Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
The distance is 1,163 miles and the driving is 17 hours and 38 minutes
Answer:
Step-by-step explanation:
17 hours multiplied by 60 (60 seconds in 1 minute) = 1020 minutes + 38 minutes = 1058 minutes.
Miles per hour = distance/time
1163/1058 = 1.10 miles per hour
1 2 Write the equation of each parabola given below. Vertex (-2, 5); focus (-2,-8)
Answer:
Step-by-step explanation:Question Number 15:
The following transactions were completed during May, the second month of the business’s operations:
May
1. Shannon Burns made an additional investment in Dancing Music by depositing $3,000 in Dancing Music’s checking account.
1. Instead of continuing to share office space with a local real estate agency, Shannon decided to rent office space near a local music store. Paid rent for May, $1,600.
1. Paid a premium of $3,360 for a comprehensive insurance policy covering liability, theft, and fire. The policy covers a two-year period.
2. Received $1,200 on account.
3. On behalf of Dancing Music, Shannon signed a contract with a local radio station, KPRG, to provide guest spots for the next three months. The contract requires Dancing Music to provide a guest disc jockey for 80 hours per month for a monthly fee of $2,400. Any additional hours beyond 80 will be billed to KPRG at $40 per hour. In accordance with the contract, Shannon received $4,800 from KPRG as an advance payment for the first two months.
3. Paid $250 on account.
4. Paid an attorney $150 for reviewing the May 3rd contract with KPRG. (Record as Miscellaneous Expense.)
5. Purchased office equipment on account from One-Stop Office Mart, $5,000.
8. Paid for a newspaper advertisement, $200.
11. Received $600 for serving as a disc jockey for a college fraternity party.
13. Paid $500 to a local audio electronics store for rental of digital recording equipment.
14. Paid wages of $1,200 to receptionist and part-time assistant.
16. Received $1,100 for serving as a disc jockey for a wedding reception.
18. Purchased supplies on account, $750.
21. Paid $240 to Rocket Music for use of its current music demos in making various music sets.
22. Paid $500 to a local radio station to advertise the services of Dancing Music twice daily for the remainder of May.
23. Served as disc jockey for a party for $1,560. Received $400, with the remainder due June 4, 2006.
27. Paid electric bill, $560.
28. Paid wages of $1,200 to receptionist and part-time assistant.
29. Paid miscellaneous expenses, $170.
30. Served as a disc jockey for a charity ball for $1,200. Received $600, with the remainder due on June 9, 2006.
31. Received $2,000 for serving as a disc jockey for a party.
31. Paid $600 royalties (music expense) to Federated Clearing for use of various artists’ music during May.
31. Withdrew $2,000 cash from Dancing Music for personal use.
Dancing Music’s chart of accounts and the balance of accounts as of May 1, 2006 (all normal balances), are as follows:
Instructions
1. Enter the May 1, 2006 account balances in the appropriate balance column of a four-column account. Write Balance in the Item column, and place a check mark (✔) in the Posting Reference column. (Hint: Verify the equality of the debit and credit balances in the ledger before proceeding with the next instruction.)
2. Analyze and journalize each transaction in a two-column journal, omitting journal entry explanations.
3. Post the journal to the ledger, extending the account balance to the appropriate balance column after each posting.
4. Prepare a unadjusted trial balance as of May 31, 2006
5. Prepare adjusting journal entries. You will need the following additional accounts:
18 accumulated Depreciation—Office Equipment 22 Wages Payable
57 Insurance Expense 58 Depreciation Expense
The data needed to determine adjustments for the two-month period ending May 31, 2006, are as follows:
a. During May, Dancing Music provided guest disc jockeys for KPRG for a total of 110 hours. For information on the amount of the accrued revenue to be billed to KPRG, see the contract described in the May 3, 2006.
b. Supplies on hand at May 31, $170.
c. The balance of the prepaid insurance account relates to the May 1, 2006.
d. Depreciation of the office equipment is $100.
e. The balance of the unearned revenue account relates to the contract between Dancing Music and KPRG, described in the May 3, 2006.
f. Accrued wages as of May 31, 2006, were $130. Instructions
6. Post the adjusting entries, inserting balances in the accounts affected.
7. Prepare an adjusted trial balance.
8. Prepare a ten-column work sheet.
9. Prepare an income statement, a statement of owner’s equity, and a balance sheet. (Note: Shannon Burns made investments in Dancing Music on April 1 and May 1, 2006.)
10. Journalize and post the closing entries. The income summary account is #33 in the ledger of Dancing Music. Indicate closed accounts by inserting a line in both Balance columns opposite the closing entry.
11. Prepare a post-closing trial balance
Henri paid $10.75 for a calculator, $4.98 for copier paper, and $3.21 for folders. He paid with a $20 bill and got $1.06 in change. Which shows by sung estimation that Bradley’s change is reasonable?
A. Add 11 and 5 and 3 to get $19; $20-$19=$1, which is very close to the amount of change received by Bradley
B. Add 11 and 5 and 4 to get $20; $20-$20=$0, which is very close to the amount of change received by Bradley
C. Add 10 and 4 and 3 to get $17; $20-$17=$3, which is very close to the amount of change received by Bradley
D. Add 10 and 5 and 3 to get $18; $20-$18=$2, which is very close to the amount of change received by Bradley
The option that shows the estimation that Bradley’s change is reasonable is A. Add 11 and 5 and 3 to get $19; $20-$19=$1, which is very close to the amount of change received by Bradley
How to estimate the value?Estimation is the process of determining an estimate or approximation, which is a value that can be used for a specific purpose even when the input data is incomplete, uncertain, or unstable. Nonetheless, the value is usable because it is based on the best available information.
In this situation, Henri paid $10.75 for a calculator, $4.98 for copier paper, and $3.21 for folders. He paid with a $20 bill and got $1.06 in change.
The correct estimation is option A.
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I’ll give BRAINLIEST if correct pls answer need ASAP question is in the photo attached
Answer:
Part A: 2 Part B: 2- and 4-Part C: 8 The graph shows at 8 seconds the slope starts to decrease rapidly. Part D: I believe at 14 seconds the water balloon would be o the ground.
Step-by-step explanation:
3. What is the slope of the following line?
1/2 is the slope of the following when you simplify
H(y) models the leading number of home runs for season y of the National League between the years 2000-2010, according to the table.
Season Player # of Home Runs Team
2000 Sammy Sosa 50 Chicago
2001 Barry Bonds 73 San Francisco
2002 Sammy Sosa 49 Chicago
2003 Jim Thome 47 Philadelphia
2004 Adrian Beltre 48 Los Angeles
2005 Andruw Jones 51 Atlanta
2006 Ryan Howard 58 Philadelphia
2007 Prince Fielder 50 Milwaukee
2008 Ryan Howard 48 Philadelphia
2009 Albert Pujols 47 St. Louis
2010 Albert Pujols 42 St. Louis
Which number type is more appropriate for the domain of H?
The type of number is more appropriate for the domain of H would be;
2000 ≤ x ≤ 2010
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given that H(y) models the leading number of home runs for season y of the National League between the years 2000-2010,
The domain must lie in between 2000 Sammy Sosa 50 Chicago AND 2010 Albert Pujols 42 St. Louis
Then the Integers for as greater than 2000 and less than 2010.
The appropriate for the domain of H is
2000 ≤ x ≤ 2010
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Find the rate of change
1/5
-5
5
-1/5
The rate of change of the table of values is calculated as: A. 1/5.
How to Find the Rate of Change?Given the table above, the rate of change can be calculated using the formula below:
Rate of change (m) = change in y / change in x.
Using two pairs of values from the table, (10, 2) and (20, 4):
Change in y = 4 - 2 = 2
Change in x = 20 - 10 = 10
Therefore:
Rate of change (m) = 2/10
m = 1/5
Therefore, the rate of change is determined as: A. 1/5.
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A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? hint: look at the difference between number of people and cost to get cost per person and then cost without people
How much does each person cost?
Write an equation to show cost, c, of a bus with x number of people on it.
1) The base rate for the empty bus is $120.
2) The variable cost (slope) for each person on board the bus is $2.
3) An equation to show the cost, c, of a bus with x number of people on it is C = 120 + 2x.
How the base rate and slope for the equation are derived:The total charge for taking 30 people aboard = $180
The total charge for taking 50 people on board = $220
The differences in the number of people and charges are 20 and $40, respectively.
Let x = the number of people boarding the bus and n = the fixed rate per bus.
30x + n = 180 ... Equation 1
50x + n = $220 ... Equation 2
Subtract Equation 1 from Equation 2:
20x = $40
x = $2 ($40/20)
The variable cost per person = $2 ($40/20)
The base rate for the empty bus = 30(2) + n = $180, where n is the base rate or fixed cost per bus.
= 60 + n = $180
n = $120
OR:
50(2) + n = $220
100 + n = $220
n = $120
The equation for the cost, c, of a bus with x number of people:
C = 120 + 2x
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It is the process by which people are separated from social participation as well as economic, social, cultural and political opportunities.
The process by which people are separated from social participation is known as social exclusion.
¿What is social exclusion?This term refers to the process in which people or groups are separated or not allowed to participate.
Exclusion is considered a negative process or phenomenon, since:
It does not allow social development in general.It strengthens many negative values and elements such as inequality and lack of participation.In this sense, what must be done is to fight to eliminate exclusion and promote inclusion.
¡Hope this helped!
I need help answering the question for math hw 13188 divided by 12
Answer:
1099
Step-by-step explanation:
Use a calculator
A time-and-motion study measures the time required for an assembly-line worker to perform a repetitive task. The data show that the time required to bring a part from a bin to its position on an automobile chassis varies from car to car according to a Normal distribution with mean 11 seconds and standard deviation 2 seconds. The time required to attach the part to the chassis follows a Normal distribution with mean 20 seconds and standard deviation 4 seconds. The study finds that the times required for the two steps are independent. A part that takes a long time to position, for example, does not take more or less time to attach than other parts. Management's goal is for the entire process to take less than 30 seconds. Find the probability that this goal will be met for a randomly selected part.
The amount of time required for an assembly line worker to complete a repetitive task is measured using a time and motion study.
According to the data, the average time it takes to move apart from the bin to its place on a car's chassis is 11 seconds, while the standard deviation is 2 seconds.
If XX and YY are independent, the property mean and variance are as follows: X 1 = 11; sigma_X_1 = 2, X 1 = 2, mu_X_2 = 20, X 2 = 20, sigma_X_2 = 4, and X 2 = 4.
aX+bY = a X + b Y; sigma_aX+bY = a X + b Y; aX+bY 2 = a 2 X 2 + b 2 Y 2; and finally, we have the following results:
X 1 + X 2 = X 1 + X 2 = 11+20=31 sigma_X_1+X_2=sqrtsigma_X_1+sigma_X_2=sqrtsigma_X_1+sigma_X_2=sqrtsigma_X_2=sqrtsigma_X_2=sqrtsigma_X_2=sqrtsigma_X_1+
The value reduced by the mean and divided by the standard deviation is the z-score:
z=\dfrac{x-\mu} {\sigma} =\dfrac{30-4.4721} \approx - 0.22
z=σx−μ =4.472130−31
≈−0.22
Decide the relating esteem utilizing table A:
P (X_1+X_2 30) = P(Z-0.22) = 0.4129 P (X 1 30) = P(Z-0.22) = 0.4129
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Given rectangle EFGH below, EI = 35. If FH = 2z+8, solve for z.
Answer:
N
65
Ex
Submit Answer
By using the properties of rectangle, it can be calculated that-
Value of z is 31°
What is a rectangle?
Rectangle is a four sided two dimensional figure which satisfies the properties of a parallelogram and whose every angle is 90°
FH = 2z + 8
EG = 2z + 8 [Diagonals of a rectangle are equal]
EI = 35
EG = [tex]35 \times 2 = 70[/tex] [Diagonals of rectangle bisect each other]
So,
2z + 8 = 70
2z = 70 - 8
2z = 62
z = [tex]\frac{62}{2}[/tex]
z = 31
Value of z is 31°
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Conner and Darian made a profit of $40,021.50 on day 1 of the hot chocolate sale. They donated $10,050.25 to their school so their school could purchase more good books. Then Conner gave his dad $25.00 and Darian gave his dad $25.00. Conner and Darian invested the rest of the money so that they can make their hot chocolate shop even better! How much money did they invest?
Answer:29,921.25
Conner and Darian made a profit of $40,021.50 on the first day of their hot chocolate sale. They donated $10,050.25 of that money to their school, which leaves them with $40,021.50 - $10,050.25 = $29,971.25.
Conner and Darian each gave their dad $25.00, which means they gave a total of $25.00 * 2 = $<<25*2=50.00>>50.00 to their dads.
This means that Conner and Darian had $29,971.25 - $50.00 = $29,921.25 left to invest in their hot chocolate shop.
there are 365 days in a year, 24 hours per day, 12 months per year, and 60 minutes per hour. use these data to determine how many minuytes are in a month
A month has 43,800 minutes, according to the information given.
Multiplication is what?Multiplication in the context of integers or counting numbers is just repeated addition. Consequently, 3 x 5 equals:
5 is added to 0 and placed in the "accumulator."
For a total of three times, repeat operation (1).
As a/b times c/d = ac/bd, we can simply extend multiplication to rational integers. By the way, this definition enables us to say that multiplication is closed for rational numbers.
What distinguishes addition from multiplication?
Concentrating on the words "sum" and "product" in relation to "things that aren't numbers" is still beneficial. In logic, the terms "sum" and "product" have a non-numerical sense as the union and intersection of sets.
For instance, a "blue circle" is a reasonable outcome. It is where the "blue" and "circle" sets cross. The only components in the logical combination of the two sets would be those that are "blue" or "circular."
The no: of minutes in a month is 30*24*60=43200 minutes in a month
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A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondents, 13% chose chocolate pie, and the margin of error was given as 5 percentage points. Given specific sample data, which confidence interval is wider the 95% confidence interval interval? Why is it wider? r the 80% confidence Choose the correct answer below A. An 80% confidence interval must be wider than a 95% confidence interval in order to be more confident that it captures the true value of the population proportion. B. A 95% confidence interval must be wider than an 80% confidence interval because it contains 95% of the true population parameters, while the 80% confidence interval only contains 80% of the true population parameters B. C. An 80% confidence interval must be wider thant> 95% confidence interval because it contains pr 100%-80%-20% of the true population parameters, while the 95% confidence interval only contains 100%-95%-5% of the true population parameters. D. A 95% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion. D.
The correct answer is D. A 95% confidence interval must be wider than an 80% confidence interval in order to be more confident that it captures the true value of the population proportion.
The width of a confidence interval reflects the degree of uncertainty about the estimate of the population parameter. A wider interval indicates a higher degree of uncertainty, while a narrower interval indicates a lower degree of uncertainty.
The confidence level of a confidence interval is the probability that the interval contains the true population parameter. For example, a 95% confidence interval means that there is a 95% probability that the interval contains the true population parameter. Similarly, an 80% confidence interval means that there is an 80% probability that the interval contains the true population parameter
Since a 95% confidence interval is more confident that it captures the true value of the population parameter than an 80% confidence interval, the 95% confidence interval must be wider in order to capture the true value with a higher degree of confidence.
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Sheryl creates a scatter plot to analyze how an increase in the outside temperature above 52°F affects the sale of hot chocolate at her shop. The line shown on the graph is the line of best fit for the data. Which statements are true about the graph? Select all that apply.
1. The y-intercept represents the orders for hot chocolate on a day when the outside temperature was 52°F.
2. Sheryl gets 160 orders for hot chocolate on a day when the outside temperature is 52°F.
3. Sheryl gets 2 fewer orders for each degree increase above 52°F in the outside temperature.
4. Sheryl gets 16 fewer orders for each degree increase above 52°F in the outside temperature.
The true statement about the graph include:
1. The y-intercept represents the orders for hot chocolate on a day when the outside temperature was 52°F.
2. Sheryl gets 160 orders for hot chocolate on a day when the outside temperature is 52°F.
What are the true statement about the graph?It is clearly mentioned on graph above 52 degrees fahrenheit. So y-intercept represents the orders for hot chocolate when the outside temparature was 52 F.
For every 16° increase in temparature above 52°F there is a decrease of 32 orders. Therefore for each degree increase above 52°F decrease in order = 32/16 => 2
So Sheryl gets 2 few orders for each degree decrease in temperature above 52°F. The slope of the line represents the decrease in numbers of order per degree increase in temparature.
As graph starts with 52oF and the number of orders on it is 160; So, Sheryl gets 160 orders when outside temparature is 52°F.
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based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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Graph the line with y-intercept 6 and slope 1/3
Answer:
y = 1/3x + 6
Step-by-step explanation:
Assuming independent assortment, how many different gametes can be formed by an organism that is homozygous for 3 and heterozygous for 2 genes?a. 2 b. 3 c. 2 + 2 = 4 d. 2 + 3 = 6 e. 3 + 3 = 9
The correct answer is (D) 2 + 3 = 6. If an organism is homozygous for 3 genes and heterozygous for 2 genes, it can produce a total of 2 + 3 = 5 different gametes.
When an organism is homozygous for a gene, it means that it carries two copies of the same allele for that gene. When an organism is heterozygous for a gene, it means that it carries two different alleles for that gene.
In this case, the organism is homozygous for 3 genes, which means that all its gametes will carry the same alleles for these 3 genes. It is also heterozygous for 2 genes, which means that it can produce gametes that carry either one of the two alleles for these 2 genes.
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2. Which system has an infinite number of solutions?
a. x+2=y
4= 2y-x
b. 2y + 6 = 4x
-3=y-2x
c. y+3=2x
4x=2y-3
d. y = 2x - 5
-2 = y - 2x
Answer: B
Step-by-step explanation:
Substitution method
solve the equation for Y by putting the variable on the left. -3 = y - 2x would become y = 2x - 3
Plug Y into the top equation. 2(2x - 3) + 6 =4x
4x - 6 + 6 = 4x
Combine like terms
4x - 0 = 4x
4x = 4x
Infinite Solutions
A line passes through the point (4, -8) and has a slope of 5/2
Write an equation in slope-intercept form for this line.
help me pls this is due in 30 minutes
Answer:
y = (5/2)x - 18
Step-by-step explanation:
plug in the x, y, and m into the formula y=mx+b, solve for b, and create the formula y = (5/2)x - 18
[tex]y=mx+b[/tex]
m represents the slopeb represents the y-interceptSolving the QuestionWe're given:
passes through (4, -8)slope of [tex]\dfrac{5}{2}[/tex]Plug the slope, [tex]\dfrac{5}{2}[/tex], into [tex]y=mx+b[/tex]:
[tex]y=\dfrac{5}{2}x+b[/tex]
Now, to solve for b, plug in the given point (4, -8):
[tex]-8=\dfrac{5}{2}(4)+b\\\\-8=10+b\\b=-18[/tex]
Plug this into our equation:
[tex]y=\dfrac{5}{2}x-18[/tex]
Answer[tex]y=\dfrac{5}{2}x-18[/tex]
Amelia has two sheets of construction people with length accent meters one piece of construction paper has a width of X +4. 5 cm and the other has a width of X +6. 25 cm right and expression to represent the the two pieces of construction paperwork cover
x² + 6.25x + 4.5x + 28.125, this expression represents the area the 2 pieces of construction paper will cover.
What is the quadratic equation?
A quadratic equation is any equation in algebra that can be rearranged in standard form as where x represents an unknown value and a, b, and c represent known numbers, with a 0.
We have,
Amelia has 2 sheets of construction paper with length x centimeters.
One piece of construction paper has a width of x+4.5 centimeters, and the other has a width of x+6.25 centimeters.
expression to represent the area the 2 pieces of construction paper will cover.
To find the area(A) of a paper:
multiply its height by its width:
A = (x + 4.5) * (x + 6.25)
A = x² + 6.25x + 4.5x + (4.5) * (6.25)
A = x² + 6.25x + 4.5x + 28.125
hence, x² + 6.25x + 4.5x + 28.125, this expression represents the area the 2 pieces of construction paper will cover.
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Which ordered pair is included in the solution set to the following system?
y < x² + 3
y > x² - 2x + 8
a) (-4,2)
b) (0,6)
c) (1,12)
d) (4,16)
Answer: D
Step-by-step explanation:
(4,16)
Given BD is the segment bisector of AC, complete the flowchart proof below. Note
that the last statement and reason have both been filled in for you.
D
The triangle ΔADB is congruent to the triangle ΔCDB by the ASA postulate.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangles are said to be congruent if two points and the contained side among one triangle match two angles and the contained side of another triangle.
In triangles ΔADB and ΔCDB, then we have
∠BAD = ∠BCD (Given)
∠BDA = ∠BDC (Given)
AD = AD (Common side)
The triangle ΔADB is congruent to the triangle ΔCDB by the ASA postulate.
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|2x - 1|> 7.
|7-5x|<3
Answer:
1)x=2
2)4<x
3)x<4/5
4)1<x
Can someone please answer this problem for me.
Length of each Plan A workout: 4 hours and Length of each Plan B workout: 8 hours.
To find the length of each workout plan, we need to know the total amount of time that Deshaun spent on each plan. We can find this by adding up the number of clients who did each plan on Friday and Saturday and then multiplying by the total amount of time that Deshaun spent training his clients on each day.
On Friday, Deshaun had 4 clients who did Plan A and 8 who did Plan B, for a total of 4 + 8 = 12 clients.
On Saturday, Deshaun had 2 clients who did Plan A and 3 who did Plan B, for a total of 2 + 3 = 5 clients.
In total, Deshaun had 12 + 5 = 17 clients who did his workout plans.
Since Deshaun trained his Friday clients for a total of 17 hours and his Saturday clients for a total of 7 hours, the total amount of time that he spent on Plan A was 4 × 17 = 68 hours.
The total amount of time that he spent on Plan B was 8 × 17 = 136 hours.
Since there were 17 clients in total, the length of each Plan A workout is 68 / 17 = 4 hours.
The length of each Plan B workout is 136 / 17 = 8 hours.
Thus, the length of each Plan A workout is 4 hours, and the length of each Plan B workout is 8 hours.
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Four transformations of the function f f (x x ) = 4x x + 5 are given below. For each transformation, drag the expression that shows the result of that transformation into the box under it. Math item stem image CLEAR CHECK (4x x + 5)3x x 4(3x x • x x ) + 5 4(x x + 3) + 5 3(4x x + 5) 4(3x x ) + 5 4x x + 3 + 5 f f (x x + 3) f f (x x ) + 3 3f f (x x ) f f (3x x )
The graphs and the equations are matched and mentioned above.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph of the function as shown in the image.
The function g(x) = f(x) + 2, is represented by graph [1].
The function h(x) = f(x + 2), is represented by graph [6].
The function k(x) = f(x) - 2, is represented by graph [3].
The function g(x) = f(x - 2), is represented by graph [5].
Therefore, the graphs and the equations are matched and mentioned above.
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the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars
The main belt is not located between these all planets.
What is orbit?
A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.
The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.
The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.
The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.
Hence, The main belt is not located between these all planets.
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When solving a word problem using a system of equations, how many equations
must you create when there are two unknowns?
a) 1
b) 2
c) 3
d) 4
Answer:
The answer for the above question is:
b)2
When solving a word problem using a system of equations with two unknowns, you must create two equations. So, correct option is B.
The reason is that each unknown in the problem requires an equation to represent its relationship with the other variables.
For example, let's say you have two unknowns, x and y. You need two equations to define the relationships between these variables. These equations can be represented as:
Equation 1: x + y = 10 (This equation represents the relationship between x and y based on the given information in the problem.)
Equation 2: 2x - y = 4 (This equation represents another relationship between x and y based on additional information provided in the problem.)
With a system of two equations involving two unknowns, you can use algebraic methods such as substitution or elimination to solve for the values of x and y.
Having only one equation would not be enough to determine unique values for both x and y, as there would be an infinite number of possible solutions. On the other hand, having more than two equations might lead to over-determining the system, making it inconsistent or redundant.
Therefore, two equations are the minimum required to solve for two unknowns effectively. So, correct option is B.
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One angle measures 18°, and another angle measures (6d − 6)°. If the angles are complementary, what is the value of d? d = 2 d = 13 d = 31 d = 36.2
The value of d for the given angles will be equal to d = 13. The correct option is B.
What is the complementary angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Complementary angles are formed when the sum of two angles equals 90 degrees. 30 degrees and 60 degrees, for example, are complementary angles.
Given that one angle measures 18° and another angle measures (6d − 6)°.
The value of d will be calculated as,
18 + 6d - 6 = 90
6d + 12 = 90
6d = 90 - 18
6d = 78
d = 78 / 6
d = 13
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