n the problem of estimating total hospitalization costs for kidney stone patients, suppose Muscat and Dhofar regions were selected as strata because they have very different incident rates for the disease, and the estimates for each region was needed separately. Also, this stratification into geographic regions simplified the sampling procedures. The sample data are summarized as follows: Muscat Dhofar ni=260 12=150 Mean cost ý,=170 RO Mean cost y =125 RO S =3050 $ -2525 G = 745 C-10 RO n 02-680 C2=12 RO A previous study showed the number of kidney stone incidents in the Muscat to be 325 out of 100,000 population and the number in the Dhofar to be 320 out of 100,000. The population of the Muscat was 775,878, and the population of the Dhofar was 249,729, according to the 2010 census. a) Obtain the estimates of N, and N2, the numbers of kidney stone patients expected to be found in the Muscat and Dhofar regions. b) Obtain the average annual cost of hospitalization of the kidney patients of the two region combined with 95% confidence interval and interpret the results. c) Find the appropriate sample size n and stratum sample size ni and n2 for estimating the population mean with a bound on the error of estimation equal to 50 RO, considering proportional allocation.

Answers

Answer 1

The estimated number of kidney stone patients in the Muscat region (N₂) is approximately 447,184, and in the Dhofar region (N₁) is approximately 128,694.

Given,

Estimation of total hospitalization costs for kidney stone patients .

Here,

To obtain the estimates of N and N, the numbers of kidney stone patients expected to be found in the Muscat and Dhofar regions, we can use the stratified sampling formula:

Nᵢ = (nᵢ / n) * N,

where:

- Nᵢ is the estimate of the population size in stratum i.

- nᵢ is the sample size in stratum i.

- n is the total sample size (sum of all stratum sample sizes).

- N is the total population size.

Given the information provided, we have the following data:

For Dhofar region:

- n₁ = 260 (sample size)

- N = 249,729 (population size according to the 2010 census)

For Muscat region:

- n₂ = 150 (sample size)

- N = 775,878 (population size according to the 2010 census)

Using the given formula, we can calculate the estimates for each region:

For Dhofar region:

N₁ = (n₁ / n) * N = (260 / (260 + 150)) * 249,729

For Muscat region:

N₂ = (n₂ / n) * N = (150 / (260 + 150)) * 775,878

To obtain the values, let's calculate them:

For Dhofar region:

N₁ = (260 / (260 + 150)) * 249,729 ≈ 128,694

For Muscat region:

N₂ = (150 / (260 + 150)) * 775,878 ≈ 447,184

Therefore, the estimated number of kidney stone patients in the Muscat region (N₂) is approximately 447,184, and in the Dhofar region (N₁) is approximately 128,694.

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Related Questions

Give the similarity ratio for the following figures (small to large).

Answers

Answer: I think the answer would be 1/6

Step-by-step explanation:

If you notice, all of the numbers on the left model are 1/6 less than the one on the left. I don't know what type of answer they are looking for but the one on the left is 1.6 smaller than the one on the right:)

Genoude towing test at the 0.10 vel tance by temperative contested to Put Assure at the comptes were obland de condendy ang simple random samping Test whether PPSample data are 30, 256, 38, 31 (a) Determine the rulanternative hypotheses. Choose the correct answer below OAH, versus H P = 0 OCH PD, versus HDD) OBH PP, VOUS HP) OD HIPP versus HDP (b) The fest statistics found to two decimal places as needed (c) The P values Round to three decimal places as needed) Test meil hypothesis. Choose the correct condusion below OA Roth null hypothesis because there is not suit evidence to conclude that, (b) The test statistic Zo is (Round to two decimal places as needed.) (c) The P-value is (Round to three decimal places as needed.) Test the null hypothesis. Choose the correct conclusion below. O A. Reject the null hypothesis because there is not sufficient evidence to conclude that p, p2. OC. Do not reject the null hypothesis because there is not sufficient evidence to conclude that p, #P2. OD. Reject the null hypothesis because there is sufficient evidence to conclude that p, p2.

Answers

The given problem involves hypothesis testing in statistics. The correct conclusion will depend on whether the null hypothesis is rejected or not.

(a) The null and alternative hypotheses can be determined as follows: OAH (One-sample test for proportion): P = 0 (H0) versus H P ≠ 0 (HA).

(b) The test statistic, denoted as Zo, needs to be computed using the given sample data.

(c) To determine the P-value, the calculated test statistic is compared to the appropriate distribution (e.g., standard normal distribution) based on the chosen significance level.

(d) Based on the P-value and the predetermined significance level, the null hypothesis is either rejected or not rejected. If the P-value is less than the significance level, the null hypothesis is rejected. Otherwise, the null hypothesis is not rejected.

The conclusion will depend on whether the null hypothesis is rejected or not and should be stated accordingly.

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Number of participants = 274 Number of groups = 5 SSD = 1 SSW = 192 What is the mean squares within?

Answers

The mean squares within is 0.7130044843.

The formula to calculate the mean squares within is given below:

Mean squares within (MSW) = SSW / (n - k), where n = Total number of observations, k = Total number of groups.

Here, Number of participants = 274, Number of groups = 5, SSD = 1, SSW = 192.

Now, the value of n and k can be calculated using the formula given below:

n = Number of participants = 274, k = Number of groups = 5.

Let's substitute the values in the formula of mean squares within:

Mean squares within (MSW) = SSW / (n - k)

MSW = 192 / (274 - 5)

MSW = 192 / 269

MSW = 0.7130044843

Hence, the mean squares within is 0.7130044843.

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20 Points!!! Pls help me out with this, and please no links.

Answers

Answer:

7

Step-by-step explanation:

Answer: your answer is B

Step-by-step explanation:

Im so sorry if im wrong, have a good day!

A. 3
B. 10
C. 20
D. 30​

Answers

Answer:

D. 30

Explanation:

292/100×9.9 = 2.92×9.9 = 28.908

30 is closest to 28.908

SQUARE ROOT OF 21316 WITH STEP BY STEP SOLUTION THANKS

Answers

Answer:

146

Step-by-step explanation:

[tex] = \sqrt{21316 } [/tex]

[tex] = \sqrt{4 \times 5329} [/tex]

[tex] = 2 \sqrt{5329} [/tex]

[tex] = 2 \sqrt{73 \times 73} [/tex]

[tex] = 2 \times 73[/tex]

[tex] = 146[/tex]

evaluate each of the following

205 x 195 ​

Answers

Answer:

39,975

Step-by-step explanation:

There u go

Answer:

39,975

Step-by-step explanation:

Caculater

Arrange in ascending order 19,654 67,923 67,397 91,945

Answers

Answer:

19654,67397,67923,91945

Step-by-step explanation:

Ascending order mean arrange the number from smaller value to bigger value

Answer:

19654,67397,67923,91945

plz mark me as brainliest


Prove that in n , a single point {} is a closed
sets
please write down your answer in detail.

Answers

To prove that a single point {a} is a closed set in Rⁿ, we need to show that its complement, denoted as Rⁿ \ {a}, is open.

Let's consider an arbitrary point x in the complement Rⁿ \ {a}. Since x is not equal to a, there exists a positive radius r such that the open ball B(x, r) centered at x with radius r does not contain a.

Now, let's show that B(x, r) is entirely contained within Rⁿ\ {a}. We need to demonstrate that for any point y in B(x, r), y is also in Rⁿ \ {a}.

If y is equal to x, then y is not equal to a since a is excluded from Rⁿ \ {a}. Therefore, y is in Rⁿ\ {a}.

If y is not equal to x, then we can consider the distance between y and a. Since y is in B(x, r), we have:

d(y, x) < r

However, since a is not in B(x, r), we have:

d(a, x) ≥ r

Now, let's consider the distance between y and a:

d(y, a) ≤ d(y, x) + d(x, a) < r + (d(a, x) - r) = d(a, x)

Since d(y, a) is strictly less than d(a, x), it follows that y is not equal to a. Therefore, y is in Rⁿ \ {a}.

This shows that for every point x in Rⁿ \ {a}, there exists an open ball B(x, r) that is entirely contained within Rⁿ \ {a}. Hence, Rⁿ\ {a} is open.

By the definition of a closed set, if the complement of a set is open, then the set itself is closed. Therefore, a single point {a} is a closed set in Rⁿ.

The question should be:

Prove that in Rⁿ , a single point {a} is a closed sets.please write your answer in detail

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The equation below has infinitely many solutions.
-3 (x – 3) – 1 = ax + b
True
False

Answers

Answer:

False

Step-by-step explanation:

Please help Sammy buys light bulbs in pack of 8 for $20. The shipping cost is $10 regardless of the number of packs bought. Billy has only $120 to spend.

Answers

Answer:

5

Step-by-step explanation:

A cylindrical soup can has a diameter of 3 in. and is 6.2 in. tall. Find the volume of the can.

Answers

Answer:

b

Step-by-step explanation:

answer is B, you’re welcome

A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step
— 5х + бу = 41
7x - 6y = -43

Answers

Answer:

6y-6y, cancel it out to find x first.

-5x+6y=41

7x-6y=-43

2x=-2

Step-by-step explanation:

i hope this helps :)

Answer:

Step-by-step explanation:

The first step is to add the 2 equations This will eliminate the y terms  

( + 6y + -6y = 0).

So you are then left with 2x = -2

A cube. Point B is the top right point of the top face. Point A is the bottom left point of the bottom face and point C is the top right point of the bottom face. Diagonals are drawn from B to A and from A to C. Side B C is 10 inches long, and Side A B is StartRoot 300 EndRoot inches long. What is the length of Side A C? 14 in. StartRoot 200 EndRoot in. StartRoot 290 EndRoot in. 20 in.

Answers

Answer:

the answer is b

Step-by-step explanation:

i just did the assignment

Answer:

b

Step-by-step explanation:

For a new study conducted by a fitness magazine, 260 females were randomly selected. For each, the mean daily calorie consumption was calculated for a September-February period. A second sample of 300 females was chosen independently of the first. For each of them, the mean daily calorie consumption was calculated for a March-August period. During the September-February period, participants consumed a mean of 2387.1 calories daily with a standard deviation of 210. During the March-August period, participants consumed a mean of 2412.9 calories daily with a standard deviation of 267.5. The population standard deviations of daily calories consumed for females in the two periods can be estimated using the sample standard deviations, as the samples that were used to compute them were quite large. Construct a 90% confidence interval for μ1−μ2, the difference between the mean daily calorie consumption of μ1 females in September-February and the mean daily calorie consumption of μ2 females in March-August.
Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of formulas.)
What is the lower limit of the 90% confidence interval?
What is the upper limit of the 90% confidence interval?

Answers

the lower limit of the 90% confidence interval is approximately -65.25, and the upper limit is approximately 13.65.

To construct a 90% confidence interval for the difference between the mean daily calorie consumption of females in September-February (μ₁) and the mean daily calorie consumption of females in March-August (μ₂), we can use the formula:

CI = ([tex]\bar{X_1}[/tex] - [tex]\bar{X_2}[/tex]) ± Z * √((s₁² / n₁) + (s₂² / n₂))

Where:

[tex]\bar{X_1}[/tex] and [tex]\bar{X_2}[/tex] are the sample means of calorie consumption for the two periods.

s₁ and s₂ are the sample standard deviations of calorie consumption for the two periods.

n₁ and n₂ are the sample sizes for the two periods.

Z is the z-score corresponding to the desired confidence level.

Given data:

[tex]\bar{X_1}[/tex] = 2387.1 (mean daily calorie consumption for September-February)

[tex]\bar{X_2}[/tex] = 2412.9 (mean daily calorie consumption for March-August)

s₁ = 210 (standard deviation for September-February)

s₂ = 267.5 (standard deviation for March-August)

n₁ = 260 (sample size for September-February)

n₂ = 300 (sample size for March-August)

Confidence level = 90%

First, we need to find the z-score corresponding to a 90% confidence level. The z-score can be found using a z-table or a calculator. For a 90% confidence level, the z-score is approximately 1.645.

Now, we can substitute the values into the formula to calculate the confidence interval:

CI = (2387.1 - 2412.9) ± 1.645 * √((210² / 260) + (267.5² / 300))

Calculating the values inside the square root:

√((210² / 260) + (267.5² / 300)) ≈ √(342.461538 + 238.083333) ≈ √(580.544872) ≈ 24.107

Substituting the values into the formula:

CI = -25.8 ± 1.645 * 24.107

Calculating the limits of the confidence interval:

Lower limit = -25.8 - 1.645 * 24.107 ≈ -65.246

Upper limit = -25.8 + 1.645 * 24.107 ≈ 13.646

Rounding the values to two decimal places:

Lower limit ≈ -65.25

Upper limit ≈ 13.65

Therefore, the lower limit of the 90% confidence interval is approximately -65.25, and the upper limit is approximately 13.65.

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Triangle ABC below has a right angle C and a height CD. (A height in a triangle connects its vertex and the opposite side, and is perpendicular to that side.)



If AC is 3 units long and BC is 4 units long, what is the length of AD?

Answers

can you show the picture please?

Please help me with the question

Answers

Answer:

the tree is 8ft long

Step-by-step explanation:

beans

​​​​If the unit rate is constant, what are the total sales for 12 pounds of asparagus?

Answers

How many r sold per day

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

3.14 units squared

Step-by-step explanation:

A = pi r^2

A = pi (1) ^2

A = pi = 3.14

(Radius = diameter / 2)

Michelle counted 40 green cars and 20 silver cars in the parking lot. If
the number of green cars stays the same, how many more silver cars
would need to be added so the ratio of green cars to silver cars is 1 to 3?

Answers

Answer:

100 more silver cars

Step-by-step explanation:

Right now the ratio of silver cars to green cars is 20:40 or 1:2, but if you add a hundred more silvers cars the ratio would 120:40 or 3:1.

Two sides of a triangle measure 5
units and 3 units. The perimeter
of the triangle is 12 units. What is
the measure of the third side?

Answers

Answer:

4 units

Step-by-step explanation:

5+3=8

12-8=4

A recent Gallup poll found large differences in the type of household chores done by wives and husbands.1 Wives still do most of the indoor household chores. Husbands still tend to do more work outside and with family cars. The simulated data in this problem are based on the results of this poll.

Suppose we wish to demonstrate that there is a difference between the proportions of wives and husbands who do laundry at home. From a random sample of 66 randomly selected wives, we observe 44 who do laundry at home. From a random sample of 46 husbands, we observe 18 who do laundry at home.

Test the claim that the proportion of wives, p1 , who do laundry at home is different from the proportion of husbands, p2 , who do laundry at home. Use a 1% significance level.

Answers

Answer : There is enough evidence to suggest that a higher proportion of wives do laundry at home compared to the proportion of husbands who do laundry at home.

Explanation:

The null hypothesis is that the proportion of wives and husbands who do laundry at home is the same. The alternative hypothesis is that the proportion of wives and husbands who do laundry at home is different.

Mathematically, null and alternative hypotheses are given below.                                                                                                   H0: P1 - P2 = 0H1: P1 - P2 ≠ 0 where P1 is the proportion of wives who do laundry at home and P2 is the proportion of husbands who do laundry at home. Let α = 0.01 be the significance level. Therefore, α/2 = 0.005 and the Zα/2 value for the two-tailed test is ±2.58.

The point estimate of the difference in the proportions is:Point estimate,                                                                                    PE = P1 - P2 = (44/66) - (18/46) = 0.6667 - 0.3913 = 0.2754

The standard error of the difference in the proportions is:                                                                                                                 SE = sqrt{(P1(1 - P1)/n1) + (P2(1 - P2)/n2)} = sqrt{[(44/66)(22/66)/65] + [(18/46)(28/46)/45]} = 0.1033

The test statistic is given by:Z = (PE - 0) / SE = 0.2754 / 0.1033 = 2.6641

Since the absolute value of the test statistic is greater than the Zα/2 value, we reject the null hypothesis and conclude that the proportion of wives who do laundry at home is different from the proportion of husbands who do laundry at home at a 1% significance level. Therefore, there is enough evidence to suggest that a higher proportion of wives do laundry at home compared to the proportion of husbands who do laundry at home.

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What is the slope of the line through the points (-2, -1) and (4, 3)?


2/3


2/5


5/2

Answers

Answer:

The slope is A. 2/3

HOPE THIS HELPS!!!!

Los primeros días de enero, el representante del mercado recibió cierta cantidad de di-

nero, hizo una operación y se dio cuenta que habían pagado 15 personas. ¿Cómo puede

saber la cantidad recibida?

15

425

Answers

El ejercicio completo con las opciones de respuesta está a continuación:

Los primeros días de enero el representante  del mercado recibió cierta cantidad de dinero,hizo una operación y se dio cuenta que habían pagado 15 personas,cómo puede saber la cantidad recibida?

                                           

a.Multiplicando el dividendo por el divisor

b. Sumando el dividendo con el cociente y el residuo

c.Multiplicando el divisor por el cociente y sumando el residuo

d.Multiplicando el dividendo por el cociente y sumando el residuo

Answer:

La opción c es la respuesta correcta

Step-by-step explanation:

El valor de 15 corresponde al cociente es decir al total de personas que pagaron;el ejercicio nos da el valor del divisor que es 425 ; para saber cual es la cantidad exacta recibida debemos multiplicar el divisor por el cociente y si hay residuo sumarlo; el ejercicio nos queda de la siguiente manera:

425 x 15 = 6.375 (la cantidad recibida fue de 6.375)

[tex]\frac{6375}{425}[/tex] = 15 (comprobación de la división para obtener el cociente con valor de 15)

mr. and mrs. simpson went to two movies. the first movie lasted 2 ⅓ hours and the second one lasted 1 ⅘ hours. how much longer was the first than the second movie?

Answers

The first movie was ⅔ hours longer than the second one.

The difference in length between the two movies, we need to subtract the length of the second movie from the first.

we need to convert the mixed numbers to improper fractions to make the subtraction easier.

2 ⅓ hours can be written as 7/3 hours.

1 ⅘ hours can be written as 8/5 hours.

Now, we can subtract them

7/3 - 8/5

we need a common denominator. The least common multiple of 3 and 5 is 15.

(7/3) * (5/5) - (8/5) * (3/3) = 35/15 - 24/15 = 11/15

Therefore, the first movie was 11/15 hours (or approximately 44 minutes) longer than the second one

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Please help me I will mark...BRAINLIEST
I need volume and surface area

Answers

Answer:

1. V=60m³ SA=94m²

2. V=32m³ SA=88m²

3. V=2000mm³ SA=1000mm²

4. SA=376.8cm² V=552.64cm³

5. SA=1130.4cm² V=1356.48mm³

Step-by-step explanation:

1. Volume=5*4*3=60m³

Surface Area=2*(3*4)+2*(5*3)+2*(4*5)=24+30+40=94m²

2. Volume=8*4*1=32cm³

Surface Area=2*(8*1)+2*(8*4)+2*(4*1)=16+64+8=88cm²

3. Volume=10*10*20=2000mm³

Surface Area=2*(10*10)+2*(20*10)+2*(20*10)=200+400+400=1000mm²

4. SA of the cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*4*11)+(2*3.14*16)

=(276.32)+(100.48)=376.8cm²

Volume=hπr²=11*(3.14)*16=552.64cm³

5. SA of cylinder=(2πr*h)+(2*πr²)=(2*(3.14)*12*3)+(2*3.14*144)

=(904.32)+(226.08)=1130.4mm²

Volume=hπr²=3*(3.14)*144=1356.48mm³

can someone answer this one too?

Answers

Answer:

1

Step-by-step explanation:

put x = 3

8(1/2³) = 8/8 = 1

If You Have NO Explanation Than Don't Answer.

Answers

Answer: Option C

Step-by-step explanation:

C because 6+1=1+1+1+1+1+1+1

Answer:

C

Step-by-step explanation:

We want to find which model shows two equal expressions. We know that the value of x is 6. That being said, on the left side of each equation, plug in 6 for every "x" you see. Then, add the values on both sides. If they're equal, that's your answer.

For example:

In choice A, we see two x's, so we plug in 6 for them both and add them. That's 12 on the left side. On the other side of the equation, we have 7 "1" boxes, which simply just means add them, so that's 7 on the other side. 12 does not equal 7, therefore A is not the answer. However, for choice C, we are given x, which we know is 6, and a "1" box, which simply means 6 + 1, which is 7. On the other side of this equation, we have 7 "1" boxes, so that's 7. The equation becomes 7 = 7, which is true, so that is our answer.

Find the radius of convergence, R, of the series. Σ (-7) Vn 00 ya n=1 R= Find the interval, I, of convergence of the series.

Answers

The series converges for x values within the interval (-29/7, -27/7), and the radius of convergence is 1/7.

How do we calculate?

We apply the ratio test to our series:[tex]|7^(^n^+^1^)[/tex] (x + 4)[tex]^(^n^+^1^)^) / √(n+1)] / [( (x +7^n 4))^n\sqrtn]|[/tex]

We take the limit as n approaches infinity:lim(n→∞) |[tex]7(x + 4) / √(n+1)| = |7(x + 4)|[/tex]

For the series to converge, |7(x + 4)| must be less than [tex]1.|7(x + 4)| < 1-1 < 7(x + 4) < 1-1/7 < x + 4 < 1/7-29/7 < x < -27/7[/tex]

In conclusion, the interval of convergence is (-29/7, -27/7), and the radius of convergence is the half-length of the interval, which is 1/7.

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Angela purchased a car using a simple interest loan. The loan had an interest rate of 5% and was for three years. Angela paid $450 in interest. The principal amount of the loan was for $

Answers

Answer:

$3000

Step-by-step explanation:

Given data

Rate=5%

Time=3 years

Simple interest= $450

We know that the expression for simple interest is

SI=PRT/100

Substitute

450=P*5*3/100

cross multiply

P*15= 45000

Divide both sides by 15

P= 45000/15

P=$3000

Hence the principal amount is $3000

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can anyone send me answer pls??? I really really need this please help fastWrite about your favorite subject ( social studies) What type of bill must be introduced in the house ? please someone help me im not so smart especially rn 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