Employees at a company are given £1,500 to spend on items for the office. They decide to buy a coffee machine and as many bean bags as possible. Bean bags cost £75 with an offer of "Buy at least 15 get 10% off the price." The coffee machine costs £210. How much will they have left over from the £1,500?​

Answer:

247.7 cm³

Step-by-step explanation:

V = πr²h

V = 3.14159 × (3.2 cm)² × 7.7 cm

V = 247.70808 cm³

Answer: 247.7 cm³

170/425=0.4

as a percent  = 40%

The value of x in the expression, x³ = 3.4 is x = 1.50369.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations.

Given:

x³ = 3.4

Calculate the value by taking the cube root of both sides as shown below,

x = ∛3.4

x = 1.50369

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The probability that a customer chosen at random holds a Visa card, given that the customer holds an American Express card, is 40/500 = 0.08.

The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

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The value of the expression will be;

⇒ 211 miles

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 68 miles + 10 fewer miles + 85 miles

Now,

Since, The expression is,

⇒ 68 miles + 10 fewer miles + 85 miles

Hence, We get;

⇒ 68 miles + 10 fewer miles + 85 miles

⇒ 68 + (68 - 10) + 85

⇒ 68 + 58 + 85

⇒ 211

Thus, The value of the expression = 211 miles

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Mia's is the mother of the daughter of the mother of Mia's daughter.

What is athematic?

Athematic is a type of language that does not use inflectional morphology. This means that words do not change their form to indicate different aspects of meaning, such as tense, person, number, gender, case, and mood. Instead, the meaning of a sentence is conveyed through the use of different words and word order. Many languages, such as English, Chinese, and Japanese, are athematic. Additionally, some languages, such as Russian, have both athematic and inflectional forms.

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Complete Question:
_____ is the mother of the daughter of the mother of Mia's daughter.
A) Mia
B) Emely
C) Tena
D) Anna

1. y = 2x + 3

2. y = x^2 + 5x - 3

3. y = -2x^2 + 7x – 4

are the 3 examples of equation with y intercept.

1. The first example is a linear equation, which has the form of y = mx + b, where m is the slope and b is the y-intercept.

2. The second example is a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.

3. The third example is also a quadratic equation, with the form of y = ax^2 + bx + c, where a, b, and c are coefficients.

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{30,40,50} data set has the greatest sample standard deviation.

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.

The formula for Standard deviation is

σ=√∑(x-µ)²/n

µ is the mean.

For data set: {102,105, 108}

Mean=105

S.D=√∑(102-105)²+(105-105)²+(108-105)²/3

=√9+9/3=√18/3=√9×2/3=3√2/3=√2

For data set: {55,60,65}

Mean=60

S.D=√∑(55-60)²+(60-60)²+(65-60)²/3

=√25+25/3=5√2/3

For data set: {120,121,122}

Mean=121

S.D=√(120-121)²+(121-121)²+(122-121)²/3

=√1+1/3=√2/3

For data set: {30,40,50}

Mean=40

S.D=√(30-40)²+(40-40)²+(50-40)²/3

=√200/3

=10√2/3

Hence, {30,40,50} data set has the greatest sample standard deviation.

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Answer:

Translation, then reflection. E

Step-by-step explanation:

E is correct because 1 and 2 have a reflection meanwhile number 3 has a translation.

Answer:

sure

Step-by-step explanation:

just ask

Answer:

Only if you get it done by 11:59 tomorrow

Step-by-step explanation:

Answer:

Answer =6/100

=3/50

hope it's help uhh

The linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let Max make x cups of lemonade cup.

According to given conditions,

Cost of 1 cup of lemonade = $3.

Also, Max pay for renters fee = $35.

The cost of x cups of lemonade = 3x

The total cost c = 3x + 35

Since, Max sells lemonade for $5 per cup.

Let the selling price is represented by y,

Then selling price y = 5x

Hence, linear equations for cost price and selling price are c = 3x + 35 and  y = 5x.

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The first thing he should do is to define the problem to be researched and determine his data needs.

scenario (plural scenarios) a description of the storyline of a play or book. The actual screenplay, as well as any related treatments or outlines. An example of an expected or alleged series of events, expressed as an outline or model.

Intentionally casual, unfinished, and incomplete narrative depictions of significant use circumstances occurring throughout time are called scenarios. A usage scenario describes how someone might use a present system or product. The utilization of a system or product that is currently being developed is described in a design scenario.

The first thing he should do is to define the problem to be researched and determine his data needs.

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If Anova is used in a research study using two therapy groups , then there will be 6 different sample means , the correct option is (d) .

In the question ,

it is given that ,

Anova is used in a research study using two therapy groups ,

for each group , scores will be taken

(i) before the therapy,

(ii) right after the therapy, and (iii) one year after the therapy.

that means ,

the number of therapies group = 2 and

the number of times the measurement is taken is = 3 .

So , the number of sample means is = 2 × 3 = 6 .

Therefore , there will be 6 different sample means .

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The total number of leaves the tree has is :

19 where  the degrees of the non-leaf vertices are 10, 7, 4, and 4.

Given:

a tree contains some number of leaves (degree 1 vertices) and four non-leaf vertices.

the degrees of the non-leaf vertices are 10, 7, 4, and 4.

how many leaves does the tree have = ?

The degree of the non leaf vertices are 10, 7, 4, 4

let the number of leaves be = k

So the tree has 4+k vertices.

and hence (4+k)-1 edge ⇒ 3+k

so ∑ deg(v) = 10+7+4+4+1k

                   = 25+k

and 2[E(T)] = ∑ deg(v)

2(3+k) = 25+k

6 + 2k = 25+k

2k-k = 25-6

k = 19

Hence the number of leaves the tree have is 19.

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The equation the line perpendicular to the line given is y = -x/4+2

The slope of a line is a number that describes both the direction and the steepness of the line.

Given that, a line is perpendicular to y = 4x + 8 and passes through (−8, 4).

The equation of general line is; y = mx+c, where m is the slope.

We know that, two lines perpendicular to each other will have slope negative reciprocal of each other.

Therefore, the slope of the asked line is -1/4

Finding for c,

4 = -1/4x(-8)+c

c = 4-2

c = 2

Therefore, equation will be; y = -x/4 +2

Hence, The equation the line perpendicular to the line given is y = -x/4+2

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Shayla will pay a sum of $1020 for cleaning the remaining area.

What is Area?

The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Solution:

Area of Rectangle = Length * Breadth

Area of the Room = 20*17 = 340 sq. ft.

Area of the Rug = 17*14 = 238 sq. ft.

Area Left = 340 - 238 = 102 sq. ft.

Total Charges will be $10*102 = $1020

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After solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.

An element of a whole is a fraction.

The number is represented mathematically as a quotient, where the numerator and denominator are split.

Both are integers in a simple fraction.

A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

So, calculate as follows:

1 * 1/4 = 1/4 ...(1)

1/4 * 2/3 = 2/12 ...(2)

2/12 * 1/10 = 2/120 ...(3)

Fraction left to pay:

1 - (1/4 + 2/12 + 2/120)

1 - (30+20+2/120)

1 - (52/120)

1 - 13/30

30-13/30

17/30

Therefore, after solving the fractions, we can conclude that the fraction left for the pay birthday party is 17/3.

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The amount of the money paid by the Norm as a tax will be $4903.5.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Norm has an income of $32,690. He paid a total of 15% of his income in tax.

The amount of tax paid will be calculated as,

Amount = ( 32690 x 15 ) / 100

Amount = 32690 x 0.15

Amount = $4903.5

The Norm will pay $4903.5 in taxes.

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The probability that he at least misses one is equal to 61/125.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given in the question

basketball player makes 80% of his free throw attempts i.e.

P(Success) = 4/5 or 0.8

P(Miss the attempt) = 1 - 0.8 = 0.2 or 1/5

Number of sample (n) = 3

We need to calculate probability that he at least misses one i.e.

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0)

Here we will use binomial probability distribution which can be calculated as

P(X = n |N, p)= NCn x (p^n) x (1-p)^(N-n)

P(X > = 1) = 1 - P(X < 1) = 1 - P(X = 0) = 1 - 3C0 x (1/5)^0 x (1 - 1/5)^(3-0)

=  1 - (1 x 1 x 64/125) = 1 - 64/125 = 61/125

Hence, the probability that he at least misses one is equal to 61/125.

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10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

Given that,

The measurements are depicted in a segment of a circular design on the drawing.

We have to find what length is the circle's radius.

We know that,

Let us take the up line as AB and the perpendicular line is OP.

So,

In ΔOPB

∠P=90°

PB=5cm

OP is perpendicular to AB.

Sin30° = PB/OB

1/2=5/OB

OB=5×2

OB=10

Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.

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Answer:

x = -3.57

Step-by-step explanation:

First, subtract the answer and the other interger: -5.37 - (-1.8). Two negatives equal a negative. So, your answer would be -3.57

To double check, you would add -3.57 + (-1.8) [-+-=-] Equals, -5.37.

I hope this helped you!

The first statement is false and answer to second statement is no.

The mentioned information does not state that x and y are linearly related or not. If they are not related in linear way, the mean value of y would not be located at the mean of the x values.

Confidence intervals indicate the mean or population of the sample. For the confidence interval of sales of pizza stores, the similar data would be required for comparison using statistics tool. Hence, the relevant data should be sales of nearby pizza stores till now. Thus, the mentioned statement is irrelevant.

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Answer: 64 ounces

Step-by-step explanation:

Let's start with what we know:
1 pound = 16 ounces, so

4 pounds would equal

64 ounces!

Answer:

64 oz

Step-by-step explanation:

1lb =16oz so you multiply 16 by 4 and you get 64

1) It is a conservative force, yes.

2) At (5m, 5m), the potential energy is 20 J.

1) If the work that a force performs when moving an item depends only on the object's initial and final positions and not on the path travelled, the force is said to be conservative.

Let's verify if this condition is met for the force in this problem:

- For moving from (0 m, 0 m) to (5 m, 5 m), the work done is 20 J (A)

Then we can go from (0 m, 0 m) to (5 m, 5 m) through a different path:

- from (0 m, 0 m) to (5 m, 0 m) (work done: 25 J)

- from (5 m, 0 m) to (5 m, 5 m) (work done: -5 J)

Total work done in the second path: 25 J + (-5 J) = 20 J --> same as (A)

We can also go from (0 m, 0 m) to (5 m, 5 m) through a different path:

- from (0 m, 0 m) to (0 m, 5 m) (work done: 35 J)

- from (0 m, 5 m) to (5 m, 5 m) (work done: -15 J)

Total work done in the third path: 35 J + (-15 J) = 20 J --> same as (A)

So, the force is conservative, since the work done does not depend on the path taken.

2) For a conservative force, the change in potential energy of the object moved by the force is equal to the work done by the force in moving the object from A to B.

Here have:

Point A: (0m, 0m)

Point B: (5m, 5m)

In this problem, the potential energy at the origin (point A) is zero, so,

[tex]W = U_{b} - U_{a}[/tex]

Also we know that the work done is W = 20 J

So, we find

[tex]U_{b} = W + U_{a}\\=20 + 0\\= 20J[/tex]

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Correct Question:

A force does work on a 50 g particle as the particle moves along the following straight paths in the xy-plane: 25 J from (0 m, 0 m) to (5 m, 0 m); 35 J from (0 m, 0 m) to (0 m, 5 m); -5 J from (5 m, 0 m) to (5 m, 5 m); -15 J from (0 m, 5 m) to (5 m, 5 m); and 20 J from (0 m, 0 m) to (5 m, 5 m).

Is this a conservative force?

If the zero of potential energy is at the origin, what is the potential energy at (5m, 5m)?

k'(4, -7)

L'(9, -7)

M'(6, -5)

N'(5, -5) are the new coordinates of the vertices.

Coordinates of a point:

A point's coordinates are a pair of numbers that pinpoint where it is precisely on a two-dimensional plane.

Remember that the x and y axes are two axes that are at right angles to one another and make up the coordinate plane.

A particular point's coordinates show how far along each axis it is situated.

The coordinate's sign is crucial. A positive number indicates moving upward or to the right (x) (y).

Negative numbers indicate turning left (x) or falling (y).

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Answer:47

Step-by-step explanation:

Answer:

Your answer is 47, hope it helps.

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

In the given question we have to explain what is range in relation and function.

The range refers to all the entities (output) that result from a relation or function. The Range set is made up of all used output values (dependent values).

The group of all possible dependent values that a function or relation can produce from its domain values is known as its range. It consists of every potential output.

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The vertex in triangle ABC is at point A, B, and C.

Step by Step explanation :

Given triangle is represented by ΔABC

Therefore, the vertex of the given triangle ABC is given by point A, B , and C.

The complete question is:

Where is the vertex in  triangle ABC?

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The integer in the solution set will make the equation true is 7.

The integer is a whole number which can be negative or positive or zero, they are written in fraction formate.

Given is an equation, 6x − 8 = 2(2x + 3)

Checking for x = -2, we get,

LHS = -2x6 - 8 = -12-8 = -20

RHS = 2(-2x3+3) = 2(-4+3) = 2x-1 = -2

LHS ≠ RHS

Checking for x = 0, we get,

LHS = 6x0-8 = -8

RHS = 2(2x0+3) = 2x3 = 6

LHS ≠ RHS

Checking for x = 7, we get,

LHS = 6x7-8 = 42-8 = 34

RHS = 2(2x7+3) = 2x17 = 34

LHS = RHS

Therefore, when x =7, both the expressions are equal.

Hence, the equation is true for the x =7

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