What is the area of the given figure in square centimeters?

Answer:

  €0.78

Step-by-step explanation:

To find Euros per Dollar, divide euros by dollars:

  €175/$225 = 7/9 €/$ ≈ 0.78 €/$

Kareem received about €0.78 for each dollar exchanged.

D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.

The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.

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Answer: Cylinder B is 50% bigger than cylinder A

Cylinder A volume:

= πr²h

= π(10)²(5)

= 500π

Cylinder B volume:

= 750π

Cylinder B bigger than Cylinder A by:

= (750π - 500π)/500π × 100 = 50%

\(\hrulefill\)

Hence, cylinder B is bigger than cylinder A by 50%

Answer:

Cylinder B is 50% bigger than Cylinder A

Step-by-step explanation:

\(\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)

Cylinder A

Given:

Substituting the given values into the formula:

\(\implies \sf Volume_A=\pi (10)^2(5)=500\pi \:in^3\)

Cylinder B

Given:

\(\implies \sf Volume_B=750\pi \:in^3\)

Percentage Change

\(\begin{aligned}\sf percentage\:change & =\sf \dfrac{final\:value-initial\:value}{initial\:value} \times 100\\\\& = \sf \dfrac{Volume_B-Volume_A}{Volume_A} \times 100\\\\& = \sf \dfrac{750\pi-500\pi}{500\pi} \times 100\\\\& = \sf \dfrac{1}{2} \times 100\\\\& = \sf 50\%\end{aligned}\)

Therefore, Cylinder B is 50% bigger than Cylinder A

The values of a, b, c are 152°, 28°, 152° respectively.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn.

The sum of angles at a point will give 360°.

This means that a + b + c + 28 = 360

c +28 = 180° ( angle on a straight line)

c = 180 -28

c = 152°

c = a( alternate angles are equal)

therefore the value of a = 152°

b = 28( alternate angles are equal)

therefore the value of b is 28

therefore the values of a, b, c are 152°, 28°, 152° respectively

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Answer:

(a)positive

(b)negative

(c)positive

(d)positive

Thee factory is able to provide 94.38 boxes per hour to the warehouse.

Rate = (2000 - 1245) / 8 = 94.38 boxes per hour

Therefore, the factory is able to provide 94.38 boxes per hour to the warehouse.

Boxes added in 40 hours = rate * time = 94.38 * 40 = 3,775.2

Therefore, the inventory at the end of a 40-hour work week would be:

1245 + 3775.2 = 5020.2 boxes

rate = (50000 - 1245) / time

Simplifying this equation, we get:

time = (50000 - 1245) / rate = 511.64 hours (rounded to two decimal places).

Therefore, it will take approximately 511.64 hours to fill the warehouse to its 50,000 box capacity,

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Answer:

8c2 - 4c - 12

Step-by-step explanation:

Answer:

8c^2-4c-12

Step-by-step explanation

So you have to multiply 4c into 2c and -3 first and then 4 into 2c and -3.

(4c+4)(2c-3)

4c X 2c is 8c^2

(4c+4)(2c-3)

4c X -3 is -12c

So for the 4c multiplying in you would get 8c^2 and -12c, but we still have to multiply in the 4

4 X 2c is 8c

(4c+4)(2c-3)

4 X -3 is -12

So then we would get 8c^2-12c+8c-12, however we can still combine the -12c and the 8c.  Combining those would get -4c.  So the final answer is 8c^2-4c-12

The assumptions necessary for OLS (Ordinary Least Squares) estimates to be BLUE (Best Linear Unbiased Estimators) include A. Var[u|X]=0, B. E[u|X]=0, C. The errors are normally distributed. D. Conditional mean assumption, E. Random sampling from the population, G. Var[u|X]=sigma-squared, and H. (X,Y) i.i.d. No large outliers are also desirable but not strictly necessary.

The acronym BLUE stands for Best Linear Unbiased Estimators, and it represents the desirable properties of the OLS estimates. To achieve BLUE, several assumptions need to be met.

Firstly, A. Var[u|X]=0 assumes that the error term u has no conditional heteroscedasticity, meaning that the variance of u is constant for all values of X. Secondly,

B. E[u|X]=0 assumes that the error term u has zero conditional mean, implying that there is no systematic bias or omitted variables.

Additionally, C. The errors are normally distributed assumption assumes that the errors follow a normal distribution.

D. The conditional mean assumption assumes that the expected value of Y given X is a linear function of X.

E. Random sampling from the population assumes that the sample is a random representation of the population.

G. Var[u|X]=sigma-squared assumes that the conditional variance of u given X is constant and equal to sigma-squared.

H. (X,Y) i.i.d. assumption assumes that the observations of X and Y are independently and identically distributed. Finally, although not strictly necessary, no large outliers as they can potentially affect the estimation results.

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Griffith's criteria for fast fracture in an ideal brittle material provide a framework for assessing the conditions necessary for rapid fracture. This theory is only applicable to brittle materials and assumes sharp, circumferential cracks with a small radius compared to the crack length.

By calculating the critical crack length using the formula σ = KIc/√(πa), we can determine the crack length required for propagation. In the example provided, the critical crack length for a nickel alloy is larger (1.73 × 10−6 m) compared to Sic ceramic (2.31 × 10−8 m). This implies that the nickel alloy can withstand more damage before fracturing, making it more suitable for applications such as compressor blades in jet engines.

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The student whο scοred 428 will nοt be admitted tο the schοοl because their scοre did nοt fall in the tοp 30% οf the distributiοn.

The gathered data is arranged in tables based οn frequency distributiοn. The infοrmatiοn cοuld cοnsist οf test results, lοcal weather infοrmatiοn, vοlleyball match results, student grades, etc. Data must be presented meaningfully fοr understanding after data gathering. A frequency distributiοn graph is a different apprοach tο displaying data that has been represented graphically.

Tο find the z-scοre οf the student whο scοred 428, we can use the fοrmula:

z = (x - μ) / σ

where x is the student's scοre, μ is the mean οf the distributiοn (400 in this case), and σ is the standard deviatiοn οf the distributiοn (60 in this case).

Plugging in the values, we get:

z = (428 - 400) / 60 = 0.467

Since the z-scοre οf the student is less than 0.524, which is the z-scοre cοrrespοnding tο the tοp 30% οf the distributiοn, we can cοnclude that the student did nοt scοre in the tοp 30%.

Therefοre, the student will nοt be admitted tο the schοοl based οn the admissiοn criteria οf scοring in the tοp 30%.

Hence, the student whο scοred 428 will nοt be admitted tο the schοοl because their scοre did nοt fall in the tοp 30% οf the distributiοn.

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Since trigonometric functions have no restrictions, there is no inverse. With that in mind, in order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one. A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.

Answer:

do not pass the horizontal line test

Step-by-step explanation:

Trigonometric are periodic, therefore each range value is within the limitless domain values ( no breaks in between ). Since trigonometric functions have no restrictions, there is no inverse. ... A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test

a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function. Domain: {1,2,3,4}. Range: {4,5,6,7}.b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function due to multiple outputs for input -3.

a) The relation {(1,4),(2,5),(3,6),(4,7)} represents a function because each input value (x) has a unique output value (y). The domain of the function is {1,2,3,4}, which includes all the x-values. The range is {4,5,6,7}, which includes all the corresponding y-values. In this case, for each x-value, there is only one y-value associated with it.

b) The relation {(−3,9),(−2,4),(0,0),(1,1),(−3,8)} does not represent a function because the input value -3 is associated with two different output values, 9 and 8. In a function, each input value should have a unique output value, but in this case, the input -3 has two different outputs, violating the definition of a function.Therefore, the relation in (a) represents a function with a defined domain and range, while the relation in (b) does not represent a function due to the presence of multiple outputs for a single input.

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Answer:

Step-by-step explanation:

9-3/5- -3=  slope= 6/8 or 3/4

AC is not perpendicular to XZ, because the slope of AC is -1 and the slope of XZ is 2/3. Hence, the correct answer options are:

B. Is not

A. -1

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

For the slope of AC, we have:

Point at A = (-1, 3)

Point at C = (4, -2)

Slope, m of AC = (-2 - 3)/(4 - (-1))

Slope, m of AC = (-2 - 3)/(4 + 1)

Slope, m of AC = -5/5.

Slope, m of AC = -1.

For the slope of XZ, we have:

Point at X = (12, 2)

Point at Z = (6, -2)

Slope, m of XZ = (-2 - 2)/(6 - 12)

Slope, m of XZ = -4/-6.

Slope, m of XZ = 2/3.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by this mathematical expression:

m₁ × m₂ = -1

-1 × 2/3 = -1

-2/3 = -1 (False).

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Complete Question:

Look at the picture. Then choose the correct option from each drop-down menu.

AC choose..

A. Is

B. Is not

perpendicular to XZ, because the slope of AC is Choose...

A. -1

B. -2

C. 2

D. 1

and the slope of XZ is 2/3

Answer: 34.35 343.5 3.3450 3,435 34​

Step-by-step explanation:

they are already in order from left to right

Answer:

The following is the order of the numbers from least to greatest:

3.3450

34​

34.35

343.5  

3,435

Answer:

Step-by-step explanation:

∠WZA + WZY = 180     {linear pair}

88 + ∠WZY = 180

∠WZY = 180 - 88

∠WZY = 92°

∠WXY + ∠WZY = 180     {Opposite angle in cyclic quadrilateral}

x + 92 = 180

       x = 180 - 92

x = 88°

let's keep in mind that the hypotenuse is just a radius unit and thus is always positive, whilst sine and cosine vary per Quadrant.

so we know the tangent is < 0, which is another way to say "tangent is negative", well, that only happens when the cosine and sine differ in sign, and that only happens in the II and IV Quadrants, so the angle β is on either of those Quadrants.

\(\sin(\beta )=-\cfrac{12}{13}\implies \stackrel{ \underline{IV~Quadrant} }{\sin(\beta )=\cfrac{\stackrel{opposite}{-12}}{\underset{hypotenuse}{13}}}\hspace{5em}\textit{let's find the \underline{adjacent side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=adjacent\\ o=\stackrel{opposite}{-12} \end{cases}\)

\(a=\pm\sqrt{ 13^2 - (-12)^2}\implies a=\pm\sqrt{ 169 - 144 } \implies a=\pm 5\implies \stackrel{ IV~Quadrant }{a=+5} \\\\[-0.35em] ~\dotfill\\\\ \cos(\beta )=\cfrac{\stackrel{adjacent}{5}}{\underset{hypotenuse}{13}}\hspace{5em} \tan(\beta )=\cfrac{\stackrel{opposite}{-12}}{\underset{adjacent}{5}}\)

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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The probability of drawing a red marble followed by a blue marble from a bag containing 4 red, 3 yellow, and 7 blue marbles can be calculated using the formula for conditional probability. Finally, we multiply these two probabilities together to get the joint probability of drawing a red marble followed by a blue marble, which is 14/91 or approximately 0.1538.

The probability of drawing a red marble on the first draw is 4/14 (or simplifying, 2/7) since there are 4 red marbles out of 14 total marbles in the bag. After the first marble is drawn, there are now 13 marbles left in the bag, with 7 of them being blue. Therefore, the probability of drawing a blue marble on the second draw given that a red marble was drawn on the first draw is 7/13. Multiplying these probabilities together gives us the joint probability of drawing a red marble followed by a blue marble: (2/7) * (7/13) = 14/91 or approximately 0.1538.

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The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:

Step-by-step explanation:

5, 5, 5, 16, 16, 28, 29, 32, 35, 48

Mode: 5, 16

Median: 44/2 = 22

range: 48 - 5 = 43

mean: (5 + 5 + 5 + 16 + 16 + 28 + 29 +32 + 35 + 48)/10 = 219/10 = 21.9

Answer:

x=-5

Step-by-step explanation:

2(5x-4)=10x-8

-3(3x-1)=-9x+3

10x-8-9x+3

x=-5

The answer you are looking for is -5.

Writing out the equation,

2(5x-4)-x-3(3x-1)

Using the Distributive Property for 2(5x-4) and -3(3x-1),

10x-8-x-9x+3

Using the Associative Property,

10x-x-9x-8+3

Simplifying the similar terms,

9x-9x-8+3

Canceling both "9x" terms, since 9x-9x is obviously 0,

0-8+3, or simply just -8+3.

-8+3=-5

So, therefore the final answer is -5.

I hope that this has helped you. Enjoy your day, and take care.

The approximate probability that no more than 30 items out of the random sample of 600 are defective is approximately 0.9983 or 99.83%.

To calculate the approximate probability that no more than 30 items out of a random sample of 600 are defective, we can use the binomial distribution formula. The binomial distribution is used to model the probability of a certain number of successes (in this case, the number of defective items) in a fixed number of independent Bernoulli trials (evaluating each item).

Given:

Probability of an item being defective (p) = 3% = 0.03

Number of trials (n) = 600

Number of defective items (k) we want to calculate the probability for is no more than 30.

Using the binomial distribution formula:

P(X ≤ 30) = Σ(k=0 to 30) [(nCk) * p^k * (1-p)^(n-k)]

Where nCk represents the number of combinations of choosing k items out of n.

However, calculating this sum directly can be tedious. Instead, we can use an approximation for the binomial distribution when n is large (n ≥ 30) and p is not too close to 0 or 1. This approximation uses the normal distribution:

Approximately, the binomial distribution can be approximated by a normal distribution with mean (μ) = n * p and standard deviation (σ) = √(n * p * (1-p)).

So, in our case:

μ = 600 * 0.03 = 18

σ = √(600 * 0.03 * 0.97) ≈ 4.1589

Now, to find the probability of no more than 30 defective items, we calculate the z-score:

z = (30 - μ) / σ

z = (30 - 18) / 4.1589 ≈ 2.89

Using the standard normal distribution table or a calculator, we can find the corresponding probability for a z-score of 2.89, which is approximately 0.9983.

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Answer:

An arrangement of objects, pictures, or numbers in columns and rows is called an array. Arrays are useful representations of multiplication concepts. This array has 4 rows and 3 columns. It can also be described as a 4 by 3 array.

Step-by-step explanation:

hope this helps i looked it up if not im srry

Answer:

They are similar in many ways.

Step-by-step explanation:

Arrays are useful representations of multiplication concepts. Multiplication is similar to arrays because arrays use columns and rows to represent the digits and numbers in the equation. Addition is similar to the two because you can repeat it and you will get the same product (or sum). Equal groups are similar because it has the same number of items inside. It can be similar to all the others. So that is why they are related.

The functions that are solutions of the differential equation y''?4y'+4y=e^t are: (B) y=e^(2t)+te^t & (E) y=e^(2t)+e^t.The given differential equation is, y''+4y'+4y=e^t ...(1)

We have to find the solutions of the differential equation. Let's solve the differential equation:(1) => r²+4r+4=0Now, solve the quadratic equation using the quadratic formula: r= (-(4)+√((4)²-4(1)(4))) / 2(1)= -2 (repeated)So, the solution of the corresponding homogeneous equation is:(2) yh= (c₁+c₂t)e^(-2t) ---------------(2)Now, we have to find a particular solution of the non-homogeneous differential equation (1).

Let, yp= Ae^t. Now, yp'= Ae^t, yp''= Ae^t. Substitute yp and its derivatives in the equation (1):yp''+4yp'+4yp= e^tAe^t+4Ae^t+4Ae^t= e^t9Ae^t= e^tA= 1/9Therefore, the particular solution is,(3) yp= e^t/9 ------------(3)

Hence, the general solution of the given differential equation is,(4) y= yh+yp= (c₁+c₂t)e^(-2t) + e^t/9Now, substitute the initial conditions in the general solution to get the constants c₁ and c₂:Let, y(0)=0 and y'(0)=0, then,c₁= -1/9 and c₂= 5/9Finally, the solution of the differential equation y''?4y'+4y=e^t is,(5) y= -(1/9)e^(-2t) + (5/9)te^(-2t) + e^t/9 =(e^(2t)+te^(2t))/9+ e^t ...

(Ans)The options that represent the functions that are solutions of the differential equation y''?4y'+4y=e^t are: (B) y=e^(2t)+te^t & (E) y=e^(2t)+e^t.

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Answer:

The answer is "\(y = \frac{1}{4}(x-4)\)".

Step-by-step explanation:

Given:

\(Line = y= -4x+3 \\ \\point= (8,1)\)

The formula for the standard Equation of a line:

\(\to y= mx +c\)

compare the above line value:

\(m= -4\\\\c= 3\)

When a line is perpendicular so, the m value is: \(= \frac{1}{4}\)

\(\to m_1 \times \m_2 = -1\\\\\to -4 \times m_2= -1\\\\\to m_2 = \frac{-1}{-4}\\\\\to m_2= \frac{1}{4}\)

Line equation when one point and m is given:

\(\to (y-y_1) = m (x- x_1)\\\\\to (y-1) = \frac{1}{4}(x- 8)\\\\\to 4y-4 = x- 8\\\\\to 4y = x-8+4\\\\\to 4y = x-4\\\\\to y = \frac{1}{4}(x-4)\\\)

Answer:

C.0.75

Step-by-step explanation:

the number of occurrence is 15 and the number of simulations is 20 so

P= 15/20

.75

The expression that can be used to find the perimeter of a rectangle is P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width. In this case, the perimeter of the rectangle is 16x - 4.

In this question, it is given that Zohar is using scissors to cut a rectangle with a length of 5x - 2 and a width of 3x + 1 out of a larger piece of paper. To find the perimeter of the rectangle, we can use the formula P = 2(l + w), where P represents the perimeter, l represents the length, and w represents the width.

Substituting the given values in the formula, we get

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

Simplifying the expression, we get

P = 2(8x - 1)P = 16x - 2

Therefore, the perimeter of the rectangle is 16x - 4.

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