-2(x-4) =14 what is the x​

Each of the probability for a given flight of this aircraft are 0.6561, 0.2048, 0.0294, 0.0012, 0.0001

Let A, B, C, and D be the probability that the engine A, B, C, and D, respectively, will fail in a given flight. Assuming that no two engines fail at the same time, the probability that the engine will fail is obtained by multiplying the probabilities of each engine failing. Therefore, the probability that no engine fails is:

P(no engine fails) = (0.9) (0.9) (0.9) (0.9) = 0.6561

The probability that only one engine fails is calculated as follows: There are four possible cases (A, B, C, and D) where only one engine fails.

The probability that only one engine fails is:

For engine A, P(A) = (0.1) (0.8) (0.8) (0.8) = 0.0512

For engine B, P(B) = (0.8) (0.1) (0.8) (0.8) = 0.0512

For engine C, P(C) = (0.8) (0.8) (0.1) (0.8) = 0.0512

For engine D, P(D) = (0.8) (0.8) (0.8) (0.1) = 0.0512

The total probability that only one engine fails is: P(only one engine fails) = 4 x 0.0512 = 0.2048

The probability that two engines fail is calculated as follows:

There are six possible cases (AB, AC, AD, BC, BD, CD) where only two engines fail.

The probability that two engines fail is:

For engines AB, P(AB) = (0.1) (0.1) (0.7) (0.7) = 0.0049

For engines AC, P(AC) = (0.1) (0.7) (0.1) (0.7) = 0.0049

For engines AD, P(AD) = (0.1) (0.7) (0.7) (0.1) = 0.0049

For engines BC, P(BC) = (0.7) (0.1) (0.1) (0.7) = 0.0049

For engines BD, P(BD) = (0.7) (0.1) (0.7) (0.1) = 0.0049

For engines CD, P(CD) = (0.7) (0.7) (0.1) (0.1) = 0.0049

The total probability that two engines fail is: P(two engines fail) = 6 x 0.0049 = 0.0294

The probability that three engines fail is calculated as follows:

There are four possible cases (ABC, ABD, ACD, BCD) where only three engines fail.

The probability that three engines fail is:

For engines ABC, P(ABC) = (0.1) (0.1) (0.1) (0.3) = 0.0003

For engines ABD, P(ABD) = (0.1) (0.1) (0.3) (0.1) = 0.0003

For engines ACD, P(ACD) = (0.1) (0.3) (0.1) (0.1) = 0.0003

For engines BCD, P(BCD) = (0.3) (0.1) (0.1) (0.1) = 0.0003

The total probability that three engines fail is: P(three engines fail) = 4 x 0.0003 = 0.0012

The probability that four engines fail is: P(four engines fail) = (0.1) (0.1) (0.1) (0.1) = 0.0001

The probability that the aircraft can continue flying with as few as two operating engines is:

P(at least two engines operate) = 1 - P(only one engine operates) - P(no engine operates) = 1 - 0.2048 - 0.0001 = 0.7951

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The resulting p-value would decrease in both scenarios if we sampled twice as many students but found the same sample proportion as before.

The p-value is the probability of observing a sample proportion as extreme or more extreme than the one calculated from the sample data, assuming the null hypothesis is true. When we increase the sample size, the standard error of the sample proportion decreases, which means that the sample proportion becomes more representative of the population proportion.

In other words, the larger the sample size, the more accurate the estimate of the population parameter (in this case, the proportion of students who support the change). As a result, the difference between the sample proportion and the hypothesized population proportion (under the null hypothesis) is likely to be smaller, leading to a smaller p-value.

To compute the p-value, we use the test statistic, which is a measure of how many standard errors the sample proportion is from the hypothesized population proportion under the null hypothesis. When we increase the sample size, the test statistic becomes larger, which means that the p-value becomes smaller. Therefore, the p-value would decrease if we sample twice as many students but find the same sample proportion as in exercise 6.

In summary, increasing the sample size while keeping the sample proportion constant would result in a smaller p-value, indicating stronger evidence against the null hypothesis.

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The equation for the least-squares regression line for the given data and the average chance of admission for a student who scores a 305 on the GRE are options b) 51% (or 0.51).

To find the equation for the least-squares regression line, we need to first calculate the slope and y-intercept. Let x be the predictor variable (GRE score) and y be the response variable (admission chance). Then, we have:

n = 10 (number of data points)

Σx = 3100

Σy = 52.1

Σxy = 161750

Σx^2 = 96100

Σy^2 = 24.71

The slope, b, can be calculated as:

b = (nΣxy - ΣxΣy) / (nΣx^2 - Σx^2)

= (10(161750) - (3100)(52.1)) / (10(96100) - 3100^2)

= 0.0644

The y-intercept, a, can be calculated as:

a = (Σy - bΣx) / n

= (52.1 - (0.0644)(3100)) / 10

= 0.336

Therefore, the equation for the least-squares regression line is:

y = 0.0644x + 0.336

To find the average chance of admission for a student who scores a 305 on the GRE, we simply substitute x = 305 into the equation and solve for y:

y = 0.0644(305) + 0.336

= 0.5136

So the average chance of admission for a student who scores a 305 on the GRE is b) 51% (or 0.51).

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Answer:

R=12.56

Step-by-step explanation:

radius is the center to side or half of the circumference 25.12/2=12.56

The derivative of the given expression using the chain rule is -e^(-t/τ) cos(ωt)/τ.

To find the derivative of the given expression using the chain rule, we need to apply the chain rule formula, which states that if y = f(u) and u = g(x), then:

dy/dx = dy/du * du/dx

In this case, we have:

y = e^(-t/τ) * sin(ωt)

u = -t/τ

f(u) = e^u

g(x) = -t/τ

Using the chain rule formula, we can find:

dy/dx = dy/du * du/dx

dy/du = d/dx(e^u) = e^u * du/dx

du/dx = -1/τ

Substituting these values, we get:

dy/dx = e^(-t/τ) * cos(ωt) * (-1/τ)

dy/dx = -e^(-t/τ) * cos(ωt)/τ

Therefore, the value obtained is -e^(-t/τ) * cos(ωt)/τ.

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Answer:

The answer your looking for is, C.

The instantaneous rate of change at x = 2 is 0

at x = 3 is negative

0 <= x <= 4 is 0

a function has an instantaneous rate of change of 0 at a maximum or minimum

the instantaneous rate of change at x = 3 being negative means it goes down after the maximum or minimum meaning it is a maximum

the average rate of change on the interval is 0, so the function goes up and then down

these all sound like a parabola

y = -2(x - 2)^2 + 10 is a parabola that fits the requirements

Answer:

First bullet point

Step-by-step explanation:

Answer: The first option (A)

Step-by-step explanation:

i did the math just plug in the numbers for x.

hope this helps pls mark me brainliest

Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.  

A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.

Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.

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Therefore, the measure of the central angle whose radii define the given arc is approximately 83.077 degrees.

The length of an arc on a circle is given by the formula:

Arc Length = (Central Angle / 360°) * Circumference

In this case, we know the arc length is 6π centimeters, and the radius of the circle is 13 centimeters. The circumference of the circle can be calculated using the formula:

Circumference = 2π * Radius

Substituting the radius value, we get:

Circumference = 2π * 13

= 26π

Now we can use the arc length formula to find the central angle:

6π = (Central Angle / 360°) * 26π

Dividing both sides of the equation by 26π:

6π / 26π = Central Angle / 360°

Simplifying:

6 / 26 = Central Angle / 360°

Cross-multiplying:

360° * 6 = 26 * Central Angle

2160° = 26 * Central Angle

Dividing both sides by 26:

2160° / 26 = Central Angle

Approximately:

Central Angle ≈ 83.077°

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Answer: 18 quarts

Step-by-step explanation:

As per given,

Quantity of sparkling juice is proportional to quantity of course with grape juice.

Given: A free cable sparkling juice calls for \(1\dfrac12\) quarters of sparkling water and \(\dfrac34\) course with grape juice .

Let x be the quantity of sparkling water need to mix with 9 quarts of grape juice.

then, by equation of direct proportion , we have

\(\dfrac{1\dfrac12}{\dfrac34}=\dfrac{x}{9}\\\\\Rightarrow\dfrac{\dfrac{3}{2}}{\dfrac{3}{4}}=\dfrac{x}{9}\\\\\Rightarrow\ \dfrac21=\dfrac{x}{9}\\\\\Rightarrow\ x=9\times2\\\\\Rightarrow\ x=18\)

Hence, the quantity of sparkling water need to mix with 9 quarts of grape juice = 18 quarts

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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Answer:x=7/5 or 1 2/5

Step-by-step explanation:

x + 3/5=2

Step 1: Subtract 3/5 from both sides.

X+3/5-3/5=2-3/5

X=7/5

Answer:

7/5 or 1 2/5

Step-by-step explanation:

\(x+\dfrac{3}{5}=2 \\\\\\x=2-\dfrac{3}{5} \\\\\\x=\dfrac{10}{5}-\dfrac{3}{5} \\\\\\x=\dfrac{7}{5}= 1\dfrac{2}{5}\)

Hope this helps!

Therefore , the solution of the given problem of unitary method comes out to be the two values are 12 and -17 .

This common convenience, already-existing variables, or all important elements from the original Diocesan malleable study that followed a particular methodology can all be used to achieve the goal. Both crucial elements will surely be missed if the phrase confirmation outcome does not occur, but if it does, it will be possible to contact the entity again.

Here,

We can commence by listing the factor pairs of 204 in order to find two numbers that have a product of -204 and a sum of 28:

=> 1 x 204 = 204

=> 2 x 102 = 204

=> 3 x 68 = 204

=> 4 x 51 = 204

=> 6 x 34 = 204

=> 12 x 17 = 204

Since the result is negative, we know that the signs of the two integers are the exact opposite. We also know that the bigger number must be positive and the smaller number must be negative because the sum is positive.

Therefore, 12 and -17 are the only factor couple that satisfy these requirements.

=> 12 x -17 = -204

=> 12 + (-17) = 28

The two values are 12 and -17 as a result.

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Answer:

x = 60

Step-by-step explanation:

X/2-5=25

Add 5 to each side

X/2-5+5=25+5

x/2 = 30

Multiply each side by 2

x/2*2 = 30*2

x = 60

Answer:

60

Step-by-step explanation:

x/2 - 5 =25 /×2

x - 10 =50

x=50 +10

x=60

By applying angle relationships theory, it can be concluded that BCE and CED are Alternate Interior angles.

When a transversal intersects two parallel lines, there will be some angle relationships:

Now we take a look at the picture given and use the angle types above to name the relationship between angles.

As we are asked to determine the relationship between angles BCE and CED, we can take a look at the above explanation.

Thus, the angle relationship describes angles BCE and CED as Alternate Interior angles.

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Answer:

m∠ABC = m∠BED; Corresponding Angles Theorem

Step-by-step explanation:

I took the test on FLVS and got it right

Answer:

3/5

Step-by-step explanation:

72/2 =36

120/2 =60

=36/60

36/2 = 18

60/2 = 30

=18/30

18/2=9

30/2 =15

= 9/15

9/3=3

15/3 =5

= 3/5

7.  13.2 m

8. 44 in

9. 50.3 cm

Answer:

Area =  l × w

=  18 × 10

=  180 centimeters2

Step-by-step explanation:

Answer:

6 is greater than -6

Explanation:

Hope it helps you..

Your welcome in advance..

(ㆁωㆁ)

Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

➜96×1/3

➜96/3

➜32km

Answer:

y=2/-1 -3

Step-by-step explanation:

The inequality that represents all the solutions of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4

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

-2(3x + 6) ≥ 4(x + 7)

Divide both sides of the inequality by -2

So, we have the following representation

3x + 6 ≤ -2(x + 7)

Open the brackets

This gives

3x + 6 ≤ -2x - 14

Add 2x to both sides of the inequality

So, we have the following representations

5x + 6 ≤ -14

Subtract 6 from both sides of the inequality

So, we have the following representations

5x ≤ -20

Divide both side of the inequality

x ≤ -4

Hence, the solution is x ≤ -4

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Step-by-step explanation:

If (x - 5)(2x + 1)(x - 7) = 0,

we have the roots x = -0.5, x = 5 and x = 7.

Since the coefficient of x³ here is positive,

the answer is -0.5 < x < 5 or x > 7.

A nurse should empty a Hemovac wound suction device when it is half full to ensure proper functioning and prevent discomfort or injury to the patient due to the device becoming too heavy.

The rationale for a nurse to empty a Hemovac wound suction device when it is half full is to ensure the device is functioning correctly and to prevent it from becoming too heavy and potentially causing discomfort or injury to the patient.

When a Hemovac wound suction device is half full, it may start to lose suction, which can result in less efficient drainage of fluid from the wound site. By emptying the device, the nurse can ensure that the device is functioning correctly and that the suction pressure is maintained.

Additionally, allowing the device to become too full can make it heavy and uncomfortable for the patient, potentially causing discomfort or injury to the wound site. Therefore, emptying the device when it is half full can help prevent these complications and ensure that the patient remains comfortable throughout the healing process.

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Answer:

$283  and or  algebraic form 458 - x ≥ 175

Step-by-step explanation:

If you subtract 458-175 you get 283 so that how much Megan can spend.

The given function is

To find its inverse g(x) we will do these steps

1. Replace f(x) by y

2. Switch x and y

3. Solve to find y

Take a square root for both sides

Add 5 to both sides

4. Replace y by g(x)

The answer is the 3rd choice