Memo No
Date
Find the square root of 13²​

Answer:

Veronica:

d=5t

Chad:

d=4t

Step-by-step explanation

yes they do represent linear equations

Using the normal distribution, the probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

Normal distribution refers to a continuous probability distribution wherein values lie in a symmetrical fashion mostly centered around the mean. In a normal distribution, the probability is calculated using the z-score of a measure X. A Z-score refers to a numerical measurement that defines a value's relationship to the mean (of a group of values).

In order to determine the probability of the sample proportion, the z-score of a measure X is determined.

z-score = (X - µ)/σ where µ is the mean and σ is the standard deviation.

The standard deviation σ = √(p(1-p)/n

From the given data:

n = no of random sample = 145

p = probability of success (household spending more than $125) = 0.32

Hence,

σ = √((0.32(1-0.32)/145) = 0.0387

Calculating the z-score when X = 0.3

z-score = (0.3 – 0.32)/0.0387 = -0.516

From the table, the probability of z = -0.516

P(X<z) = 0.30293 or 30.29%

The probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

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Radius = 4

Diameter = 8

Area = 50.27

Circumference = 25.13

All answers in ft (feet).

Hope this helps. If you have any further questions please leave a comment down below. Good luck!

The value of  Q(x) =   x² - 1  

R(x) = 4

What is Long Division?

Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.

By long Division method:

                        x² - 1            

                     _______________________________

         (3x - 4) | 3x³ - 4x² - 3x

                       3x³ - 4x²

                       _________________

                            0 - 0   - 3x      

                                       - 3x + 4  

                                ___________________

                                          0  + 4

Q(x) =   x² - 1  

R(x) = 4

Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1  ) + 4

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In a curvilinear regression model, the squared term of the predictor variable represents the curvilinear effect.

In a curvilinear regression model, the relationship between the predictor variable and the response variable is not linear but exhibits a curvilinear pattern. To capture this non-linear relationship, the model includes a squared term of the predictor variable.

The squared term of the predictor variable allows the regression model to account for both the linear and curvilinear components of the relationship.

It introduces a curvilinear effect by capturing the curvature or non-linear pattern observed in the data. This squared term enables the model to better fit the data points that deviate from a simple linear relationship.

By including the squared term in the curvilinear regression model, the relationship between the predictor and response variables can be characterized by a more flexible curve, allowing for a better representation of the underlying relationship

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The p-value of the given hypothesis is; 0.9999

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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Answer:

C: after 5 seconds

The total area of the room and the sitting area is 286.93 ft².

We have,

The area of the rectangle.

= Length x Width

= 15 x 14

= 210 ft²

Semicircle.

r = 14/2 = 7 ft

= 1/2 x πr²

Area = 1/2 x 3.14 x 7²

= 1/2 x 3.14 x 49

= 76.93 ft²

Now,

The total area of the room and the sitting area.

= 210 + 76.93

= 286.93 ft²

Thus,

The total area of the room and the sitting area is 286.93 ft².

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Answer:

Where is the question?

If the value exceeds\($0.200$\) by the tolerance of \($0.020$\) on either side, a repair cost of \($\$150$\)is incurred.

\($L(x) = 150(x - T)$\) option b.

The Taguchi loss function measures the cost or loss associated with deviations from a target value in a quality characteristic.

In this case, the specification for the quality characteristic is \($0.200 \pm 0.020$\).

If the value exceeds \($0.200$\) by the tolerance of \($0.020$\)on either side, a repair cost of $\$150$ is incurred.

Based on this information, the Taguchi loss function for this example is given by:

b.\($L(x) = 150(x - T)$\)

In the given options, option b represents the correct Taguchi loss function. The loss function is a linear function where the loss increases linearly with the deviation from the target value.

The coefficient of \($150$\) represents the cost of repair per unit deviation.

This loss function is appropriate for the given scenario as it accurately captures the cost associated with deviations from the target value.

The Taguchi loss function provides a quantitative measure to assess the impact of variations in the quality characteristic and helps in making decisions regarding process improvement and optimization.

In this case, it allows for evaluating the cost implications of exceeding the specified tolerance and guides decision-making on whether repairs are necessary based on the associated costs.

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To find ze²da, we can use the following steps:

Factor out the constant e².Use the power rule to integrate x.

Add an arbitrary constant C.An arbitrary constant is a symbol that can be assigned any value without affecting the validity of an equation or expression.

Arbitrary constants are often used to represent unknown quantities, such as the area under a curve or the volume of a solid.

Factoring out the constant e², we have:

∫ ze²da = ∫ e² da

Using the power rule to integrate x, we have:

∫ e² da = e²x + C

Adding an arbitrary constant C, we have:

∫ ze²da = xe² + C

Therefore, the answer is xe² + C.

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Answer:

y is x because if x+y is 2x then y must equal x

The sum of x and y is twice x. Then the value of y will be equal to x.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that sum of x and y is twice x. Then the value of y will be calculated as below:-

x + y = 2x

y = 2x - x

y = x

Therefore, the sum of x and y is twice x. Then the value of y will be equal to x.

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Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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let width is x and length is y

x * y = area

=> 3/8 * y = 5/8

=> y = 5/8 ÷ 3/8

=> y = 5/8 * 8/3 = 5/3

the length of the rectangular parking lot is 5/8 mile.

Answer:

b. x = -2

Step-by-step explanation:

x - 8 = -10

x = -10 + 8

x = -2

Answer:

5. x=80°, y= 80°

Step-by-step explanation:

5.x=80 (Vertically opposite angle V.O.A)

y=80 (alternate angle)

Step-by-step explanation:

no, not anymore. unbelievable.

AC = AE + EC = 12 + 8 = 20

Answer:

$40

Step-by-step explanation:

which is approximately 3.864 times the length of QS.the circle is approximately 4 times the length of QS, or approximately 4 times 0.966 times the length of QS,

An angle is a measure of the amount of turn between two lines or rays that meet at a common point, known as the vertex of the angle. The angle is typically measured in degrees or radians. In a Euclidean plane, an angle can range from 0 degrees (corresponding to two lines that are parallel to each other) to 180 degrees (corresponding to two lines that form a straight line). An angle greater than 180 degrees is called a reflex angle. Angles are used in many areas of mathematics and physics, such as geometry, trigonometry, and calculus, as well as in real-world applications such as navigation, architecture, and engineering.

by the question.

The ratio of the central angle ZQTS to the whole circle is 1/12, or 0.0833 (rounded to four decimal places). This is because there are 360 degrees in a circle, and 75 is 1/12 of 360.

QS represents 1/4 of the circle's circumference. This is because the central angle ZQTS is 75 degrees, which is 1/3 of a right angle (90 degrees). An inscribed angle that intercepts the same arc as a 1/3 angle will have twice the measure of the 1/3 angle, or 150 degrees. Thus, angle QTS is 150 degrees. Angle QOS is also 150 degrees, since it intercepts the same arc as QTS. Therefore, angle QOT is 60 degrees, since the angles in triangle QOT add up to 180 degrees. Since triangle QOT is an equilateral triangle, QT and QS are equal in length, and angle QTS is 75 degrees, we can use the sine function to find the length of QS. The sine of 75 degrees is approximately 0.966, so QS represents approximately 0.966 times the circumference of the circle. Since QS represents 1/4 of the circumference, the circumference of the circle is approximately 4 times the length of QS, or approximately 4 times 0.966 times the length of QS,

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Answer:

3/4 6/8 12/16

Step-by-step explanation:

Cuz me brian knows stoof

In terms of percentages, 3/4 is equivalent to 75/100.

In order to determine equivalence, we should divide the numerator and denominators in such a way that the numbers would no longer be divisible.

So, for example, if we have the fraction, 75/100, the equivalence can be obtained by dividing both sides by 5 as follows

75/100 = 15/20 = 3/4

There are so many other numbers that are equivalent to 3/4. 6/8 is one such example.

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The formula for for Rn is given as Rn = Σ 18/n (1 - 12i/n + 36i²/n²).

We are given the function f(x) = 3x² on the interval [-1, 5] . This gives

Δx =6/n and xi= -1 + 6i/n.

Therefore,

Rn =  Σ f(xi) Δx

     = Σ 3 (-1 + 6i/n)² 6/n

     = Σ 18/n (1 - 12i/n + 36i²/n²)

The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.

Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.

The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.

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Answer:

0

Step-by-step explanation:

If they want the values of where the graphs intersect, that means the values are both = to each other, meaning subtracting the same value by the same value is 0

Fractions represent the parts of a whole or collection of objects. the equivalent  fractions to -(5/3) are -5/3, 5/-3.

Fractions represent the parts of a whole or collection of objects.

-(5/3) is a fraction, Actually it a improper fraction with negative sign.

The equivalent fractions are obtained by multiplying same sign or same number in numerator and denominator.

-(5/3)  is equivalent to -5/3

-(5/3)  is equivalent to 5/-3

-(5/3)  is not equivalent to 5/-3

-(5/3)  is not equivalent to -5/-3 because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

-(5/3)  is not equivalent to -(-5/3) because when negative and negative are multiplied the result will be positive but to be equivalent fraction it should be negative.

Therefore the equivalent fractions to -(5/3) are -5/3, 5/-3.

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Answer:

The surface area of the rectangular solid is 46 square meters

Step-by-step explanation:

The surface area of a rectangular solid with dimensions 5 m x 3 m x 1 m can be found by calculating the area of each of its six sides and summing them up.

The two sides with dimensions 5 m x 3 m (the top and bottom) each have an area of 5 m x 3 m = 15 square meters.

The two sides with dimensions 5 m x 1 m (the front and back) each have an area of 5 m x 1 m = 5 square meters.

The two sides with dimensions 3 m x 1 m (the left and right) each have an area of 3 m x 1 m = 3 square meters.

Adding all six sides together, we get:

15 + 15 + 5 + 5 + 3 + 3 = 46 square meters

The distance traveled by the robot of Jill in each of the seconds if the robot travels 8 meters in 3 seconds is 8 /3 meters or 2.67 meters.

It is the basic arithmetic operation, in which you are separating the number into some parts.

Given:

The distance traveled by the robot in 3 seconds is 8 meters,

So, to calculate the distance for each second, we have to divide the distance by 3 seconds,

3 seconds = 8 meters,

1 second = 8 / 3 meters,

Therefore, the distance traveled by the robot of Jill in each of the seconds is 8 / 3 meters or 2.67 meters.

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Answer:

i can not help you on this one sorry

Step-by-step explanation:

Answer:

5.4 cm

Step-by-step explanation:

Hope it helps you in your learning process

The solution is valid, and the piggy bank contains 11 quarters, 11 nickels, and 11 dimes.

Let's solve this problem step by step to determine the number of each type of coin in the piggy bank.

Let's assume the number of quarters, nickels, and dimes in the piggy bank is "x".

Quarters: The value of each quarter is $0.25. So, the total value of the quarters would be 0.25x.

Nickels: The value of each nickel is $0.05. So, the total value of the nickels would be 0.05x.

Dimes: The value of each dime is $0.10. So, the total value of the dimes would be 0.10x.

According to the problem, the total value of all the coins in the piggy bank is $4.40. Therefore, we can set up the equation:

0.25x + 0.05x + 0.10x = 4.40

Simplifying the equation:

0.40x = 4.40

Dividing both sides by 0.40:

x = 11

So, there are 11 quarters, 11 nickels, and 11 dimes in the piggy bank.

To verify this solution, let's calculate the total value of all the coins:

(11 quarters * $0.25) + (11 nickels * $0.05) + (11 dimes * $0.10) = $2.75 + $0.55 + $1.10 = $4.40

Therefore, the solution is valid, and the piggy bank contains 11 quarters, 11 nickels, and 11 dimes.

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