Test for equality of population means against the alternative that the means are different assuming normality, choosing ? 5% and using two samples of sizes 12 and 18, with mean 10 and 14, respectively, and equal standard deviation 3.

Answers

Answer 1

The p-value (0.0208) is less than the significance level (0.05), we reject the null hypothesis. This indicates that there is sufficient evidence to suggest the case.

Null hypothesis (H0): The population means are equal, μ1 = μ2.

Alternative hypothesis (Ha): The population means are different, μ1 ≠ μ2.

Select the significance level (α): In this case, α = 0.05.

Now, The test statistic for a two-sample t-test is given by:

  t = (sample mean 1 - sample mean 2) / √((s1² / n1) + (s2² / n2))

  where s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Here X₁ = 10, X₂ = 14, s= 3, n₁ =12, n₂ = 18

So, t= (10-14) / √(3²/12) + (3²/18) et:

t= (-4)/ √(3/4 + 1/2)

t= -4 / (5/4)

t= -2.7931

Now, degrees of freedom (df):

= (9/12 + 9/18)² / (((9/12)² / 11) + ((9/18)² / 17))

= 25.164

So, the p value will be 0.0208.

As, p-value is less than α (0.0208 < 0.05), we reject the null hypothesis.

Since the p-value (0.0208) is less than the significance level (0.05), we reject the null hypothesis. This indicates that there is sufficient evidence to suggest the case.

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Related Questions

If money in a savings account earned 8% interest per annum, how much nterest would be earned on $150.00 over three years?

Answers

Answer:

$36

Step-by-step explanation:

Given :

Interest rate, r = 8% = 0.08

Principal, P = 150

Time, t = 3 years

Simple interest = (principal * rate * time)

Simple interest = (150 * 0.08 * 3)

Simple interest = $36

help me with the whole problem plssss i do anything plss.

Answers

Answer:

8 people can go

Step-by-step explanation:

Nia increased her class average by 3%. She now has a 92% in her math class.

Answers

Nia's original class average was 89%. After increasing it by 3%, she now has a 92% in her math class.

1. Let's assume Nia's original class average was X.

2. She increased her class average by 3%, which can be represented as X + (3/100)X.

3. According to the question, X + (3/100)X = 92.

4. Simplifying the equation, we have (103/100)X = 92.

5. To find X, we divide both sides of the equation by (103/100): X = (92 * 100) / 103.

6. Calculating the value, X ≈ 89.32.

7. Therefore, Nia's original class average was approximately 89.32%.

8. After increasing it by 3%, her new class average is 89.32% + (3/100) * 89.32% ≈ 92%.

Note: The values have been rounded for simplicity.

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PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object

Answers

Answer: 6773.27

Step-by-step explanation: volume formula for the cone is pie(radius)^2(height/3) just plug in your information into the formula and viola

If the measure of arc KM is 112°, find the measure of arc LM

Answers

The answer is 124
All circles are equal to 380 degrees
You’re alr told that a part of the circle is equal to 112
So you subtract 360-112 which is 248
This means that the rest of the circle (without the zone that KM covers) is 248
As you can see both sides (ML and KL) are equal because they have congruency lines
So both sides have the exact same length
If what’s remaining is 248 and there are 2 equal sides you just have to divide
248/2 and that is 124

a parallelogram has one angle that measures 65 what are the other three angles

Answers

Answer:

Step-by-step explanation:

65,115,115

Consider the sequence of functions fr : [0,1] → R defined recursively by fo(x) = 1, fn(x) = Vxfn-1(x), n > 1. Prove that the sequence converges on [0, 1] and that the convergence is uniform.

Answers

For the sequence of functions fr : [0,1] → R defined recursively by fo(x) = 1, fn(x) = Vxfn-1(x), n > 1, the sequence converges on [0, 1] and the convergence is uniform.

First, we need to show that the sequence is pointwise convergent. To do that, we take an arbitrary x ∈ [0,1] and use induction on n to prove that fn(x) is convergent.

Let A = sup{f1(x), 1}

Since f1(x) = √x ≤ 1, there exists a decreasing sequence (an) such that f1(x) ≤ an ≤ 1 for all n.

Noting that an → √A (since an is decreasing and bounded below), we have:

fn(x) = √x*fn-1(x) ≤ √A * fn-1(x)

Now, by induction, we have:

f2(x) ≤ √A * f1(x) ≤ √A * a1 ≤ √Afn(x) ≤ √A * fn-1(x) ≤ √A * an-1 ≤ A for all n.

So, by the squeeze theorem, fn(x) is convergent and since this holds for all x, the sequence is pointwise convergent.

We need to show that the sequence is uniformly convergent on [0,1].

Let ε > 0 be arbitrary and let N be such that |an - A| < ε/2 for all n > N.

Let M be such that 1/M < ε/2.

We want to show that |fn(x) - A| < ε for all x ∈ [0,1] and all n > N.

If n ≤ N, then we can write:

|fn(x) - A| ≤ |f

n(x) - an| + |an - A| < ε for all x ∈ [0,1].

So, assume n > N. Then we have:

|fn(x) - A| = |fn(x) - an + an - A| ≤ |fn(x) - an| + |an - A| < ε/2 + ε/2 = ε for all x ∈ [0,1] by the definition of N and M.

Therefore, the sequence is uniformly convergent on [0,1].

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Let W = {a + 2x + bx2 € Pz: a, b E R} with the standard operations in P2. Which of the following statements is true? W is not a subspace of P2 because 0 € W. W is a subspace of P2. a The above is true The above is true None of the mentioned O 1+xEW

Answers

The statement "W is a subspace of P2" is true, as W satisfies the conditions for being a subspace: closure under addition and scalar multiplication, and containing the zero vector.

The statement "W is a subspace of P2" is true.

To show that W is a subspace, we need to verify the three conditions for subspace:

W is closed under addition: For any two polynomials p(x) = a + 2x + bx^2 and q(x) = c + 2x + dx^2 in W, their sum p(x) + q(x) = (a + c) + 4x + (b + d)x^2 is also in W. Therefore, W is closed under addition.

W is closed under scalar multiplication: For any polynomial p(x) = a + 2x + bx^2 in W and any scalar k, the scalar multiple kp(x) = ka + 2kx + kbx^2 is also in W. Therefore, W is closed under scalar multiplication.

W contains the zero vector: The zero polynomial 0 = 0 + 0x + 0x^2 is in W since a = b = 0. Therefore, W contains the zero vector.

Since W satisfies all three conditions for subspace, it is indeed a subspace of P2.

Hence, the statement "W is a subspace of P2" is true.

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Please help due two days ago helpp me please Which measure of center is the most appropriate for the data in Table 1 (Height) in Task 1? Give a reason for your answer. calculate the value of the most appropriate center value of the heights.

Answers

Answer:

I think the correct answer is....... The measure of center for table 1 is 61, 62, 58, and 57 inches. The most kids had the same number of inches in this category.

I'm not 100% sure so try at your own risk

Have a great day!

The center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

What is Measures of center?

Measures of center of data set is also "a way of describing data set. The two most widely used measures of the center is mean and median".

What is mean?

Mean is the process of "adding all values and then divided by total number of values".

What is median?

Median is the "process of arranging data value in ascending or descending order and then divided data set into two if 'n' is odd then middle  point is the median or if 'n' is even then sum of two mid value and then divided by two".

What is  Mode?

Mode can be one, "two or more in the given data set. The number or data point which have more frequency is taken as mode".

According to the question,

Measures of center is the most appropriate for the data in Table 1 (Height) in Task 1.

Heights in inches                       Frequency

         55                                             1

          57                                              3

          58                                             3

          59                                              2

          60                                              1

          61                                               3

          62                                              3

          63                                              2

          64                                              2

          65                                              2

          66                                              1

           67                                              1

Total number of frequency = N = 1+3++3+2+1+3+3+2+2+2+1+1 =24. Number of siblings n =12

Mean = ∑(Height of inches × Frequency of height)/Total number of frequency.

= [tex]\frac{(55*1+57*3+58*3+59*2+60*1+61*3+62*3+63*2+64*2+65*1+66*1+67*1)}{24}[/tex]

= [tex]\frac{1399}{24}[/tex]

= 58.29.

Mean of heights of siblings are 58.29

Median of the height of 24 siblings are sum of 61 and 62 divided by 2.

= [tex]\frac{61+62}{2}[/tex]                           [since 'n' is odd]

=61.5.  

Median of the height of 24 siblings are 61.5.

Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

Hence, the center of measures of table 1 height (task1) are Mean of heights of siblings are 58.29. Median of the height of 24 siblings are 61.5. Mode of the height 24 siblings 57,58,61,62 are the heights in inches.

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I'll give you the brainliest

Answers

Answer:

>

Step-by-step explanation:

sqrt{17} > sqrt{11}

Answer: >

Step-by-step explanation: the square root of 17 is going to be larger than the square root of 11. since you add 3 to both equations, that is all you have to worry about.

4x - 2y can be simplified as ____________​

Answers

Answer:

4x - 2y can be simplified as 2(2x - y)

2(2x-y)

2•2x= 4x
2•-y= -2y

The temperature at the beginning of the day was 6 degrees F. The temperature dropped 9 degrees F by the end of the day. What was the temperature at the end of the day?​

Answers


The answer would be -3 degrees because if you have 6 and you minus 9 you will get -3

Temperature is an average measure of the kinetic energy of particles of matter.

Temperature can be in negative degrees.

The temperature at the end of the day is -3°F.

What is temperature?

Temperature is an average measure of the kinetic energy of particles of matter.

The Celsius scale is generally used for measuring most temperatures.

The Fahrenheit (°F) temperature scale is also used.

We have,

The temperature at the beginning of the day = 6°F

The temperature drop by the end of the day = 9°F

Temperature can also be in negative degrees.

The temperature at the end of the day:

= 6°F - 9°F
= -3°F

Thus the temperature at the end of the day is -3°F.

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complete the proof given: AB x BE =CB x BD prove: triangle ABC triangle DBE

Answers

The complete proofs with all the reasons and statements; have been enumerated below

Triangle Proofs

The image showing the given triangle is missing and so i have attached it.

From the attached image, we can deduce that;

Statement 1; AB * BE = CB * BD

Reason 1; Given

Statement 2; CB/BE = AB/BD

Reason 2; Property of Cross Multiplication

Statement 3; ∠ABC ≅ ∠DBE

Reason 3; Vertical Angles

Statement 4; ΔABC ~ ΔDBE

Reason 4; SAS property of similarity

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What is the image of (-9,9) after a dilation by a scale factor of 2 centered at the
origin?

Answers

Answer:

It would be C since a scale factor of 2 makes the original A coordinate of (3,3) times 2 therefore the new coordinates being (6,6)

Step-by-step explanation:

Find the equation of the line pls helppppppp

Answers

Answer:

y=2x+4

Step-by-step explanation:

y=2x+4

Answer:

y = 2x + 4

Step-by-step explanation:

The formula for the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. The y-intercept is where the line passes through the y-axis, which would be (0,4), which is positive. To find the slope, find where the line passes through a point, and then count how many units there are till the next point. For this example, you could start from the y-intercept, (0, 4) and to get to the next point, you will go up 2 units, and the right 1 unit. This means that the slope is 2/1 (because it's rise over run) which is the same as 2. So just plug it into the equation, and you get y = 2x + 4.

I hope this helped! :)

(a) what is the effect on the period of a pendulum if you double its length?

Answers

If we double the length of the pendulum, the period of the pendulum will be approximately 1.4 times longer than it was before. This relationship between the length and period of a pendulum is very important, as it allows us to calculate the length of a pendulum needed to produce a desired period. This relationship is also used in many applications, such as clocks and metronomes.

The period of a pendulum is the time it takes to swing back and forth through one complete cycle. The period of a pendulum is affected by the length of the pendulum, the acceleration due to gravity, and the amplitude of the swing. If the length of a pendulum is doubled, the period of the pendulum will also double. The reason for this is that the period of a pendulum is directly proportional to the square root of its length.

This means that if the length of the pendulum is increased by a factor of 2, the period of the pendulum will increase by a factor of sqrt(2).

Mathematically, this can be expressed as: T = 2π * sqrt(L/g).

Where T is the period of the pendulum, L is the length of the pendulum, and g is the acceleration due to gravity.

If we double the length of the pendulum (L), the equation becomes T = 2π * sqrt(2L/g).

Taking the ratio of the new period to the original period, we get: T_new/T_old = sqrt(2).

Therefore if we double the length of the pendulum, the period of the pendulum will be approximately 1.4 times longer than it was before. This relationship between the length and period of a pendulum is very important, as it allows us to calculate the length of a pendulum needed to produce a desired period. This relationship is also used in many applications, such as clocks and metronomes.

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The last time you bough pizza, 3 pizzdis was enough for 7 people. At that rate, how
many pizzas should you buy for a party for 35 people.

Answers

Answer:

15 pizzas.

Step-by-step explanation:

The rate is 3 pizzas for every 7 people. If there are 35 people at the party (7 times 5), the amount of pizzas you should buy is 15 pizzas (3 times 5). Hope I  explained that well (^^'')

Let D be the region enclosed by the two paraboloids z = 3x2 + + y2 z = 16 – x2 Then the projection of D on the xy-plane is: 2 *-* = 1 = 1 16 = 1 4 16 O This option O This option x None of these 16 4

Answers

The projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2.

To find the projection of the region D onto the xy-plane, we need to determine the intersection curve of the two paraboloids in the xyz-space. Setting the equations of the paraboloids equal to each other, we have:

3x^2 + y^2 = 16 - x^2.

Combining like terms, we get:

4x^2 + y^2 = 16.

This equation represents an ellipse in the xy-plane. To visualize the projection, let's rewrite the equation in terms of standard form:

(x^2)/4 + (y^2)/16 = 1.

Comparing this equation to the standard equation of an ellipse, (x^2)/(a^2) + (y^2)/(b^2) = 1, we can see that the major axis of the ellipse is along the y-axis, with a length of 4, and the minor axis is along the x-axis, with a length of 2.

Therefore, the projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2. The shape of the ellipse will have its major axis along the y-axis and its minor axis along the x-axis.

In summary, the projection of the region D onto the xy-plane is an ellipse centered at the origin, with a major axis length of 4 and a minor axis length of 2.

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Let y+3=xy-6x². Use implicit differentiation to find y' or dy dx

Answers

the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).

We start by differentiating both sides of the equation with respect to x.

For the left-hand side, the derivative of y + 3 with respect to x is simply dy/dx, or y'.

For the right-hand side, we need to apply the product and chain rules.

Differentiating xy with respect to x gives us x(dy/dx) + y.

Differentiating -6x² with respect to x gives us -12x.

Putting it all together, we have y' + 0 = x(dy/dx) + y - 12x.

Rearranging the equation, we get y' = (y - 12x) / (1 - x).

Therefore, the derivative of y with respect to x, or dy/dx, for the given equation is y' = (y - 12x) / (1 - x).

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The National Health Survey uses household interviews to describe the health-related habits of U.S. adults. From these interviews they estimate population parameters associated with behaviors such as alcohol consumption, cigarette smoking, and hours of sleep for all U.S. adults. In the 2005-2007 report, they estimated that 30% of all current smokers started smoking before the age of 16. We randomly select a sample of 100 smokers and calculate the proportion who started smoking before the age of 16.

Answers

Answer: hello your question is incomplete below is the missing part

Based on your simulation, what is the average amount of error you expect to see in the sample proportions in this situation?

answer : 0.0458

Step-by-step explanation:

In 2005 - 2007 : 30% of all current smokers started smoking before the age of 16

n ( sample size ) = 100 smokers

The average amount of error expected can be calculated as

[tex]\sqrt{pq/n}[/tex]  = [tex]\sqrt{0.3*0.7/100}[/tex] = 0.0458

where : p = 0.3

             q = 0.7

              n = 100

Graph the line.
y+4= -1/3(x+5)

Answers

Answer:

graph is shown

Step-by-step explanation:

slope: -1/3

y intercept: (0,-17/3)

Do,k= (0,2) (0,6) the scale factor is
3
0
1/3

Answers

Answer:

Step-by-step explanation:

3

Which of the following functions are of exponential order c? Find c, if the answer is yes. (a) y(t) = 5t? + 24 +1. (b) y(t) = sin(31) (c) y(t) = 42 y(t) = 93 (e) y(t) 12 if t = 3 gift 3 (1) y(t) = coste

Answers

(a) Not of exponential order.

(b) Not of exponential order.

(c) Exponential order with c = 2.

(d) Not of exponential order.

(e) Not of exponential order.

To determine if a function is of exponential order, we need to check if there exist positive constants M and c such that |y(t)| ≤ M[tex]e^{ct}[/tex] for all t ≥ t₀, where t0 is some starting point.

Let's analyze each function:

(a) y(t) = 5t² + 24 + 1

This function is not of exponential order since it contains a quadratic term (t²) and does not satisfy the exponential order condition.

(b) y(t) = sin(3t)

The sine function is periodic and oscillates between -1 and 1. It is not bounded by an exponential function. Therefore, it is not of exponential order.

(c) y(t) = 4[tex]e^{2t}[/tex]

The exponential function [tex]e^{2t}[/tex] grows exponentially as t increases. The constant multiplier 4 does not affect the exponential growth. Therefore, this function is of exponential order with c = 2.

(d) y(t) = [tex]e^{t^{2} }[/tex]

The exponent t² grows faster than any exponential function with a constant base. Therefore, this function is not of exponential order.

(e) y(t) = cost [tex]e^{3t}[/tex]

The exponential function [tex]e^{3t}[/tex] grows exponentially as t increases. However, the cosine function oscillates between -1 and 1, which prevents the overall function from being bounded by an exponential function. Therefore, it is not of exponential order.

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What is the factored form of the expressions 4x2 - 25?

Answers

Answer:

Explanation: Realize that 4x2−25 is a difference of squares. Differences of squares, such as a2−b2 , can be factored into (a+b)(a−b) . Since 4x2=(2x)2 and 25=(5)2 , we can say that 4x2−25=(2x+5)(2x−5)

Step-by-step explanation:

Answer:

(2x + 5)(2x - 5)

Step-by-step explanation:

a² - b² = (a + b)(a - b)

4x² = 2²x²= (2x)²

25= 5* 5 = 5²

4x² - 25 = (2x)² -  5²         {a= 2x  ; b = 5}

             = (2x + 5)(2x - 5)

Move point C and observe how the

angle measures change.

When AC changes,

m_ABC and mŁADC

vand are

to each other.

Answers

Answer:

[tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] will change

[tex]\angle ABC[/tex] equal [tex]\angle ADC[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

What happens when AC changes

(a) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are formed from points A and C. So, a change in AC will result to a change in the measures of [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex].

(b) [tex]\angle ABC[/tex] and [tex]\angle ADC[/tex] are in the same segment, meaning that they will always have the same measure

When rolling a die, calculate the probability as a fraction of rolling a 3. The probability is

Answers

Answer:

1/6

Step-by-step explanation:

there is only one side in which there is 3 out of total six sides so 1/6

Convert the time. Enter your answers in the boxes.

324 minutes =

hours,

minutes

Answers

Answer:

5 hours and 24 minutes

Step-by-step explanation:

sorry if im wrong

Answer:

5.4 hours

Step-by-step explanation:

I'm not 100 percent sure

hope this helped ;)

Suppose a regression was run between y and one x variable. The coefficient of the x variable (slope coefficient) was -0.76. The associated standard error of the slope coefficient was 0.04, and p value of the slope coefficient was 0. The t stat of the slope coefficient is: ________

Answers

The t-statistic of the slope coefficient is -19 is the answer.

Suppose a regression was run between y and one x variable.

The coefficient of the x variable (slope coefficient) was -0.76.

The associated standard error of the slope coefficient was 0.04, and p value of the slope coefficient was 0.

The t stat of the slope coefficient is -19.

To find the t-statistic value, divide the slope coefficient by the standard error.

This is given as t = slope / SE.

We have the values of the slope and the SE in the problem.

Substitute these values to get the t-statistic.t = -0.76 / 0.04 = -19

From this calculation, we can see that the t-statistic of the slope coefficient is -19.

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Please answer this is my last few points

Answers

Answer:

first is some and second is all

Step-by-step explanation:

PLEASE GIVE BRAINLIEST!!!!!!!!!!

Answer:

1. All

2. Some

Step-by-step explanation:

I belive this awnser is correct

I need help with this math promblem will anybody help me

Answers

Answer:

d = 83

Step-by-step explanation:

Answer:

d=83°

Step-by-step explanation:

the sum of the inner angles is equal to 360°

so

127+67+d+d=360

194+2d=360

2d=166

d=83°

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In a monopoly market structure, the firm (the monopolist) part 2 a. sells faulty products. b. gouges the consumer. c. is the whole industry. d. gets unconscionably rich. Joe's lunch at a restaurant cost $18.00 without tax he leaves the server a tip of 14% of the cost of lunch without tax what is the total cost of lunch including tip without tax Complete the table of values y = x2 + 4x - 6 A zoo has 5 Emperor penguins. The Emperor penguins make up 30%, percent of all the penguins at the zoo. How many penguins live at the zoo Where does the pendulum have 100 J of potential energy? match each hypotenuse with the leg that will create a righttriangle What value of x makes this proportion true? x/6=36/24 O A. 8 O B. 9 O C. 18 O D. 7 The price of calculator is increased from R150 to R174.What is the percentage increased Suppose a company is trying to decide whether to increase or decrease its dividend. Which of the following is (are) correct regarding this decision? Choose the best answer. O A. It doesn't matter whether a company increases or decreases its dividend because, according to the dividend-discount model, the benefit from the higher dividend will be offset by a lower future growth rate g, so the stock price will be the same either way. O B. The company should decrease its dividend if doing so will decrease the current stock price. O C. The company should not increase dividends because companies should always reinvest as much as possible. O D. The company should increase its dividend because, according to the dividend-discount model, doing so will always improve the share price. O E. The company should decrease its dividend if the return on new investment opportunities is higher than the cost of capital. O F. All of these answers are correct, at least in most cases. What does an objective focus on?TeachersMaterialFamiliesStudents Which of following behaviors demonstrates the loyalty a broker owes to the seller who is his clientA.A broker tells the buyer that the children of the seller are transferring to a school across townB.broker tells the buyer the seller in term farmer moving to expedite the contractC.a broker doesn't not tell the buyer about seller a pending relocation pays the sellerD.a broker do not tell the buyer about lack roof paid the seller Which of the following two statements is more probable? Explain your reasoning. (i) The collapse of an apartment building somewhere in North America next year, in which more than 100 people die. (ii) A hurricane hitting Florida some time next year, causing the collapse of an apartment building in which more than 100 people die. a complete table, including both the table structure and any data in the table, can be removed from the database by using the sql ________ command. Find the value of x that makes the equation true:2x = 24x = 6x = 4x = 9x = 12 A triangle has one angle that measures 26 degrees, one angle that measures 47 degrees, and one angle that measures 107 degrees.What kind of triangle is it? This question has two parts. First, answer Part 1. Then, answer Part 2.Part 1Which expression does NOT produce the same value for p = 2 as the expression below?2(p 1) A. p + 2 p B. p 2 + p C. 2 + p 2 D. 2p 1Part 2Which expression is equivalent to 2(p 1)? A. p + 2 p B. p 2 + p C. 2 + p 2 D. 2p 1 can anyone help with that At the beginning of Chapter 24, Lee writes, "Immediately thereafter the ladies adjourned for refreshments." This is funny or ironic because it is immediately after _____.Scout threw up on the living room carpetthe ladies have all told about their weight-loss programs and dietsthe black community doesn't have enough food to eatthey heard of disgusting health and living conditions for the "Mrunas" Which of the following are NOT problems of government intervention in the economy? Which of the following is an example of informal slang?A. I'm outraged.B. I am furious.C. He made me angry.D. He dissed me.