You have been given the following set of data: 1, 2, 1, 3, 2, 1, 9. Which of the following is the better measure of central tendency for this data set? range mode variance median er know

Answers

Answer 1

the better measure of central tendency for this data set is the


Related Questions

Which is the image of vertex T after the hexagon is rotated 180 degreesabout the origin?

Which is the image of vertex T after the hexagon is rotated 180 degreesabout the origin?

Answers

Answer:

Image of vertex T: (5,2)

Step-by-step explanation:

It will be rotated 180 degrees about the origin. This means that the x-value of T will stay the same, while the y-value will be the same distance as now, just in a different direction.

Current position: -2

Distance from the origin: |-2 + 0| = 2

New coordenate: 0 + 2 = 2

Current value of x: 5

Image of vertex T: (5,2)

Does removing an outlier increase standard deviation?

Answers

Yes, If there are any outliers in the data set, the standard deviation will be large since the deviation from the mean will have increased. Therefore, if the outliers are eliminated, the standard deviation will be reduced, probably reflecting the true features of the population.

The impact on the standard deviation increases with the outlier's extremeness. Outliers make your data more variable, which reduces statistical power. Therefore, eliminating outliers can make your findings statistically significant. A removal of an outlier will have an impact on the mean. The standard deviation will decrease if the outlier was larger than the mean.

The standard deviation will increase if the outlier was less extreme than the mean. It's best to get rid of outliers only when there's a good cause to. Some outliers in your dataset represent normal population variance and ought to be left alone. They are referred to as real outliers.

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HURRY!!! Find a unit rate: You bought 10 pounds of potatoes for $4

Answers

Answer:

Each potato is 2.50.

Step-by-step explanation:

To find the unit rate you divide :) In this case, it would be the 10 pounds of potatos divided by 4 which gives you 2.50 so each potato is 2.50.

Hope this helps!

When you buy 10 pounds of potatoes for $4 then the unit rate is $0.4

What is Unit rate?

A unit rate means a rate for one of something.

What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

Cost of 10 pounds of potato = $4

Cost of 1 pounds of potato = \(\frac{4}{10}\) = $0.4

Therefore unit rate is $0.4

Hence, When you buy 10 pounds of potatoes for $4 then the unit rate is $0.4

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Steve says to find the difference in temperature between 7 AM and
12 PM Wednesday, he can use a number line. He says because one
temperature is negative and the other is positive, he can add together their
distances from 0.
Kelly says that she can find the change by subtracting -5.1 from the temperature
at 12 PM on Wednesday.
Who is correct? Use the drop-down menus to explain your reasoning and find the
change in temperature.
and the distance from 0 to the Wednesday 12 PM temperature is 2.5

Steve says to find the difference in temperature between 7 AM and12 PM Wednesday, he can use a number

Answers

Steve is correct. Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0.

By using a number line, Steve can find the difference in temperature between 7 AM and 12 PM on Wednesday by adding the distances from 0. One temperature is negative and the other is positive, but by adding their distances, he can find the difference. Kelly's method of subtracting -5.1 from the temperature at 12 PM on Wednesday is not necessarily incorrect, but it does not give the exact difference in temperature between the two times. Therefore, using Steve's method, the change in temperature would be the sum of the distance from 0 to the temperature at 7 AM (which is 2.5) and the distance from 0 to the temperature at 12 PM (which is also 2.5), resulting in a difference of 5 degrees.

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Express 3,210,000 in scientific notation

Answers

3.21 x 10 ^6

Bc you have to move the decimal over 6 places
Hope this helps!

Answer:

3.21 * \(10^{6}\)

1. This table shows the input and output values for an exponential function f(x).

What is the ratio of outputs for any two inputs that are one value apart?




4

−12

2

−2
2. The table represents an exponential function.

What is the ratio of outputs for any two inputs that are two values apart?

Divide the larger output by the smaller output.



Enter your answer, as a decimal to the nearest hundredth, in the box.



3. Which situations can be represented by an exponential function?

Select each correct answer.




The value of a motorcycle decreases by 12% each year.

In a structure made of soup cans, each row has 6 more cans than the previous row.

Every year, the number of online subscribers to a service is 4 times what it was the previous year.

A doctor's office accepts 20 new patients each month.

1. This table shows the input and output values for an exponential function f(x).What is the ratio of
1. This table shows the input and output values for an exponential function f(x).What is the ratio of

Answers

Answer:

Question 1) Is option C: 2. (Question 2) The correct answer is 1.09 for the K12 program. Question 3) Option A: The value of a motorcycle decreases by 12% each year. (Option C) Every year, the number of online subscribers to a service is 4 times what it was the previous year.

1. This table shows the input and output values for an exponential function f(x).What is the ratio of

The ratio of outputs for any two inputs that are one value apart is 4 thus option (A) is correct. The ratio of outputs for any two inputs that are two values apart is 1/8. The situation in option (3) represents the exponential function.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given table,

The ratio of outputs for any two inputs that are one value apart = (-1/2)/(-1/8) = 4

The ratio of outputs for any two inputs that are two values apart = (-1/8)/(-1) = 1/8

Every year, the number of online subscribers to a service is 4 times what it was the previous year's exponential function with a 4^x exponent.

Hence "The ratio of outputs for any two inputs that are one value apart is 4. The ratio of outputs for any two inputs that are two values apart is 1/8 and the third statement shows exponential function".

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Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .

Answers

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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will give brainliest need quickly though

will give brainliest need quickly though

Answers

Answer:

just use the calculator

Step-by-step explanation:

Please help questions is down below.
Please answer all!
No bots pls!!!!!! Ill give brain thing

Please help questions is down below. Please answer all!No bots pls!!!!!! Ill give brain thing
Please help questions is down below. Please answer all!No bots pls!!!!!! Ill give brain thing

Answers

Question 1: 4/6
Question 2: 19/24 (not completely sure)
Question 3: 11/21

What is the area of the square that measures 3.1 m on each side

Answers

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Ms. Russell has 31 students in her class. There are 14 boys and 17 girls. What fraction represents the number of girls in her class.

Answers

31 students total
14 boys
17 girls

17/31 girls fraction

Which expression is equivalent to 36 : 3+3?
O 22:33
o 22 +3.3
O 3.22 : 3
O 3-22 + 3

Answers

3.22 : 3 should be the correct answer


Last night, Hailey spent 1 2/5 hours on her math
homework, then 45 minutes on her science
homework. What is the total time she spent doing her
math and science homework? Write your answer in a
complete sentence.

Answers

Answer:

a = 2 hours and 9 minutes

Explanation:

(using fractions)

45 minutes + 1 2/5 hours = 3/4 hours + 7/5 hours = 15/20 + 28/20 = 43/20 = 2 3/20 = 2 9 /60 = 2 hours 9 minutes.

(using decimals)

45 minutes + 1 2/5 hours =

0.75 hours + 1.4 hours = 2.15 hours = 2 hours 9 minutes.

since .15 × 60 = 9 .

Also keep in mind that there are 60 minutes in an hour.

Answer:2 3/20

Step-by-step explanation:

1 2/5 + 45(3/4)

=2 3/20

a sales manager analyzed the sales, in dollars, y, of snow shovels compared to the outside temperature, in degrees fahrenheit, x. the manager calculated the correlation coefficient of r

Answers

The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.

The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.

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Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
The question is on the screenshot.

RULE 1: Do not answer just for points because that's just mean

Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.The question

Answers

Answer:

i know this isnt suppose to be here or any of that but this needs to be stop any where...ok now that i have your attention everyone needs to know this people all over the world are burning bibles LETS STOP THIS because that is so disrepecful that people are doing that to the bible and thats hurting jesus and gods heart LETS STOP THIS BURNING BIBLE STUFF pls copy and paste this and share the word so we can stop this.

Step-by-step explanation:

distancia entre (-10, -9) y (-17, -12)

Answers

Answer:

√58 or 7.615773

Step-by-step explanation:

\(\sqrt{(-12-(-9)^2 +(-17-(-10)^2} = \sqrt{(-12+9)^2+(-17+10)^2} = \sqrt{(-3)^2+(-7)^2} = \sqrt{9+49} = \sqrt{58}\)

The two-way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both.

A 4-column table with 3 rows. The first column has no label with entries swimming lessons, no swimming lessons, total. The second column is labeled camp with entries 42, 18, 60. The third column is labeled no camp with entries 32, 4, 36. The fourth column is labeled total with entries 74, 22, 96.

Which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? Round the answer to the nearest percent.

4%
19%
33%
44%

Answers

The joint relative frequency for school children who plan to attend camp and have swimming lesson is 44%.

The correct option to the given question is option d.

We are required to find the joint relative frequency for school children who plan to attend camp and have swimming lessons, rounded to the nearest percent.

To find the joint relative frequency, we use the formula as follows:

Joint relative frequency = frequency of interest / total frequency

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 42 / 96

(As we are looking for the students who plan to attend camp and have swimming lessons, we are interested in the first column of the table and the entry at the intersection of the first row and second column.)

Joint relative frequency for school children who plan to attend camp and have swimming lessons = 0.4375

Joint relative frequency for school children who plan to attend camp and have swimming lessons (rounded to the nearest percent) = 44%(option d).

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Work out the equation of the line which has a gradient of -2 and passes through the point (4, 8).​

Answers

Answer:

y = -2x + 16.

Step-by-step explanation:

We are given the slope and a point on the line, so

we use the point-slope form of a straight line:

y - y1 = m(x - x1)

Here gradient m = -2, x1 = 4 and y1 = 8 , so we have:

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16.

Which of the following is in order from largest to smallest?
0.4, 151, 1-131
1-131, 0, 4, 151
1-131, 151, 4,0
151.4, 0.1-131

Answers

Answer: 151.4, 0.1-131

Step-by-step explanation:

151.4,0.1-131 is correct because 151 is the greatest

Find the point on the y-axis that is 7 units from the point (−7, −5).

Answers

The point which is on the y-axis and is the y axis and is 7 units from the point (-7, -5) is;

What is the point on the y-axis that is 7 units from the point (−7, −5)?

Since the point is on the y-axis, it follows that it's x-coordinate is zero and hence; the point is; (0, y).

The distance is therefore 7 units and hence;

7² = (-7-0)² + (y - (-5))²

49 -49 = (y +5)²

0 = y +5

y = -5

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∠ABC and ∠CBD form a linear pair. If m∠ABC = 3x + 20 and m∠CBD = x + 32, find the value of x. Enter only a number.

Answers

∠ABC + ∠CBD = 180° (linear pair)

3x + 20 + x + 32 = 180

4x + 52 = 180

4x = 180 - 52

4x = 128

x = 128/4

x = 32.

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Please answer for 20 points

Please answer for 20 points

Answers

Answer:

-by-step explanation:

The result:

1. 1 3/4 = 7/

4

= 1 3/

4

= 1.75

2. is 4

Greg wants to buy a drum set he saw at the market. It costs $250. Greg has $123
How much more does he need? Type your answer in the box.

Answers

The amount Greg needed more to balance the cost of drum set if it cost $250 and he has $123 is $127

How to solve equation?Total cost of drum set = $250Amount with Greg = $123Amount needed = m

Total cost = Available amount + needed amount

250 = 123 + m

subtract 123 from both sides

250 - 123 = m

127 = m

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A line has a slope of 0 and includes the points (3, t) and (5, -7). What is the value of t?
t =

Answers

Answer:

-7

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the value of t, we can use the formula for the slope of a line:

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

Given that the slope of the line is 0, we have:

0 = (-7 - t) / (5 - 3)

To solve for t, we can cross-multiply:

0 * (5 - 3) = -7 - t

0 = -7 - t

To isolate t, we can add 7 to both sides:

7 = -t

Dividing both sides by -1, we get:

t = -7

Therefore, the value of t is -7.

6. Journalise the following transactions
1. Bricks for Rs 60,000 and timber for Rs 35,000 purchased for
the construction of building. The payment was made by cheque.
2. Placed in fixed deposit account at bank by transfer from current
account Rs 13,000.
3. Appointed Mr. S.N. Rao as Accountant at Rs 300 p.m. and
Received Rs 1000 as security Deposit at 5% p.a. interest.
4. Sold goods to shruti for Rs 80,000 at 15% trade discount and
4% cash discount. Received 75% amount immediately through a
cheque.
5. Purchased goods from Richa for Rs 60,000 at 10% trade
discount and 5% cash discount. 60% amount paid by cheque
immediately.
6.
On 18th jan,Sold goods to shilpa at the list price of Rs 50,000
20% trade discount and 4% cash discount if the payment is made
within 7 days. 75% payment is received by cheque on Jan 23rd.
7. On 25th jan, sold goods to garima for Rs 1,00,000 allowed her
20% trade discount and 5% cash discount if the payment is made
within 15 days. She paid 1/4th of the amount by cheque on Feb 5th
and 60% of the remainder on 15th in cash.
8. Purchased land for Rs 2,00,000 and paid 1% as brokerage and
Rs 15,000 as registration charges on it. Entire payment is made by
cheque.
9. Goods worth Rs 25,000 and cash Rs 40,000 were taken away
by the proprietor for his personal use.
10. Sold goods costing Rs 1,20,000 to charu at a profit of 33% 3 %
on cost less 15% trade discount.
9
11. Paid rent of building Rs 60,000 by cheque. Half the building is
used by the proprietor for residential purpose.
12. Sold goods costing Rs 20,000 to sunil at a profit of 20% on
sales less 20% trade discount .
13. Purchased goods for Rs 1000 from nanda and supplied it to
helen for Rs 1300. Helen returned goods worth Rs 390, which in
turn were returned to nanda.
14. Received invoice at 10% trade discount from rohit and sons
and supplied these goods to madan, listed at Rs 3000.

Answers

1.Bricks and timber purchased for construction. (Debit: Bricks - Rs 60,000, Debit: Timber - Rs 35,000, Credit: Bank - Rs 95,000)

2.Transfer of Rs 13,000 to fixed deposit account. (Debit: Fixed Deposit - Rs 13,000, Credit: Current Account - Rs 13,000)

3.Appointment of Mr. S.N. Rao as Accountant. (Debit: Salary Expense - Rs 300, Debit: Security Deposit - Rs 1,000, Credit: Accountant - Rs 300)

4.Goods sold to Shruti with discounts. (Debit: Accounts Receivable - Shruti - Rs 80,000, Credit: Sales - Rs 80,000)

5.Goods purchased from Richa with discounts. (Debit: Purchases - Rs 60,000, Credit: Accounts Payable - Richa - Rs 60,000)

6.Goods sold to Shilpa with discounts and received payment. (Debit: Accounts Receivable - Shilpa - Rs 50,000, Credit: Sales - Rs 50,000)

7.Goods sold to Garima with discounts and received partial payment. (Debit: Accounts Receivable - Garima - Rs 1,00,000, Credit: Sales - Rs 1,00,000)

8.Purchase of land with additional charges. (Debit: Land - Rs 2,00,000, Debit: Brokerage Expense - Rs 2,000, Debit: Registration Charges - Rs 15,000, Credit: Bank - Rs 2,17,000)

9.Proprietor took goods and cash for personal use. (Debit: Proprietor's Drawings - Rs 65,000, Credit: Goods - Rs 25,000, Credit: Cash - Rs 40,000)

10.Goods sold to Charu with profit and discount. (Debit: Accounts Receivable - Charu - Rs 1,20,000, Credit: Sales - Rs 1,20,000)

11.Rent paid for the building. (Debit: Rent Expense - Rs 60,000, Credit: Bank - Rs 60,000)

12.Goods sold to Sunil with profit and discount. (Debit: Accounts Receivable - Sunil - Rs 24,000, Credit: Sales - Rs 24,000)

13.Purchased goods from Nanda and supplied to Helen. (Debit: Purchases - Rs 1,000, Debit: Accounts Payable - Nanda - Rs 1,000, Credit: Accounts Receivable - Helen - Rs 1,300, Credit: Sales - Rs 1,300)

14.Purchased goods from Rohit and Sons and supplied to Madan. (Debit: Purchases - Rs 2,700, Credit: Accounts Payable - Rohit and Sons - Rs 2,700, Debit: Accounts Receivable - Madan - Rs 3,000, Credit: Sales - Rs 3,000)

Here are the journal entries for the given transactions:

1. Bricks and timber purchased for construction:

Debit: Bricks (Asset) - Rs 60,000

Debit: Timber (Asset) - Rs 35,000

Credit: Bank (Liability) - Rs 95,000

2. Transfer to fixed deposit account:

Debit: Fixed Deposit (Asset) - Rs 13,000

Credit: Current Account (Asset) - Rs 13,000

3. Appointment of Mr. S.N. Rao as Accountant:

Debit: Salary Expense (Expense) - Rs 300

Debit: Security Deposit (Asset) - Rs 1,000

Credit: Accountant (Liability) - Rs 300

4. Goods sold to Shruti:

Debit: Accounts Receivable - Shruti (Asset) - Rs 80,000

Credit: Sales (Income) - Rs 80,000

5. Goods purchased from Richa:

Debit: Purchases (Expense) - Rs 60,000

Credit: Accounts Payable - Richa (Liability) - Rs 60,000

6. Goods sold to Shilpa:

Debit: Accounts Receivable - Shilpa (Asset) - Rs 50,000

Credit: Sales (Income) - Rs 50,000

7. Goods sold to Garima:

Debit: Accounts Receivable - Garima (Asset) - Rs 1,00,000

Credit: Sales (Income) - Rs 1,00,000

8.Purchase of land:

Debit: Land (Asset) - Rs 2,00,000

Debit: Brokerage Expense (Expense) - Rs 2,000

Debit: Registration Charges (Expense) - Rs 15,000

Credit: Bank (Liability) - Rs 2,17,000

9. Goods and cash taken away by proprietor:

Debit: Proprietor's Drawings (Equity) - Rs 65,000

Credit: Goods (Asset) - Rs 25,000

Credit: Cash (Asset) - Rs 40,000

10. Goods sold to Charu:

Debit: Accounts Receivable - Charu (Asset) - Rs 1,20,000

Credit: Sales (Income) - Rs 1,20,000

Credit: Cost of Goods Sold (Expense) - Rs 80,000

Credit: Profit on Sales (Income) - Rs 40,000

11. Rent paid for the building:

Debit: Rent Expense (Expense) - Rs 60,000

Credit: Bank (Liability) - Rs 60,000

12. Goods sold to Sunil:

Debit: Accounts Receivable - Sunil (Asset) - Rs 24,000

Credit: Sales (Income) - Rs 24,000

Credit: Cost of Goods Sold (Expense) - Rs 20,000

Credit: Profit on Sales (Income) - Rs 4,000

13. Goods purchased from Nanda and supplied to Helen:

Debit: Purchases (Expense) - Rs 1,000

Debit: Accounts Payable - Nanda (Liability) - Rs 1,000

Credit: Accounts Receivable - Helen (Asset) - Rs 1,300

Credit: Sales (Income) - Rs 1,300

14. Goods received from Rohit and Sons and supplied to Madan:

Debit: Purchases (Expense) - Rs 2,700 (after 10% trade discount)

Credit: Accounts Payable - Rohit and Sons (Liability) - Rs 2,700

Debit: Accounts Receivable - Madan (Asset) - Rs 3,000

Credit: Sales (Income) - Rs 3,000

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given that 16 ounces is 1 pound, how many ounces are in 12.4 pounds.
A. 192
b.198.4
c. 201.6
d. 208

Answers

198.4

Since there is 16 ounces in 1 pound you would do 12.4 x 16 which is equal to 198.4
Hope I helped

Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2

Answers

Answer:

B) 6

Step-by-step explanation:

Let the number be x

Product of 6 and square of number plue 15 : (6x²) + 15

Coefficient of x² = 6

A man gave 90000.00 to his two daughters Jane and Lydia, 75.00 was given to Lydia to pay her load. After sharing the money Lydia has twice as
much as Jane. How much did each received?​

Answers

Jane received $30025 and Lydia received $60000. Let's assume the amount of money that Jane received as x; then Lydia's share of the money will be twice the share of Jane.

We are to find out the share of each person. Here is the solution in steps:Suppose Jane's share was x dollars, and Lydia's share was y dollars.

Given that the total amount given to the two daughters was $90000. Also, given that Lydia paid off her $75, hence she got $75 less than Jane.

Therefore,  y = 2x - 75; this is because we are given that Lydia got twice the share of Jane, and also, she got $75 less than Jane. Hence, x + y = $90000, this is because the total sum of money shared is $90000.

Substituting y = 2x - 75 into x + y = $90000 gives x + (2x - 75) = $90000.

Simplifying, we have :3x = $90000 + 75 = $90075.

Dividing both sides by 3, we get:x = $30025. Hence, Jane's share is $30025 Lydia's share = 2x - 75 = 2($30025) - $75 = $60075 - $75 = $60000.

Therefore, Jane received $30025 and Lydia received $60000.

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Answer correctly for brainlist

Answer correctly for brainlist

Answers

Answer:

Quadrilaterals

Step-by-step explanation:

Determine whether each of the following provides enough information to prove that △SQP ≅ △SQR. Select Yes or No for each statement.

Q is the midpoint of PR.
∠P ≅ ∠R
∠SQP is a right angle, ∠PSQ ≅ ∠RSQ
∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°
∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ

Answers

For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.

What is triangle?

A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.

Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:

Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.

∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.

∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.

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