|6 - 3| simplify this answer please

For Sun Tyrant: Median: 27, Q1: 24, Q3: 28, IQR: 4

For Sun Acrid: Median: 28, Q1: 26, Q3: 29, IQR: 3

For Laminatekist: Median: 26.5, Q1: 25.5, Q3: 27.5, IQR: 2

A. To compute the median, lower and upper quartiles, and interquartile range for each data set, we first need to sort the data sets in increasing order.

Sun Tyrant: 22, 24, 24, 24, 25, 25, 27, 28, 28, 28, 28, 29, 30

Median: 27, Q1: 24, Q3: 28, IQR: 28 - 24 = 4

Sun Acrid: 22, 23, 25, 26, 26, 27, 28, 29, 29, 29, 29, 31

Median: 28, Q1: 26, Q3: 29, IQR: 29 - 26 = 3

Laminatekist: 24, 25, 25, 26, 26, 26, 26, 27, 27, 28, 28, 28, 28

Median: 26.5, Q1: 25.5, Q3: 27.5, IQR: 27.5 - 25.5 = 2

B. To construct three different modified box-and-whisker plots, we need to plot the median and the lower and upper quartiles on the same horizontal axis and draw the "whiskers" to represent the rest of the data. We can also add the mean if desired.

C. By looking at the three box plots, we can see that the shape of the distributions is not symmetric but rather skewed in one direction. This is indicated by the median, which is not in the center of the box, and the lower whisker being longer or shorter than the upper whisker.

D. Based on the box plots, it appears that Sun Tyrant has a smaller IQR, meaning the raisins in its boxes are more consistent. This also means that it is more likely to end up with a box with fewer raisins compared to the other two brands.

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opposite sides of a rectangle are equal and parallel

If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

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Answer:

First, we need to calculate the control limits for the X-chart. Since the sample size is 4, the standard deviation of the sample mean is:

σ/√n = 2/√4 = 1

The 3σ control limits for the X-chart are:

Upper Control Limit (UCL) = 8 + 3(1) = 11

Lower Control Limit (LCL) = 8 - 3(1) = 5

Next, we need to find the probability that a point falls outside the control limits when the process mean shifts to 9. This can be calculated using the Gaussian distribution:

P(X < 5 or X > 11) = P(Z < (5-9)/2) + P(Z > (11-9)/2) = 0.00135 + 0.00135 = 0.0027

where Z is the standard normal distribution.

Therefore, the average run length (ARL) is:

ARL = 1/p = 1/0.0027 = 370.37

So on average, it will take 370.37 samples before the process mean shift is detected on an X-chart.

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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Part A

The starting amount of water is 95 cubic meters or m^3 for short. This is the y intercept because it handles the starting amount.

Then the pool is filled at a rate of 4 m^3 per minute. This is the slope, i.e. the rate of change. Because this rate of change is constant, we have a linear equation.

We go from y = mx+b to y = 4x+95

Replace x with t to get the answer.

==============================================

Part B

Plug in t = 17 and compute

V(t) = 4t + 95

V(17) = 4*17 + 95

V(17) = 163

===============================================

Part C

We go in reverse compared to the previous part.

This time we don't know the t value, but we are given the V(t) value instead.

V(t) = 231

4t+95 = 231

4t = 231-95

4t = 136

t = 136/4

t = 34

Answer:

messy... but hope it helps you.

The three (3) true statements about the quadratic function, f(x) = x^2 – 5x + 12 and its graph include the following:

A. The value of f(–10) = 82

B. The graph of the function is a parabola.

D. The graph contains the point (20, –8).

Generally speaking, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. For this quadratic function, the graph is a upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero.

Next, we would determine the other true statements about the graph of this quadratic function:

At data point (-10, 82), we have the following:

Quadratic function, f(x) = 1/5 x² – 5x + 12

Quadratic function, f(x) = x²/5 – 5x + 12

Quadratic function, f(-10) = -10²/5 – 5(-10) + 12

Quadratic function, f(-10) = 82

At data point (20, -8), we have the following:

Quadratic function, f(x) = 1/5 x² – 5x + 12

Quadratic function, f(x) = x²/5 – 5x + 12

Quadratic function, f(20) = 20²/5 – 5(20) + 12

Quadratic function, f(20) = -8

In conclusion, the graph of this quadratic function, f(x) = x^2 – 5x + 12 does not contain the data point (0, 0) as shown in the image attached below.

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Answer:

y=7/9x+31/9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-5)/(-7-2)

m=-7/-9

m=7/9

y-y1=m(x-x1)

y-5=7/9(x-2)

y=7/9x-14/9+5

y=7/9x-14/9+45/9

y=7/9x+31/9

Answer: i think b

Step-by-step explanation:

Using a quadratic function, it is found that:

a) The coordinates of the second x-intercept are: (50,0).

b) The vertex shows the maximum flight of the projectile.

c) The coordinates of the vertex are (25, 62).

3) The graph of the equation y = -0.0992(x² - 50x) is given at the end of the answer.

A quadratic function has two x-intercepts, x' and x'', and is defined as follows:

y = a(x - x')(x - x'').

The intercepts are given as follows:

The vertex is found as follows:

Hence the coordinates are: (25, 62).

The equation can be defined as follows:

y = ax(x - 50)

y = a(x² - 50x).

When x = 25, y = 62, hence the leading coefficient is found as follows:

62 = a(25² - 50(25))

-625a = 62

a = -62/625

a = -0.0992.

Hence the equation is:

y = -0.0992(x² - 50x).

The domain of the function is between the roots, hence 0 ≤ x ≤ 50, and the graph is sketched at the end of the answer.

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Answer:

2.

Step-by-step explanation:

1+1=2.

The probability is that the married couple watches the show is 0.35.

According to the statement

We have to find the probability is that the probability that married couple watches the show is 0.35.

For this purpose, we know that the

Probability is the ratio of the number of outcomes to the total number of possible outcomes.

With the given information

a married man watches a certain television show is 0.4

the probability that a married woman watches the show is 0.5.

the probability that a man watches the show, given that his wife does, is 0.7

Then

Let M be the event that a married man watches a certain T.V.

And N be the event that a married woman watches the show.

The probability become

\(P(M)=0.4\)   \(P(F)=0.5\)

and the

\(P(\frac{M}{F} )=0.7\)

Then

The probability become is the

P(M∩F)=0.7*0.5

And

\(P=0.7*0.5\)

\(P=3.5\)

So, The probability is that the married couple watches the show is 0.35.

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Question:

The probability that a married man watches a certain TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given that his wife does, is 0.7. Then

the probability that married couple watches the show.

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1) C = 3.14 × 1 cm

or, C = 3.14 cm

2) C = 2 × 3.14 × 5m

or, C = 3.14 × 10m

or, C = 31.4 m

3) C = 2 × 22/7 × 14 cm

or, C = 28 × 22/7 cm

or, C = 4 × 22 cm

or, C = 88 cm

4) L = 90/360 × 2 × 22/7 × 5 cm

or, L = 1/4 × 10 × 22/7 cm

or, L = 220/28 cm = 55/7 cm

or, L = 7 whole 6/7 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:de

Step-by-step explanation:

The chi-squared test is the most appropriate hypothesis test to determine whether the proportion of people who smoke is independent of region

To determine whether the proportion of people who smoke is independent of region, the most appropriate hypothesis test would be the chi-squared test for independence.

The chi-squared test for independence is used to analyze the association between two categorical variables. In this case, we have two categorical variables: smoking (smoker/non-smoker) and region (e.g., Northeast, Midwest, South, West). We want to investigate whether the proportion of smokers differs across regions.

The null hypothesis (H0) for this test would be that the proportion of people who smoke is independent of region, meaning there is no association between smoking and region. The alternative hypothesis (Ha) would be that the proportion of smokers is dependent on the region, indicating an association between smoking and region.

By conducting the chi-squared test for independence, we can calculate the test statistic and compare it to the critical value from the chi-squared distribution to determine whether we reject or fail to reject the null hypothesis. If the test statistic is significantly different from the critical value, we can conclude that the proportion of people who smoke is not independent of region.

Therefore, the chi-squared test for independence is the most appropriate hypothesis test.

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To calculate the surface aarea, we will use the formula;

T.S.A = 1/2 (pl) + B

where;

p= perimeter of the base

l= slant height

B= area of the base

From the diagram

l= 10 yard

P= 4(16) = 64 yard

B= 16 x 16= 256 yards

Substitute the value into the formula;

T.S.A = 1/2 (64)(10) + 256

=320 + 256

=576 inches²

Answer:

8x+8

Step-by-step explanation:

x+4+3x+x+4+3x

8x+8

hope it helps :)

Answer:

Should be 8x+8.

Step-by-step explanation:

(non simplified) 3x+3x+(x+4)+(x+4)

6x+(2x+8)

8x+8

Hope this could help

Using logarithm properties, the expression written as a single term is:

\(\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}\)

Researching the problem on a search engine, the expression is given by:

3[2ln(x - 1) - ln(x)] + ln(x + 1).

Applying the distributive property, we have that:

6ln(x - 1) - 3ln(x) + ln(x + 1).

Applying the exponential property of logarithms, we have that the expression is:

\(\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)}\)

The adding terms can be placed inside multiplying, the subtracting dividing, hence:

\(\ln{(x - 1)^6} - \ln{(x)^3} + \ln{(x + 1)} = \ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}\)

Hence the expression written as a single term is:

\(\ln{\left(\frac{(x - 1)^6(x+1)}{x^3}\right)}\)

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$6.50g+$3.50=$23.00                  

Answer: 30

Step-by-step explanation: each 1/4 is 10. So 30 is 3/4

(a) It is False a delta modulator does not have a fixed number of quantization levels. It uses a 1-bit quantizer, resulting in a binary decision for each sample.

(b) It is False the bandwidth of a VSB (Vestigial Sideband) signal is greater than that of the corresponding SSB (Single Sideband) signal, but it is also greater than the bandwidth of the corresponding DSBSC (Double Sideband Suppressed Carrier) signal.

(c) It is False a zero-ISI pulse satisfies p(t) = 1 when t = 0, and p(t) = 0 for all other values of t. This ensures that there is no interference between adjacent symbols at the receiver.

(d) It is False wideband FM has a wider bandwidth than AM for the same message signal. The bandwidth of FM depends on the modulation index and the frequency deviation.

(e) It is False Line coding is necessary for DSBSC demodulation to recover the original message signal. It ensures proper synchronization and provides a method to represent binary data.

(f) It is true FM is more resistant to non-linearity distortion than AM. FM modulation spreads the signal energy across a wider frequency range, reducing the impact of non-linearities.

(g) It is False in a Quadrature Amplitude Modulator (QAM), two signals are transmitted at different frequencies but at the same time, allowing them to coexist without interference.

(h) It is true DSBSC demodulators can be used for demodulating AM signals because DSBSC is a special case of AM where the carrier is suppressed.

(i)It is False the minimum bandwidth required for transmitting 10 PCM (Pulse Code Modulation) bits/second depends on the sampling rate and the specific encoding scheme used.

(j)It is False the bandwidth of an anti-aliasing filter is determined by the Nyquist-Shannon sampling theorem and is typically set to half the sampling frequency to prevent aliasing. It is not equal to the sampling frequency.

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COMPLETE QUESTION - Put (T)rue or (F)alse in the brackets in front of each of the following statements (Correct =+2 points, Wrong =−1 points, Unanswered =0 points) ] (a) A delta modulator has a quantizer with 256 quantization levels ] (b) The bandwidth of a VSB signal is greater than the BW of the corresponding SSB and less than the BW of the corresponding DSBSC signal. ] (c) When transmitting bits at a rate of 1/T b , a zero-ISI pulse p(t) must satisfy p(t)={ 0, 1,t=±T b ,±2T b ,±3T b ,…t=0] (d) Wideband FM has the same bandwidth as AM for the same message signal. 1 (e) Line coding is not required for DSBSC demodulation. ] (f) FM is more resistant to non-linearity distortion than AM. ] (g) In a Quadrature Amplitude Modulator (QAM), two signals are transmitted at the same frequency without interfering with each other. ] (h) DSBSC demodulators can be used for demodulating AM signals (DSB with carrier) ] (i) The minimum bandwidth required for transmitting 10PCM bits/second is 20 Hz. ] (j) The bandwidth of an anti-aliasing filter is equal to the sampling frequency.

Answer:

4 number x value is 10 in

5 number x value is 12mi

use formula of h2=p2+b2

Answer:

y=-3x+7

Step-by-step explanation:

The slope form is y=mx+b

7 replaces B since the points intercept at positive 7. The slope is already given to you so that ur equations

To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.

Epic poem

An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.

'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.

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Answer:

5(x−1)

Step-by-step explanation: