Find the set of solutions for each of the absolute value inequalities: |2-5m/2|<14

The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are a) H0: µ = 18 Ha: µ < 18 b) H0: µ = 50 Ha: µ > 50 c) H0: µ = 24 Ha: µ ≠ 24. Based on the given p-value of 0.02, the decision for each situation are a) Since p < 0.05, we reject the null hypothesis b) Since p < 0.05, we reject the null hypothesis c) Since p < 0.05, we reject the null hypothesis.

The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are as follows:

a) H0: µ = 18 (the mean time for mice to complete the maze is equal to 18 seconds)
Ha: µ < 18 (the mean time for mice to complete the maze is less than 18 seconds)

b) H0: µ = 50 (the mean score for the teaching assistant's students is equal to 50)
Ha: µ > 50 (the mean score for the teaching assistant's students is greater than 50)

c) H0: µ = 24 (the mean score for students who passed the credit examination is equal to 24)
Ha: µ ≠ 24 (the mean score for students who passed the credit examination is not equal to 24)

Based on the given p-value of 0.02, the decision for each situation is as follows:
a) Since p < 0.05, we reject the null hypothesis and conclude that the loud noise does cause the mice to complete the maze faster.
b) Since p < 0.05, we reject the null hypothesis and conclude that the teaching assistant's students do have a higher mean score than the class as a whole.
c) Since p < 0.05, we reject the null hypothesis and conclude that the students who passed the credit examination do differ in their understanding of spoken French from students who actually take the French courses.

These decisions are justified because a p-value less than 0.05 indicates that there is a statistically significant difference between the sample mean and the population mean, and therefore we can reject the null hypothesis and accept the alternative hypothesis.

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Answer:

sorry i dont get it.

Step-by-step explanation:

The excess data increases processing time and results in unnecessarily large disk files. if it is too high it runs out of processing time.

Sampling rate: Sampling rate can be seen as the audio version of frames per second. It is the number of “clips” taken from an analogue sound wave in order to make it a digital file. On top of this, sampling rate also controls the highest frequency that can be accurately reproduced by a digital file

If the sampling rate is too low, information is irreversibly lost and the original signal will not be represented correctly. If it is too high, there is no loss of information, but the excess data increases processing time and results in unnecessarily large disk files.

If the rate of samples is too high the system may not be able to process them fast enough - it runs out of processing time.

The disadvantage of higher sampling rates is: Higher rates use more space. The benefits are not as clear. It is possible that even though the human ear cannot hear frequencies above 20 KHZ, it may be able to perceive distortions that higher frequencies have on audible sound.

If lower sampling rates are used, the original signal's information may not be completely recoverable from the sampled signal. If the sampling frequency is too low, aliasing distortion can result. Aliasing is a major concern when using analog-to-digital conversion.

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Answer:

Aside from lengthening processing times, the extra data causes needlessly big disk files. If it is too high, there is not enough time for processing.

Step-by-step explanation:

What does sampling rate mean?

Sample size: Sampling rate can be thought of as the equivalent of frames per second for audio. The quantity of "clips" necessary to convert an analog sound wave into a digital file. In addition, sampling rate determines the greatest frequency that a digital file can faithfully reproduce.

If the sampling rate is too low, data is lost permanently and the original signal cannot be accurately recreated. No information is lost if it is too high, but the excess data lengthens processing time and produces

The system may not be able to process samples quickly enough if the rate is too high—it runs out of processing time.

Higher sample rates have the drawback of taking up more room. The advantages are not as obvious. The human ear may be able to detect distortions caused by frequencies exceeding 20 KHz even though it cannot hear those frequencies directly.

The information included in the original signal may not be entirely recoverable from the sampled signal if lower sampling rates are employed. Aliasing distortion can happen if the sampling frequency is too low. When using analog-to-digital conversion, aliasing is a significant risk.

im gonna say d not sure, 10% is 5 dollars off tho

9514 1404 393

Answer:

 n = 6

Step-by-step explanation:

Perhaps you want n for ...

  \(4\times10^n=4\,000\,000\\\\10^n=1\,000\,000 \qquad\text{divide by 4}\\\\n=6\qquad\text{count the zeros}\)

__

You know that multiplying by 10 appends a 0 to the right end of an integer number. So, a 1 with 6 zeros has been multiplied by 10 six times. The exponent signifies the number of times the factor is repeated. The exponent, n, is 6.

The color of the bear is White, since the house is directly built on north pole.

It is believed that this house was built directly on the northernmost point of the earth, the North Pole. In this scenario, if all four of his sides of the house face south, it means the house faces the equator. Since the North Pole is in an Arctic region where polar bears are common, any bear that passes in front of your house is likely a polar bear.

Polar bears are known for their distinctive white fur that blends in with their snowy surroundings. This adaptation is crucial for survival in arctic environments that rely on camouflage to hunt and evade predators.

Based on the assumption that the house is built in the North Pole and bears pass in front of it, the bear's color is probably white, matching the appearance of a polar bear.

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Answer:

\(\sf y =\dfrac{-1}{5}x-\dfrac{1}{4}\)

Step-by-step explanation:

Here, m is the slope and b is the y-intercept.

Substitute the values of m and b in the above equation.

  \(\sf m = \dfrac{-1}{5} \\\\b = \dfrac{-1}{4}\)

       Slope y-intercept form:

              \(\sf \boxed{y=\dfrac{-1}{5}x - \dfrac{1}{4}}\)

Answer:

The magnitude of a vector is its length.

To calculate the magnitude of a vector in any number of dimensions, square root the sum of the squares of each dimension.

Therefore, if  \(\vec v=(x,y)\)  then its magnitude is:

\(|v|=\sqrt{x^2+y^2}\)

Similarly, if  \(\vec v=(x,y,z)\)  then its magnitude is:

\(|v|=\sqrt{x^2+y^2+z^2}\)

Answer:

x = square root of 55

x^2 = 8^2 - 3^2

x^2= 64 -9

x = square root of 55

Answer: The answer is J

Answer: C = 40

A = 100

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

one thing rsLtd do I FTC Ted e. xrtd dt

The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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the area of the quadrilateral is 55.5 square units.

To find the area of the quadrilateral with the given vertices, we can use the Shoelace Formula (also known as the Gauss area formula). The formula states that the area of a polygon with vertices \(\((x_1, y_1), (x_2, y_2), \ldots, (x_n, y_n)\)\)is given by:

\(\[A = \frac{1}{2} \left|\sum_{i=1}^{n-1} (x_iy_{i+1} - x_{i+1}y_i) + (x_ny_1 - x_1y_n)\right|\]\)

Let's apply the Shoelace Formula to calculate the area of the quadrilateral with the given vertices:

Therefore, the area of the quadrilateral is 55.5 square units.

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Answer:

16-2=14

Explination:

Since they were both in the absolute value markers, they remain positive, but since there was a subtraction symbol between them then you subtract the 2 from the 16

Answer:

2/3, 4/6, 6/9

Step-by-step explanation:

Just multiply the denominator and the numerator by any number and it will be equivalent.

Hoped this helped.

Answer:

4/6 and 6/9 are two equivalent fractions for 2/3

the interval in which g(x) is positive is [3, ∞].

Here we have the function:

g(x) = ∛(x - 3)

The interval in which the function is positive is defined by:

g(x) > 0.

Then we have:

∛(x - 3) > 0.

We need to solve that inequality for x.

∛(x - 3) > 0

The cube root respects the sign of the argument, then:

x - 3 > 0

x > 3

Then the interval in which g(x) is positive is [3, ∞].

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Answer:

Angle T = 39

Step-by-step explanation:

Triangle WXY is the same as triangle VTU

Therefore the angles are the same as well so because angle T and angle X are equal they both have the same value

Answer:

when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.

Step-by-step Explanation:

The relationship between an intercepted arc and an inscribed angle is given as:

the measure of the intercepted arc = twice the inscribed angle that intercepts it.

Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.

Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.

Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."

Answer:

152.32

https://youtu.be/dQw4w9WgXcQ

Answer:

  72 square units

Step-by-step explanation:

The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:

  A = LW

  A = (12)(6) = 72 . . . . square units

__

Additional comment

Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.

Answer:

My best guess would 16.6

I hope that helped! :)

c = (1/2) * ln[(1/3) * (e^(8) - e^(2) + 2)]

To find a value c in [1, 4] such that f(c) is equal to the average value of f(x) = e^(2x) + 1 on [1, 4], we need to use the Mean Value Theorem. The Mean Value Theorem states that if f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a number c in (a,b) such that f'(c) = (f(b) - f(a))/(b-a).

First, we need to find the average value of f(x) on [1, 4]. The average value of a function on an interval [a,b] is given by:

Average value = (1/(b-a)) * ∫[a,b] f(x) dx

In this case, a = 1, b = 4, and f(x) = e^(2x) + 1. So the average value is:

Average value = (1/(4-1)) * ∫[1,4] (e^(2x) + 1) dx

= (1/3) * (e^(8) - e^(2) + 3)

Next, we need to find a value c in [1, 4] such that f(c) = average value. So we need to solve the equation:

e^(2c) + 1 = (1/3) * (e^(8) - e^(2) + 3)

Simplifying and rearranging terms gives us:

e^(2c) = (1/3) * (e^(8) - e^(2) + 2)

Taking the natural logarithm of both sides gives us:

2c = ln[(1/3) * (e^(8) - e^(2) + 2)]

Finally, we can solve for c:

c = (1/2) * ln[(1/3) * (e^(8) - e^(2) + 2)]

This is the value of c in [1, 4] such that f(c) is equal to the average value of f(x) on [1, 4].

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Answer: 1/5

Step-by-step explanation:

The probability that a trip will be to either Nassau or Paris is 0.2 or 20%.

Given, a travel agency is giving away a free trip as part of a grand opening.

The trip will be to one of the ten locations listed. The 10 locations are London, Paris, Rome, Sydney, Athens, Nassau, Hong Kong, Madrid, Tokyo, and Rio De Janeiro.

To find the probability, we need to find how many outcomes are favorable to the event "the trip is to Nassau or Paris" and divide by the total number of possible outcomes.

So, favorable outcomes = 2 (Nassau, Paris)

Total possible outcomes = 10

Probability = (Favorable outcomes)/(Total possible outcomes)= 2/10= 0.2 or 20%.

Therefore, the probability that a trip will be to either Nassau or Paris is 0.2 or 20%.

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Answer:

I think that Sarah sent 70 percent of the text messages , so you have to shade 70 of them .

Answer:

g(t - 1) = t² - 3t + 2

Step-by-step explanation:

substitute x = t - 1 into g(x) , that is

g(t - 1)

= (t - 1)² - (t - 1) ← expand squared factor using FOIL

= t² - 2t + 1 - t + 1 ← collect like terms

= t² - 3t + 2

The derivative is equal to -9/(ln(8x) * |8x| * sqrt((8x)^2 - 1)), where |8x| represents the absolute value of 8x.

The derivative of the function y = sec^(-1)(9ln(8x)) with respect to x, denoted as dy/dx, can be calculated using the chain rule and the derivative of the inverse secant function.

To find the derivative of y = sec^(-1)(9ln(8x)) with respect to x, we can use the chain rule. Let's break down the calculation step by step.

First, let's differentiate the inverse secant function, which has the derivative d/dx(sec^(-1)(u)) = -1/(u * |u| * sqrt(u^2 - 1)), where |u| represents the absolute value of u.

Now, we have y = sec^(-1)(9ln(8x)), and we need to apply the chain rule. The chain rule states that if y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).

In our case, f(u) = sec^(-1)(u), and g(x) = 9ln(8x).

Taking the derivative of g(x) with respect to x, we get g'(x) = 9 * (1/x) = 9/x.

Next, we need to calculate f'(g(x)). Substituting u = 9ln(8x), we have f'(u) = -1/(u * |u| * sqrt(u^2 - 1)).

Combining all the derivatives, we get dy/dx = f'(g(x)) * g'(x) = -1/(9ln(8x) * |9ln(8x)| * sqrt((9ln(8x))^2 - 1)) * 9/x.

Simplifying this expression, we obtain dy/dx = -9/(ln(8x) * |8x| * sqrt((8x)^2 - 1)).

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Answer:

slope = 43; y-intercept is -10

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

y = 43x - 10

y = mx + b

m = 43

b = -10

Answer:

1£=1 liter 1$ = 1.2 liter. ( ans: in U.K)

Step-by-step explanation:

uk. usa.

1£ = 1liter. 3.15 $ = 1 gallon

3.15$ = 3.79 liter

1$= 1.2 liter

to get the rate of one dollar per liter u will

divide 3.79 (amount of liter) into 3.15 (rate in dollars).

3.79

-------

3.15