Peggy pays an annual fee of $10.75 to belong to an online music club and download songs at a reduced price. Last year she downloaded 105 songs altogether. Non-members pay $0.35 more per song download than members. Suppose Daniel is not a member of the club and downloaded 85 songs last year. If Daniel and Peggy both paid the same total amount, what is the cost per download for members and for non-members? Let x
represent the cost of downloading a song for members. Set up and solve an equation. Show your work.

Help! Due Tonight

Answer:

6

Step-by-step explanation:

S = Spanish book

M = Math book

H = History book

These are the different ways in which he can organize the book on his bookshelf.

SMH

SHM

MSH

MHS

HSM

HMS

There are 6 ways.

If x represents the full length of a certain species of newts then, the mean of the sampling distribution and standard deviation are 216, and 0.31 respectively.

Central Limit Theorem for mean: When a random sample of size n is taken from a population with a mean and standard deviation, the sample mean approaches the normal distribution with mean and standard deviation σ/sqrt (n) as the sample size increases.

Sampling distribution of the sample mean:

using, Central Limit Theorem, the mean of the sampling distribution is μ_{x-bar} = 216.

The standard deviation of the population is σ = 3.1 and the sample size is n =103, people

The standard deviation σ/√n= 3.1/√103 =0.31.

As a result, the sample mean for the 103 sample size, following normal distribution has a mean of μ_{x-bar} = 216 and a standard error of μ_{x-bar} = 0.31.

x-bar ≈ N (216, 0.31)

μ_{x-bar}  = 216

σ_{x-bar}  =0.31

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(complete question)

Let X represent the full length of a certain species of newt. Assume that X has a normal probability distribution with a mean of 110.6 inches and a standard deviation of 4.9 inches. You intend to measure a random sample of n = 103. find the mean of the sampling distribution and standard deviation.

a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

z-scores are used to describe normal distributions

The interpretation of a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

How to interpret the z-scores

The z-score is given as:

z = 2.5

The mean and the standard deviation are:

Mean = 550

Standard deviation = 100

A z-score is the number of standard deviations above or below the mean.

Hence, a 2.5 z score is that, Hayden's score is 2.5 standard deviations below the 550

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The maximum possible area is 110 x 110 feet

What is area ?

Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The term "area" refers to the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its width.

440/4 = 110 x 110 feet

the biggest area is with a square.  A square has 1/4  dimensions for each side. with 1/4 of the total perimeter. 1/4 of 440 is 110 feet.

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Using the inverse proportion formula, the value of the second quantity y in the question is (D) 27.

One kind of proportionality relationship is inverse proportion.

If two quantities are inversely related, one will increase while the other will decrease.

Building a wall would be an example of an inverse proportion in action.

On the other hand, in indirect or inverse proportion, if one quantity rises, the other one falls, and vice versa.

So, the value of the second quantity will be:

The formula for inverse proportion:

y = k/x ...(1)

Pur x = 15 and y = 18 in (1) as follows:

15 = k/15

× 15 on both sides:

15 × 15 = k/15 × 15

k = 270

Now, obtain y as follows using the same process:

Let, x = 10 and k = 270:

y = k/x

y = 270/10

y = 27

Therefore, using the inverse proportion formula, the value of the second quantity y in the question is (D) 27.

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Complete question:
Two quantities vary inversely. If the value of the first is 15 when the value of the second is 18, find the value of the second quantity when the first is 10.

a. 8

b. 1/3

c. 12

d. 27.

Answer:

27

Step-by-step explanation:

odyssey

The x-coordinate of the point that divides the directed line segment from k to j into a ratio 1:3 is given as follows:

x = 7.

The direction of the segment is given as follows:

K to J.

The desired point divided the directed line segment from k to j into a ratio 1:3, hence the equation involving proportions is given as follows:

P - K = 1/4(J - K).

This equation is used to obtain both the x-coordinate and the y-coordinate of the point.

The x-coordinates of the points are given as follows:

Hence the x-coordinate of the segment is obtained as follows:

x - 9 = 1/4(1 - 9)

x - 9 = -2

x = -2 + 9

x = 7.

The segment is given by the image shown at the end of the answer.

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A set of scalar parametric equations for the line that passes through points p(3, 4, 1) and q(4, -2, -1) : x = 3 + 4t, y = 4 - 2t and z = 1 - t

In this question, we have been given two points p(3, 4, 1) and q(4, -2, -1).

We need to find a set of scalar parametric equations for the line that passes through points p and q.

We know that a set of scalar parametric equations is,

x = x0 + at, y = y0 + bt, z = z0 + ct

Let (x0, y0, z0) = (3, 4, 1)

and (a, b, c) = (4, -2, -1).

Therefore, scalar parametric equations as:

x = 3 + 4t,

y = 4 - 2t

and z = 1 - t

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Where the variance is 0.32, the mean is 0.40, and there are provided sets of probabilities, the standard deviation will be 0.566.

The average degree of variability in your dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. In general, values with a high standard deviation are spread out from the mean, whereas those with a low standard deviation are grouped together close to the mean.

Here,

mean=0.4

variance=(Xn-mean)².P(x)n

=(0-0.4)²*(0.64)+(1-0.4)²*(0.32)+(2-0.4)²*0.04

variance=0.32

Standard deviation=√(variance)

=√0.32

=0.566

The standard deviation will be 0.566 where variance in 0.32 and mean is 0.40 and given sets of probability.

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The correct answer is analysis of variance.

Given that,

Which ethnic group visits movie theaters most frequently That is the question being asked by a researcher. Metric is the dependent variable.

To find :  Which of the following tests is most appropriate

What is ANOVA ?

Analysis of variance (ANOVA) is a statistical technique for examining variations in means. It consists of a number of statistical models and the estimating techniques they require. The statistician Ronald Fisher is credited with creating the ANOVA. According to the law of total variance, which is the foundation of ANOVA, the observed variance in a given variable is divided into components that can be attributed to various causes of variation. ANOVA generalizes the t-test beyond two means by offering a straightforward statistical test for the equality of two or more population means. In other words, the ANOVA is employed to compare two or more means.

Therefore, the correct answer is analysis of variance.

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The answer is: A) Tasha, because she has the lowest ratio since 0.75 < 0.8

Explain:

i did the test

Answer:

Step-by-step explanation:the answer is a

The expression 1/8¹⁴ is equivalent to 8⁻¹⁰ / (8⁴)(8⁰). The 1st option is the answer

Index ( plural indices) is the power or exponent which is raised to a number or a variable e.g in number 3⁵, 5 is the index of 3.

Given: the expression 8⁻¹⁰ / (8⁴)(8⁰)

8⁻¹⁰ / (8⁴)(8⁰) can be written as:

8⁻¹⁰ / (8⁴)(8⁰) = 8⁻¹⁰ / (8⁴)(1)          (Note: 8⁰ = 1)

                     = 8⁻¹⁰ / 8⁴               (Note:  1/8⁴ = 8⁻⁴  )

                     =  8⁻¹⁰ × 8⁻⁴

                     = 8⁻¹⁰ ⁺ ⁻⁴

                     = 8⁻¹⁴

                    = 1/8¹⁴

Thus, 1/8¹⁴ is the equivalent to 8⁻¹⁰ / (8⁴)(8⁰)

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As per the given probability, there are 6760000 number of plates number are possible.

Probability:

In math, probability means the possibility of favorable outcome.

Given,

License plates in a country far away consist of 2 letters followed by 4 digits (0-9). if the only restriction is that plates can not have the same digit 4 consecutive times,

Here we need to find how many plates are possible.

Here we have given that, A license plate composed of 2 letters followed by 4 digits.

The first step is considering the letters in the plate.

Here we know that, the plate consists of 2 letters.

And in alphabets, we have 26 letters which start from A to Z.

Therefore, we can choose 2 letters from 26 letters in 26² ways.

Now, we considering the digits in the plate.

Here the plate consists of 4 digits.

And we have 10 digits which starts from 0 to 9.

Now we can choose 4 digits from 10 digits in 10⁴ ways.

Therefore, the number of possible plates is

=> 26² × 10⁴

=> 676 x 10000

=> 6760000

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Answer:

A. The plane will travel 1180 miles in 10 hours

B. The plane is traveling at a rate of 118 miles per hour

Step-by-step explanation:

Step 1: Divide 590 by 5 to get how many miles it travels in 1 hour

    1. 590/5 = 118 miles per hour

Step 2: Multiply 118 by 10 to get how many miles it travels in 10 hours

    2. 118 ∙ 10 = 1180 miles per 10 hours

According to the binomial distribution, there are 13 questions should the student expect to answer correctly.

Binomial distribution:

in statistics, binomial distribution refers the probability of getting a success must remain the same for the trials we are investigating.

Given,

A quiz consists of 24 questions. each question has 4 answer choices with exactly one correct answer. a student is completely unprepared for the quiz, so he guesses on all 24 questions.

Here we need to find how many questions should the student expect to answer correctly.

While we looking into the given question, we have identified that the total number of questions is 24.

Number of options = 4

So, the probability of getting correct answer = 1/4 = 0.25

The probability of getting incorrect answer is,

=> 1 - 1/4 = 3/4 = 0.75

So, based on the binomial distribution,

X ~ Binomial Distribution (m=25, p=0.25, q=0.75)

Then in probability it can be written as,

=> P (X=13) = (25C13)x ((0.25)¹³) x ((0.75)¹²)

=> P (X=13) = 0.00245461663

Therefore, the number of correct answers is 13.

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Answer:

About 30.21 quarts

Step-by-step explanation:

[tex]q=(28.5)(1.06)=30.21[/tex]

Hope this helps

Answer: R: yE[-8,7]

Step-by-step explanation:

Answer:

56 cents

Step-by-step explanation:

cost/amount=price

4/2.24=0.56

5.6/10=0.56

6.72/12=0.56

In the general form y = mx + c, c is the y-intercept of the line. The difference of y-intercepts is -5.2.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The equation for f(x) = 3x - 5

And, the value of y-intercept of g(x) from the graph is 0.2

The y-intercept of f(x) can be obtained by comparing it with y = mx + c, where c is the y-intercept as follows,

c = -5.

Thus, the difference of their y-intercepts as per the question is given as,

-5 - 0.2 = -5.2

Hence, the difference of the y-intercepts of f(x) and g(x) is given as -5.2.

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Answer:

1,999,999,999,999,999,999,999,999,999,999,999$

naaaaaaa

1+1 = 0

Step-by-step explanation:

lol your answer is 2

Using simple mathematical operations, we know that we will require 1436 bricks to construct a brick wall.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.

In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.

So, we know that:

A brick wall's measurements are provided by:

14.5 feet in length

Size: 0.5 feet wide

5.5 feet tall

Brick dimensions are provided by:

6 inches in length

4-inch width

2 inches tall

The number of bricks must be determined:

Thus, the number of bricks is provided by:

Number of bricks = Volume of brick wall/Volume of brick

Number of bricks = 14.5 * 5.5 * 0.5 * 12 * 12 * 12/6 * 4 * 2

Number of bricks = 1435.5

Number of bricks = 1436

Therefore, using simple mathematical operations, we know that we will require 1436 bricks to construct a brick wall.

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The final cost for Paul's ping pong table will be;

⇒ $296.8

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The original price of ping pong table = $350

And,  He uses a coupon code to get a 20% discount off of the original price. He is then charged a 6%​ tax on the discounted price.

Now,

Since, The original price of ping pong table = $350

And,  He uses a coupon code to get a 20% discount off of the original price.

Hence, The discounted price = 20% of $350

                                             = 20/100  ×  350

                                             = $70

So, The price of ping pong table = $350 - $70

                                                  = $280

And, He is then charged a 6%​ tax on the discounted price.

So, We get;

The tax price = 6% of $280

                    = 6/100 × $280

                    = $16.8

Thus, The final price for Paul's ping pong table = $280 + $16.8

                                                                        = $296.8

Therefore, The final cost for Paul's ping pong table will be;

⇒ $296.8

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The smallest integer value of x in the solution of the following inequality x is strictly less than 2 or x ∈ (-∞, 2)

Inequalities are statements that are represented as comparison between two or more numbers or algebraic expressions.(strictly less, strictly great, greater, lesser)

Given that the inequality 5x - 7 < 2x - 1

Solving the given equation:

5x - 7 < 2x - 1

5x - 7 - 2x < 2x - 1 - 2x

3x - 7 < -1

3x - 7 + 7 < -1 + 7

3x < 6

x < 2

Therefore, We conclude that x is strictly less than 2.

Hence x ∈ (-∞, 2)

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Answer:

C = 1

Step-by-step explanation

Answer:

c = 1

Step-by-step explanation:

9c - 18c - 11c = - 20

Combine like terms.

- 20c = - 20

Divide both sides by -20.

c = 1

The sales tax on both muffin and cup of coffee at breakfast dinner is $0.45.

As the stated question-

Thus,

Total cost = $3.25 + $2.75

Total cost = $6.00

Sales tax = 7.5% of $6.00

Sales tax = 7.5 x 6.00 / 100

Sales tax = $0.45

Thus, the sales tax on both muffin and cup of coffee at breakfast dinner is $0.45.

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The correct question is-

At breakfast diner a cup of coffee cost $2. 75 and a muffin s $3. 25. What is the sale tax on the two item if the rate is 7. 5%?

Answer:

i need the points

Step-by-step explanation:

idek

Answer: Choice B.

The relationship is not proportional. The number of water bottles that are thrown away Increases from month to month than the number of water bottles that are recycled.

The approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

We can approximate the area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 using a Riemann sum with 4 rectangles of equal width. The left-hand endpoint of each subinterval will be used.

The width of each rectangle is the length of the interval (5-(-1)) divided by the number of rectangles (4). Therefore, the width of each rectangle is

(5-(-1))/4 = 6/4 = 1.5.

Since we are using the left-hand endpoint of each subinterval, the x-values of the left-hand endpoints of the rectangles are

-1, -1+1.5

-1+1.5+1.5

-1+1.5+1.5+1.5 = -1+4.5=3.5

The height of each rectangle is determined by the value of y at the corresponding x-value.

Therefore, the heights of the rectangles are

3(-1)^2+1=2

3(-1+1.5)^2+1=7.125

3(3.5)^2+1=35.125

3(3.5+1.5)^2+1=46.875

The area of each rectangle is the product of its width and height, so the areas of the rectangles are

2*1.5=3

7.125*1.5=10.6875

35.125*1.5=52.6875

46.875*1.5=70.3125.

Therefore, the approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

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The required probability that their scores differ by more than 15 points is 0.99807.

As stated in the question, a specific country administers an exam to students with scores that are regularly distributed with a mean of 41 points and a standard deviation of 9 points. Assume we randomly select two of these testers and define the random variable d as the difference in their scores.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Z = x - μ / σ
Z = 15 - 41 / 9
Z = -2.88
Now,
P(x > 15) = P (z > -2.88)
            = 0.99807

Thus, the needed chance is 0.99807 and their scores differ by more than 15 points.

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