Here is a scale diagram of part of a wall.
Scale: 4 cm represents 1
Kamran measured the dimensions on the diagram to be 8 cm and 4 cm.
Kamran is going to cover this part of the wall with square tiles.
Each tile has sides of length 10cm.
The tiles cost 25p each.
Kamran spends £60 on tiles.
Show that Kamran has bought enough tiles.
(4 marks)
Kamran bought
tiles
Kamran needs
tiles
Please answer urgently and detailed !!!!

Answer:

f(5) = 39

Step-by-step explanation:

The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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Answer:

\(\frac{27}{1000}\)

Step-by-step explanation:

=> \((\frac{3}{10} ) ^3\)

=> \(\frac{(3)^3}{(10)^3}\)

=> \(\frac{27}{1000}\)

Answer:

It's 0.003.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

• Sum of zeroes ( a + b ) = -3

• Product of Zeroes ( ab) = -5/2

• The quadratic equation .

As we know that :

• Quadratic equation

=> x² - ( sum of Zeroes )x + product of zeroes =0

Put the given values :

=> x² - (-3)x + ( -5/2) = 0

=> x² + 3x -5/2 = 0

=> (2x² + 6x -5) / 2 = 0

=> 2x² + 6x -5 = 0

Hence , the quadratic equation is 2x² + 6x -5 .

I hope it will help you.

Regards.

The expression that will equal a rational product even though it is multiplying two irrational numbers is "StartRoot 11 EndRoot times StartRoot 11 EndRoot."

In mathematics, the product of two irrational numbers can sometimes result in a rational number if the irrational numbers are related in a specific way. In this case, both the irrational numbers are equal to the square root of 11. When you multiply the square root of 11 by itself, you are essentially squaring the number. The square of any number, whether rational or irrational, is always a rational number. Therefore, the product of StartRoot 11 EndRoot times StartRoot 11 EndRoot is rational.

To explain this concept further, let's consider the square root of 11. It is an irrational number because it cannot be expressed as a fraction or a terminating or repeating decimal. When you multiply it by itself, you are essentially finding the square of the number. In this case, the square of StartRoot 11 EndRoot is equal to 11. The number 11 is a rational number because it can be expressed as a fraction (11/1) or a terminating decimal (11.0). Thus, the product of two irrational numbers, StartRoot 11 EndRoot times StartRoot 11 EndRoot, results in a rational number.

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Answer:

x= 2

Step-by-step explanation:

Isolate the radical

Raise each side of the equation to the power of 3

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Answer:

The expression i think Gabriel might have written is

3x + 6

Step-by-step explanation:

i may not be right

The most likely age-related effect for SuLyn of the medications she takes every day is (c) Slowed clearance of drugs from her system, resulting in potentially cumulative effects.



As people age, various changes in their bodies may affect the way drugs are absorbed, distributed, metabolized, and eliminated. In older adults, such as SuLyn, slowed clearance of drugs from the system is a common concern. This can lead to the following issues:

1. Reduced kidney function: With age, the kidneys become less efficient at filtering and eliminating drugs from the body. This can cause drug levels to build up in the system, increasing the risk of side effects or toxicity.

2. Slower liver metabolism: The liver is responsible for breaking down and metabolizing many medications. As people age, liver function declines, leading to a slower metabolism of drugs and potentially cumulative effects.

3. Changes in body composition: Older adults tend to have a higher percentage of body fat and a lower percentage of lean body mass. This can affect how drugs are distributed in the body, leading to changes in drug levels and a slower clearance rate.

These factors may contribute to a higher risk of cumulative effects and drug interactions in older adults, like SuLyn, who are taking multiple medications. It is essential for healthcare professionals to closely monitor drug levels and adjust doses accordingly to minimize potential adverse effects.

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C. When there is no outlier, the mean is the appropriate measure of center.

When there are no outliers in a dataset, the mean is a good measure of center because it takes into account the values of all the data points. The median is also a good measure of center, but it may not be the best choice if there are extreme values or outliers in the dataset, as it can be influenced by those values. However, when there are no outliers, both the mean and the median are appropriate measures of center.

Option A is not true because the mean is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and it can be affected by outliers, but not by the absence of outliers.

Option B is not true because the median is not skewed in one direction when there is no outlier. Skewness refers to the shape of the distribution, and the median is not affected by the shape of the distribution, but by the position of the values.

Option D is not true because the median can be used as the measure of center even when there is no outlier. It is a robust measure of center that is not influenced by extreme values.

Using the slope and y - intercept of the line, the equation of the line is

y = -50x + 350

The equation of a straight line is a mathematical representation that describes the relationship between the x and y coordinates of points on the line. It is written in the form y = mx + b, where y represents the dependent variable (usually the vertical axis), x represents the independent variable (usually the horizontal axis), m represents the slope of the line (indicating the rate of change of y with respect to x), and b represents the y-intercept (the point where the line crosses the y-axis).

To determine the equation of the line, we have to determine the slope and the y-intercept.

Taking two points from the graph;

(0, 350) and (2, 250)

The slope of the line is calculated as;

m = y₂ - y₁ / x₂ - x₁

m = 250 - 350 / 2 - 0

m = -100 / 2

m = -50

From the graph, the y - intercept is at 350.

The equation of the line is y = -50x + 350

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Answer:

i believe its “for each hour that michelle drive, she traveled an additional 50 miles” :) doing the quiz rn

Step-by-step explanation:

Answer:

180m cubed

Step-by-step explanation:

Multiply the length, width, and height together: 6×6×5=180

Answer:

Formula of a rectangular prism:

L x W x H

Now we place in the numbers and solve:

5 x 6 x 6 = 180 m3

The monthly utility bill (i.e. the x-value) that corresponds to a z-score of -0.75 is 64

Z-score gives you an idea of how far from the mean a data point is.

it’s a measure of how many standard deviations below or above the population mean a raw score is. A z-score can be placed on a normal distribution curve. Z-scores range from -3 standard deviations (which would fall to the far left of the normal distribution curve) up to +3 standard deviations (which would fall to the far right of the normal distribution curve).

The basic z score formula for a sample is:

z = (x – μ) / σ

According of the question,

Monthly utility bills in a city follows normal distribution

Mean of the monthly utility bills in a city : μ = $70

A standard deviation of monthly utility bills in a city : σ = $8

Z-score of utility bill = -0.75

z - score = x - μ / σ

=> - 0.75 = x - 70 / 8

=> -6 = x - 70

=> x = 70 - 6

=> x = 64

Hence , the x-value is 64

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Answer:

Subtracted from 33

Step-by-step explanation:

Every year, the bear population shrinks  by a factor of  2/3.

Two or more expressions with an Equal sign is called as Equation.

The exponential model is: N(t)=2187.(2/3)t

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population shrinks  by a factor of  2/3.

Hence, Every year, the bear population shrinks  by a factor of  2/3.

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Answer: it might be 0.22 or 0.50

Step-by-step explanation:

cause i did 22/100 and 50/100 and got these answer one of them might be right or both of them are wrong. This is what i think so.

Answer:

Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.

Step-by-step explanation:

Fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept

Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).

In order to find the slope of the line, the following formula is used -

m = (y₂ - y₁)/(x₂ - x₁)

So, the slope of the line passing through the given points can be calculated using the following steps -

m = (6 - 8)/{4 -(-2)}                       ..[1]

m = -2/6                              

m = -1/3

Fern made mistake in writing equation [1]. She should have written

{4 -(-2)} in the denominator in place of {-2 - 4}

Therefore, fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

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y=10+2(x-4)

Use the distributive property to multiply 2 by x-4.y=10+2x-8

Subtract 8 from 10 to get

y=2+2x

Step-by-step explanation:

I think this is right good luck

By finding the maximum common factor, we can see that the maximum number of bags is 4.

If we want to find the largest number of bags, then we need to find the largest common factor between the two numbers of candies.

There are 36 orange gummy bears, we can rewrite that number as a product of prime factors:

36 = 2*2*3*3

There are 44 grape gummy bears, we can rewrite the number as:

44 = 2*2*11

The maximum common factor between these two is 2*2 = 4

So the maximum number of bags that we can have is 4.

Each bag will have 11 grape bears and 9 orange bears.

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Answer:

A. {-2, -1, 0, 3, 5}

Step-by-step explanation:

The domain is the set containing the x-coordinates of all the points of the function.

{(-2, 1), (0, 0), (3, -1) (-1, 7), (5, 7)}

Domain: {-2, -1, 0, 3, 5}

Explanation:

Every point of that given function is in the form (x,y). The x coordinate is always listed first. The domain is the set of allowed x values of a function. All we do is list the x coordinates of each point. Optionally you sort the x values from smallest to largest just to keep things consistent. Though a set like {1,2,3} is the same as {3,1,2}.

Side note: the range is the set of possible y values of a function

a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.

In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.

To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.

The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.

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The present value of $250 to be received in one year at an interest rate of 20% is $208.33.

This can be calculated using the following formula:

Present Value = Future Value / (1 + Interest Rate)^Time Period

In this case, the future value is $250, the interest rate is 20%, and the time period is 1 year.

Present Value = $250 / (1 + 0.20)^1 = $208.33

This means that if you were to receive $250 in one year, the equivalent amount of money today would be $208.33.

This is because if you were to invest $208.33 today at an interest rate of 20%, you would have $250 in one year.

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The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

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Answer:

Step-by-step eFor problems 5-9 compute the difference quotient of the given function. ... (90F16x9= 5 6+714x-1 8-3(x2-2X+; ... 4. 8(x)=4(x-3)* +21 *= 4(y-795121 g'x)= x2! +3. 5. W (x)=19–1lx x= 29. ligy W6w) ... Ź : 5 2 2 2 2 2. 2. sin( 1 ) sep. (cos, sin). (6) tan a c : a = 2 b = 1/2. 4.co(1). Х ... Sketch the graphs of each of the following functions.

xplanation:

Answer: 2 combinations .

Red, Yellow, Green, Blue

Blue, Green, Red, Yellow

Step-by-step explanation:

Step-by-step explanation:

hope u will get help with the attachment

Answer:

The area of square and  the hole is, 28.26 \(inch^{2}\)

Step-by-step explanation:

The mathematical tool of probability is used to examine unpredictability. It is concerned with the probability of an event occurring. If you throw a fair coin four times, the results are unlikely to be two heads and two tails.

let us find the area of square and the hole is,

\($$\begin{gathered}8 \cdot 8=64 \text { inch }^{2} \\3^{2} \pi=9 \pi=28.26 \text { inch }^{2}\end{gathered}$$\)

The area of square and  the hole is, 28.26 \(inch^{2}\)

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Answer:

I think it may be six , but I may be wrong

Step-by-step explanation:

Answer:

sixths

Step-by-step explanation:

Remember the denominator is the number you are dividing the pieces into. Thats why we call it a di"vid'end.

The students of Ace College found a nearly perfect positive correlation between two variables in their research study. The nearly perfect positive correlation suggests that the two variables are closely related and move in sync with each other.

In their research study, the students of Ace College discovered a nearly perfect positive correlation between the two variables they were investigating. The coefficient of correlation they arrived at is known as the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables.

The Pearson correlation coefficient ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation. Since the students found a nearly perfect positive correlation, the coefficient of correlation would be close to +1.

This indicates a strong and direct relationship between the variables, meaning that as one variable increases, the other variable also tends to increase consistently. The nearly perfect positive correlation suggests that the two variables are closely related and move in sync with each other.

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In the parallelogram, the coordinates form of the vectors WX, XY, WZ, OZ are (18,3), (24, 21), (2x, y)  and (0,0).

The term coordinate in math is known as the set of values that represents the exact position on the coordinate plane

Here we know that WXYZ is a parallelogram and the position vectors of W, X and Y are (2,1), (6,3) and (4,7) respectively.

Then the value of the coordinate vectors are calculated as,

=> WX = (2,1) x (6,3) = (18, 3)

And the value of XY is calculated as,

=> XY = (6,3) x (4,7) = (24, 21)

And we know that the value of Z is (x, y), then the vector is calculated as,

=> WZ = (2,1) x (x, y) = (2x, y)

Finally the value of OZ is calculated as,

=> OZ =(0,0)  x (x , y) = (0, 0)

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