In rhombus ABCD, diagonal BD= 6" and diagonal AC-8".
The sides of the rhombus are

Answer:

Step-by-step explanation:

There are two clusters. They are aiming in a positive-slope-like direction so it is an overall positive association.

In addition to finding confidence intervals for population parameters, another type of inferential statistics is a test of significance, also known as hypothesis testing.

Hypothesis testing is a form of statistical inference that uses data from a sample to draw conclusions about a population parameter or a population probability distribution.

This assumption is called the null hypothesis and is denoted by \(\text{H}_{\text{o}}\). An alternative hypothesis (denoted \(\text{H}_{\text{a}}\)), which is the opposite of what is stated in the null hypothesis, is then defined. The hypothesis-testing procedure involves using sample data to determine whether or not \(\text{H}_{\text{o}}\) can be rejected. If \(\text{H}_{\text{o}}\) is rejected, the statistical conclusion is that the alternative hypothesis \(\text{H}_{\text{a}}\) is true.

Hence, another type of inferential statistics is a test of significance, also known as hypothesis testing.

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Answer:

B

Step-by-step explanation:

when the arrow is pointing toward the left side that means less than side. When the arrow is pointing towards the right side that means greater than.

Answer:

B, because that symbol means at least so you would go to the negative side which is on the left it has to start from 4 which is correct and this means negative: - The 0 is the origin so from the origin to the left side is negative from the origin to the right side is positive you want to look for negative because it's negative 4.

Answer:

Step-by-step explanation:

x represents the numbers of months and y represents the insect

population.

We are told that:

  1) we start with 125 insects, and

 2) the rascals double each month

Lets use m for months they double from the start of 125 insects.).

We can form an equation that will predict the insect population as a function of the numbers of months, m, from the start (125 insects).

Month 0 is 125

Month 1 would be 125*(1+1) or 125*2

 We can rewrite this as 125*2^1

Month 2                 125*2^2  [It dounbes again]

Month 3                  125^3     [It dounbes yet again]

Month 4                  125^4     [And again]

Month 5                  125^5     [And so on to Infinity and Beyond]

The pattern is 125*(2)^m. where m is months since the starting month of 0.

Insect Population(m) = 125*(2)^m

See the attached graph.

Answer:

0.8

Step-by-step explanation:

-8.1+8.9=0.8

so the answer is 0.8

Effective mean process time = Mean of 60-panel exposure time+Mean repair time=120+240=360 minutes and coefficient of variation (CV)≈0.712

The exposure machine has a mean time of 2 minutes to expose a single panel with a standard deviation of 1 1/2 minutes. The jobs consist of 60 panels, and failures occur between jobs but do not preempt the ongoing job. Repair times remain the same as before.

To compute the effective mean and coefficient of variation (CV) of the process times for the 60-panel jobs, we need to consider the exposure time for each panel and the repair time in case of failures.

Exposure Time:

Since the exposure time for a single panel follows a normal distribution with a mean of 2 minutes and a standard deviation of 1 1/2 minutes, the exposure time for 60 panels can be approximated by the sum of 60 independent normal random variables. According to the properties of normal distribution, the sum of independent normal random variables follows a normal distribution with a mean equal to the sum of the individual means and a standard deviation equal to the square root of the sum of the individual variances.

Mean of 60-panel exposure time = 60 * 2 = 120 minutes

Standard deviation of 60-panel exposure time = √(60 * (1 1/2)²) = √(60 * (3/2)²) = √(270) ≈ 16.43 minutes

Repair Time:

The repair time remains the same as before, which is exponentially distributed with a mean of 4 hours.

Mean repair time = 4 hours = 240 minutes

Effective Mean and CV of Process Times:

The effective mean process time for the 60-panel job is the sum of the exposure time and the repair time:

Effective mean process time = Mean of 60-panel exposure time + Mean repair time = 120 + 240 = 360 minutes

The coefficient of variation (CV) for the 60-panel job can be calculated by dividing the standard deviation by the mean:

CV = (Standard deviation of 60-panel exposure time + Standard deviation of repair time) / Effective mean process time

CV = (16.43 + 240) / 360 ≈ 0.712

Comparing with the results in Problem 3, the effective mean process time for the 60-panel jobs has increased from 270 minutes to 360 minutes. The CV has also increased from 0.60 to 0.712. These changes indicate that the process variability has increased, resulting in longer overall process times for the 60-panel jobs compared to the single-panel exposure.

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The measure of the indicated angle θ is approximately 39.9°.

Use the concept of a triangle defined as:

A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.

After labeling the figure

In triangle ABC

Sin θ = AC/AB

Sin 26° = AC/19

AC ≈ 0.44 x 19

AC ≈ 8.36

Now in Triangle ADC,

tan θ = (opposite side of θ)/(Adjacent side)

tan θ ≈ 7/8.36

tan θ ≈ 0.837

Take the inverse of tan on both sides, we get,

θ ≈ 39.9°

Hence,

The value of angle θ is approximately 39.9°.

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The correct option is B. influential point. An influential point refers to an observation or data point that has a significant impact on the results or conclusions of a statistical analysis.

The new observed data point is included in the set of bi-variate data.

You find that the slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61. This new data point is probably an influential point.

An influential point is a data point that significantly impacts the results of the statistical analysis done. It can be an outlier, but not necessarily.

A single point can also influence the correlation coefficient, as well as the slope of the regression line. In general, an influential point has a high leverage, meaning that it has a greater impact on the model's predictions than other points.

The slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61. So the new data point is an influential point.

Therefore, the correct option is B. influential point.

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Answer:

The answer is B, 17.83 km.

Step-by-step explanation:

To solve this, we need to first find out how many kilometers he rode for both Monday and Wednesday. To do this, add 13.94 and 18.23 together. The answer is 32.17 kilometers. Since we know he has to ride 50 kilometers for the week, we can subtract 32.17 from 50 to find the answer. Note that I didn't attempt to convert 32.17 to kilometers since that was the unit of measure it was already in. Now, after you have done 50-32.17, you will get 17.83. Put this in kilometers. This gives us our answer, which is 17.83 km. Mark needs to ride for 17.83 more kilometers to complete his training for the week.

Answer:

68

Step-by-step explanation:

Answer:

The correct answer is 78.

Answer:

n > -2

Step-by-step explanation:

7(1 - 2n) < 33 - n

7 - 14n < 33 - n

Subtract 7

-14n < 26 - n

Add n

-13n < 26

Divide by -13

n > -2

Answer:

n > -2

Step-by-step explanation:

Distribution property:

7 - 14n < 33 - n

Bring n over:

7 - 13n < 33

Bring 7 over:

-13n < 26

n > -2

Answer: 1. -13x4=-52

2. 9x(-3)=-27

3. -24: -21

4. -15x(-4)=80

Step-by-step explanation:

\(x\leq -18\)

Graph Displayed Below

Hope this helps!

The solution to the given inequality \(3x \leq -54\) is \(x \leq \frac{-54}{3}\) .

Inequality is a fine statement that compares two values, showing if one is lower than, lesser than, or simply not equal to another value. Inequalities are frequently used to represent connections between amounts, similar to the relationship between the height and weight of a person, or the relationship between the speed and time of an object in stir.

We first divide the inequality \(3x \leq -54\) by 3 on both sides to obtain:

\(x \leq \frac{-54}{3}\) .

Then, we plot the line \(x = \frac{-54}{3}\) on the graph. The region left to the line thus obtained is the solution of the given question.

Thus, the line \(x \leq \frac{-54}{3}\) is plotted in the graph.

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Answer:

15

Step-by-step explanation:

30 divided by 2 = 15

Answer:

Hi there!

Your answer is:

James can buy 15 balloons

Step-by-step explanation:

20 + 2x = 50$

-20

2x = 30$

/2

x= 15$

Plug back in to check yourself!

20+ 2(15) = 50

20 + 30 = 50

50 = 50

I hope this makes sense!

Answer:

\(4^{12}\)

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{(m-n)}\) , then

\(\frac{4^{8} }{4^{-4} }\) = \(4^{(8-(-4))}\) = \(4^{(8+4)}\) = \(4^{12}\)

To plate 1 mL of a sample that has been diluted in 0.00000001 mL of diluent, or a dilution factor of 10^8.

To determine what sample volume should yield a countable plate, we need to calculate the appropriate dilution factor.

The sample has a density of 7.9 x 10^9 CFU/mL, and we want to plate 1 mL of a 10^-8 original dilution, which means we need to dilute the sample by a factor of 10^8 to obtain a countable plate.

We can calculate the required dilution factor using the following formula:

Dilution factor = (Volume of sample plated) / (Total volume of diluted sample)

To dilute the sample by a factor of 10^8, we can calculate the total volume of diluted sample as follows:

Total volume of diluted sample = (Volume of sample plated) x (Dilution factor)

Substituting the values, we get:

10^8 = 1 mL / (Total volume of diluted sample)

Total volume of diluted sample = 1 mL / 10^8

Total volume of diluted sample = 0.00000001 mL

Therefore, to obtain a countable plate, we need to plate 1 mL of a sample that has been diluted in 0.00000001 mL of diluent, or a dilution factor of 10^8.

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Answer:

Step-by-step explanation:

after buying x cups of coffee, we will have x/4 times remaining on the card, and every time remaining $3, so

A=3(x/4)

In AutoCAD, you can change the UCS icon from 3D to 2D by following these steps:

AutoCAD is a commercial computer-aided design and drafting software application.

Alternatively, you can also change the UCS icon to 2D by typing "UCSICON" in the command line, then pressing the F6 key. This will toggle the UCS icon between 2D and 3D.

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Answer:

Exact Form:

38/5

Decimal Form:

7.6

Mixed Number Form:

7 3/5

Step-by-step explanation:

To evaluate the integral of e^(3x) / (1 + e^(3x)) dx, the best substitution to make is u = 1 + e^(3x).

Using this substitution, we can find du/dx = 3e^(3x), which implies dx = du / (3e^(3x)). Thus, the integral becomes:

integral of [e^(3x) / (1 + e^(3x))] dx = integral of [1 / (u-1)] (du / (3e^(3x)))

Now, we can replace the expression e^(3x) with (u-1) / u, and dx with du / (3e^(3x)), giving:

integral of [e^(3x) / (1 + e^(3x))] dx = integral of [1 / (u-1)] (du / (3(u-1))) = (1/3) ln|u-1| + C

Finally, we can substitute back u = 1 + e^(3x) to obtain:

integral of [e^(3x) / (1 + e^(3x))] dx = (1/3) ln|1+e^(3x)-1| + C = (1/3) ln|e^(3x)| + C = (1/3) (3x) + C = x + C, where C is the constant of integration.

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Answer:

32 ounces

Step-by-step explanation:

size of the jumbo = size of the regular bag + value of the percentage increase

percentage increase = 12 x 166 2/3%

= 12 x 1.6667

= 20

20 + 12 = 32 ounces

Anwser: 41°

Okay so every triangle is 180° degrees in total.

We need to find the angle of x in the triangle BDC.

We know that the angle of x is 180 - ( x + 15)

We also have another triangle named BAD

Which angles are 90 + 56 + x

the angle of D in the triangle BDC is 180 -58 = 124

So 124 + 15 = 139

180 - 139 = 41

For each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.

The Bonferroni method is a statistical procedure used to adjust the significance level for multiple comparisons in order to control the familywise error rate. To perform multiple comparisons using the Bonferroni method at the 0.01 level, you would divide the desired overall significance level (0.01) by the number of pairwise comparisons being made.

If you have four levels of treatments and want to compare each pair of treatments, you would have a total of six pairwise comparisons: A vs. B, A vs. C, A vs. D, B vs. C, B vs. D, and C vs. D.

To apply the Bonferroni correction, divide the desired overall significance level of 0.01 by the number of comparisons (6):

Adjusted significance level = 0.01 / 6

The adjusted significance level for each individual comparison would then be:

Adjusted significance level = 0.01 / 6 ≈ 0.00167

So, for each pairwise comparison, you would compare the p-value against an adjusted significance level of approximately 0.00167 to determine if the difference between the treatments is statistically significant after applying the Bonferroni correction.

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The ratio of boys to girls in its lowest terms is 7/9.

The class is having Number of boys = 14 and

Number of girls = 18

Now we will compare the two quantities in terms of ‘how many times’. This comparison is known as the Ratio. We denote ratio using symbol ‘:’

The ratio of boys to girls in its lowest terms can be found by dividing number of boys by number of girls.

=Number of boys/Number of girls

= 14/18

=7/9

Hence the ratio of boys to girls in its lowest terms is 7/9, which is also denoted as 7:9

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The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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Answer:

1440

Step-by-step explanation:

60x24 = 1440

hope this helps

Answer:

\(60*24=1440\)

Step-by-Step Explanation:

~Kandy~
Hope this helped!

Brainliest Please!

Answer: 2

Step-by-step explanation:

    −y + 25 = 12y − 1

Переместите все члены, содержащие y, в левую часть уравнения

Вычтем 12y из обеих частей уравнения.

    −y + 25 − 12y = −1

 Вычтем 12y из −y.

    −13y + 25 = −1

Переместите все члены, не содержащие y, в правую часть уравнения.

Вычтем 25 из обеих частей уравнения.

    −13y = −1 − 25

Вычтем 25 из −1.

    −13y = −26

Разделите каждый член на −13 и упростите.

Разделите каждый член в −13y = −26 на −13.

     −13y /-13 = -26/-13

Сократить общий множитель −13.

    −26 /-13

Разделим −26 на −13.

    y = 2

Answer:

8+k2-6>8(k+2)-4k

Step-by-step explanation:

8+7×2-6 and 8(7+2)-4×7

8+14-16 and (56+16)-28

6 and 44

Answer:

Step-by-step explanation:

A