HELP SOS MATHHH MATHH

The farthest point from P is point U with a distance of 6.4 units

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

P = (-1, 3)

To determine the farthest point, we make use of the distance formula represented as

distance = √[(y₂ - y₁)² + (x₂ - x₁)²]

So, we have

PR = √[(4 - 3)² + (2 + 1)²] = 3.2

PS = √[(1 - 3)² + (-4 + 1)²] = 3.6

PT = √[(5 - 3)² + (0 + 1)²] = 2.2

PU = √[(-2 - 3)² + (3 + 1)²] = 6.4

This means that the fartherst point is point U

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The type of sampling used to judge the appeal of the television sitcom is a b) stratified sample.

A stratified sample is a type of sampling where the population is divided into subgroups or strata based on certain characteristics, and then a random sample is taken from each of these strata. In this case, the population is divided into three age categories and a random sample of 10 people is selected from each category.

Stratified sampling is useful when the characteristics of each stratum are different and you want to make sure that the sample accurately reflects the entire population. By dividing the population into age categories, this method ensures that the sample is representative of the different age groups and their opinions on the pilot show.

Overall, stratified sampling is a useful method for accurately estimating the characteristics of a population by taking into account any relevant differences within it.

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The profit function is P ( x ) = 2x² + 5x - 12 and the number of months during which the company is not making a profit is x = 1.5 years = 18 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the profit function be represented as P ( x )

Let the cost function of the company be C ( x ) = 17 - 8x - 2x²

Let the revenue function of the company be R ( x ) = 5 - 3x

Now , Profit = Revenue - Costs

Substituting the values in the equation , we get

P ( x ) = R ( x ) = C ( x )

P ( x ) = 5 - 3x - ( 17 - 8x - 2x² )

On simplifying the equation , we get

P ( x ) = 2x² + 5x - 12

Now , when the profit of the company is 0

2x² + 5x - 12 = 0

On factorizing the equation , we get

2x² + 8x - 3x - 12 = 0

2x ( x + 4 ) - 3 ( x + 4 ) = 0

Taking the common factors of the equation , we get

( 2x - 3 ) ( x + 4 ) = 0

The value of x cannot be negative , so

2x - 3 = 0

Adding 3 on both sides of the equation , we get

2x = 3

Divide by 2 on both sides of the equation , we get

x = 3/2 years

Therefore , the number of months x = 18 months

Hence , the equation is solved

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Answer:

Below

Step-by-step explanation:

Circumf = pi * 2 r

Circumf/(2pi ) = r

area = pi r^2

       = pi * (circumf/2pi)^2    

        = circumf^2 / 4 pi =

                24^2 / (4 pi) = 45. 8  units^2  

Answer:

45.84 units^2

Answer:

below

Step-by-step explanation:

6x -6  = 8 x

-6 = 2x

x = -3

Answer:

X = -3

Step-by-step explanation:

Let's slowly create an equation

Six less than six times a number = eight times the number

if x = that number...

Six less than six times of x = eight times of x

6 less than 6 times of x is 6x-6

8 times x is simply 8x

So 6x - 6 = 8x

We can rearrange this equation by adding 6 to one side and subtracting 8x from the other

6x - 8x = 6

Combining like terms makes it -2x = 6

Last step is dividing by -2, giving us x = -3

Step-by-step explanation:

To find the polynomial for the total electricity generated by both geothermal and wind power during 2002-2007, we need to add the two given polynomials.

The polynomial for the total electricity generated by both geothermal and wind power during 2002-2007 would be:

negative -19x^2+ 181x + 14,420 + 866x^2 – 78x + 10,190

Simplifying, we get:

847x^2 + 103x + 24,610

So the polynomial for the total electricity generated by both geothermal and wind power during 2002-2007 is 847x^2 + 103x + 24,610.

Answer:

Area is 438 Square Feet

Perimeter is 298

Step-by-step explanation:

Area is 438 Square Feet

Area= L x W

438 = L x 3

438 divided by 3 = 146

L=146

Perimeter is 2 (L x W)

2 (146x3)

Perimeter is 298

Step-by-step explanation:

The answer is do ur homework ur self

Answer: A line parallel to the x-axis and at a distance of 7 units above the x-axis.

Answer: We can set up an equation to represent the given information:

4.563 = 4B + 127

where B is the number of residents in Town B.

To solve for B, we can first subtract 127 from both sides:

4.563 - 127 = 4B

Then divide both sides by 4:

B = (4.563 - 127) / 4

B = 1.140775

So Town B has approximately 1.140775 residents.

Step-by-step explanation:

In the given case- An inverse of a Laplace transform, which is the sum of two distinct components, is the sum of the inverse transforms of each term separately.

What does inverse Laplace transform refer to?

A Laplace transform that is the sum of two different terms has an inverse that is the sum of the inverse transforms of each term taken separately. A Laplace transform, which also has an inverse of the constant multiplied by the inverse of the function, is produced when a constant is multiplied by a function.

A given derivative function with a real variable (t) is transformed into a complex function with a variable (s) by the Laplace transform, which is an integral transformation. Assuming that f(t) complies with a number of later-explained conditions,

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To calculate the probability of arrival of ten customer in one hour at a service station then use of option a. Poisson probability distribution is more applicable.

Therefore, the required probability for the given situation is Poisson probability distribution .

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Answer: y-int = (0,7)

x-int= (-7,0)

Step-by-step explanation:

-x+2y=7

2y=x+7

y-int = (0,7)

x-int= (-7,0)

on the graph, (1,4) (2, 4.5) (3, 5) etc

Answer:30, 22, 44

Step-by-step explanation: 2x+x+(x+8) represents how many calls for each  evening. you simplify,

2x+x+(x+8)=4x+8

you know the total is equal to 96, so you do 4x+8=96.

x=22 calls for the SECOND evening. Next, you double and add 8 to get each evening.

The probability that all 3 selected guinea pigs are pregnant is 0.033.

Let's consider the event "A" as "3 guinea pigs selected are all pregnant". The number of ways to choose 3 guinea pigs from the 4 pregnant ones is C(4,3) = 4. The total number of ways to choose 3 guinea pigs from the 10 is

C(10,3) = 120.

The probability of event "A" is given by

P(A) = C(4,3) / C(10,3) = 4 / 120 = 1/30.

Therefore, the probability that all 3 guinea pigs selected are pregnant is 1/30 or 0.033 rounded to 3 decimal places.

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a) The Nash Equilibrium is when both players put in the same effort level x1 = x2 = x.

b) The total payoff is a convex function of x1, which means that increasing x1 will always increase the total payoff.

a. Nash Equilibrium: A Nash Equilibrium is a set of strategies such that each player's strategy is a best response to the strategies of the other players.

In this game, each person i chooses their effort level x i to maximize their own payoff, which is the worth of the project divided by 2. Their individual payoff is given by:

pi = (2x1x2) / 2 = x1x2

By taking the derivative of pi with respect to xi and setting it to zero, we get the following first-order condition:

dpi/dx i = x2 - xi = 0

Since xi is in the range [0,1], we have xi = x2.

Thus, the Nash Equilibrium is when both players put in the same effort level x1 = x2 = x.

b. Total Payoff: The total payoff of the project is given by:

pt = x1x2 + x1x2 = 2x1x2

By factoring the total payoff function, we get:

pt = 2x1x2 = 2x1x1 = 2x12

So, the total payoff is a convex function of x1, which means that increasing x1 will always increase the total payoff.

Since the Nash Equilibrium is when both players put in the same effort level, there is no effort level that yields a higher total payoff than the Nash Equilibrium.

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Answer:

B.80

Step-by-step explanation:

use of pythagoras theorem.

a^2 + b^2 = c^2

where c is hypotenuse

Answer:

D

Step-by-step explanation:

first we can see from question is finding perimeter which means first step we need is  

                       24+24=48

second , we can know it from picture

ABD=[tex]\frac{1}{2}[/tex] times 60= 30, which means it is 1/2 marks

P=DB/BA

which we see DB=BE

so 2 time DB( or BE)=18 which is 18

so we just need use 24+24+18=66

The range includes all numbers from 0 to 12.5. So correct option is D.

Probability is a branch of mathematics that deals with the likelihood or chance of an event happening. It is a number between 0 and 1 that indicates the likelihood of an event occurring, with 0 meaning that an event is impossible and 1 meaning that an event is certain to occur.

Probability is used to model and make predictions about real-world situations such as the outcome of a coin flip, the results of a survey, or the success of a marketing campaign. It is also used in many fields including statistics, finance, engineering, and sciences to make decisions based on uncertain data.

Probabilities can be calculated using various methods, such as counting, Bayes' theorem, and simulation. In general, the probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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The number of days you will need to work in order to earn R3500,00 given the ratio of amount earned in 5 days is 20 days

If in 5 working days, you earn R87,500

Then, you will earn R350,000 in x working days

The task content can be solved using the concept of equivalent ratio;

Number of days : amount earned

5 : 87,500 = x : 350,000

5/87500 = x / 350,000

cross product

5 × 350,000 = x × 87500

1,750,000 = 87,500x

divide both sides by 87,500

x = 1,750,000 / 87,500

x = 20

Hence, you need to work for 20 days in order to earn R350,000

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Max saves £5.50, which is 550p.

For every 50p Max saves, his mum gives him 20p, so for 550p, he gets 550/50 * 20p = 440p from his mum.

Altogether, Max has 550p + 440p = 990p, which is equivalent to £9.90.

Answer:

(a) The number of tiles Jon will use to cover the worktop is 6 * 15 = 90 tiles.

(b) To find the length of the worktop, we first need to find the length of each tile, which is 20 cm = 0.2 m.

The length of the worktop is then 0.2 m * 6 tiles = 1.2 m.

The width of the worktop is 0.2 m * 15 tiles = 3 m.

So, the length of the worktop is 1.2 m and the width is 3 m.

Step-by-step explanation:

I'm not sure if there were answer choices, but the smallest possible positive integers for x/y=2 is x=2 and y=1

If we plug those in to the other equation

(x^2+y^2)=z

(2^2+1^2)=z

(4 + 1) = z

5=z

Indicating that any number less than 5 cannot equal Z

Are "being male" and "knowing Python" are independent events and 0.09 is the probability that he knows Python

It is a branch of mathematics that deals with the occurrence of a random event.

Given that In a large IT company,

75% of programmers are male while 36% know Python.

27% of the programmers are male and know Python.

We need to find the probability that he knows Python

P(M)=0.75

P(P)=0.36

P(MUP)=0.27

The probability that he knows Python is 0.36-0.27=0.09

Independent events are those events whose occurrence is not dependent on any other event.

Hence, are "being male" and "knowing Python" are independent events and 0.09 is the probability that he knows Python

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(a) New value = 0.81 * Old value

(b) New value = 0.81 * $388,000 = $313,480.

Answer:

  ±320

Step-by-step explanation:

You want the 4th term of the geometric progression that has first and third terms 5 and 80.

The general term of a geometric sequence is ...

  an = a1·r^(n-1)

for first term a1 and common ratio r.

We are given the 1st and 3rd terms, so we can find the common ratio from ...

  80 = 5·r^(3-1) . . . . . use a3 = 80, a1 = 5, n = 3

  16 = r^2 . . . . . . divide by 5

  ±4 = r . . . . . . . . take the square root

The 4th term will be the product of the 3rd term and the common ratio:

  a4 = a3·(±4) = 80·(±4) = ±320

The fourth term is -320 or +320.

Answer:

16.625 miles

Step-by-step explanation:

The time elapsed between 4:45 pm and 12 noon is 4 hours and 45 minutes

45 minutes is equivalent to 45/60 = 0.75 hour

Total elapsed time = 4.75 hours

At a speed of 3.5 mph the distance that can be covered

= 3.5 x 4.75 = 16.625 miles

Income normally uses a ratio scale of measurement.

Hence, option (a) is correct choice.

A ratio scale is a numerical scale with a genuine zero and equal gaps between adjacent points. A zero on a ratio scale, unlike an interval scale, indicates the complete absence of the variable being measured. Ratio scales include length, area, and population.

A ratio scale may be used to label variables, arrange them in order, and calculate the equal distance between variables. The ratio Scale enables unit conversion. British thermal units, such as Joules, kilograms, and grams, are ratio scale units.

As several elements of a given unit, interval scale may quantify size and magnitude. A ratio scale can be used to quantify size and magnitude by dividing one designated unit by another.

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Shannon planted 6 - t trees.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

Shannon planted t fewer trees than toby.

Toby planted 6 trees.

Shannon planted.

= t - 6 trees.

Therefore, the result is 6 -t.

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