A jar contains 44 quarters and pennies. The total value of the coins is $4.28.
Which system of equations can be used to find p, the number of pennies, and
q, the number of quarters?
O A.
0.25p+0.01q = 44
p+q = 4.28
( в.
0.25p+0.01q = 4.28
p+q=44
OC. 0.01p+0.25q=44
p+q = 4.28
0.01p+0.25q= 4.28
O D.
p+q=44

Through the amount of individual in that particular country and the resources available

optimum is achieved when the people are equal to the resources availability in that country

Answer:

d

Step-by-step explanation:

The box plot with the five number summary is represented in plot A. Therefore, option A is the correct answer.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median.

The given data in order is 15, 16, 17, 22, 24, 25, 28, 32, 38, 40.

Here, minimum = 15

Maximum = 40

First quartile = 17

Third quartile = 32

Median = (24+25)/2 = 24.5

Therefore, option A is the correct answer.

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The number of green fish are in the aquarium is 6.

Given that,

The aquarium has 3 more yellow fish than green fish.

60 percent of the fish are yellow.

Let us assume the green fishes be x and the yellow fishes are y.

Total no of fished = x + y.

And, y = x + 3

Based on the above information, the calculation is as follows:

Now, put y = x + 3

So,  

60%(y+x)=y

\(\frac{60}{100}(x+3+x)=x+3\)

60(2x+3)=100(x+3)

120x + 180 = 100x + 300

20x = 120

x = 6

Hence the number of green fishes are x=6  

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Answer:

22400

Step-by-step explanation:

280×80 miles

22400 miles

Are we allowed to guess if so my answer is 2 Reddit because i have no idea what this question is.

And  I don't know if this is just for points or if you actually need it for your work so sorry for guessing if you really do need it for work...

Answer:

Reddit/the entirety of 4chan

Step-by-step explanation:

Answer:

Answer: A

Step-by-step explanation:

(go to attachment to see explanation)

hope this helped :D

S(x): x plays string instrument. This predicate is true for  musician x if x plays string instrument in the orchestra; B(x): x plays a brass instrument. This predicate is true for a musician x if x plays a brass instrument ; P(x, y): x practices more than y. This predicate is true if musician x practices their instrument more than musician y in the orchestra.

(a) There are no brass players in orchestra- ∀x(¬B(x)) ]The above statement is equivalent to "No one plays a brass instrument in the orchestra. "This means, for every musician x in the orchestra, the negation of the predicate "B(x)" holds true. Symbolically, it can be represented as, ∀x(¬B(x)).

(b) Someone in the orchestra plays string instrument and brass instrument- ∃x∃y(S(x) ∧ B(y))

The statement means that there exist two musicians x and y in the orchestra such that x plays a string instrument and y plays a brass instrument. Symbolically, it can be represented as, ∃x∃y(S(x) ∧ B(y)).

(c) There is brass player who practices more than all the string players-  ∃x∀y(S(y) → P(x,y)) : The statement means that there is a brass player x in the orchestra who practices more than all the string players. Symbolically, it can be represented as, ∃x∀y(S(y) → P(x,y)).

(d) All string players practice more than all brass players- ∀x∀y(S(x) ∧ B(y) → P(x,y)): The statement means that for every string player x and brass player y in the orchestra, x practices more than y. Symbolically, it can be represented as, ∀x∀y(S(x) ∧ B(y) → P(x,y)).

(e) Exactly one person practices more than Sam- ∃x( P(x, Sam) ∧ ∀y(P(y, Sam) → x = y)): The statement means that there exists one person x in the orchestra who practices more than Sam, and no one else practices more than Sam. Symbolically, it can be represented as, ∃x( P(x, Sam) ∧ ∀y(P(y, Sam) → x = y)).

(f) Sam practices more than anyone else in orchestra- ∀x(S(x) ∧ x ≠ Sam → P(Sam, x)) :The statement means that for every musician x who plays a string instrument other than Sam, Sam practices more than x. Symbolically, it can be represented as, ∀x(S(x) ∧ x ≠ Sam → P(Sam, x)).

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Answer:

The perimeter is 80

Answer:

P = 80

Step-by-step explanation:

w = 10

L = 10 x 3

L = 30

P = L + L + w + w

P = 30 + 30 + 10 + 10

P = 80

If you mean factoring in general,

x(x²+1)

4y²(-4y+1)

x³+x

= x(x²+1)

Have the greater exponent in front so 4y²-16y³​ will become -16y³​+4y²

−16y³+4y²

= 4y²(−4y+1)

Answer:

I think its A 1200

Step-by-step explanation:

Answer:

The answer will be -5a-4

Step-by-step explanation:

Subtract 7a-12a=-5a

Add -8+4=-4

which makes the answer -5a-4

Hope this helps:)

Answer:

a = -4/5

Step-by-step explanation:

7a - 8 - 12a + 4

First, you want to put like terms together. You can rearrange the terms because of the Commutative Property.

7a - 12a - 8 + 4

I will put parentheses around the negative numbers, so it is easier to see the negative numbers.

7a (- 12a)( - 8) + 4

Now you combine the Like Terms

7a-12a     and     -8+4

- 5a - 4

Now you need to get the term with a all by itself on the other side of the equals sign. You can do this by adding the term over to the other side.

-5a - 4

+5a       +5a

Now you have

- 4 = 5a

To get the final answer you need to get a all by itself. You can do this by dividing 5 on both sides.

-4/5=5a/5

So you get

-4/5 = a

as your final answer.

Injective function example shows cardinality of X is less than or equal to cardinality of P(X); proof by contradiction demonstrates inequality.

(a) An example of an injective function f:X→P(X) is the function that maps each element x in X to the singleton set {x}. This function assigns a unique subset of X to each element, ensuring injectivity.

(b) To prove that the cardinalities are not equal, we assume a bijection f:X→P(X) and define a subset A⊆X where A={x∈X:x∉f(x)}. We then show that A cannot be in the image of f, contradicting the assumption of a bijection. If f(x) contains x, then x∈A implies x∉f(x), and if f(x) does not contain x, then x∉A implies x∈f(x). Hence, A cannot be in the image of f, and f is not a bijection.

(c) As an application, we can use the result to prove that the set of functions from N (the set of natural numbers) to {0,1} is uncountable. Assume there exists a bijection between N and the set of functions from N to {0,1}. Using the argument from (b), we construct a function that does not belong to the image, leading to a contradiction. Therefore, the set of functions from N to {0,1} is uncountable.

In summary, by providing an example of an injective function, proving that it cannot be a bijection, and applying this result to the set of functions from N to {0,1}, we establish that the cardinality of X is strictly smaller than the cardinality of P(X).

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Complete Question

Let X be a set and let P(X) be the power set of X. Complete the following argument to prove that the cardinality of X is strictly smaller than the cardinality of P(X). - (a) Give an example of an injective function f:X→P(X), so that the cardinality of X is less than or equal to the cardinality of P(X). - (b) To prove that the cardinalities are not equal, we must prove that there cannot be a bijection. We will use proof by contradiction. Suppose that f:X→P(X) is a bijection. Define a subset A⊆X by A={x∈X:x∈

/

f(x)}. Prove that A cannot be in the image of f and therefore f is not a bijection. Note that this can be viewed as an abstract version of Cantor's diagonalization argument. - (c) As an application of this result, prove that the set of functions from N to {0,1} is uncountable.

a) The expected value of X is 5/8.

b) The expected value of Y-\(X^2\) is 1/16.

c) The variance of X is 21/64.

(a) The expected value of a discrete random variable X with possible values x1, x2, ..., xn and corresponding probabilities p1, p2, ..., pn is given by:

E(X) = Σ(pi \(\times\) xi) for i = 1 to n

Using this formula, we can calculate the expected value of X as follows:

E(X) = (1/8\(\times\)(-1)) + (2/8 \(\times\)0) + (5/8 \(\times\) 1) = 5/8

Therefore, the expected value of X is 5/8.

(b) To find the probability function of Y-\(X^2\), we need to find the possible values of Y-\(X^2\) and their corresponding probabilities.

Y takes values -1, 0, 1 with probabilities 1/8, 2/8, 5/8 respectively. Therefore, Y-X^2 takes values (-1 - \((-1)^2\)), (0 - \(0^2\)), (1 - \(1^2\)), which simplify to -2, 0, and 0, respectively.

The probabilities of Y-X^2 taking these values can be found by considering all possible combinations of the values of X and Y. For example, when X = -1 and Y = -1, we have Y-\(X^2\) = -1 - \((-1)^2\) = -2. The probability of this occurring is 1/8 \(\times\)1/8 = 1/64. Continuing in this way, we can find the probabilities for all possible values of Y-\(X^2\):

Y-\(X^2\) = -2 with probability 1/64

Y-\(X^2\) = 0 with probability 3/8

Y-\(X^2\) = 2 with probability 5/64

Now we can calculate the expected value of Y-\(X^2\) as follows:

E(Y-\(X^2\)) = (-2 \(\times\) 1/64) + (0 \(\times\) 3/8) + (2 \(\times\) 5/64) = 1/16

Therefore, the expected value of Y-\(X^2\) is 1/16.

(c) The variance of a discrete random variable X with possible values x1, x2, ..., xn and corresponding probabilities p1, p2, ..., pn is given by:

Var(X) = E(X^2) - [E(X)\(]^2\)

To calculate Var(X), we need to first calculate E(X^2). Using the formula for expected value, we have:

E(X^2) = (1/8 \(\times\)\((-1)^2\)) + (2/8 \(\times\) \(0^2\)) + (5/8 \(\times\) \(1^2\)) = 7/8

Now we can calculate Var(X) using the formula above:

Var(X) = E(\(X^2\)) - [E(X)\(]^2\) = 7/8 - (5/8\()^2\) = 21/64

Therefore, the variance of X is 21/64.

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Answer:

assuming that the equations are equal to zero the answers would be

3   ,   -3    ,  5

Step-by-step explanation:

Answer:

55/ per hour

Step-by-step explanation:

110 / 2 = 55/ per hour

So, the unit rate is  55/ per hour

Answer:

The difference between the high and low temperature in the thermometer is 23°F.

Step-by-step explanation:

Given information: Highest temperature = 20°F and the lowest temperature = -3°F.

We need to find the difference between the high and low temperature in the thermometer.

Difference between the high and low temperature is

Difference = Highest temperature - Lowest temperature

Difference = 20°F - (-3°F)

Difference = 20°F + 3°F

Difference = 23°F

Therefore the difference between the high and low temperature in the thermometer is 23°F.

Answer:

1.x,y is the answer to first question

2.y=2x+5

Answer:

c

Step-by-step explanation:

2^4=16

(16-8)/16=8/16=1/2

Answer:

477.525cm^2

Step-by-step explanation:

A = pi X 4^2 = 50.265cm^2

Totals to 100.53cm^2

C = pi X 8 = 25.133

Area = 25.133 X 15 = 376.995cm^2

100.53+376.995= 477.525cm^2.

This is based on a survey conducted by the American Customer Satisfaction Index (ACSI) in 2020 that surveyed 1,097 passengers who had flown on U.S. airlines in the past 12 months.

A survey is a research method used to collect quantitative and qualitative data from a specific population. Surveys are often used to assess attitudes, opinions, and behaviors of a given group of people. They are typically administered in the form of a questionnaire, which can be administered in person, over the phone, or online. Surveys are often used in market research, political polling, social science research, and other types of research.

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Questions about dropping or adding a class, as well as inquiries about the classes required for specific majors, are best answered by academic advisors or counselors.

These professionals have the expertise and knowledge regarding the specific requirements and policies of academic programs. They can provide accurate and up-to-date information about class registration, course sequencing, major requirements, and any relevant academic policies or procedures. Academic advisors can guide students in making informed decisions about their course schedules, ensuring that they meet the necessary requirements for their chosen majors or academic goals.

It is recommended to reach out to the academic advising department at your institution to get personalized guidance and support regarding class registration and major requirements.

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Answer:

volume is equal to ratio

Answer:

This is your answer. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.

√4<√5<√√55  → 2 < 2.23 < 7.41

√8<2.9<√√9    → 2.82 < 2.9 < 3

Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

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James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

Answer:

y = 2x - 2

Step-by-step explanation:

Answer:

y= 2x -2

Step-by-step explanation:

x + 2y= 16

1.) rearrange the formula in the form y=mx + c

x + 2y = 16(subtract x on both sides)

2y = 16-x(divide by 2 on both side)

y = 8 - x/2

or

y = -x/2 + 8

2.)find gradient,use the formula:

M1 ×M2 = -1

M1 = -1/2

-1/2 × M2 = -1(divide by -1/2 on both side)

M2= 2

so our gradient is 2 and the only equation with the gradient of 2 is

y = 2x -2

The probability than an hotel room costs less than $130 per night is given as follows:

0.0885 = 8.85%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 204, \sigma = 55\)

The probability than an hotel room costs less than $130 per night is the p-value of Z when X = 130, hence:

Z = (130 - 204)/55

Z = -1.35

Z = -1.35 has a p-value of 0.0885.

New York City is the most expensive city in the United States for lodging. The mean hotel room rate is $204 per night. Assume that room rates are normally distributed with a standard deviation of $55. What is the probability that a hotel room costs less than $130 per night?

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The type of sampling method in which a sample frame is divided into groups is called stratified sampling.

The sampling method that describes the division of a sample frame into groups is called cluster sampling. This method involves randomly selecting groups (or clusters) from the population and then selecting individuals within those clusters to be part of the sample. It is different from stratified sampling, which involves dividing the population into subgroups and then randomly selecting individuals from each subgroup, and simple random sampling, which involves randomly selecting individuals from the population without any grouping. Systematic sampling involves selecting every nth individual from a list of the population.

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