To inspect manufacturing processes, companies typically examine samples of parts for deficiencies. One company that manufactures ballpoint pens selected samples of pens on each of days. The company recorded, for each sample of , the number of defective pens in the sample. Here are their data:

1, 1, 2, 2, 2, 2, 3, 5, 5, 6, 6, 6, 9, 11, 14, 15, 18

Required:
a. Which measures of central tendency do not exist for this data set?
b. Which measures of central tendency would be affected by the change?
c. Which of the following best describes the distribution of the original data?
d. Suppose that, starting with the original data set, the largest measurement were removed. Which measures of central tendency would be changed from those of the original data set?

Answers

Answer 1

Answer:

a. All measures exist

b. The Mean and the mode

c. Positively skewed

d. The mean and the median

Step-by-step explanation:

a. The frequencies of the data are;

1       2

2      4

3       1

5       2

6       3

9        1

11        1

14        1

15       1

18       1

The formula for mode is given as follows;

The mean = 108/17 = 6.35

The median of 1 1 2 2 2 2 3 5 5 6 6 6 9 11 14 15 18 = (n + 1)/2th term = 9th term  

∴ The median = 5

The mode = 3×Median - 2 × Mean = 15 - 2 × 6.35 = 2.29

Hence all exist

The answer is none theses measures

b. Whereby 18 is replaced by 39 the mean will be then be

(108 + 39 - 18)/17 = 7.59

The median, which is the 9th term remain the same;

Hence only the mean and mode will be affected

c. Since more values are concentrated on the left side of the data distribution, the distribution is positively skewed

d. The largest measurement = 18 the 17th term

Removal will give

Mean = (108 - 18)/16 = 5.625 Mean changes

Median = (16 + 1)/2 th term = 8.5th term = 5 The median remains the same

The mode = 3(Mean - Median) changes

Therefore, the mean and the median will be changed.


Related Questions

Terrance is 3.5 years older than Stephanie. Stephanie is 22.5 years old.

Answers

Answer:

Terrance is 25.5

Step-by-step explanation:

Answer:

Hello There. The correct answer is 26

T = 3.5 + 22.5 = 26

Hope It Helps!

Choose the slope and y-intercept that
correspond with the graph.

Answers

Answer:

slope = -3, y intercept = 3

Step-by-step explanation:

The y intercept is where it crosses the y axis

y intercept is 3

The slope is found by taking two points (0,3) and (1,0) and using the slope formula

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

   = (0-3)/(1-0)

   -3/1

  =-3

The model represents x? - 9x + 14
Which is a factor of x2 - 9x + 14?
OX-9
OX-2
O x + 5
+
+
+
+
+
+
O x +7
+
+
+
+
+
+
+

Answers

Answer:

work is shown and pictured

The factor of the equation x² - 9x + 14 is,

⇒ (x - 2)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x² - 9x + 14

Now, We can find the factor of the expression as;

⇒ x² - 9x + 14

⇒ x² - 7x - 2x + 14

⇒ x (x - 7) - 2 (x - 7)

⇒ (x - 7) (x - 2)

Thus, The factor of the equation x² - 9x + 14 is,

⇒ (x - 2)

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an=(−3n+4)n(−4n−8)n In this problem you must attempt to use the Root Test to decide whether the series converges. Compute L=limn→[infinity]|an|−−−√n Enter the numerical value of the limit L if it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV if it diverges but not to infinity or negative infinity. L= Which of the following statements is true? A. The Root Test says that the series converges absolutely. B. The Root Test says that the series diverges. C. The Root Test says that the series converges conditionally. D. The Root Test is inconclusive, but the series converges absolutely by another test or tests. E. The Root Test is inconclusive, but the series diverges by another test or tests. F. The Root Test is inconclusive, but the series converges conditionally by another test or tests. Enter the letter for your choice here:

Answers

Answer:

L = 3/4

Option A. The Root Test says that the series converges absolutely.

Step-by-step explanation:

By using the root test equation given in the question. L = 3/4

Since L < 1, the series converges absolutely.

For clarity of expression, the detailed calculation is contained in the attached file. Check the file attached for the complete calculation to this question.

help ,, I need help with this one ,, i’m soo confused

Answers

The 4th one, 5,3,1 shows a descending graph.

As the x values go up, the y values go down which means the line is higher on the left side than it is on the right side.

The 4th graph would be the correct one

someone answer this

Answers

Answer:

16

Step-by-step explanation:

The right triangle shown is a 30:60:90 triangle.

30:60:90 right triangles have a 1:sqrt(3):2 ratio between their sides.

Since the side opposite from the 30 degree is 8, and x is opposite from the 90 degree angle, 8 and x have a 1:2 ratio, or 8:16.

Can someone please help me on this?

Answers

Answer:

  (0, 3/2)

Step-by-step explanation:

The equation can be put in the form ...

  x^2 = 4py

where p = 3/2.

In this form, the focus is distance "p" from the vertex in the direction the parabola opens.

The vertex is at (0, 0); the parabola opens upward. So, the focus is 3/2 units above the vertex, at ...

  focus = (0, 3/2) . . . . . matches choice A

What is StartFraction 7 Over 9 EndFraction divided by one-third

Answers

Answer:

7/3

Step-by-step explanation:

Write this symbolically as:

  7/9

 -------

   1/3

Invert the denominator fraction and then multiply:

(7/9)(3/1)

Reducing this, we get 7/3

Answer:

the answer as a mixed number is 2 and 1/3  (2 1/3)

and as a normal fraction its 7/3

Please help. I’ll mark you as brainliest if correct!!!!

Answers

Answer:

a= 0

b= [tex]-\frac{\sqrt{42} }{12}[/tex]

Step-by-step explanation:

We can rewrite the expression to be:

[tex]\frac{i\sqrt{7} }{i^{2}\sqrt{24} }[/tex]

We then can cancel out the i and we get

[tex]\frac{\sqrt{7} }{\sqrt{24} i}[/tex]

Can be rewritten as

[tex]\frac{\sqrt{7} }{2\sqrt{6} i}[/tex]

We then rationalize and get

[tex]-\frac{\sqrt{42} }{12} i[/tex]

A cola manufacturer invited consumers to take a blind taste test. Consumers were asked to decide which of two sodas they preferred. The manufacturer was also interested in what factors played a role in taste preferences. Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females. Using the test statistic given in the printout, compute the appropriate p-value for the test.
A. 0.0340
B. 0.0171
C. 04681
D. 0.2119

Answers

Answer: B. 0.0171

Step-by-step explanation:

The question is incomplete. The complete question is:

A cola manufacturer invited consumers to take a blind taste test. Consumers were asked to decide which of two sodas they preferred. The manufacturer was also interested in what factors played a role in taste preferences. Below is a printout comparing the taste preferences of men and women.

HYPOTHESIS: PROP. X = PROP. Y

SAMPLES SELECTED FROM soda(brand1,brand2)

males (sex=0, males) (NUMBER = 115)

females (sex=1, females) (NUMBER = 56)

X = males

Y = females

SAMPLE PROPORTION OF X = 0.422018

SAMPLE SIZE OF X = 109

SAMPLE PROPORTION OF Y = 0.25

SAMPLE SIZE OF Y = 52

PROPORTION X - PROPORTION Y = 0.172018

Z = 2.11825

Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females. Using the test statistic given, for a one-sided test, compute the appropriate p-value for the test.

Solution:

Looking at the statement, "Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females", it shows that it is a right tailed test. Since the test statistic is already known, we would find the probability value for the area above the test statistic or z score from the normal distribution table. From the table,

p value = 0.983

The required p value above the z score is

1 - 0.983 = 0.0171

the appropriate p-value for the test is 0.0171

A way that landowners took advantage of sharecroppers was by:
A. allowing only whites to farm the land.
B. allowing only African Americans to farm the land.
O c. taking their seeds and tools.
D. paying less for crops raised by African Americans.
SUBMIT

Answers

The answer is d . Paying less for crops raised by Africa. Americans

Answer: C. Paying less for crops raised by African-Americans

Step-by-step explanation:

I need help please HELP ME

Answers

Answer:

-3

Step-by-step explanation:

Because -3x-3=9 and 9+8= 17. 17 is greater than 14

a ford truck enters a highway and travles uniform speed of 50 mph. half an hour later a jaguar enters the highway at the same junction and heads in the same direction at 55 mph. how long after the ford enters the highway does the jaguard catch up

Answers

Answer:

5.5 hours

Step-by-step explanation:

We have that the distance is given by:

d = v * t = 50 mph * 1/2 h = 25 miles

The relative speed is given by:

 vr = 55 mph - 50 mph = 5 mph

Now the time required to reach

 would come being:

t = t '+ d / vr

we know that t '= 1/2 h, replacing:

t = 1/2 h + 25 mi / 5 mph

t = 1/2 h + 5 h

t = 5.5 h

Therefore, the required time is 5.5 hours.

HELP!!! PLEASE!!!

The U.S. Federal Income Tax is a progressive tax, which means that higher incomes are taxed at higher percent rates.
The table shows the 2018 Federal Income Tax rates that are applied to the incomes of unmarried individuals.

Tuan is an unmarried man who earned a taxable income of $48$48,000000 during 2018.

Use the table to complete the statements below.

Answers

Answer:

10%$29,175$2,046$6,499.50

Step-by-step explanation:

a) The %tax comes from the "Rate" column on the line "up to $9525". It is 10%.

__

b) Simply compute the difference shown:

  $38,700 -$9,525 = $29,175

__

c) 22% of $9,300 is ...

  0.22 × $9,300 = $2,046

__

d) The total from the three previous calculations is ...

  $952.50 +3,501.00 +2,046.00 = $6,499.50

Answer:

10%

$29,175

$2,046

$6,499.50

got it right on ttm.  

Step-by-step explanation:

just believe me it works

List the steps taken to find the area of a triangle. Find the area of the
criangle.
10 in
17 in

Answers

Answer:

base x height / 2

I'm guessing 10 and 17 are the base and height

10 x 17 = 170

170 / 2 = 85

85 is the area

Hope this helps

Step-by-step explanation:

[tex]\Huge\boxed{85}[/tex]

To find the area of a triangle, we can use the formula: [tex]A=\frac{h_bb}{2}[/tex]

Now, we know the formula, let's do the math.

The base is 10 and the height is 17, so according to the formula, multiply the Base × Height then divide by 2.

10 times 17 is 170. Remember to divide it by 2.

170 divided by 2 is 85.

Hence, your answer is 85 in.

URGENT!! EASY IM DUMB MY LAST QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!
YOU HAVE TO LOOK CLOSLY TO SEE THE NUMBERS ON THE TRIANGLE
IN CASE YOU CANNOT ON THE LEFT IT IS 15CM AND ON THE BOTTOM IT IS 14 CM

Find the unknown side of the triangle below (round to the nearest tenth).
A) 20.5 cm
B) 210.5 cm
C) 5.4 cm
D) 16 cm

Answers

Answer:

A. 20.5

Step-by-step explanation:

We can use the Pythagorean theorem to solve this equation for the missing side length, X.

a^2 + b^2 = c^2

We have a and b, we just need c, the hypotenuse.

14^2 + 15^2 = c^2

196 + 225 = c^2

421 = c^2

Now, we will square both sides:

The answer is about 20.5

Type answer as integer proper fraction or mixed number

Answers

Answer:

[tex]9\dfrac{5}{6}[/tex]

Step-by-step explanation:

[tex]5\dfrac{1}{6}+4\dfrac{2}{3}=\\\\5\dfrac{1}{6}+4\dfrac{4}{6}=\\\\9\dfrac{5}{6}[/tex]

Hope this helps!

What’s the correct answer for this question?

Answers

Answer:

A. Schaid draws a white sock and a green sock. It did not talk about no green sock

Step-by-step explanation:

Brainliest AppreciatEd

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Norma got a score of 84.2; this version has a mean of 67.4 and a standard deviation of 14. Pierce got a score of 276.8; this version has a mean of 264 and a standard deviation of 16. Reyna got a score of 7.62; this version has a mean of 7.3 and a standard deviation of 0.8. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Answers

Answer:

Due to the higher z-score, Norma should be offered the job

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

Whoever has the higher z-score should get the job.

Norma:

Norma got a score of 84.2; this version has a mean of 67.4 and a standard deviation of 14.

This means that [tex]X = 84.2 \mu = 67.4, \sigma = 14[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84.2 - 67.4}{14}[/tex]

[tex]Z = 1.2[/tex]

Pierce:

Pierce got a score of 276.8; this version has a mean of 264 and a standard deviation of 16.

This means that [tex]X = 276.8, \mu = 264, \sigma = 16[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{276.8 - 264}{16}[/tex]

[tex]Z = 0.8[/tex]

Reyna:

Reyna got a score of 7.62; this version has a mean of 7.3 and a standard deviation of 0.8.

This means that [tex]X = 7.62, \mu = 7.3, \sigma = 0.8[/tex]

So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.62 - 7.3}{0.8}[/tex]

[tex]Z = 0.4[/tex]

Due to the higher z-score, Norma should be offered the job

Find the area of a triangle bounded by the y-axis, the line f(x)=9−2/3x, and the line perpendicular to f(x) that passes through the origin. Area =

Answers

Answer:

The area of the triangle is 18.70 sq.units.

Step-by-step explanation:

It is provided that a triangle is bounded by the y-axis, the line [tex]f(x)=y=9-\frac{2}{3}x[/tex].

The slope of the line is: [tex]m_{1}=-\frac{2}{3}[/tex]

A perpendicular line passes through the origin to the line f (x).

The slope of this perpendicular line is:[tex]m_{2}=-\frac{1}{m_{1}}=\frac{3}{2}[/tex]

The equation of perpendicular line passing through origin is:

[tex]y=\frac{3}{2}x[/tex]

Compute the intersecting point between the lines as follows:

[tex]y=9-\frac{2}{3}x\\\\\frac{3}{2}x=9-\frac{2}{3}x\\\\\frac{3}{2}x+\frac{2}{3}x=9\\\\\frac{13}{6}x=9\\\\x=\frac{54}{13}[/tex]

The value of y is:

[tex]y=\frac{3}{2}x=\frac{3}{2}\times\frac{54}{13}=\frac{81}{13}[/tex]

The intersecting point is [tex](\frac{54}{13},\ \frac{81}{13})[/tex].

The y-intercept of the line f (x) is, 9, i.e. the point is (0, 9).

So, the triangle is  bounded by the points:

(0, 0), (0, 9) and [tex](\frac{54}{13},\ \frac{81}{13})[/tex]

Consider the diagram attached.

Compute the area of the triangle as follows:

[tex]\text{Area}=\frac{1}{2}\times 9\times \frac{54}{13}=18.69231\approx 18.70[/tex]

Thus, the area of the triangle is 18.70 sq.units.

What is the value of x?

Answers

Answer:

x = 22

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the interior angles

6x+1 = 79+ 2x+10

Combine like terms

6x+1 = 2x+89

Subtract 2x from each side

4x+1 = 89

Subtract 1 from each side

4x = 88

Divide by 4

4x/4 = 88/4

x = 22

Answer:

The answer is

Step-by-step explanation:

We can cross out A. So it has to be either B, C, or D.

Solve the equation. 3= x/3.3 what is x=

Answers

Answer:

9.9

Step-by-step explanation:

remember your distribution rules.

x/3.3=3 make sure x is by itself. so take 3*3.3

When you have x divided by a number equaling a number take the number it equals to and multiply by the number that x is being divided by.

3=x/3.3

move 3.3 by multiplying it by 3 which gives you 9.9.

The solution of x in equation 3 = x / 3.3 is,

⇒ x = 9.9

We have to given that;

Expression is,

⇒3 = x / 3.3

Now, We can simplify the equation for x as;

⇒ 3 = x / 3.3

Multiply by 3.3 both side,

⇒ 3 × 3.3 = x

⇒ 9.9 = x

⇒ x = 9.9

Thus, Solution is,

⇒ x = 9.9

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What is 1.036 that add up to 4

Answers

Answer:

2.964

Step-by-step explanation:

Answer 2.964

Explanation

It has been suggested that night shift-workers show more variability in their output levels than day workers. Below, you are given the results of two independent random samples.

Night Shift (N) Day Shift (D)
Sample Size 9 8
Sample Mean 520 540
Sample Variance 38 20

Required:

a. At 95% confident level, what is the critical value?
b. State the null and alternative hypotheses to be tested.
c. Compute the test statistic.
d. Determine the p-value.

Answers

Answer:

Null hypotheses = H₀ = σ₁² ≤ σ₂²

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic = 1.9

p-value = 0.206

Since the p-value is greater than α therefore, we cannot reject the null hypothesis.

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

Step-by-step explanation:

Let σ₁² denotes the variance of night shift-workers

Let σ₂² denotes the variance of day shift-workers

State the null and alternative hypotheses:

The null hypothesis assumes that the variance of night shift-workers is equal to or less than day-shift workers.

Null hypotheses = H₀ = σ₁² ≤ σ₂²

The alternate hypothesis assumes that the variance of night shift-workers is more than day-shift workers.

Alternative hypotheses = Ha = σ₁² > σ₂²

Test statistic:

The test statistic or also called F-value is calculated using

Test statistic = Larger sample variance/Smaller sample variance

The larger sample variance is σ₁² = 38

The smaller sample variance is σ₂² = 20

Test statistic = σ₁²/σ₂²

Test statistic = 38/20

Test statistic = 1.9

p-value:

The degree of freedom corresponding to night shift workers is given by

df₁ = n - 1

df₁ = 9 - 1

df₁ = 8

The degree of freedom corresponding to day shift workers is given by

df₂ = n - 1

df₂ = 8 - 1

df₂ = 7

We can find out the p-value using F-table or by using Excel.

Using Excel to find out the p-value,

p-value = FDIST(F-value, df₁, df₂)

p-value = FDIST(1.9, 8, 7)

p-value = 0.206

Conclusion:

p-value > α    

0.206 > 0.05   ( α = 1 - 0.95 = 0.05)

Since the p-value is greater than α therefore, we cannot reject the null hypothesis corresponding to a confidence level of 95%

So we can conclude that the night shift workers don't show more variability in their output levels than day workers.

Suppose a county’s population can be approximated with the function () = 34(1.00804) where is the number of years since 2000, and is measured in millions of citizens.

Answers

Answer:

Population = 34.27336

Step-by-step explanation:

Given:

Population function (t) = 34(1.00804)^t

Number of year = 2000

Find:

Number of citizen in year 2000

Computation:

We know that, base year is 2000

So, t = 1

Population function (t) = 34(1.00804)^t

Population function (1) = 34(1.00804)^1

Population = 34(1.00804)

Population = 34.27336

Therefore, Population is 34.273636 million

Which of the following is an arithmetic sequence?
2.4.8. 16.
2.4.-6.8.
-8, -6,-4,-2

Answers

The first one...........

Answer:

-8,-6,-4,-2 is an Arithmetic sequence, because there common difference is 2.

An individual who has automobile insurance from acertain company is randomly selected. Let Y be thenumber of moving violations for which the individualwas cited during the last 3 years. The pmf of Y is y p(y) 0 0.6 1 0.25 2 0.10 3 0.05 Suppose an individual with Y violations incurs a surcharge of $ 100 Y squared. Calculate the expected amount of the surcharge.

Answers

Answer:

[tex] E(100 Y^2) =100 E(Y^2)[/tex]

And we have that :

[tex] E(Y^2) =\sum_{i=1}^n X^2_i P(X_i)[/tex]

And replacing we got:

[tex] E(Y^2) =0^2 *0.6 + 1^2 *0.25 +2^2*0.10 +3^2 *0.05 = 1.1[/tex]

And finally we have:

[tex] E(100 Y^2) =100 *1.1 = 110[/tex]

Step-by-step explanation:

For this case we have the following probability masss function given:

Y         0           1              2             3

p(Y)    0.6        0.25      0.10         0.05

And we can define the surcharge with this expression [tex] 100Y^2[/tex]

We want to find the expected value for the last expression and we can do it on this way:

[tex] E(100 Y^2) =100 E(Y^2)[/tex]

And we have that :

[tex] E(Y^2) =\sum_{i=1}^n X^2_i P(X_i)[/tex]

And replacing we got:

[tex] E(Y^2) =0^2 *0.6 + 1^2 *0.25 +2^2*0.10 +3^2 *0.05 = 1.1[/tex]

And finally we have:

[tex] E(100 Y^2) =100 *1.1 = 110[/tex]

What postulate would justify the following statement?
If D is between A and B, than AD+DB=AB

Answers

Answer:

A, D and B must be in a straight line.

Step-by-step explanation:

If D is between A and B, than AD+DB=AB

This would mean A, D and B would be in a straight line.

A,d and be must be in a straight line

What’s the correct answer for this question?

Answers

Answer:

C.

Step-by-step explanation:

Diameter = 11 inches.

Radius = D/2 = 5.5 inches

Volume = 4/3πr³

= 4/3(3.14)(5.5)³

= 696.6 in.³

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

g(x)= 1/4 |x-2| + 1

Step-by-step explanation:

line:

g(x)

points on same line:

(2, 1) and (6, 2)

slope based on the points

m= (2-1)/(6-2)= 1/4

And the line is moved to the right by 2 units:

So the function becomes:

g(x)=  1/4|x-2|

Considering movement up by 1 unit as well:

g(x)= 1/4 |x-2| + 1

This is the final of equation for the line.

Other Questions
What did the Reconstruction Acts of 1867 accomplish? porrr favoooooorrr! :(( Which expression is equivalent to (9x + 5y)?a) 9x + 45xy + 5y b) 18x + 45xy + 10y c) 45x + 45xy + 45yd) 81x + 90xy + 25y e) 0 Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct? Me pueden ayudar en este problema de potencia antonio tiene3 cajas , en cada caja hay 3 botones que contienen 3 lapices cuantos lapices habra en total PLZ HELP QUICK PLZFind the arc length of the semicircle.Either enter an exact answer in terms of pi or use 3.143.143, point, 14 for pi and enter your answer as a decimal. True or False: The Land Law of 1851 caused many Mexican-Americans to lost their land in CalifomiaO TrueFalse What is the companys financial position? Please refer to the income statement and balance sheet for the Exceptional Service Grading Company available here. Using the learning resources provided in the Reading Assignment, perform a financial ratio analysis of the company using the following ratios: Gross profit margin Current ratio Debt ratio Describe the impact of the Civilian Conservation Corps in Texas during the Great Depression in the 1930s. (Site 2) Aston, a tenant in Jackie's apartment, had repeatedly complained about the leaky faucets in the apartment. However, Jackie was not interested in doing anything about it. Under the landlord and tenant law, what remedies did Aston have?a. To terminate the lease, then seek damages or rent adjustment.b. To seek constructive eviction.c. To obtain a court order for quiet enjoyment.d. To obtain the doctrine of caveat emptor under the common law.e. None, because she was on a periodical tenancy. pls answer for brainliest It would be expected that someone who participated in a learned optimism workshop would In the united states, about ____ percent of children saw a dentist for preventive care in the previous year. Which relational dialectic is causing tension in the following scenario?John and Jake are identical twins who enjoy most of the same activities and are best friends.But Jake recently asked their parents if he could have his own room instead of sharing withJohn Which numbers are solutions of the inequality below? (Select all that apply.)x 2 < 8a) 6b) 6c) 4d) 8 Which of the following statements is true of the Alien and Sedition Acts?They were designed to keep immigrants and the French in power.They encouraged Americans to speak out against the government.They were supported by Federalists and not by Democratic-Republicans. Are these rates equivalent?25 minutes for 3$1 hour for 6$ The Falkland Islands are an overseas territory of the United Kingdom that also is claimed by __________. A. Chile B. New Zealand C. Australia D. Argentina Please select the best answer from the choices provided A B C D The cost of a hall rental for a wedding is $500. Each meal at the wedding will cost an additional $45.50 a) Write an algebraic expression equation for the total cost of the wedding. b) Calculate how many people attended the wedding if the wedding cost totalled $3912.50. Find the number missing from the following equivalent fractions 20/35=4/?