For the right triangles below, find the values of the side lengths B and C .
Round your answers to the nearest tenth.

Answer:

Step-by-step explanation:

you take away 1 from 2 and that leaves you with 1

Answer:

Let's say I have two apples. You want one too! I give you one, and how many do I have left? 1

What I am explaining here is that if you take one away from two, it becomes one.

Six Sigma is a data-driven methodology for process improvement that aims to minimize defects and reduce variation in processes.

Six Sigma is a data-driven methodology for process improvement that aims to minimize defects and reduce variation in processes. It is a systematic approach to quality management that uses data and statistical analysis to identify and eliminate the root causes of defects and minimize errors in processes.

Six Sigma is based on the DMAIC (Define, Measure, Analyze, Improve, Control) methodology, which involves the following steps:

Define: Identify the problem and determine the goals of the project.

Measure: Gather data and establish a baseline for the process.

Analyze: Use statistical tools and techniques to understand the sources of variation in the process.

Improve: Develop and implement solutions to eliminate the sources of variation and reduce defects.

Control: Monitor and control the process to ensure sustained improvement.

Six Sigma uses a range of tools and techniques, including process maps, statistical analysis, and design of experiments, to achieve its goals. It is designed to be a highly disciplined approach to process improvement, and Six Sigma practitioners must be trained and certified to use the methodology effectively.

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Answer:

40h = e

Step-by-step explanation:

40 x 11 = 440

The amount of commission Yemi gets is, ₦51

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Yemi sold 100 books at ₦4.25 each,

So,

the total sales revenue is,

⇒ 100 x ₦4.25

⇒  ₦425

The publishing company gives a 12% commission on sales,

So, Yemi's commission would be,

⇒ 12/100 x ₦425

⇒  ₦51

Therefore, Yemi would get a commission of ₦51.

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Answer:

[tex]S_{18}=-792[/tex]

Step-by-step explanation:

The given arithmetic series is:

From inspection of the given series, the first term is 24.

The common difference is the difference between consecutive terms.

Therefore, the common difference of the given series is -8 as each term is 8 less than the previous term.

[tex]\boxed{\begin{minipage}{7.3 cm}\underline{Sum of the first $n$ terms of an arithmetic series}\\\\$S_n=\dfrac{1}{2}n[2a+(n-1)d]$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $d$ is the common difference.\\ \phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

To find the sum of the first 18 terms of the given series, substitute a = 24, d = -8 and n = 18 into the sum formula.

[tex]\implies S_{18}=\dfrac{1}{2}(18)\left[2(24)+(18-1)(-8)\right][/tex]

[tex]\implies S_{18}=9\left[48+(17)(-8)\right][/tex]

[tex]\implies S_{18}=9\left[48-136\right][/tex]

[tex]\implies S_{18}=9\left[-88\right][/tex]

[tex]\implies S_{18}=-792[/tex]

Therefore, the sum of the first 18 terms of the given arithmetic series is -792.

Answer:

4 events

Step-by-step explanation:

you divide 12.50 by 50 then you get 4

quick caveat, there's no slope-intercept form per se for a vertical line, Check the picture below.

A = [[-3, 10], [-3, 9], [-3, -10]], b = [-14, -7, 19] Ax = b's matrix equation has a solution in the form of T. x.

Only if the matrix equation Ax = b has a solution x is the vector [-14,-7,19] a linear combination of the vectors [-3,-3,-3] and [10,9,-10]. The vector [-14,-7,19] must be transposed for this to hold true, and A must be the matrix of coefficients of the linear combination of the two vectors. As a result, A is a 3x2 matrix and its formula is as follows: A = [[-3, 10], [-3, 9], [-3, -10]], and b = [-14, -7, 19]T. The vector [-14,-7,19] is a linear combination of the two vectors [-3,-3,-3] and [10,9,-10] if there is a solution x to the matrix equation Ax = b.

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A fully inflated professional basketball has a circumference of 78 centimetres, hence the football's radius is 12.42 cm.

A circle is created when almost every point there in plane that is a specific distance away from another point does so (center). As a conclusion, it is a curve made up of segments that are spaced from each other in the plane. It is rotationally homogeneous about the centre in anyway angles. All pair of points in the grid that make up a circle are evenly spaced away from the "centre" and create a closed, two-dimensional object. A specular parity line is generated by a line that passes through circle. It is rotationally symmetric about just the centre at all angles.

given

The football's circumference is 12.42 cm.

Football's circumference is 78 cm.

The formula for the football's circumference is C = 2pir

= 78 r

= 78/2pi r

= 12.42 cm.

A fully inflated professional basketball has a circumference of 78 centimetres, hence the football's radius is 12.42 cm.

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a) The value of the bulldozer at any time t should be given by the equation,

                                      V = 140500- 5600t

b) The value of the bulldozer after 7 years is  $1,01,300

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

a)To answer the problem above, we make the assumption first that the depreciation is a straight-line method in order to solve for the depreciation rate.

                                d = (140500 - 17300)/ 22 = 5600

The value of the bulldozer at any time t should be given by the equation,

                                      V = 140500- 5600t

b)  Substitute t=7 into the equation

                      V = 140500- 5600(7)

                         = 140500- 39200

                         = 1,01,300

The value of the bulldozer after 7 years is  $1,01,300

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The probabilities are obtained as -

a) P(X = 1) = 0.006377

b) P(X ≤ 2) = 0.0296075

c) P(X = 4) = 0.091137

d) P(X = 8) = 0.130251

What is Poisson Distribution?

The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.

The mean of the Poisson distribution is given by λ.

The cumative distribution function is -

P(X = π) = (e^(-λ)λ^π) / π!, where π = 0,1,2,...

a) So, putting π = 1, λ = 7 in the above formula -

P(X = 1) = (e^(-7)7^1) / 1!

P(X = 1) = (0.000911 × 7) / 1

P(X = 1) = 0.006377

Therefore, the value is P(X = 1) = 0.006377.

b) P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X ≤ 2) = (e^(-7)7^0) / 0! + (e^(-7)7^1) / 1! + (e^(-7)7^2) / 2!

P(X ≤ 2) = 0.000911 + 0.006377 + 0.022319

P(X ≤ 2) = 0.0296075

Therefore, the value is P(X ≤ 2) = 0.0296075.

c) So, putting π = 4, λ = 7 in the above formula -

P(X = 4) = (e^(-7)7^4) / 4!

P(X = 4) = (0.000911 × 2401) / 24

P(X = 4) = 0.091137

Therefore, the value is P(X = 4) = 0.091137.

c) So, putting π = 8, λ = 7 in the above formula -

P(X = 8) = (e^(-7)7^8) / 8!

P(X = 8) = (0.000911 × 5764801) / 24

P(X = 8) = 0.130251

Therefore, the value is P(X = 8) = 0.130251.

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Answer: The answer is D

The elements in C U (B' ∩ A') is {5, 6, 7, 8,  9}.

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

U = {1, 2, 3, 4, 5, 6, 7, 8, 9}

A = {1, 2, 5, 6}

B = {2, 3, 4, 6, 7}

C = {5, 6, 7, 8}

Now,

A' = U - A = {3, 4, 7, 8, 9}

B' = U - B = {1, 5, 8, 9}

C' = U - C = {1, 2, 3, 4, 9}

Now,

(B' ∩ A')

= {1, 5, 8, 9} ∩  {3, 4, 7, 8, 9}

= {8, 9}

And,

C U (B' ∩ A')

= {5, 6, 7, 8} U {8, 9}

= {5, 6, 7, 8, 9}

Thus,

C U (B' ∩ A') = {5, 6, 7, 8,  9}

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The complete question:

Sets A, B, and C are subsets of the universal set U.

These sets are defined as follows.

U = 1, 2, 3, 4, 5, 6, 7, 8, 9

A = 1, 2, 5, 6

B = 2, 3, 4, 6, 7

C = 5, 6, 7, 8

Find C U (B' ∩ A').

I believe its 44,880

Answer:

$26.50

Step-by-step explanation:

Helicopter is $20.

The battery is 25% of 20.

25% of 20

= .25 • 20

= 5

The battery will be $5.

The total purchase will be 20 + 5, that is,

$25

Calculating the tax:

6% of $25

= .06 • 25

= 1.5

Add the tax onto the total.



$25 + $1.50

= 26.50

The helicopter, battery and tax all adds up to $26.50

The smallest integer value for IK is (c) 14

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

The parallelogram

The value of IK can be calculated as

IK^2 = 5^2 + 12^2 - 5 * 12cos(J)

IK^2 = 169 - 60cos(J)

If J is obtuse, then cos(J) is a negative value,

This means that IK^2 must be greater than 169 and therefore IK must be greater than 13.

The smallest integer value greater than 13 is 14,

So your answer is (c). IK = 14

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The relationship between pendulum length and period is nonlinear. As the period is dependent on the square root of the length.

To  anatomize this relationship, the scholars would need to gather data on pendulum length and period, also fit a regression model.However, the residuals from the model would be  erratically distributed around zero, If the relationship is direct.

If the relationship is nonlinear, the residuals would parade a pattern, indicating that a direct model is not the  swish fit. In this case, a nonlinear model  analogous as the square root of pendulum length would give a better fit for the data. The scholars  probably set up that the residuals from the direct model were not  erratically distributed, hence they didn't favor the direct model.

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a ) Work is needed to stretch the spring from 41 cm to 45 cm is 0.58J

b ) 1445 cm far beyond its natural length will a force of 30 N keep the spring stretched.

A spring has a spring constant k,

It takes force kx to extend the spring's length.

A spring stretched length x has energy kx²/2.

Work of 3J gave the spring energy k(53-36)²/2.

Therefore,

3 = k(53-36)²/2

k = 6/289 N/cm

Work is needed to stretch the spring from 41 cm to 45 cm

At 41 cm the spring has energy k(41-36)²/2.

At 45 cm the spring has energy k(45-36)²/2.

The extra energy is given by,

(6/289)(45-36)²/2 - (6/289)(41-36)²/2

= (6/289) * 81/2 - (6/289) * 25/2

= 243/289 - 75/289

= 168/289

= 0.58J

Work is needed to stretch the spring from 41 cm to 45 cm is 0.58J

The natural length will a force of 30 N keep the spring stretched,

30 = kx

x = 30/k

= 1445 cm

1445 cm far beyond its natural length will a force of 30 N keep the spring stretched.

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On solving the provided question, we can say that Probability(x>11) = 1 - P(x[tex]\leq 11[/tex])\ = 0.9645 and Probability(5<x<9) = P(x<9) - P(x<5) = 0.0101 and P(x<9) = 0.0106

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

Probability(x>11) = 1 - P(x[tex]\leq 11[/tex])\

= 0.9645

Probability(5<x<9) = P(x<9) - P(x<5)

= 0.0101

P(x<9) = 0.0106

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The missing amounts are a) $79,000, b) $22,000, c) $51,000, d) $15,000  and  e) $6,000.

We have,

The theory used in this question is the basic accounting equation which states that Assets = Liabilities + Equity.

This equation can be used to determine the missing amounts in the summaries of Greene's Goods and Solar Enterprises.

Step 1: Start with the beginning of year data for Greene's Goods. We know that the Total Assets = $110,000, Total Liabilities = $85,000 and that the Total Owner's Equity is missing. We can use the basic accounting equation to solve for Total Owner's Equity.

Assets = Liabilities + Equity

110,000 = 85,000 + Equity

Equity = 25,000

Step 2: Now look at the ending of year data for Solar Enterprises. We know that the Total Assets = $180,000, Total Liabilities = $50,000 and that the Total Owner's Equity is missing. We can use the basic accounting equation to solve for Total Owner's Equity.

Assets = Liabilities + Equity

180,000 = 50,000 + Equity

Equity = 130,000

Step 3: Lastly, look at the changes in owner's equity for each proprietorship. For Greene's Goods, we know that Additional Investment = $7,000 and Drawings = $37,000. We can use the basic accounting equation to solve for the missing amount.

Change in Equity = Additional Investment + Drawings

Change in Equity = 7000 + 37000

Change in Equity = $44,000

For Solar Enterprises, we know that Additional Investment

= $25,000 and Drawings = $15,000.

We can use the basic accounting equation to solve for the missing amount.

Change in Equity = Additional Investment + Drawings

Change in Equity = 25000 + 15000

Change in Equity = $40,000

Therefore, the missing amounts are:

a) $79,000

b) $22,000

c) $51,000

d) $15,000

e) $6,000

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The value of f(-7) from the graoh is 1/128

Exponential function typically refers to the positive-valued function of a real variable, although it can be extended to complex numbers or generalized to other mathematical objects like matrices.

From the given graph, we need to determine then value f(-7). The function f(-7), is the equivalent value on the y-axis if the value of x is -7.

The standard exponential equation is y = ab^x

Using the coordinate points (0, 1) and (-2, 4), the resulting equations are:

1 = ab^0

4 = ab^-2

From equation 1, a = 1

4 = b^-2

b^2 = 1/4

b = 1/2

The exponential function will be y = (1/2)^x

f(-7) = (1/2)^-7
f(-7) = 1/128

Hence the resulting value of f(-7) is 1/128

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Answer:

Step-by-step explanation:

Sorry I don’t know

Therefore , the solution of the given problem of function comes out to be the value of c for which f'(c) = 0 in the interval [-2, 2] is c = 0.

The study of numbers and their variable, as well as in out environment, architecture, and both real and imagined places, are all covered in the mathematics curriculum. A function range illustrates visually how the amounts of the inputs and the corresponding outputs for each are related. Simply stated, a function is a set of inputs that, when combined, produce specific outputs for each input. Each position is given a locale, region, or range.

Here,

Rolle's Theorem can be applied to $f(x) = x^2 - 3$ on the interval [-2, 2]. This is because f(x) satisfies the following conditions of Rolle's Theorem:

1 ) f(x) is continuous on the interval [-2, 2]

2 ) f(x) is differentiable on the interval (-2, 2)

3)  f(-2) = 1 and f(2) = 1

Since f(-2) = f(2), there must exist at least one point c in the interval (-2, 2) such that f'(c) = 0.

Taking the derivative of f(x) with respect to x, we get f'(x) = 2x. Setting f'(c) = 0, we have:

2c = 0

Solving for c, we get c = 0.

Therefore, the value of c for which f'(c) = 0 in the interval [-2, 2] is c = 0.

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Answer:

Step-by-step explanation:

uhhhhh 8 lol

Therefore , the solution of the given problem of test statistic comes out to be rounding to two decimal places, the z-score is -0.26.

The Z-statistic, which demonstrates that the ordinary ordinary neutral hypothesis is true, has been used as the statistic for anything resembling a Z-test. Let's say you run two separate X-y tests with a 0.05 level of significance, and the variable results show that you got a 2.5 R t. (also  Z-value). The p-value for this Z-value is 0.0124.

Here,

To find the z-scores corresponding to the oldest and youngest senators of age 86% and 41%, respectively, we can use the standard normal distribution formula:

z = (x - μ) / σ

where z is the z-score, x is the given value, μ is the mean, and σ is the standard deviation.

For the oldest senators of age 86%, we can find the corresponding z-score as follows:

z = (x - μ) / σ

z = (0.86 - 0.5) / 0.3413

z = 1.055

Rounding to two decimal places, the z-score is 1.06.

For the youngest senators of age 41%, we can find the corresponding z-score as follows:

z = (x - μ) / σ

z = (0.41 - 0.5) / 0.3413

z = -0.264

Rounding to two decimal places, the z-score is -0.26.

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Step-by-step explanation:

trfg gh fg gyfggr d vd f fvy e ht4gjgdgdhdggygggg

The following statements are either true or false;

Mutation can be defined as the altering or the change in the DNA sequence or arrangement of a cell.

variation can be defined as any difference between cells, organisms, or groups of organisms of any species caused by genetic differences or environmental factors.

Fossils refers to the remains of plants and animals whose bodies were buried in sand, mud, seas, lakes and rivers over a long period of time.

Therefore, the statement Fossils cannot be dated is false because fossils can be dated to upto 10,000 years ago.

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The probability in decimal form of getting a parking spot is, 0.2

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A parking lot is arranged with 9 parking spots in the first row, 15 parking spots in the second row, and 21 parking spots in the third row.

Hence, Total parkin spots = 9 + 15 + 21

                                        = 45

And, Number of spots in first row = 9

Thus, The probability in decimal form of getting a parking spot when a person is aiming to park in first row is,

⇒ 9 / 45

⇒ 1/5

⇒ 0.2

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The solutions to the system of equations are the values of x for which f(x) and g(x) have the same value according to the table.

When a system of equations is plotted on graph, the solutions are the intersection points of all the functions that compose the system.

At these intersections point, the functions have the same numeric value, which are the points looked at to find the solution on a table.

From the table given by the image presented at the end of the answer, the solutions are given as follows:

The problem is incomplete, hence the solution was given in general terms, with an example problem solved.

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Answer:

Here is the function table for the given equation:

x H(x)

1 2

2 1

3 0

4 -1

5 -2

Note: The table shows the result of the equation H(x) = -x + 3 for different values of x.

Step-by-step explanation: