Solve for F: -11-7q=-7-12
Answers
Answer:
q=8/7
Step-by-step explanation:
Related Questions
which of the following lists of data has the smallest standard deviation? select the correct answer below: 6, 19, 9, 18, 19, 9, 17, 18, 17, 15 31, 30, 26, 28, 18, 28, 18, 21, 23, 32 20, 21, 20, 19, 25, 24, 19, 14, 21, 15 14, 20, 16, 14, 28, 13, 17, 21, 12, 22 16, 12, 13, 16, 14, 15, 16, 14, 14, 13
Answers
The list with the smallest standard deviation is the following: 16, 12, 13, 16, 14, 15, 16, 14, 14, 13.
What is standard deviation?
Standard deviation is a statistical measure of the variability of a set of data values. It's a step-by-step process for determining how far each value is from the mean. It is important since it may reveal the amount of variability in a set of data. The formula for calculating standard deviation is as follows:
σ=√∑(x−μ)²nσ=√∑(x−μ)²n
In this equation, x represents the values in the data set, μ represents the mean of the data set, and n represents the number of values in the data set. Let us now compute the standard deviation of each of the given data sets, starting with the first one. We can utilize the formula given above to do so:
6, 19, 9, 18, 19, 9, 17, 18, 17, 15 μ = 15.8,σ = 4.83 (rounded to two decimal places)
31, 30, 26, 28, 18, 28, 18, 21, 23, 32 μ = 25.5,σ = 5.93 (rounded to two decimal places)
20, 21, 20, 19, 25, 24, 19, 14, 21, 15 μ = 19.8,σ = 3.98 (rounded to two decimal places)
14, 20, 16, 14, 28, 13, 17, 21, 12, 22 μ = 17.7,σ = 4.96 (rounded to two decimal places)
16, 12, 13, 16, 14, 15, 16, 14, 14, 13 μ = 14.3,σ = 1.96 (rounded to two decimal places)
The list with the smallest standard deviation is the following: 16, 12, 13, 16, 14, 15, 16, 14, 14, 13.
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Students collected $441 for a donation camp. Each student have as many dollars as there were students. How many students are there
Answers
Answer:
There are 21 students.
Step-by-step explanation:
If there are 21 students, and each of them had $21 then this would equal a total of $441 because 21 multiplied by 21 equals 441.
Hope this helps,
Trey
Benjamin believes that \( \frac{1}{2} \)% is equivalent to 50%. is he correct? why or why not?
Answers
First, we convert 1/2% to a decimal.
\(\frac{1}{2}\%=\frac{0.5}{100}=0.005\)Similarly:
\(undefined\)Let theta be an angle in quadrant iv such as sin theta = -5/8. find the exact value of sec theta and cot theta
Answers
Using a trigonometric identity, it is found that the secant and the cotangent of the angles are given as follows:
\(\sec{\theta} = \frac{8\sqrt{39}}{39}\)\(\cot{\theta} = -\frac{\sqrt{39}}{5}\)Which trigonometric identity relates the sine and the cosine of an angle?The following identity is used, considering an angle \(\theta\).
\(\sin^2{\theta} + \cos^2{\theta} = 1\)
In this problem we are given the sine, then the cosine can be found as follows:
\(\left(-frac{5}{8}\right)^2 + \cos^2{\theta} = 1\)
\(\cos^2{\theta} = 1 - \frac{25}{64}\)
\(\cos^2{\theta} = \frac{39}{64}\)
\(\cos{\theta} = \pm \sqrt{\frac{39}{64}}\)
In the fourth quadrant, the cosine is positive, hence:
\(\cos{\theta} = \frac{\sqrt{39}}{8}\).
What is the secant of an angle?The secant of an angle \(\theta\) is one divided by the cosine of the angle, hence:
\(\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{39}}{8}} = \frac{8}{\sqrt{39}} \times \frac{\sqrt{39}}{\sqrt{39}} = \frac{8\sqrt{39}}{39}\)
What is the cotangent of an angle?The cotangent of an angle \(\theta\) is the cosine divided by the sine of the angle, hence:
\(\cot{\theta} = \frac{\cos{\theta}}{\sin{\theta}} = \frac{\frac{\sqrt{39}}{8}}{-\frac{5}{8}} = -\frac{\sqrt{39}}{5}\)
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a plan for an executive travelers' club has been developed by an airline on the premise that 5% of its current customers would qualify for membership. a random sample of 500 customers yielded 42 who would qualify. (a) using this data, test at level 0.01 the null hypothesis that the company's premise is correct against the alternative that it is not correct. (b) What is the probability that when the test of part (a) is used, the company's premise will be judged correct when in fact 10% of all current customers qualify?
Answers
Based on the data, we do not have sufficient evidence to conclude that the company's premise is not correct.
To test the null hypothesis that 5% of the company's current customers qualify for membership against the alternative that it is not correct, we can perform a hypothesis test using the given data. Let's go through the steps:
(a) Hypothesis Testing:
Null Hypothesis (H0): p = 0.05 (5% of customers qualify)
Alternative Hypothesis (Ha): p ≠ 0.05 (not 5% of customers qualify)
Here, p represents the population proportion of customers who qualify for membership.
We will use the sample proportion as an estimate of the population proportion. In this case, the sample proportion is 42/500 = 0.084.
We will conduct a two-tailed test at a significance level of 0.01 (α = 0.01). This means we will reject the null hypothesis if the test statistic falls in the rejection region defined by the critical values.
To perform the test, we can use the z-test for proportions. The test statistic is calculated as:
z = ( - p0) / sqrt(p0 * (1 - p0) / n)
Where is the sample proportion, p0 is the hypothesized proportion under the null hypothesis, and n is the sample size.
In this case, = 0.084, p0 = 0.05, and n = 500.
Calculating the test statistic:
z = (0.084 - 0.05) / sqrt(0.05 * (1 - 0.05) / 500)
z ≈ 1.478
Next, we need to find the critical values for a two-tailed test with a significance level of 0.01. This critical value corresponds to the z-value that leaves 0.005 (0.01/2) in each tail of the standard normal distribution.
Using a standard normal distribution table or a calculator, the critical values are approximately -2.576 and 2.576.
Since our test statistic (1.478) does not fall in the rejection region (-2.576 to 2.576), we fail to reject the null hypothesis.
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64 unit cubes are glued together to makea big cube. The exterior of the big cube is
painted red in colour. Find how many of the
64 unit cubes would have been
(a) painted red on only one of their faces?
(b) painted red on two of their faces?
(c) painted red on three of their faces?
(d) without red paint on their faces?
Answers
The number of unit cubes in each category is as follows:(a) Cubes painted red on only one face: 24 (b) Cubes painted red on two faces: 20 (c) Cubes painted red on three faces: 8 (d) Cubes without red paint on their faces: 12.
To solve this problem, let's analyze the different types of cubes based on the number of faces painted red.
(a) Cubes painted red on only one face:
On the big cube, there are 6 faces exposed to the outside. Each face consists of a 2x2 grid of unit cubes. Thus, each face has 4 unit cubes painted red.
Since there are 6 faces, the total number of unit cubes painted red on only one face is 6 * 4 = 24.
(b) Cubes painted red on two faces:
On the big cube, the corner unit cubes have two faces exposed to the outside, and each edge unit cube has three faces exposed. There are 8 corner unit cubes and 12 edge unit cubes in total. Therefore, the number of unit cubes painted red on two faces is 8 + 12 = 20.
(c) Cubes painted red on three faces:
On the big cube, there are 8 corner unit cubes, and each of these cubes has three faces exposed to the outside. Therefore, the number of unit cubes painted red on three faces is 8.
(d) Cubes without red paint on their faces:
To determine the number of unit cubes without red paint on their faces, we subtract the sum of the previous three categories from the total number of unit cubes, which is 64.
Number of cubes without red paint = 64 - (24 + 20 + 8) = 12.
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The lump sum needed to be invested in an account that pays 6.6% compounded daily in terms of getting about $10,000 in 10 years is $ A
Answers
Answer:
To the lump sum needed to be invested to receive $10,000 in 10 years at 6.6% interest compounded daily, we can use the present value formula:
PV = FV / (1 + r/n)^(n*t)
where PV is the present value or the initial investment, FV is the future value or the amount we want to end up with, r is the annual interest rate in decimal form, n is the number of times the interest is compounded per year, and t is the time in years.
Plugging in the numbers, we get:
PV = 10000 / (1 + 0.066/365)^(365*10)
= 4874.49
Therefore, the lump sum needed to be invested is about $4,874.49.
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
Answers
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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which of the following expression is equivalent to 7 y + 21 y(7+21) 7(y+21). 7(y+3. 21y+7
Answers
The expression given is;
\(\begin{gathered} 7y+21 \\ \text{The equivalent is;} \\ =7(y+3) \\ We\text{ use 7 to factor both sides of the expression, hence} \\ \frac{7y}{7}=y \\ \text{And} \\ \frac{21}{7}=3 \\ \text{Therefore, the answer is } \\ 7(y+3) \end{gathered}\)The correct answer is option C
Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts
Answers
Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."
2: The total cost of the merchandise is $3,332.00.
5: The company's gross margin and operating expenses, are $211,000 and $191,720.
What is the cost of merchandise inventory?Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.
Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.
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Luna and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,030. This year, the cost is $927. What was the percent of decrease in the cost of season tickets?
Answers
Answer:
10%
Step-by-step explanation:
To find the answer we need to know what percentage of $1030 is $927 and to do this we can multiply 927 by 100 and divide by 1030.
(927(100))/1030
92700/1030
90
so now that we know $927 is 90% of $1030 we can subtract 90 from 100 and it'll give us the percentage decrease. Which is 10%.
Which expression can be used to represent the
volume of this prism?
6 × 11 units³
78°F
Sunny
O 48 x 3 units³
O 14 x 3 units³
O 8x9 units³
H
а
1
i
8 units
1
1
2
3
3 units
6 units
4
5
Answers
Volume of prism is given by V= base area × height cubic unit. The expression 48 × 3 unit³ can be used to represent the volume of the prism.
What is prism?Prism is a three-dimensional geometrical figure having identical two ends. A prism has flat faces, similar bases and equal cross sections. A prism is normally bounded by plane faces.
What is volume of prism?
Volume of prism is calculated by the product of base area and height of the prism. At first, we need to calculate the base area and then height is multiplied with it.
Prisms are different types such as triangular prism, rectangular prism, pentagonal prism and hexagonal prism so depending on the figure area for the base is different. As a result, different shaped prism has different formula for volume calculation.
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Help please I need this right now
Answers
Answer:
the first one
Step-by-step explanation:
if you simplify 10/2 it is 5. there is already a 5 as an x value, so that means this isn't a function.
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The solution to a system of equations is (5,-19). Choose two equations that might make up the system.
y=-3x-6
y=2x-23
y=-7x+16
y=x-17
y=-2x-9
Answers
Answer:
y = -7x + 16 and y = -2x - 9
Step-by-step explanation:
Of the five equations the only ones that exist at the point, (5, -19) are y = - 7x + 16 and y = -2x - 9 (Test them out yourself!).
Hope this helps :)
Whats The Answer Can you please explain? MATH..
Answers
Answer:
d
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Because the world less than would be subtract.
Hope it was correct I'm so sorry if I wasn't.
Glad I could help tho!
which is the better buy chord charts A 13:10 B 18:15
Answers
Step-by-step explanation:
is there more to the question?
5 · 6 – 33 ÷ 3 + (5 · 2) what is the awnser
Answers
Answer:
29
Step-by-step explanation:
Which is the value of g(−5) if g(x)=3.4x−8?
Answers
The given function :
To find the value of g(5) , we need to substitute (Using substitution property) the value of x= 5 in the above function.
Now, put x= 5 in g(x), we get
If Papa and Rama are working together on a gift for their brother, it takes them 2hours. If Papa works on half of the the gift and they both work on the other half together, it takes them 5hours in total. How long will it take for Rama to work alone
Answers
To finish working on the gift alone, Rama needs 2 hours 40 minutes.
We can solve this problem using inverse proportion.
Let:
x = the portion of work Papa does per hour
y = the portion of work Rama does per hour
W = amount of work
If Papa and Rama are working together on a gift for their brother, it takes them 2hours.
It means:
W = 2 (x + y)
In case 2, if Papa works on half of the the gift and they both work on the other half together, it takes them 5 hours in total.
Suppose Papa need p hours to finish half of the gift, it means:
p . x = (1/2) W
Substitute W = 2 (x + y)
p . x = x + y ....... (equation 1)
It also means Papa and Rama need (5 - p) hours to finish the other half of work.
(5 - p) . (x + y) = (1/2) W
(5 - p) . (x + y) = x + y
5 - p = 1
p = 4
Hence, Papa needs 4 hours to finish half of the gift.
Substitute p = 4 into equation 1
4x = x + y .... (equation 2)
y = 3x ........(equation 3)
Let:
r = time for Rama to finish the work alone. Therefore,
W = W
2(x + y) = r y
Substitute equation 2 and equation 3:
2(4x) = r (3x)
r = 8/3
Hence, Rama needs 8/3 hours or 2 hours 40 minutes.
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does anyone know the answer
Answers
In rewriting the expression in equivalent form, C. Tony made an error in Step 3. He should have multiplied each exponent by 4 instead of adding 4.
How to take exponents to powers ?When writing in equivalent form such that one converts the expression ( a ² b ³ / c) ⁴, one can use the law of exponents.
In this instance, the law of exponents states that if you are taking an exponent with a certain base, to another exponent, you multiply the exponents to get the new exponent.
In step 3, Tony should have multiplied each exponent by 4 instead of adding 4.
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c). The local bus service has 2 lines of buses that start together at 8
a.m. Buses on line A leave after every 15 minutes while Buses on line
B leave after every 20 minutes. In a day, how many times do buses on
both line A and B leave together between 8 a.m. and 11 a.m.
Answers
Answer:
3 times
Step-by-step explanation:
Firstly we calculate the number of minutes between 8 and 11 am
The number of hours is 3 hours
The number of minutes is 180 minutes since 1 hour is 60 minutes
Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180
The multiples are;
60, 120, 180
This means that they leave together 3 times
a rectangular field measures 90 meters by 162 meters. what will it cost to cover the field with pallets of grass each covering 90 squard yards and costing $213 per pallet
Answers
The cost of covering the field with grass pallets is $40996.58.
Given that the rectangular field measures 90 m and 162 m.
Hence, the area of the field is 90 X 162 m²
The grass pallets are sure in shape with an area covering 90 square yards.
1 m = 1.09 yards
Hence,
1 m² = 1.09² square yards
Hence,
90 X 162 m² = 90 X 162 X 1.09² square yards
Hence the number of pallets to be used is
(90 X 162 X 1.09²) / 90
= 162 X 1.09² pallets.
= 192.4722 pallets.
1 pallet costs $213
Hence,
192.4722 pallets cost
192.4722 X 213
= $40996.58
Therefore we get the cost of covering the field with grass is $40996.58.
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Larry and Bonny began saving money the same week. The table below shows the
models for the amount of money Larry and Bonny had saved after x weeks.
Larry's Savings
f(x)=8x+15
Bonny's Savings
g(x)=5,5x+25
After how many weeks will Larry and Bonny have the same amount of money saved?
Equation:
Answer:
Answers
Answer:
4
Step-by-step explanation:
8x + 15 = 5.5x +25
so 2.5x =10
x=4
Hailey opened her jar of coins and found 65 coins, all quarters and dimes. When Hailey counted them up, she determined that she had a total of $11.90. How many dimes did Hailey have??????? Help me please!!
Answers
The number of dimes Hailey has is 29 dimes.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
Number of dimes = x
Number of quarters = y
Now,
1 dime = $0.10
1 quarter = $0.25
We can make two equations.
x + y = 65 ____(1)
x = 65 - y _____(2)
0.10x + 0.25y = 11.90 ______(3)
Now,
Substituting (2) in (3).
0.10 (65 - y) + 0.25y = 11.90
6.5 - 0.10y + 0.25y = 11.90
6.5 + 0.15y = 11.90
0.15y = 11.90 - 6.5
0.15y = 5.4
y = 36
And,
x = 65 - y
x = 65 - 36
x = 29
Thus,
Hailey has 29 dimes.
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Yvonne is comparing the weights of a semi-truck trailer tire and a mobile home. a semi-truck trailer tire weighs about 102 pounds, and a mobile home weighs about 104 pounds. what is the ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home?
Answers
The ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home will be 51: 52.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The weight of the semi-truck trailer tire is 102 pounds.
The weight of the mobile home is 104 pounds.
The ratio of the weight of a semi-truck trailer tire to a mobile home is given as.
Ratio = 102 / 104
Ratio = 51 / 52
Ratio = 51: 52
The ratio of the weight of a semi-truck trailer tire to a mobile home will be 51: 52.
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Group the all the worksheets in the workbook and fill the range a1:f1 from the insurance worksheet across all worksheets maintaining the formatting. Ungroup the worksheets after the fill is complete and ensure the insurance worksheet is active
Answers
Below given steps, you will be able to group the worksheets, fill the range A1:F1 from the insurance worksheet across all the worksheets, and then ungroup the worksheets while keeping the insurance worksheet active.
To group all the worksheets in the workbook, you can follow these steps:
1. Open the workbook that contains the worksheets you want to group.
2. Click on the first worksheet tab.
3. Hold the Shift key on your keyboard and click on the last worksheet tab. This will select all the worksheets between the first and last.
4. Right-click on any of the selected worksheet tabs and choose "Group Sheets" from the context menu. This will group all the selected worksheets together.
Now, to fill the range A1:F1 from the insurance worksheet across all the worksheets while maintaining the formatting, you can use the following method:
1. Make sure the insurance worksheet is active. You can click on its tab to activate it.
2. Select the range A1:F1 on the insurance worksheet.
3. Press Ctrl+C on your keyboard to copy the selected range.
4. Right-click on any of the worksheet tabs and choose "Select All Sheets" from the context menu. This will select all the worksheets in the workbook.
5. Right-click on any of the selected worksheet tabs and choose "Paste" or press Ctrl+V on your keyboard. This will paste the copied range into the same location on all the selected worksheets.
After you have filled the range across all the worksheets, you can ungroup the worksheets by following these steps:
1. Right-click on any of the worksheet tabs and choose "Ungroup Sheets" from the context menu. This will ungroup the worksheets.
2. Make sure the insurance worksheet is still active. You can click on its tab to activate it.
By following these steps, you will be able to group the worksheets, fill the range A1:F1 from the insurance worksheet across all the worksheets, and then ungroup the worksheets while keeping the insurance worksheet active.
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John and amber work at an ice cream shop the hours worked and wages earned are given for each person
Answers
John's wages are proportional to time as the hourly wage is same for all values of time given.
Proportional means that two quantities vary in direct proportion to each other. When the value of one quantity doubles, the value of the other also doubles.
In order to determine if John's wages are proportional to time, we need to find the ratio of the two quantities, wages and time.
We can calculate John's hourly wage (proportionality constant) by dividing his total wages by the number of hours worked:
Hourly wage = Total wages / Time
For example, the hourly wage for 2 hours is:
Hourly wage = 18 / 2
Hourly wage = 9
Similarly, we can calculate the hourly wages for the other times and we'll find that the proportionality constant is the same 9 for all number of hours.
Since the hourly wage is constant for all values of time, we can say that John's wages are proportional to time.
Complete Question: content loaded
John and amber work at an ice cream shop the hours worked and wages earned are given for each person:
John's wages
Time (in hours) Wages (in dollars)
2 18
3 27
4 36
Determine if John's wages are proportional to time
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A sector of a circle has a central angle of 100 degrees. If the area of the sector is 50pi, what is the radius of the circle
Answers
The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.
An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.
Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.
In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.
From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.
Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:
50π = (100°/360°) πr²,
or, r² = 50*360°/100° = 180,
or, r = √180 = 6√5.
Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.
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He often said "Diesel Be Good"
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What is the minimum acceptable rate of 1 sigma of quality production? O a) 95.4 b) 99.7 c) 99.9 d) 68
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The minimum acceptable rate of 1 sigma of quality production is d) 68.
This corresponds to a 68% acceptance level, which is equivalent to 1 standard deviation in a normal distribution.
A 1 sigma level corresponds to a standard deviation that captures approximately 68% of the data within a normal distribution. This means that if a process is operating at a 1 sigma level, it has a 68% acceptance rate, and the remaining 32% of the data falls outside the acceptable range
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