for the length and width of the classroom is "\(x + 2y = 90\)".

Step-by-step explanation:

Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .

Given ,

The perimeter of a rectangular classroom floor is 90 feet.

The length of the floor is twice the  width.

i.e. Length =2 (width)

i.e. x= 2y ..(i)

Also, perimeter = 2(length+width)

\(i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90\)

When we put value of x from (i), we get

\(2(2y) + 2y = 90\)

Hence, the equation would NOT help us solve for the length and width of the classroom is "\(x + 2y = 90\)".

Answer:

The value of home when bought was $913,780.

Step-by-step explanation:

Given that:

Current worth of the house = $1,553,426

This is 70% more than the original worth of the house.

Let,

100 be the original percent and x be the original worth

Percent increase = (100+70)% = 170%

170% of x = $1,553,426

\(\frac{170}{100}x=1553426\)

1.7x = 1553426

Dividing both sides by 1.7

\(\frac{1.7x}{1.7}=\frac{1553426}{1.7}\\x= 913780\)

Hence,

The value of home when bought was $913,780.

Answer:

15

Step-by-step explanation:

hope this helps

Answer:

1, 3, 5, 7 and 19

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the rule, then

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 - 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

the first 4 terms are 1, 3, 5, 7

to find the 10th term , substitute n = 10 into the rule

a₁₀ = 2(20) - 1 = 20 - 1 = 19

13.41% is the cash coverage ratio.

To find the cash coverage ratio:

The cash coverage ratio is calculated as follows:

But first, the EBIDTA Is:

The Cash Coverage Ratio is now:

Therefore, 13.41% is the cash coverage ratio.

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