If you reflect FGH across the x-axis, what will be the coordinates of the vertices of the image F’G'H'?

The normal sampling distribution cannot be used, according to the given sample statistics and claim about the population proportion. The correct answer is option A, "No, because np is less than 5."

To determine whether the normal sampling distribution can be used to test the given claim about the population proportion, we need to check whether the conditions for a normal approximation are met. There are three conditions that need to be satisfied:

The sample size should be large enough (n ≥ 30). However, in this case, the sample size is only 25, which is not large enough.

The expected number of successes (np) and the expected number of failures (nq) should both be greater than or equal to 5. In this case, np = (25)(0.11) = 2.75 and nq = (25)(0.89) = 22.25, so np is less than 5.

The sample is independent and random. There is no information given in the question to suggest that this condition is not met.

Therefore, the correct answer is option A, "No, because np is less than 5." Since np is less than 5, we cannot use the normal sampling distribution to test the claim about the population proportion p at the given level of significance α = 0.05 using the given sample statistics p = 0.08 and n = 25. Instead, we would need to use the binomial distribution to calculate the probability of obtaining a sample proportion of 0.08 or less assuming the null hypothesis is true.

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Answer:

The incorrect statement is decreasing from (-∞, -1)

Step-by-step explanation:

Intercepts are where it touches the axis

The x intercepts are -2 and 1

Increasing is where it goes up

We are increasing from (-∞, -1) and (1,∞)

Decreasing is where it goes down

We are decreasing from ( -1,1)

The incorrect statement is decreasing from (-∞, -1)

Answer:

>

Step-by-step explanation:

28.45 >3+hgydnjsjsjjsjkso

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

=1/4/ 1/25

=1/4*25/1

=100

Simplify the second term

=(-3)^4

= -81

Hence, 100*81

=-8100

Answer:

all you do is add

Step-by-step explanation:

Let g be the integral function defined by g(x) = ∫x-1 (-1/2 * cos (t³ / 2t)) dt for x = 0, g is g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

To solve this integral, we need to use the substitution method. We will let u = t/2t, du = 3t/2 dt.

Thus, the integral becomes:

g(x) = -1/2 * ∫x-1 cos(u) du

Using integration by parts, we get:

g(x) = -1/2(x-1 * sin(u) + ∫x-1 sin(u) du).

After integrating the second part, we obtain the final result:

g(x) = -1/2(x-1 * sin(u) - x-1 * cos(u))./2t

we subtitute the value of u to get:

g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

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The probability that both jurors selected are female is 1/6. To calculate the probability that both jurors selected are female,.

We need to determine the number of favorable outcomes (two female jurors selected) divided by the total number of possible outcomes.

In this scenario, there are two female alternate jurors available out of a total of four alternates. Since we need to select two jurors, we can use combinations to calculate the number of possible outcomes.

The number of possible outcomes is given by selecting 2 jurors out of 4, which can be calculated as:

C(4, 2) = 4! / (2! * (4-2)!) = 6

Therefore, there are 6 possible outcomes.

Out of these possible outcomes, we are interested in the favorable outcome where both selected jurors are female. Since there are two female alternate jurors available, we can calculate the number of favorable outcomes by selecting 2 female jurors out of 2, which is:

C(2, 2) = 2! / (2! * (2-2)!) = 1

Therefore, there is 1 favorable outcome.

Now, we can calculate the probability:

Probability = Number of favorable outcomes / Number of possible outcomes

= 1 / 6

= 1/6

Thus, the probability that both jurors selected are female is 1/6.

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Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.

We simplify and solve the given expressions using the mentioned terms. Here are the step-by-step explanations for each expression:

1. logA: This expression represents the logarithm of a number A to a specified base. Without any base provided, it cannot be simplified further.

2. 1logAA: Since the coefficient of the logarithm is 1, this simplifies to logAA, which represents the logarithm of A to the base A. By definition, logAA = 1.

3. logA x Blog (a/b): This expression seems to have formatting issues, so I'll break it down into two separate expressions: - logA x B: This represents the logarithm of the product AB to a specified base. Using the logarithm product rule, it can be simplified to logA + logB. - log (a/b): This represents the logarithm of the quotient a/b to a specified base. Using the logarithm quotient rule, it can be simplified to loga - logb.

4. log A ^ B: This expression represents the logarithm of A raised to the power of B to a specified base. Using the logarithm power rule, it can be simplified to B * logA. 5. log 1/A: This expression represents the logarithm of the reciprocal of A (1/A) to a specified base.

Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.

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Answer:

8/4

Step-by-step explanation:

2/1

We want a denominator of 4 so multiply by 4/4

2/1 * 4/4 = 8/4

Answer:

102

Step-by-step explanation:

50×2+2

100+2

give brilliant answer

\(2+2 \times 5 \times 10 \\ =2+(10)(10) \\ =2+100 \\ =102 \\ \)

Answer:

Step-by-step explanation:

x+1=0

then f(x)=2

x=-1

vertex is (-1,2)

Answer:

-1,2

Step-by-step explanation:

Plato

Answer:

5

Step-by-step explanation:

you don't have to but i convert 7 1/2 and 1 1/2 into 7.5 and 1.5 to make it easier than you divide.

201 food calories (kcal) would be sufficient for a well-conditioned athlete to metabolize in doing the same work with an efficiency of 25%

Assuming input the 25% into equation and work

with the help of the equation, we know:

η = work_out / work_in

therefore we get, 0.25 = (2.10e5) / (kcal)

then, kcal = (2.10e5J)/(0.25)

kcal = 2.10e5 J / 0.25

upon dividing the following we get the answer,

kcal = 840e3J

now we need to convert the Joules to kcal and we get,

we know that, 1kcl = 4184J

therefore, 840e3 / 4184 = 201 kcal

hence we know that 201 food calories (kcal) would be sufficient for a well-conditioned athlete to metabolize in doing the same work with an efficiency of 25%

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Integrating the second term on the right-hand side gives (-\frac{x^3}{9} + C), where (C) is the constant of integration. Thus, the final answer is:

[\int x^{2}\ln x dx = \frac{1}{3}x^3\ln x - \frac{x^3}{9} + C]

To find the indefinite integral  (\int x^{2} \ln x dx), we can use integration by parts with (u = \ln x) and (dv = x^{2}dx), which gives us:

[\int x^{2}\ln x dx = \frac{1}{3}x^3\ln x - \int\frac{x^2}{3} dx]

Integrating the second term on the right-hand side gives (-\frac{x^3}{9} + C), where (C) is the constant of integration. Thus, the final answer is:

[\int x^{2}\ln x dx = \frac{1}{3}x^3\ln x - \frac{x^3}{9} + C]

The process used to find the indefinite integral (\int x^{2}\ln x dx) is known as integration by parts. This method involves selecting two functions, u and dv, such that their product can be written in a way that makes it easier to integrate. In this case, we choose u = ln x because its derivative is simple, and dv = x^2 dx because it is easy to integrate.

Using the formula for integration by parts, we obtain:

[\int x^2 \ln x dx = \int u dv = u v - \int v du,]

where (v) is the antiderivative of (dv), and (du) is the derivative of (u).

We compute the antiderivative of (v) as follows:

[v = \int x^{2} dx = \frac{x^{3}}{3}]

Next, we compute the derivative of (u) as follows:

[du = \frac{d}{dx}(\ln x) dx = \frac{1}{x} dx]

Substituting these values into the integration by parts formula yields:

[\int x^{2}\ln x dx = \frac{x^{3}}{3} \ln x - \int \frac{x^{3}}{3} \cdot \frac{1}{x} dx]

Simplifying the expression gives us:

[\int x^{2}\ln x dx = \frac{x^{3}}{3} \ln x - \frac{1}{3} \int x^{2} dx]

Integrating the second term on the right-hand side gives us:

[-\frac{x^{3}}{9} + C]

where (C) is the constant of integration. Therefore, the final answer is:

[\int x^{2}\ln x dx = \frac{1}{3}x^{3}\ln x - \frac{x^{3}}{9} + C]

This is the indefinite integral of (x^{2} \ln x) that we wanted to find.

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The first step in developing a competency-model is to gather background information and analyze the existing standards within the workplace.

The first-step involves conducting a thorough examination of the organization's goals, strategies, and the specific job roles or positions for which the competency-model will be developed.

By gathering background information, organizations can understand the context in which the competency-model will be applied.

Analyzing existing standards within the workplace involves assessing the current performance expectations, competencies, and criteria used for evaluating employees in their respective roles.

The purpose of this step is to identify any gaps or areas for improvement in the existing standards and to ensure that the development of the competency model aligns with the organization's overall objectives.

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The first step in developing a competency model is conducting a job analysis.

developing a competency model is a systematic process that helps organizations define the key competencies needed for their employees. The first step in this process is conducting a job analysis.

A job analysis involves gathering information about the job, such as its purpose, tasks, responsibilities, and required qualifications. This information can be collected through methods like interviews, observations, and surveys. By analyzing the job, organizations can identify the critical competencies that are necessary for effective job performance.

These competencies can then be used to guide various HR processes, including recruitment, selection, training, and performance management. By aligning the competencies with job requirements, organizations can ensure that they have the right people with the right skills in the right positions.

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Step-by-step explanation:

A o option

-(-45)

hope it helps

To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.

1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:

V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49

We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:

V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)

Here is a more detailed explanation of the substitution:

In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.

When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3

In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.

When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)

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Answer:

29°

Step-by-step explanation:

\(In\: \triangle CDE\\\\

m\angle C + m\angle D + m\angle E = 180\degree \\\\

48\degree + 74\degree + m\angle E = 180\degree \\\\

122\degree + m\angle E = 180\degree \\\\

m\angle E = 180\degree- 122\degree \\\\

\huge \red {m\angle E = 58\degree} \\\\

\because \triangle ABC \cong \triangle DEC... (given) \\\\

\therefore \angle B \cong \angle E.. (CACT) \\\\

\therefore m\angle B = m\angle E\\\\

\therefore 2x = 58\degree \\\\

\therefore x =\frac{58\degree}{2}\\\\

\huge \orange {\boxed {\therefore x = 29\degree}}

\)

Answer:

y=8

Step-by-step explanation:

Slope-intercept form

y=mx+b

Plug in values

y=0x+b

8=0(-4)+b

b=8

substitute

y=8

Michael swam about 18 more laps in the morning than he did in the evening.

The operation or process of finding the difference between two numbers or quantities is known as subtraction. To subtract a number from another number is also referred to as 'taking away one number from another'.

To find out how many more laps Michael swam in the morning than in the evening, we can subtract the number of laps he swam in the evening from the number of laps he swam in the morning.

Morning laps: 82 laps

Evening laps: 64 laps

To find the difference, we subtract:

82 laps - 64 laps = 18 laps

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Since the bond is a discount bond, it's only payment is the repayment of the par value at maturity, i.e., in one year.Yield to maturity = 25%

Yield to maturity (YTM) is the total rate of return a bond will have achieved after all interest payments and principal repayments have been made.

In essence, YTM represents the internal rate of return (IRR) on a bond if held to maturity.It can be difficult to calculate yield to maturity because it makes the assumption that the bond's rate of return is applicable to all interest and coupon payments.

800 = \(\frac{1000} {1 + \:\:yield \:\:to \:maturity}\)

1 + Yield to maturity = 1.25

Yield to maturity = 25%

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Answer:

m3 is 100 degrees

Step-by-step explanation:

In this case, angle 7 is congruent to angle 5 because both their angles are located on the same place in different lines. Another rule you need to know is that angles across from each other are equal. So, if angle 5 is 100 degrees, then angle 3 is also 100 degrees because they are across from each other.

Answer:

The answer is 28y + 63

Step-by-step explanation:

7(4y+9)

=28y+63

The value of k that makes f(x) a valid pdf is approximately 0.025 to three decimal places.

To make f(x) a valid probability density function (pdf), we need to ensure that the area under the curve between 108 and 148 equals 1. We can use the formula for the area of a rectangle to find the value of k that satisfies this condition.
The width of the rectangle is 148 - 108 = 40, and the height of the rectangle is k. Therefore, the area of the rectangle is 40k.
For f(x) to be a valid pdf, the area under the curve must equal 1. That is:
∫108^148 f(x) dx = 1
Using the formula for a rectangular area, we know that:
∫108^148 f(x) dx = 40k
Therefore, we need to solve the equation:
40k = 1
k = 1/40
So the value of k that makes f(x) a valid pdf is 0.025 (rounded to three decimal places).
To ensure that f(x) is a valid probability density function (pdf), the area under the curve between the specified limits (108 < x < 148) must be equal to 1. Since f(x) = k is a constant function, the area under the curve can be calculated as the product of k and the width of the interval (148 - 108).
Area = k × (148 - 108)
1 = k × 40
To find the value of k, we can solve the equation:
k = 1 / 40
k ≈ 0.025
Thus, the value of k that makes f(x) a valid pdf is approximately 0.025 to three decimal places.

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In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.

Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.

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Step-by-step explanation:

Two rectangles  2   x  25 x 40

one rectangle      40 x 40

two triangles   (Area = 1/2 * base * height)

                                  2  x    1/2  * 40 * 15  

  Total = 4200 m^2

Answer:

55 cm

Step-by-step explanation:

height = 4895/89 = 55 cm

Answer:

See below

Step-by-step explanation:

Use protractor to measure the UNmarked angle (approx 135 degrees)

    then subtract this value from 360 degrees to find the angle in question

The equation | -x + 4 | = -3 does not have a solution set.

The absolute value of a number is always non-negative, meaning it is either zero or positive. The absolute value of any expression, including -x + 4, cannot be negative. However, in this equation, the right side is -3, which is negative. The equation | -x + 4 | = -3 does not have a solution in the set of real numbers.

The absolute value of a number is always non-negative, meaning it is either zero or positive. The absolute value of any expression, including -x + 4, cannot be negative. However, in this equation, the right side is -3, which is negative.

Since the absolute value cannot be negative, there are no values of x that can satisfy the equation | -x + 4 | = -3. Therefore, the solution set is indeed empty or "no solution" in the set of real numbers.

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