Answer:
1. 68
2. Net gain of 6 yards
3. 7684 ft
Step-by-step explanation:
1.
Walmart’s stock price started at $70. It went up by $2, then went down $4
Final stock = \(70+2-4=68\)
2.
A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards
Here,
\(5-2+6-3=6\)
So, net gain of 6 yards
3.
Difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft below sea level = \(7677-(-7)=7677+7=7684\,\,ft\)
Use the correct order of operations to solve the expression below.
25 – 3 x (2+1) +9–7
Answer:
18
Step-by-step explanation:
PEMDAS
25-3x(2+1)+9-7
Parentheses first:
2+1=3
Then multiplication
3x3=9
then subtraction
25-9=16
then add
16+9=25
then subtract again
25-7=18
------------------------------------------
Parentheses ALWAYS go first. Multiplication/division can be switched and addition/subtraction can be switched, but it always goes parentheses, then multiplication or division and then addition or subtraction.
How do you calculate obtuse value?.
Calculating the obtuse angle or value of a triangle.
Finding obtuse angle value:
steps:
1) Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.
For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.
2) Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.
3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.
4) Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.
5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.
The obtuse angle value is obtained by inverse of cos:
cos^-1(-0.3125)
= 108.209 degrees.
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If a target population is defined as all 2,134 pickup truck owners residing in Tippecanoe County, then:a. asking only owners listed in the telephone directory would be an example of a statistical frame.b. asking 100 owners their attitude toward a new truck style would be an example of a consensus.c. asking all owners their attitude toward a new design would be an example of universal testing.d. asking 80 owners their attitude toward a new design would be an example of a sample.
d. asking 80 owners their attitude toward a new design would be an example of a sample would be the correct answer as per statistical frame.
A statistical frame refers to a list or sampling method used to select individuals from a population for inclusion in a study. Therefore, option a is incorrect because only using the telephone directory as a sampling method would not represent the entire population.
Option b, asking 100 owners their attitude toward a new truck style, is an example of a sample because it only represents a subset of the population.
Option c, asking all owners their attitude toward a new design, would be an example of universal testing if it were possible to test every single pickup truck owner in the target population. However, this is often not feasible due to time and resource constraints.
Option d is the correct answer because it involves selecting a smaller subset of the population (80 owners) to represent the entire population in the study. This is a common approach to research when it is not feasible or practical to test the entire population.
d. asking 80 owners their attitude toward a new design would be an example of a sample.
In this scenario, the target population consists of all 2,134 pickup truck owners in Tippecanoe County. When you ask only 80 owners about their attitude towards a new design, you are collecting data from a smaller group within the target population. This smaller group is called a "sample." The terms "statistical frame" and "universal testing" are not applicable to this example, as they refer to different aspects of data collection.
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Eight family members would like to purchase a large gift costing $ 520
If the cost of the gift is split evenly how much will each family member contribute?
Numbers of the jerseys of 5 randamty selected Carolina Panthers Quantitative discrete Quantitative continuous. Gualitative
The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.
Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.
Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.
Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".
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Triangle OPQ, with vertices O(3,4), P(8,3), and Q(4,8), is drawn inside a rectangle, as
shown below.
What is the area, in square units, of triangle OPQ?
The area of triangle OPQ is 44 square units.
How to find the area of tringle?
There are different ways to find the area of a triangle, depending on the information given. Here are a few common methods:
Using the base and height: To find the area of a triangle using the base and height, you can use the formula: A = (1/2)bhwhere A is the area, b is the base and h is the height.The height is the perpendicular line segment drawn from the vertex of the triangle to the line containing the base of the triangle.Using the 3 sides of the triangle: Heron's formula is a method to find the area of a triangle when the lengths of all three sides are known. The formula is:A = √(s(s-a)(s-b)(s-c))where A is the area, a, b and c are the sides of the triangle, and s is the semi-perimeter of the triangle.s = (a+b+c)/2There are different methods to find the area of a triangle, but one common method is to use the coordinates of its vertices and the distance formula. The distance formula is
d = √((x2-x1)^2 + (y2-y1)^2)
We can use the distance formula to find the lengths of the sides of the triangle OPQ, which are:
OP = √((8-3)^2 + (3-4)^2) = √((5)^2 + (-1)^2) = √(25+1) = √26
OQ = √((4-3)^2 + (8-4)^2) = √((1)^2 + (4)^2) = √(1+16) = √17
PQ = √((4-8)^2 + (8-3)^2) = √((-4)^2 + (5)^2) = √(16+25) = √41
Once we have the lengths of the sides of the triangle, we can use the Heron's formula to find its area:
s = (OP + OQ + PQ)/2
Area = √(s(s-OP)(s-OQ)(s-PQ))
s = (√26 + √17 + √41)/2 = (√44)/2 = 4√11
Area = √(4√11(4√11-√26)(4√11-√17)(4√11-√41))
Area = √(4√11 * √(44-26) * √(44-17) * √(44-41))
Area = √(4√11 * √18 * √27 * √3)
Area = √(4√11 * 3√2 * 3√3 * √3)
Area = 4*11 = 44 square units
Hence, the area of triangle OPQ is 44 square units.
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What is the equation of the line?
A: y = -4/5x + 3/2
B: y = -5/4x + 5/4
C: y = -4/5x + 5/4
D: y = -5/4x + 3/2
Answer:
A: y = -4/5x + 3/2 i believe is the correct answer
Step-by-step explanation:
HELP QUESTION ONE BABABOI
Answer:
x = 0, y = 3
Step-by-step explanation:
When using graphing to solve a system of equations, the intersection point is the solution. Most points on a graph follow a certain way of writing them and it looks like this: (x, y).
Here, the coordinates of the intersection point is: (0, 3). Thus the solution would be:
(x, y)
(0, 3)
x = 0, y = 3
practice questions for a textbook are marked with difficulty levels of easy, intermediate, and difficult. if 42 of the 136 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?
The percentage of the questions which of are intermediate level are 31 %.
It is given in the question that practice questions for a textbook are marked with difficulty levels of easy, intermediate, and difficult. It is also given that 42 of the 136 practice questions are rated as intermediate.
We have to find the percentage of the questions which of are intermediate level .
We know that,
Percentage of intermediate questions = (Number of intermediate questions/Total number of questions)*100
Hence, from the data given in the question, we can write,
Percentage of intermediate questions = (42/136)*100 = 30.88 % ≈ 31 %
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A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and round to the nearest hundredth.
Answer:
2.26 feet
Step-by-step explanation:
400/25=16
16/3.14=5.0955
5.0955^2=2.257
Jenny makes 5 out of every 6 foul throw shots she attempts. If she missed 36 foul throw
shots in her career, how many did she make in her career?
Answer:
216
Step-by-step explanation:
If she makes 5/6 foul throw shots, she misses 1/6;
So, if she misses 36 foul shots missed, she attempts 6 times as many;
Therefore, we just need to multiply 36 by 6:
36×6 = 216
On a particular day, the Dow Jones had a rate of change of -2.1%. Which of the following statements must also be true?
A. The S&P 500 increased.
B. Every stock in the Dow Jones decreased
C. The Nasdaq decreased
D. The average of the 30 stocks in the Dow Jones decreased
Answer:D
Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased
If 4,250 pesos is equivalent to $250, how many pesos is equivalent to $25?
HURRRRRRRRRRRRRRY!
Answer:
209.23
Step-by-step explanation:
Answer:
425 pesos
Step-by-step explanation:
Just divide both $250 and 4,250 pesos by 10 to get your answer! :)
Procter and Gamble (PG) paid an annual dividend of $2.95 in 2018. You expect PG to increase its dividends by 7.4% per year for the next five years (through 2023), and thereafter by 2.6% per year. If the appropriate equity cost of capital for Procter and Gamble is 8.6% per year, use the dividend-discount model to estimate its value per share at the end of 2018.
The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.
First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)
where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:
PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.
To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:
Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22
After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.
In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.
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Solve the inequality.
Graph the solution on a number line.
Answer:
x greater than or equal to -3
through: (-5, -1), slope
415
Answer: y = 415x + 2074
Step-by-step explanation:
fill into point slope form
y = 415( x - - 5) - 1
simplify
y= 415x + 2074
Solve using Elimination
\( \huge \: Answer࿐\)
The values are :
x = 4y = -2Please help me answer.
Answer:
Slope-intercept: y=3/4x+1
Sorry idk how to do general form
Step-by-step explanation:
Slope-intercept form is y=mx+b, m being the slope, b being the y-intercept.
The slope of this graph is 3/4, and the y-intercept is 1.
Answer:
Slope-intercept form: \(y=\frac{3}{4}x+1\)
General form: \(-3/4x+y-1\)
Step-by-step explanation:
Firstly, to get the slope intercept form, we need to find the slope and the y-intercept. To find the slope, we can use the slope formula and calculate the "rise over run" for these two points. The coordinate of the first point is (0, 1) , and the coordinate of the second point is (4, 4). If x1 = 0, x2 = 4, y1 = 1, and y2 = 4, we can plug those values into the slope formula that I mentioned earlier, which is \(\frac{y_{2}-y_{1}}{x_{2}-{x_{1}}}\). So, after we plug in those values we get in the two points, we can see that \(\frac{4-1}{4-0}\), so the slope is \(\frac{3}{4}\). The x moves right 4 times and the y goes up 3 times. Finally, the y-intercept value is 1 because when x = 0, y is 1, and the point we used for the slope formula (0, 1) proves that. For the slope-intercept form, \(mx+b\), where m is the slope and b is the y-intercept, m is \(\frac{3}{4}\) and b is 1. So, our final answer for the slope-intercept form is \(y=\frac{3}{4}x+1\). Now we can find the general form. To do this, we must get one side of the equation to equal 0. Using our slope-intercept equation, \(y=\frac{3}{4}x+1\), we can subtract y from both sides to get 0 on the left, like this: \(0=\frac{3}{4}x+1-y\). Then, we can rearrange the variables to general form: \(0=\frac{3}{4}x-y+1\\\). That is our general form answer. To recap, to find the slope, find the coordinates of the two points, and then plug in those points into the slope formula to find the steepness of the line. Then, add the y intercept that we can see on the graph. For general form, subtract y from both sides and rearrange the equation. Hope this helps!
(2-5√8)(4-6√3)
I need help
Answer:
see explanation
Step-by-step explanation:
Using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)
Given
(2 - 5\(\sqrt{8}\) )(4 - 6\(\sqrt{3}\) )
Each term in the second factor is multiplied by each term in the first factor, that is
2(4 - 6\(\sqrt{3}\) ) - 5\(\sqrt{8}\)(4 - 6\(\sqrt{3}\) ) ← distribute both parenthesis
= 8 - 12\(\sqrt{3}\) - 20\(\sqrt{8}\) + 30\(\sqrt{24}\) → *
Simplify \(\sqrt{8}\) and \(\sqrt{24}\)
\(\sqrt{8}\) = \(\sqrt{4(2)}\) = \(\sqrt{4}\) × \(\sqrt{2}\) = 2\(\sqrt{2}\)
\(\sqrt{24}\) = \(\sqrt{4(6)}\) = \(\sqrt{4}\) × \(\sqrt{6}\) = 2\(\sqrt{6}\)
Back to *
= 8 - 12\(\sqrt{3}\) - 20(2\(\sqrt{2}\) ) + 30(2\(\sqrt{6}\) )
= 8 - 12\(\sqrt{3}\) - 40\(\sqrt{2}\) + 60\(\sqrt{6}\)
Sofia earned $12 by gardening and spent$4 for lunch she would like to know how much money she has left.what the sum
Answer:
8 dollars
Step-by-step explanation:
12 minus 4 is 8
8
Step-by-step explanation:
12-4=8
She had 12 used 4 bucks, she has 8 left over from lunch
On august 23, quincy transferred $75 from his checking account to his savings account. complete that row in his check register.
To complete the row in Quincy's check register for the transfer of 75 from his checking account to his savings account on August 23, follow these steps:
1. Start by opening Quincy's check register.
2. Locate the row corresponding to the transaction date, which is August 23.
3. In the "Check #" column, write "Transfer" or any other identifier you prefer to indicate that this is a transfer rather than a check.
4. In the "Date" column, write "August 23".
5. In the "Description" column, write "Transfer to Savings" or a similar description to explain the purpose of the transfer.
6. In the "Payment/Debit" column, write "75". This indicates the amount that Quincy transferred from his checking account to his savings account.
7. Leave the "Deposit/Credit" column blank, as this is a transfer from one account to another and does not involve a deposit or credit.
8. Finally, calculate the new balance in Quincy's checking account after the transfer and enter it in the "Balance" column.
Remember to double-check your entries for accuracy before moving on to the next transaction in Quincy's check register.
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On August 23, Quincy transferred $75 from his checking account to his savings account. To complete that row in his check register, Quincy should follow these steps:
1. Begin by locating the row corresponding to August 23 in the check register. This row should include columns for the date, description, debit (amount withdrawn), and credit (amount deposited).
2. In the date column, write "August 23".
3. In the description column, write "Transfer to savings account".
4. In the debit column, write "$75". This represents the amount that Quincy transferred from his checking account to his savings account.
5. Leave the credit column blank since Quincy is transferring money out of his checking account.
6. Double-check your work to ensure accuracy.
Here is how the completed row should look in Quincy's check register:
| Date | Description | Debit ($) | Credit ($) |
|-------------------|------------------------------------------|---------------|----------------|
| August 23 | Transfer to savings account | $75 | |
In conclusion, to complete the row in Quincy's check register for the $75 transfer from his checking account to his savings account, he should record the date, description, and debit amount in the corresponding columns. The credit column should be left blank since money is being transferred out of his checking account.
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Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
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The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
Answer:
aₙ = 8n + 27Step-by-step explanation:
\(a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27\)
Multiplying a measure
by a scale to produce a
reduced or enlarged
measure
Answer:
we conclude that:
If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruentStep-by-step explanation:
A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.
The image can be obtained by multiplying the measure of the original object by a scale factor.
If the scale factor > 1, the image is stretched
If the scale factor < 1, the image is reduced
If the scale factor = 1, the image and object will be congruent
For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.
Dilation with scale factor 2, multiply by 2.
(x, y) → (2x, 2y)A(2, 2) → (2(2), 2(2)) = A'(4, 4)
So, the image point A'(4, 4) is enlarged.
Dilation with scale factor ½, multiply by ½.
(x, y) → (½x, ½y )A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)
So, the image point A'(1, 1) is reduced.
Therefore, we conclude that:
If the scale factor > 1, the image is stretchedIf the scale factor < 1, the image is reducedIf the scale factor = 1, the image and object will be congruentThe radius of a circle is measured to be (10.6±0.6)m. Calculate each of the following and give the uncertainty in each value. (a) the area of the circle m
2
±m
2
(b) the circumference of the circle m±m
(a) The area of the circle is approximately 352.77 m² ± 39.77 m².
(b) The circumference of the circle is approximately 66.77 m ± 3.77 m.
To calculate the area and circumference of the circle and their uncertainties, we'll use the following formulas: (a) Area of a circle: A = πr²
(b) Circumference of a circle: C = 2πr
Given: Radius (r) = 10.6 ± 0.6 m
(a) Area of the Circle:
To calculate the area, we'll substitute the given value of the radius into the formula and calculate the area.
A = πr²
= π(10.6 m)²
= π(112.36 m²)
≈ 352.77 m² (rounded to two decimal places)
To determine the uncertainty in the area, we'll use the formula for propagated uncertainty:
Uncertainty in A = |(∂A/∂r)| × Uncertainty in r
Where (∂A/∂r) is the partial derivative of A with respect to r.
∂A/∂r = 2πr
Substituting the values:
Uncertainty in A = |(2πr)| × Uncertainty in r
= |(2π × 10.6 m)| × 0.6 m
= 39.77 m² (rounded to two decimal places)
Therefore, the area of the circle is approximately 352.77 m² ± 39.77 m².
(b) Circumference of the Circle: To calculate the circumference, we'll substitute the given value of the radius into the formula and calculate the circumference.
C = 2πr
= 2π(10.6 m)
≈ 66.77 m (rounded to two decimal places)
To determine the uncertainty in the circumference, we'll again use the formula for propagated uncertainty:
Uncertainty in C = |(∂C/∂r)| × Uncertainty in r
Where (∂C/∂r) is the partial derivative of C with respect to r.
∂C/∂r = 2π
Substituting the values:
Uncertainty in C = |2π| × Uncertainty in r
= 2π × 0.6 m
≈ 3.77 m (rounded to two decimal places)
Therefore, the circumference of the circle is approximately 66.77 m ± 3.77 m.
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A space shuttle travels at 2.6 x 10,000 feet per second. An hour is 3.6 x 1,000 seconds. This expression can be used to find the number of feet the space shuttle travels in an hour. How many feet does the shuttle travel in an hour?
Answer:
7.22 feet
Step-by-step explanation:
From the question,
s = d/t................. Equation 1
Where s = speed of the space shuttle, d = distance traveled by the shuttle in an hour, t = time taken to travel the distance
make d the subject of the equation,
d = s×t.................... Equation 2
Given: s = 2.6×10000 feet per seconds, t = 1 hour = 3.6×1000 seconds.
Substitute these values into equation 2
d = (2.6×10000)/(3.6×1000)
d = 26000/3600
d = 7.22 feet.
Hence the shuttle travels 7.22 feet in an hour
Choose all of the equations that are true,
DA +8=2
D
***
10
Answer:
B. 1/4 ÷ 8= 1/32
D. 1/8÷4= 1/32
E. 1/4÷4=1/16
Step-by-step explanation:
Answer:
should be B D E___________
in a standard normal distribution, the probability that z is greater than zero is
Answer:
50%
Step-by-step explanation:
The distribution is symmetrical about the y-axis.
The probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.
What is Probability?The branch which deals with the occurrence of a random event is known as probability.
The area under the curve to the right of z = 0 is equal to the area under the curve to the left of z = 0. So the standard normal distribution is symmetric about the mean of zero
As the total area under the curve is equal to 1, each of these areas must be 0.5 or 50%.
In a standard normal distribution, the probability that z is greater than zero is 0.5, or 50%.
Therefore, the probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.
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After completing the fraction division 5 divided 5.3 miko used multiplication shown to check her work
Answer:
True
Step-by-step explanation:
Miko's work is not shown in this question. Regardless, her process of using multiplication to check her work is correct. When performing a division problem, you can multiply the quotient by the divisor and the product of this multiplication process should be equal to the dividend of the division problem. For example,
5 / 5.3 = 0.9434
0.9434 * 5.3 = 5
Write a quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, −17) .
f(x)=
Answer:
Step-by-step explanation:
Given,
Vertex (h, k ) = (1,0)
Now,
We know,
f(x) = a(x-h)²+k
Since, it passess through (2, −17)
Put x = 2 and y = - 17
or, -17 = a(2 - 1)² + 0
or, -17 = a
Now,
f(x) = a(x - h)² + k
= -17(x - 1)² + 0
= -17x² + 34x - 17