Which angle must be congruent to XYW?
A WXY
B XWY
C WVZ
D YZV

Answer:

5 hours, y= how much money it will cost, and x represents how many hours

Step-by-step explanation:

y= 15x+45

120= 15x+45

-45 -45

75= 15x

75/15×= 5 hours

Answer:

23

Step-by-step explanation:

height of building plus x

Answer:

\((f+g)(9) = -1\)

Step-by-step explanation:

First, undo the given shorthand:

\((f+g)(x) = f(x) + g(x)\)

Then, solve for \(f(x)\) and \(g(x)\) individually, and at the end, add the results together.

We can start with \(f(x)\):

\(f(x) = \sqrt{x}\)

\(f(9) = \sqrt9\)

\(f(9) = 3\)

Now, we'll move on to \(g(x)\):

\(g(x) = x - 13\)

\(g(9) = 9 - 13\)

\(g(9) = -4\)

Finally, we can add our solved results for \(f(9)\) and \(g(9)\):

\(f(9) + g(9) = 3 - 4 = -1\)

Hence,

\((f+g)(9) = -1\)

To make the augmented matrix correspond to a consistent system, we need to ensure that the third row is a linear combination of the first two rows. Let's denote the entries in the third row as a, b, and c, respectively. Then, the equation involving g, h, and k that makes the matrix consistent is:

-4g + 3h + 5k = a

7g - 5h - 9k = b

In a consistent system, all rows of the augmented matrix must be linearly dependent. This means that the third row should be a linear combination of the first two rows. By equating the corresponding entries in the third row to variables, we can find an equation involving g, h, and k that satisfies this condition.

In the given augmented matrix, the third row is represented by the variables g, h, and k. We denote the entries in the third row as a, b, and c, respectively. To create a consistent system, we need to find a relationship between these variables and the entries in the first two rows.

By comparing the entries in the first and second columns, we can set up the following equations:

-4g + 3h + 5k = a (equation 1)

7g - 5h - 9k = b (equation 2)

These equations ensure that the augmented matrix corresponds to a consistent system. If we substitute the values of g, h, and k into equations 1 and 2, the resulting values in the third row will satisfy the entries a and b, respectively.

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The equation would be: 64 - (1 * (number of small cubes he has)) = number of small cubes Jason needs.

To find out how many more small cubes Jason needs to build a 4 by 4 by 4 cube, we can calculate the difference between the volume of the larger cube and the total volume of the smaller cubes he already has.

The volume of a cube is calculated by multiplying its length, width, and height.
The volume of the 4 by 4 by 4 cube is 4 * 4 * 4 = 64 cubic units.

Since each small cube has a volume of 1 cubic unit, we can calculate the total volume of the smaller cubes Jason already has.
The total volume of the smaller cubes he already has is 1 * (number of small cubes he has).

To find the number of small cubes Jason needs, we need to subtract the total volume of the smaller cubes he already has from the volume of the larger cube.

So, the equation would be: 64 - (1 * (number of small cubes he has)) = number of small cubes Jason needs.

Since the number of small cubes Jason has is not provided in the question, we cannot calculate the exact number of small cubes he needs.

In conclusion, the number of additional small cubes Jason needs depends on the number of small cubes he already has.

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The net force acting on a 14kg wagon that produces an acceleration of 1.5 m/s2 is 21N.

Force is an external agent that is capable of changing the state of rest or motion of a body. It has a magnitude and a direction. The direction towards which the force is applied is known as the direction of the force, and the application of force is the point where force is applied.

It is simply known as a push or a pull.

The Force can be measured using a spring balance. The SI unit of force is Newton(N).

Force = mass x acceleration

Force = m x a

where mass = 14kg

acceleration = 1.5m/s2

Force = 14 x 1.5

Force = 21N

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The power of substitutes is one of the five forces in Porter's Five Forces framework and it is a measure of how easy it is for customers to switch to alternative products or services. The higher the power of substitutes, the more competitive the industry and the lower the profitability.

The power of substitutes is based on the premise that when there are readily available alternatives to a product or service, customers can easily switch to those alternatives if they offer better value or meet their needs more effectively. This poses a threat to the industry as it reduces customer loyalty and puts pressure on pricing and differentiation strategies.

The availability and quality of substitutes influence the degree to which customers are likely to switch. If substitutes are abundant and offer comparable or superior features, the power of substitutes is strong, increasing the competitive intensity within the industry. On the other hand, if substitutes are limited or inferior, the power of substitutes is weak, providing more stability and protection to the industry.

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Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

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Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

To test whether 20 recent high school graduates express an above-chance pattern of preferences when asked to rank order, from most favorite to least favorite, their four years of secondary education (FR, SO, JR, SR), One Way Repeated Measures ANOVA should be used.

This test helps to compare means of two or more related groups or sets of scores. It is applied to find out whether there is any statistically significant difference between the means of two or more groups of subjects who are related to one another in some way. The null hypothesis in One Way Repeated Measures ANOVA is that there is no significant difference in the means of groups or the sets of scores.

If the null hypothesis is accepted, it means that the researcher cannot conclude whether there is any real difference between the means of the groups. If the null hypothesis is rejected, then there is sufficient evidence that there is a significant difference between the means of the groups. This conclusion can only be made after conducting the test. As it is a repeated measure ANOVA, each participant should be measured at different points in time.

The independent variable is the time of the measurement, and the dependent variable is the preference ranking given by the students.

Therefore, One Way Repeated Measures ANOVA is an appropriate statistical test for this scenario.In conclusion, One Way Repeated Measures ANOVA is a better choice for this case study since it measures the difference between means of related sets of scores and it is a repeated measure ANOVA.

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Answer:

Cats = 34

Dogs = 37

birds = 25

Step-by-step explanation:

Let :

c = cats

d = dogs

b = birds

from the question, the following equation can be gotten

d = 3 + c  eqn 1

b = c - 9   eqn 2

c + d + b = 96 eqn 3

substitute for b and d in equation 3

3 + c + c - 9 + c = 96

3c - 6 = 96

3c = 102

c = 34

Substitute for d in eqn 1

d = 3 + 34 = 37

Substitute for b in eqn 2

34 - 9 = 25

Answer:

Ratios are proportional if they represent the same relationship. Take the ratio and simplify it into a fraction, then take two values equal to the fraction.

\(\frac{1}{2} = \frac{2}{4} = \frac{3}{6}\)

1:2 = 2:4 = 3:6

Answer:

MAD - mean absolute deviation is indication of the distance of data points from the mean.

Data set B shows the greater variability since has greater MAD.

It means the B data set is more spread compared to A data set.

The answer is the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x). The upper bound theorem does not specify any upper bound for the real zeros of (x)

The Lower bound theorem states that "If the terms of a polynomial are arranged in descending order of their degrees, then the absolute value of the quotient of the constant term and the coefficient of the term of the highest degree gives a lower bound for the absolute value of its zeros." Let's examine whether the lower bound theorem identifies -2 as a lower bound for the real zeros of f(x) and whether 3 is an upper bound for the real zeros of (x).

As f(x) = 56 = x + 17x² + 11x + 23Since f(x) is not arranged in descending order of their degrees, we have to rearrange it as follows. 17x² + 11x + x + 23 + 56 = 17x² + 12x + 79 on rearranging the equation we have: 17x² + 12x + 79 = 0Hence the constant term is 79 and the coefficient of the term of the highest degree is 17. Thus, using the lower bound theorem, we can evaluate that a lower bound for the absolute value of the zeros of the polynomial is 79/17 ≈ 4.65 Since -2 is less than the calculated lower bound of 4.65, it is indeed a lower bound for the real zeros of f(x). Now, for (x), the constant term is 0, and the coefficient of the term of the highest degree is 1. Thus, using the upper bound theorem, we can evaluate that an upper bound for the absolute value of the zeros of the polynomial is 1/0, which is equal to infinity. Since infinity is not a number, 3 cannot be an upper bound for the real zeros of (x).

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The correct answer is A

The correct option is a ) Nonstatistical audit sampling is commonly used in practice.

The following statement is true regarding audit sampling:

a. Nonstatistical audit sampling is commonly used in practice.

What is audit sampling?

Audit sampling is the act of analyzing less than 100% of the total things within a business to determine the accuracy of a company's books, financial reports, or operational procedures.

The financial auditor will use audit sampling to decide whether or not the internal controls in place are functioning efficiently.

There are two types of audit sampling: statistical and nonstatistical. Nonstatistical sampling, as the name implies, does not include any statistical calculations.

The various statements regarding audit sampling are listed below

a. Nonstatistical audit sampling is commonly used in practice - True

b. When using nonstatistical sampling, the sample does not need to be representative of the population - False

c. When using nonstatistical sampling, sampling risk does not need to be considered - False

d. When using statistical sampling, the sample can be selected haphazardly - False

Therefore, the correct option is a. Nonstatistical audit sampling is commonly used in practice.

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The limit lim x → n − ⌊ x ⌋ is equal to n because the floor function ⌊ x ⌋ approaches n from values less than n as x approaches n from the left.

To evaluate the limit lim x → n − ⌊ x ⌋, we need to understand the concept of the floor function ⌊ x ⌋. The floor function returns the largest integer that is less than or equal to x. For example, ⌊3.7⌋ = 3 and ⌊-2.5⌋ = -3.

When we take the limit as x approaches n from the left (denoted by the minus sign in x → n − ⌊ x ⌋), we are essentially asking what happens to the function as x gets closer and closer to n from values less than n. Since n is an integer, the floor function ⌊ x ⌋ will always be equal to n when x is between n and n+1. Therefore, as x approaches n from the left, ⌊ x ⌋ will approach n.

So the limit lim x → n − ⌊ x ⌋ is equal to n. This makes sense intuitively, as we are essentially taking the integer part of a number that is very close to n from values less than n, so it would make sense for the integer part to be equal to n itself.

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Answer:

Samuel : x

wife : y

sum of their age : 2+ x : 10

The answer is (a) 0.8494, to find the probability that the battery fails before the one year warranty expires,

we need to calculate the integral of the given pdf from 0 to 1, as X represents the length of the battery life in years.

So, P(X<1) = ∫(0 to 1) f(x) dx = ∫(0 to 1) (16/49) e^(-8x^2/49) dx ≈ 0.8494

Therefore, the answer is (a) 0.8494.

The given pdf describes the distribution of the length of the battery life, and we are interested in finding the probability that the battery fails before the one year warranty expires.

This can be found by integrating the pdf from 0 to 1, as the warranty lasts for one year.

Using the formula for the probability density function, we calculate the integral of the given pdf from 0 to 1, and get the answer as 0.8494.

This means that the probability of the battery failing before the one year warranty expires is about 84.94%.

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Answer:

-2.05

Step-by-step explanation:

You can just simply type this into your search bar, and when you do that, you get -2.05.

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

the value of this is-217÷4 = -54.25

Answer:

natural resource department does not receive a 4 star rating

Step-by-step explanation:

The type I error is also known as the 'false positive'.

It means we means we reject or make an error while the condition or the result is actually true. In other words, we can say that we are rejecting the null hypothesis but the hypothesis is actually true in all populations.

A 'false negative' is considered a type II error.

in the context, the hypothesis is concentration of fluoride in water which should be less than 4%. This is true but the department does not a 4 star rating when the concentration is less than 4% on the water supply. So this is the type I error.

Answer:

Step-by-step explanation:

7.5 pounds divided by 14 days= 0.5357 pounds or 0.54

Answer:

684

Step-by-step explanation:

6-h-4+44

Answer:

the answer is -12-(-3)

Step-by-step explanation:

The expression equivalent to -18-(-9) is -12-(-3)

An expression in maths is a sentence with a minimum of two numbers or variables and at least one maths operation.

Given is an expression, -18-(-9), we are given to find the expression equivalent to it,

-18-(-9) = -18+9 = -9

1) -18+2 = -16 (not equivalent)

2) -12-(-3) = -12+3 = -9

Therefore, we see, the value of expressions -12-(-3) and -18-(-9) are equivalent,

Hence, the expression equivalent to -18-(-9) is -12-(-3)

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Step-by-step explanation:

x - 3y = 6

3y = x - 6

y = 1/3 x - 2.

Here m is 1/3 and b is -2.

Answer:

400

Step-by-step explanation:

100 + 300 = 400.

you can then use the quadratic formula on π^2 + 81.5π + 18735103736 = 0

and you have successfully achieved nothing :)

Answer:

Sam has 400 bucks in total.

given explanation:

Sam has:

100 + 300

400 bucks

Answer:

x= m/2 - b/6

(its a lot of work...)

Step-by-step explanation:

1. Subtract 2x from both sides

-2x=2x+b/3-2x

2. Simplify

-2x=b/3

3. Factor

x(m-2)=b/3

4. divide both sides by m-2; m≠2

x(m-2)/m-2=b/3/m-2 m≠2

5. Simplify again...

x=b/3(m-2); m≠2

If a particular bid results in a serious error in estimating job cost, the probability that the error was made by engineer 1 is 0.042. If a particular bid results in a serious error in estimating job cost, the probability that the error was made by engineer 2 is 0.059.

Let F denote the event of making a serious error. By the Bayes’ theorem, we know that the probability of event F, given that event E1 has occurred, is equal to the product of P (E1 | F) and P (F), divided by the sum of the products of the conditional probabilities and the marginal probabilities of all events which lead to the occurrence of F.

We know that P(F) + P (E1 | F') P(F')].

From the problem,

we have P (F | E1) = 0.1 and P (E1 | F') = 1 – P (E1|F) = 0.9.

Also (0.1) (0.3) + (0.03) (0.2) + (0.02) (0.5) = 0.032.

Hence P (F | E1) = (0.1) (0.3) / [(0.1) (0.3) + (0.9) (0.7) (0.02)] = 0.042.

(0.1) (0.3) + (0.03) (0.2) + (0.02) (0.5) = 0.032.

Hence P (F | E2) = (0.03) (0.2) / [(0.9) (0.7) (0.02) + (0.03) (0.2)] = 0.059.

Hence P (F | E3) = (0.02) (0.5) / [(0.9) (0.7) (0.02) + (0.03) (0.2) + (0.02) (0.5)] = 0.139.

Since P(F|E3) > P(F|E1) > P(F|E2), it follows that Engineer 3 is most likely responsible for making the serious error.

If a particular bid results in a serious error in estimating job cost, the probability that the error was made by engineer 1 is 0.042.

If a particular bid results in a serious error in estimating job cost, the probability that the error was made by engineer 2 is 0.059.

If a particular bid results in a serious error in estimating job cost, the probability that the error was made by engineer 3 is 0.139.

Based on the probabilities, parts a-c, Engineer 3 is most likely responsible for making the serious error.

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Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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