shaquana has a deck that measures 18 feet by 15 feet. She wants to increase each dimension by equal lengths so that its area triples. How much should each dimension increase?

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

552 miles per hour

Step-by-step explanation:

Speed = distance / time

So, speed = 414 / (3/4)

                 = 552 miles per hour

P.S. I couldn't answer the other questions cuz your photo is unclear

Answer:

552 miles per hour

Step-by-step explanation:

Speed = distance / time

So, speed = 414 / (3/4)

                = 552 miles per hour

To convert rad/s to ft/s, we need to multiply the conversion factors for radians to degrees and feet to meters to obtain the conversion factor. Then, we multiply the given value in rad/s by the conversion factor to get the value in ft/s.

Step 1: Calculate the conversion factor pi/180. This factor is used to convert radians to degrees. pi/180 is approximately equal to 0.0174533.

Step 2: Calculate the conversion factor for feet to meters. This factor is 1/0.3048, which is approximately equal to 3.28084.

Step 3: Multiply the result from step 1 with the result from step 2. This product gives the conversion factor for radians per second to feet per second.

For example, if we obtain a result of 0.0572776 from this multiplication, it means that one radian per second is equivalent to 0.0572776 feet per second.

Step 4: Multiply the given value in rad/s with the conversion factor obtained in step 3. This multiplication gives the value in feet per second. For example, if the given value is 10 rad/s, we can obtain the equivalent value in feet per second by multiplying 10 with 0.0572776, which gives a result of approximately 0.572776 ft/s.

Hence, to convert a value in rad/s to ft/s, we need to calculate the conversion factor by multiplying the conversion factors for radians to degrees and feet to meters, and then multiply the given value by the obtained conversion factor.

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Answer:

(A)

Step-by-step explanation:

Use the method: swap x for y and solve for y:

The last expression is the inverse function and matches the answer (A).

pls mark me brainlist

The inverse function is given by:

\(f^{-1}(x) = \frac{3(x - 5)}{5}\)

Option A.

----------------

The function is:

\(f(x) = y = \frac{5x}{3} + 5\)

To find the inverse, we exchange x and y, and isolate y. Thus:

\(x = \frac{5y}{3} + 5\)

\(\frac{5y}{3} = x - 5\)

\(5y = 3(x - 5)\)

\(y = \frac{3(x - 5)}{5}\)

\(f^{-1}(x) = \frac{3(x - 5)}{5}\)

Option A.

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a. To derive the bias of p(hat)2, we need to calculate the expected value (mean) of p(hat)2 and subtract the true value of p.

Bias(p(hat)2) = E(p(hat)2) - p

Now, p(hat)2 = (Y+1)/(n+2), and Y has a binomial distribution with parameters n and p. Therefore, the expected value of Y is E(Y) = np.

E(p(hat)2) = E((Y+1)/(n+2))

          = (E(Y) + 1)/(n+2)

          = (np + 1)/(n+2)

The bias of p(hat)2 is given by:

Bias(p(hat)2) = (np + 1)/(n+2) - p

b. To derive the mean squared error (MSE) for both p(hat)1 and p(hat)2, we need to calculate the variance and bias components.

For p(hat)1:

Bias(p(hat)1) = E(p(hat)1) - p = E(Y/n) - p = (1/n)E(Y) - p = (1/n)(np) - p = p - p = 0

Variance(p(hat)1) = Var(Y/n) = (1/n^2)Var(Y) = (1/n^2)(np(1-p))

MSE(p(hat)1) = Variance(p(hat)1) + [Bias(p(hat)1)]^2 = (1/n^2)(np(1-p))

For p(hat)2:

Bias(p(hat)2) = (np + 1)/(n+2) - p (as derived in part a)

Variance(p(hat)2) = Var((Y+1)/(n+2)) = Var(Y/(n+2)) = (1/(n+2)^2)Var(Y) = (1/(n+2)^2)(np(1-p))

MSE(p(hat)2) = Variance(p(hat)2) + [Bias(p(hat)2)]^2 = (1/(n+2)^2)(np(1-p)) + [(np + 1)/(n+2) - p]^2

c. To find the values of p where MSE(p(hat)1) < MSE(p(hat)2), we can compare the expressions for the mean squared errors derived in part b.

(1/n^2)(np(1-p)) < (1/(n+2)^2)(np(1-p)) + [(np + 1)/(n+2) - p]^2

Simplifying this inequality requires a specific value for n. Without the value of n, we cannot determine the exact values of p where MSE(p(hat)1) < MSE(p(hat)2). However, we can observe that the inequality will hold true for certain values of p, n, and the difference between n and n+2.

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In the given scenario, we have two estimators for the parameter p of a binomial distribution: p(hat)1 = Y/n and p(hat)2 = (Y+1)/(n+2). The objective is to analyze the bias and mean squared error (MSE) of these estimators.

The bias of p(hat)2 is derived as (n+1)/(n(n+2)), while the MSE of p(hat)1 is p(1-p)/n, and the MSE of p(hat)2 is (n+1)(n+3)p(1-p)/(n+2)^2. For values of p where MSE(p(hat)1) is less than MSE(p(hat)2), we need to compare the expressions of these MSEs.

(a) To derive the bias of p(hat)2, we compute the expected value of p(hat)2 and subtract the true value of p. Taking the expectation:

E(p(hat)2) = E[(Y+1)/(n+2)]

          = (1/(n+2)) * E(Y+1)

          = (1/(n+2)) * (E(Y) + 1)

          = (1/(n+2)) * (np + 1)

          = (np + 1)/(n+2)

Subtracting p, the true value of p, we find the bias:

Bias(p(hat)2) = E(p(hat)2) - p

             = (np + 1)/(n+2) - p

             = (np + 1 - p(n+2))/(n+2)

             = (n+1)/(n(n+2))

(b) To derive the MSE of p(hat)1, we use the definition of MSE:

MSE(p(hat)1) = Var(p(hat)1) + [Bias(p(hat)1)]^2

Given that p(hat)1 = Y/n, its variance is:

Var(p(hat)1) = Var(Y/n)

            = (1/n^2) * Var(Y)

            = (1/n^2) * np(1-p)

            = p(1-p)/n

Substituting the bias derived earlier:

MSE(p(hat)1) = p(1-p)/n + [0]^2

            = p(1-p)/n

To derive the MSE of p(hat)2, we follow the same process. The variance of p(hat)2 is:

Var(p(hat)2) = Var((Y+1)/(n+2))

            = (1/(n+2)^2) * Var(Y)

            = (1/(n+2)^2) * np(1-p)

            = (np(1-p))/(n+2)^2

Adding the squared bias:

MSE(p(hat)2) = (np(1-p))/(n+2)^2 + [(n+1)/(n(n+2))]^2

            = (n+1)(n+3)p(1-p)/(n+2)^2

(c) To compare the MSEs, we need to determine when MSE(p(hat)1) < MSE(p(hat)2). Comparing the expressions:

p(1-p)/n < (n+1)(n+3)p(1-p)/(n+2)^2

Simplifying:

(n+2)^2 < n(n+1)(n+3)

Expanding:

n^2 + 4n + 4 < n^3 + 4n^2 + 3n^2

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The sum of given two expressions when added 15a⁵b² and 4a⁵b² is equal to 19a⁵b²

To add the two terms 15a⁵b² and 4a⁵b², we simply add their coefficients (the numbers in front of the variables) since they have the same variables and exponents. In this case, the coefficients are 15 and 4:

15a⁵b² + 4a⁵b² = (15 + 4)a⁵b²

Simplifying the coefficients, we get:

15a⁵b² + 4a⁵b² = 19a⁵b²

In summary, to add terms with the same variables and exponents, we simply add their coefficients and keep the variables and exponents the same. In this case, the sum of 15a⁵b² and 4a⁵b² is 19a⁵b².

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Complete question is:

What is 15a⁵b² + 4a⁵b²=

The difference between the given values of |-10| and 19 is - 9

What is an algebraic expression ?

Algebraic expression can be defined as the combination of variables , constants and exponents .

Algebraic expressions are the idea of expressing numbers the use of letters or alphabets with out specifying their actual values. The fundamentals of algebra taught us the way to explicit an unknown value the use of letters such as x, y, z, and so on. these letters are called here as variables. An algebraic expression may be a aggregate of both variables and constants. Any cost this is placed before and extended by way of a variable is a coefficient.

Given values ,

|-10| and 19

the difference ,

|-10| - 19 = 10-19

= -9

Hence, The difference between the given values of |-10| and 19 is - 9

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Answer:

The correct option is;

Angle B is congruent to angle E

Step-by-step explanation:

The given parameters are;

Triangle ΔABC, is dilated into triangle ΔDEF

Therefore, ∠A, ∠B, and ∠C of triangle ΔABC corresponds with ∠D, ∠E, and ∠F, of triangle ΔDEF

Given that ∠A is congruent to ∠D, the other information required to prove that the two triangles are similar includes;

1) ∠B is congruent to ∠E which are corresponding angles

2) ∠C is congruent to ∠F which are also corresponding angles

Therefore, the correct option is angle B is congruent to angle E

Some questions can be answered using a table or dot  but not a histogram, because a plot table and dot plot show individual data points, whereas a histogram groups data into intervals, losing specific information.


1. Tables and dot plots display each data point individually, allowing you to analyze and identify specific values, as well as any patterns or trends present in the data. This makes it easier to answer questions related to individual observations or precise values.
2. Histograms, on the other hand, group data into bins or intervals. While histograms are useful for understanding the overall distribution and shape of a dataset, they do not provide specific data points. As a result, certain questions that require exact data point information cannot be answered using a histogram alone.

The key difference between tables/dot plots and histograms is the level of detail provided. Tables and dot plots allow for precise analysis of individual data points, while histograms focus on overall data distribution. Consequently, questions requiring specific data point information can be answered using a table or dot plot, but not a histogram.

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Possible combinations that can be formed a committee of 5 male and 2 female with at least 3 men that must be at the committee from 13 members is 28000.

What is combination?

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements.

C (n, r) = n! (r! n-r!)

According to the given question:

8 males, 3 at a time = Comb (8,3) = 56

5 females, 2 at a time = Comb (5,2) = 10

So, the base combination of 5 males & 2 females from 8 possible males and 5 possible females = 56 x 10 = 560.

However, the total combinations are further expanded by the condition that 3, 4 or 5 of the 5 male members must be present

This expansion factor is the Comb (5,3) x Comb (5,4).

So, Comb (5,3) x Comb (5,4) = 10 x 5 = 50

Therefore, the combined total are 560 x 50 = 28,000 possible combinations of 5 of 8 possible males & 3 females of 5 possible females with 3, 4 or 5 of the males being present.

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2.50 is the coupon amount and 0.08 is the cost for one copy from the equation y = 0.08x - 2.50.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

y = 0.08x - 2.50

Where x is the number of copies and y is the cost of printing x copies.

Now,

From the equation,

y = 0.08x - 2.50

2.50 is the coupon amount.

0.08 is the cost for one copy.

Thus,

2.50 is the coupon amount.

0.08 is the cost for one copy.

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Answer:

Where’s the problem

Step-by-step explanation:

Answer: experiment

Step-by-step explanation:

A course of perception that has an unsure result is alluded to as an experiment.

The study of mathematical objects by computing in order to discover their properties and patterns is known as experimental mathematics. It has been described as "that mathematical theory that concerns itself ultimately with both the convention and transmission of insights within the mathematical neighborhood through the use of experimental investigation of conjectures and also more irregular beliefs and just a careful analysis of the information acquired in this endeavor (in either the Galilean, Baconian, Aristotelian or Kantian sense).

The nineteenth century saw the reemergence of experimental mathematical concepts as a distinct field of study as the range of calculations that could be performed was greatly expanded by the development of the electronic computer, which could perform calculations at speeds and with levels of precision that were unimaginable to earlier generations of mathematicians.

A course of perception that has an unsure result is alluded to as an experiment.

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A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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Answer:

17/100*85= $14.45

Step-by-step explanation:

Divide by 100 and multiply by (100-15) 85 to get the result.

Answer: B)subtract 5

(x-5)^2-25

Step-by-step explanation:

2a=-10

Divide both sides by 2

2a/2=-10/2

Simplify

a=-5

Add and subtract

x^2-10x+(-5)^2-(-5)^2

Complete the square

(x-5)^2-(-5)^2

Simplify;

(x-5)^2-25

Answered by one other than the ONE & Only #QUEEN herself aka #DRIPPQUEENMO!!

HOPE THIS HELPED!!

Answer:

-30

Step-by-step explanation:

Your welcome.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.

The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number

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The angle that will be formed by the cable based on the information given will be 15°.

From the complete information, it's important to divide the total angle by 12. This will be:

= 360°/12 = 30°

Then, the relations that will be used will be:

= 1/2(60° - 30°)

= 1/2 × 30°

= 15°

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Answer:

(1, 3) a solution to the system of equations

8x + y = 11

12x + 2y = 18

Step-by-step explanation:

ay están todos los deberes de la semana pasada gunnorni

Answer:

x=1 and y=3

Step-by-step explanation:

yes x=1 and y=3 is the solution for the equation.just by making y in the first equation subject of the formula and replacing in the second equation.

The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Step-by-step explanation:

A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

The equation of the line is -1/3x + 4

Step-by-step explanation:

You would do rise over run or use the slope formula

y2-y1/x2-x1=

2-4/6-0 = -2/6 = -1/3

The y-intercept is when the line hits the y-axis so it would be (0,4) or 4

Answer:

47 girls

Step-by-step explanation:

63÷4=15.75

15.75×3=47.25

Answer:

186.67 ft³

Step-by-step explanation:

Volume of a pyramid

= \(\frac{1}{3} \) × base area × height

The volume of the pyramid

\( = \frac{1}{3} \times (8 \times 10) \times 7\)

\( = \frac{1}{3} \times 80 \times 7\)

\( = 186.666...\)

= 186.67 ft³ (rounded to the nearest hundredth)

Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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The probability of getting exactly 6 successes in 8 trials with a probability of success of 0.27 on each trial is approximately 0.0038, accurate to 4 decimal places.

Using the binomial probability formula, we have:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where n = 8 is the number of trials, p = 0.27 is the probability of success on a single trial, k = 6 is the number of successes we are interested in, and (n choose k) = n! / (k! * (n - k)!) is the binomial coefficient.

Plugging in these values, we get:

P(X = 6) = (8 choose 6) * 0.27^6 * (1 - 0.27)^(8 - 6)

= 28 * 0.0002643525 * 0.5143820589

= 0.0038135

Therefore, the probability of getting exactly 6 successes in 8 trials with a probability of success of 0.27 on each trial is approximately 0.0038, accurate to 4 decimal places.

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