Michelle used a \$20$20dollar sign, 20 bill to pay for a notebook that only costs ppp dollars. How much change did michelle receive from the cashier? write your answer as an expression.

The linear function in slope intercept form is  y = -2x - 5.

Linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope in the linear function.

Using (-1, -3) and (3, - 11)

m = -11 + 3 / 3 + 1

m = -8 / 4

m = -2

Therefore, let's find the y-intercept as follows:

using (-1, -3)

y = -2x + b

-3 = -2(-1) + b

-3  = 2 + b

b = -3 - 2

b = -5

Therefore, the equation in slope intercept form is y = -2x - 5

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[tex](0.5- 0.3)^2[/tex]

⇒ Subtract inside the parentheses:

[tex]= (0.2)^2[/tex]

⇒ Evaluate the exponent by multiplying 0.2 by 0.2:

[tex]= 0.04[/tex]

0.04

Answer:

0.04

Step-by-step explanation:

Answer: Cost to distributer $3.38

Cost to retailer $4.73

Step-by-step explanation: First find 35 percent of $2.50

2.50 x 0.35 = 0.875 this is 35% of 2.50

Then add this amount to 2.50

2.50 + 0.875 = 3.375 or $3.38

Then to find the cost to the retailer repeat this process with 40%

3.38 x 0.40 = 1.352

1.352 + 3.38. = 4.732 or $4.73

Answer: 5/2 or 2.5

Step-by-step explanation: Rise/Run = 5/2

a)

There are 3268760 different ways for the company to place the lunch order for the 10 lunches

b)

There are 11861676288000 ways for the company to place the lunch order if the 10 lunches purchased are all different

What is permutation and combination?

The process of placing all the components of a set into a certain sequence or order is known as permutation in mathematics. In other terms, the process of permuting is the reordering of the components of a set if the set is already ordered. Nearly all areas of mathematics include permutations in some form or another. They frequently appear when various orderings on certain finite sets are taken into account.

Contrary to permutations, the order of selection is irrelevant when choosing elements from a collection using the combination method. The number of combinations may be counted in simpler situatiThe combinationation is the taking together of n items, k at a time, without repetition. The terms k-selection or k-combination with repetition are frequently used to describe combinations where repetition is permitted.

a) total different ways are [tex]C^{25} _{10}[/tex]

= 25!/(25-10)!10!

= 25!/15! * 10!

= 3268760

b) total different ways are [tex]P^{25} _{10}[/tex]

= 25!/(25-10)!

= 25!/15!

= 11861676288000

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The perimeter and the area of the triangle are given as follows:

The perimeter of the triangle is given by the sum of the lengths of the outer edges of the triangle.

From the image given at the end of the answer, these lengths are of:

Hence the perimeter of the triangle is of:

P = 4 + 8 + 8.83 = 21 cm.

(rounded to the nearest cm, as each unit represents 1 cm).

The triangle in this problem is a right triangle, hence the area is obtained by half the multiplication of the sides, as follows:

A = 0.5 x 4 x 8 = 16 cm².

The problem is incomplete, hence a similar problem was given and solved, by the triangle in the image at the end of the answer.

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Answer:202 surface area

Step-by-step explanation:

the value of P(X=4,Y=2) is 0.0518.

Given that, X denote the number of Canon SLR cameras sold during a particular week by a certain store.

The probability mass function (pmf) of X is,

X 0 1 2 3 4

PX(x) 0.1 0.2 0.3 0.25 0.15

Let Y denote the number of purchasers during this week who buy an extended warranty.

The value of P(X=4,Y=2) is the probability that 4 cameras are sold and 2 extended warranties are sold in a week.

P(X=4,Y=2)=p(4,2)=P(Y=2|X=4)×P(X=4)

The number of purchasers purchasing the extended warranty can be 0, 1, ……, x.

Here x is cameras are sold.

Assuming that each customer buys at most 1 camera.

Considering that the event “a purchaser buys extended warranty” as “success” and the event “a purchaser does not buy extended warranty” as “failure”.

In that case, all the customers purchasing cameras buy extended is 60%.

The probability of failure is 0.4.

This follows the binomial distribution, where total number of trials is the number of purchasers of camera and x is the probability of success is 0.6.

The probability that 2 out of 4 cameras purchasers buys extended warranty with probability of success 0.6 is,

P(Y=2|X=4)=4C2(0.6)2(0.4)4−2=6×0.36×0.16=0.3456

Given that,

P(X=4)=0.15

Therefore,

P(X=4,Y=2)=P(Y=2|X=4)×P(X=4)=0.3456×0.15=0.0518

Therefore, the value of

P(X=4,Y=2) is 0.0518.

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a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

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Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8

Among the 3000 students, at least 5 students will turn in the exact same answers for the quiz questions.

What does at least mean in probability?

"At least" means as follows: equivalent to or less than. The bare minimum that should happen once a random event occurs is called the least mean in probability.

It will be the complement of the event never occurring to determine the likelihood of an event occurring at least once. In other words, there is a 100% chance that the event will occur regardless of its likelihood of never happening or happening at least once.

Solution Explained:

The quiz has 54=625 different possible outcomes. Given that 625 divided by four equals 2600 and 625 multiplied by five equals 3125, we deduce that 5 students will submit the same set of answers. This is due to the fact that there would be a maximum of 2600 students if only 4 students submitted each answer sheet.

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For samples of size n = 60, the mean of the sampling distribution is 0.6

and the standard deviation of the sampling distribution is 0.0632

Here, N = 520 and X = 312

So, the population proportion is calculated as;

p = X / N

p = 312/520

p ≈ 0.600

So, the mean of the sampling distribution would be,

μ = 0.600

And for samples of size n = 60, the standard deviation of the sampling distribution would be,

σ = √[p(1 - p)] / n

σ = √[0.6(1 - 0.4)] / 60

σ = √[(0.6 * 0.4) / 60]

σ = √(0.004)

σ = 0.0632

Therefore, the mean of the sampling distribution = 0.6

and the standard deviation of the sampling distribution = 0.0632

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Given question is incomplete.

A complete question is:

a dental student is conducting a study on the number of people who visit their dentist regularly. of the 520 people surveyed, 312 indicated that they had visited their dentist within the past year. find the population proportion, as well as the mean and standard deviation of the sampling distribution for samples of size n = 60

The value of P in the equation is -1

Answer:

p=-1

Step-by-step explanation:

3(1+p)=-5(p+1)

Remove the parenthesis:

3+3p=-5p-5

Subtract 3 from both sides.

3p=-5p-5-3

Simplify:

3p=-5p-8

Rearrange:

3p=-8-5p

Add 5p to both sides:

8p=-8

Divide both sides by 8:

p=-1

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She has to play 4.5 hours to discharge the whole phone.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Jade spent 1/2 of an hour playing on her phone which uses 1/9th of her battery.

For 1/9th battery, it took 1/2 hour.

So for the whole charge to discharge it will take, (1/2)/ (1/9) = 9/2 =4.5.

Hence, She has to play 4.5 hours to discharge the whole phone.

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Answer:

AB = YZ

AC = XY

BC =XZ

Statement : The given two triangles are congurent by all axiom.

Answer: r=2

Step-by-step explanation:

do .5/.25=2

The value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25, so correct option is D.

One of the fundamental shapes in geometry is represented by the symbol Δ and consists of three connected vertices.

Given:

In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)°

Calculate the value of x as shown below,

The sum of triangles will be equal to 180°,

mZD + mZE  +  mZF = 180

4x + 2x - 3 + x + 8 = 180

7x = 180 - 5

x = 175 / 7

x = 25

Therefore, the value of x, if In triangle DEF, if mZD = (4x)°, mZE = (2x - 3)°, and mZF = (x + 8)° is 25.

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The probability of obtaining between 9 and 14 heads is .0.0408

Probability:

in statistics, probability refers the possibility of the outcome of any random event.

Given,

A coin is weighted so that the probability of obtaining a head in a single toss is 0.25.

Here we need to find the probability of obtaining between 9 and 14 heads if the coin is tossed 45 times.

While we looking into the given question,

Probability of obtaining a head in a single toss = 0.25

Number of toss = 45

Here we need to find the probability of getting head between 9 and 14, is calculated as,

=> mean = 45 x 0.25 = 11.25

=> standard deviation = √11.25 x(1 - 0.25) = 2.9

Here the probability is written as,

=> P(9 < x < 14) = P(8.5 < x < 14.5)

Then the z score, is

=> z = (8.5 - 11.25)/2.9 = -0.9483

=> z = (14.5 - 11.25)/2.9 = 1.1207

So, the given probability is rewritten as,

=> P(9 < x < 14) = P(z < 1.1207) - P(z < 0.9483)

When we apply the value of z score on it then we get,

= > P(z < -0.9483) = 0.17149

=> P(z > 1.1207) = 0.13121

=> P(9 < x < 14) = 0.13121 - 0.17149

=> 0.0403

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d. Portfolio P has a standard deviation that is less than 25%

This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.

The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.

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Answer: the second one

Step-by-step explanation: trust me bro

The Python program to print the value of the input string is as follows:N= int(input("Enter a integer variable N (0 <= N <= 100): ")), W = input("Enter the word W (length of 1 <= L <= 50): "), for n in range(N):, print(W)

In a mathematical problem or experiment, a variable is a quantity that can change. To represent a variable, we typically use a single letter. Generic symbols used frequently for variables include the letters x, y, and z.

Program -

N= int(input("Enter a value of integer N (0 <= N <= 100): "))

W = input("Enter the word W (length of 1 <= L <= 50): ")

for n in range(N):

print(W)

Here,

defining the integer variable "N" that accepts a user-supplied integer value.

The user-end string value is input using another variable "W" that is declared in the next step.

A for loop using the range method and an integer variable is declared after all input values have been entered. This loop prints the string value.

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The solution to the inequality expression is x > 3 and the number line is attached

From the question, we have the following parameters that can be used in our computation:

5x > 15

To start with, we divide both sides of the inequality expression by 5

So, we have the following representation

5x/5 > 15/5

Evaluate the quotient

So, we have the following representation

5x/5 > 3

Evaluate the quotient

So, we have the following representation

x > 3

So, the solution is x > 3

See attachment for the inequality graph

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The taylor series of  sin x at  x= π  is ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

the Taylor series n of a function is an infinite sum of terms that are expressed in terms of the function's derivatives at a single point.

since the function we are given is :

sin(x), since we need to find the Taylor series of sin(x) at x=π, which can also be written as : sin(x+π)

we can find find the Taylor series of sin(x+π) at x=0

sin(x+π)=−sin(x)

    = ∑( for n=0,∞) [tex]\frac{(-1)^{n}x^(2n+1) }{(2n+1)!}[/tex]

      =    ∑( for n=0,∞)    [tex]\frac{-1^{n+1}x^{2n+1} }{(2n+1)!}[/tex]

so sin (x)=  ∑( for n=0,∞) [tex]\frac{-1^{n+1}(x-\pi )^{2n+1} }{(2n+1)! }[/tex]

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find the Taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that rn(x) → 0.] f(x) = sin(x), a = π????

Answer:

240°   ( Quadrant III)

Step-by-step explanation:

Arctan ( -sqrt(12) /-2) = 240 degrees

Answer:

I believe it is 3rd one but not 100% sure

Step-by-step explanation:

hope this helps

Answer: t=12

Step-by-step explanation:

To isolate the t, divide both sides by 15. The 15 on the left cancels out, and 180 divided by 15 is 12.

Answer:

$160 for 10 books is the BEST buy.

Step-by-step explanation:

To find which one is the best buy, we need to find the unit rate for the books (which is how much each book is worth). We do this by simply dividing the two numbers in each buy:

160 ÷ 10 = 16

114 ÷ 6 = 19

Since the first one is a smaller price, the first one is our answer.

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It would be $160 for 10 books

When the dividend is 4h²+2h+6 and the divisor is 2h, the value of a is 2h and the value of b is 1.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The terms degree, standard form, monomial, binomial, and trinomial are all covered in this video.

Here,

Dividend=4h²+2h+6

Divisor=2h

The value of a and b,

=(4h²+2h+6)/2h

=4h²/2h+2h/2h+6/2h

=2h+1+3/h

a=2h

b=1

The value of a is 2h and b is 1 where the dividend is 4h²+2h+6 and divisor is 2h.

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Answer:What are the values of A and B?

A = 2 and B = 1

A = 2h and B = 1

A = and B =

A = and B =

Step-by-step explanation:

It is better to describe the centers of distribution in terms of the

D. Median for both bakeries because the data is not symmetric.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

We know symmetric data sets have a graph that is bell-shaped.

Here the data for both bakeries are not symmetric we can conclude that from the given table itself so it is better to describe the centers of distribution in terms of the median for both bakeries because the data is not symmetric.

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Answer: P=14x-8

Step-by-step explanation:

I will solve this by factoring the numbers

(3x+1)(4x-5)=0

so L and w would be 3x+1,4x-5 order does not matter

Plug in to the perimeter formula and solve

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

The first step is to calculate the approximate weight of the tank. This can be done by calculating the weight of the stainless steel plates and multiplying it by the surface area of the tank.

The surface area can be calculated by multiplying the length of the sides by the height. The weight of the stainless steel plates can be found online or by consulting a materials engineer.Once the approximate weight of the tank has been calculated, the base and height dimensions can be determined by trial and error. Start with a base length and a height and calculate the approximate weight of the tank. Then, adjust the base length and/or height and recalculate the weight. Continue this process until the lightest weight is achieved.It is important to consider the structural integrity of the tank when selecting the dimensions. A tank with too little height or too wide a base may not be able to withstand the pressure of the contents within. Consulting a structural engineer may be necessary to ensure that the tank is strong enough to withstand the pressure of the contents.

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