A large sheet has charge density σ
0
=+588×10
−12
C/m
2
A cylindrical Gaussian surface (dashed lines) encloses a portion of the sheet and extends a distance L
0
on either side of the sheet. The areas of the ends are A
1
and A
3
, and the curved area is A
2
. Only a small portion of the sheet is shown. If A
1
=0.1 m
2
,L
0
=1 m,ε
0
=8.85×10
−12
C
2
/Nm
2
. How much is the net electric flux through A
1
?
The electric field due to the sheet on the curved surface. A large sheet has charge density σ0 the net electric flux through A1 is - 5.18 x 10^(-7) Nm²/C.
The flux through any closed surface is equal to the total charge enclosed divided by ε0.
ϕE=Aq/ε0
ϕE being the electric flux, A being the area of the closed surface, q being the charge enclosed in it, andε0 being the permittivity of free space. q is negative due to the negative charge on the sheet.
The curved surface does not have any flux because of symmetry.ϕE=A1E1+A3E3 - (A1 + A3) E2ϕE is the net flux through A1 and A3,E1 and E3 are the electric fields due to the sheet at A1 and A3 respectively, and E2 is the electric field due to the sheet on the curved surface. E1 = E3, because they are equidistant from the charged sheet, so the electric field at A1 is equal to that at A3. E2 = (σ/2ε0).
A1 + A3 is equal to A2, so we can write the equation as:ϕE= A1(E1 - (σ/2ε0)) orϕE = A1σ/ε0ϕE = (0.1) x (588 x 10^(-12))/(8.85 x 10^(-12)) = - 5.18 x 10^(-7) Nm²/C, after substitution.
Therefore, the net electric flux through A1 is - 5.18 x 10^(-7) Nm²/C.
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A vending machine containing jellybeans will only dispense one jellybean at a time. Inside the container is a mixture of 24 jellybeans: 12 red, 8 yellow, and 4 green. The yellow jellybeans have a rotten egg flavor. Write each answer as a decimal rounded to the nearest thousandth and as a percent rounded to the nearest whole percentage point. Part A: What is the probability of getting a red jellybean on the first draw? Decimal: P(1 st Red )= Percent: P(1 st Red )= Part B: Let's say you did get a red jellybean on the first draw. What is the probability that you will then get a green on the second draw? Decimal: P(2 nd Green | 1st Red )= Percent: P(2 nd Green | 1st Red )= Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different? Part D: What is the conditional probability of the dependent event "red then green?" Decimal: P(1st Red and 2 nd Green )= Percent: P(1 st Red and 2 nd Green )=
Part A:What is the probability of getting a red jellybean on the first draw?
Given information: Red jellybeans = 12 Yellow jellybeans = 8 Green jellybeans = 4 Total jellybeans = 24 The probability of getting a red jellybean on the first draw is:
Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5
Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%
Part B: Let's say you did get a red jellybean on the first draw.
What is the probability that you will then get a green on the second draw?
Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%
Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?
Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:
Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174
Thus, the answer would be the same as Part B.
Part D: What is the conditional probability of the dependent event "red then green?"
Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2
Probability of the second jellybean being green given that the first jellybean is red is 4/23
Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23 Decimal: P(1st Red and 2nd Green )=2/23 Percent: P(1st Red and 2nd Green )=8.70%
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Find the value of – 6 – (-10) + (-2)
Answer 6
Step-by-step explanation:
= -6 - (-10 + (-2))
= -6 - (-12).
= -6 + 12
= 6
Which expression is equivalent to √-80? 0 -4ſ5 O -4.5 O 4.5 O45
Answer:
None.
Step-by-step explanation:
There is no expression for the square root of negative numbers. In other words it is undefined.
Answer:
4√5
Step-by-step explanation:
What is the equation of the line that passes through the point (-7, 2) and has a
slope of -12
Answer:
y-2=-12(x+7)
Step-by-step explanation:
Plug the numbers in the blanks
y-__=__(x-__) Blank 1 equals the y in the point. Blank 2 equals the slope. Blank 3 equals the x in the point.
Answer:
y - 2 = -12(x + 7)
Step-by-step explanation:
We have to use point-slope form to find the answer of this question, this form is y-y^1 = m(x-x^1)
First we have to input our points into the equation
y - 2 = -12(x + 7)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
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All swimming equipment is on sale with a 30% discount. A snorkeling set regularly sells
for $50. Find the discount.
Answer:
15
Step-by-step explanation:
50 * .30=15
90 students went on an activity day.
Complete the two-way table below.
Cycling
Swimming
Total
Males
28
19
Females
32
43
Total
90
One of these students is chosen at random.
What is the probability that this student participated in swimming?
The probability that one random student participated in swimming is 1/90.
What is probability ?
The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences. Simply put, probability is the likelihood that something will occur.
We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics describes the examination of events subject to probability.
Probability = Number of favorable outcomes / Number of total outcomes.
Number of favorable outcomes = 1
Number of total outcomes = 90
So,
Probability = 1/90
Hence, the probability that one random student participated in swimming is 1/90.
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Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:
The price at which the total quantity supplied is 250 is $11.58.
In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.
Supply 1: P = 6 + 0.7Q
Supply 2: P = 16 + 0.6Q
To find the equilibrium price, we set the total quantity supplied equal to 250:
0.7Q + 0.6Q = 250
1.3Q = 250
Q = 250 / 1.3 ≈ 192.31
Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:
P = 6 + 0.7Q
P = 6 + 0.7 * 192.31
P ≈ 6 + 134.62
P ≈ 140.62
Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.
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Mhanifa please help this is my last one !
Answer:
9)
7.7/3.6 = 2.3/b b = 2.3*3.6/7.7b = 1.0810)
v/4.9 = 5.4/6.1v = 4.9*5.4/6.1v = 4.3411)
6.3/x = 2.56/9.3x = 6.3*9.3/2.56x = 22.8912)
3.4/x = 2.17/7.7x = 3.4*7.7/2.17x = 12.06Find the volume of the figure. Use 3.14 for , and round to the nearest whole number. (Hint: Find the hemisphere and cylinder then add together.)
The volume of this figure is equal to 1,099 m³.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the parameters, we have the following:
Volume, V = 3.14 × 5² × 12
Volume, V = 942 m³.
Volume of a hemisphere = 2/3 × πr³
Volume of a hemisphere = 2/3 × 3.14 × 5³
Volume of a hemisphere = 157 m³.
Volume of figure = Volume of cylinder + Volume of hemisphere
Volume of figure = 942 + 157
Volume of figure = 1,099 m³.
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1/6 - 3/9 - 3/8 ayúdenme plis
Answer:
-39/72 ó -13/24
Step-by-step explanation:
las fracciones convertidas son 12/72 - 24/72 - 27/72
Graph the following inequality on a number line. Upload your picture.
x > 3
Answer:
x>3
Step-by-step explanation:
q29:a survey was conducted with 900 ohio university students. one of the conclusions fromthis survey was that 55% of the students believed the academics at ohio university were 'verystrong'. based on these sample results, are you convinced that a majority (i.e. over 50%) of allstudents believe the academics are 'very strong'?
Based on the information provided, we can conduct a hypothesis test to determine if a majority of all students at Ohio University believe the academics are 'very strong'.
Let's set up the null and alternative hypotheses:
Null hypothesis (H₀): The proportion of all students who believe the academics are 'very strong' is equal to 50% or less.
Alternative hypothesis (H₁): The proportion of all students who believe the academics are 'very strong' is greater than 50%.
To test these hypotheses, we can use a one-sample proportion test. We will compare the sample proportion (55%) to the hypothesized proportion (50%) and assess if the difference is statistically significant.
Using appropriate statistical methods, such as calculating the test statistic and obtaining the p-value, we can evaluate the evidence against the null hypothesis. If the p-value is less than the chosen significance level (e.g., 0.05), we would reject the null hypothesis and conclude that a majority of all students at Ohio University believe the academics are 'very strong'. Otherwise, if the p-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim of a majority belief.
Please note that without the actual test results or the p-value, we cannot make a definitive conclusion in this particular case.
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Find the length s of the arc of a circle of 28 miles subtended by the central angle (1)/(7)radians
The length s of the arc of a circle subtended by the central angle (1)/(7) radians is 4 miles.
Given data: The radius of the circle is r=28 miles
The central angle subtended is α=(1)/(7) radians
Formula used: The length s of the arc of a circle subtended by a central angle is given by,
s=rα
Where, s = length of arc of circle r = radius of circle α = central angle subtended
Substituting the given values in the above formula we get:
s = 28 × (1/7)⇒
s = 4 miles
Therefore, the length s of the arc of a circle subtended by the central angle (1)/(7) radians is 4 miles
Therefore, the length s of the arc of a circle subtended by the central angle (1)/(7) radians is 4 miles.
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Faizah is paid $11 per hour for her work at a factory. She works 9 hours a day and 24 days a month. She saves $594 a month. Express the amount she saves as a percentage of her income.
Answer:
The amount she saves is 25% of her income
Step-by-step explanation:
She is paid $11 per hour
She works 9 hours per day
and for 24 days per month
So, she works 9(24) hours per month
= 216 hours per month
Now, she is paid $11 hourly, so for 216 hours,
she will have 11(216) = $2376
Total income = $2376 per month
Saving = $594 per month
As a percentage, we divide the savings by the total income,
savings/(total income) = 594/2376 = 1/4 = 0.25
Hence we get 25%
Can y’all plz help me plz
Answer:
x= 12/-4
x=-3
Step-by-step explanation:
make it braintliest please
heeeeeeeeeeeeeeeeeeeeelllllllllppppppp
Answer:
(0,2.5)
(3.5,0)
Step-by-step explanation:
it may help you to understand.
The vertex of a parabola is (1,3) and another point on the parabola is (-1,-1). Which point is also on the parabola?
A. (-3,3)
B. (0,3)
C. (3,-1)
D. (1,0)
Answer:
Step-by-step explanation:Vertex form of a quadratic equation is y=a(x-h)2+k, where (h,k) is the vertex of the parabola.
The vertex of a parabola is the point at the top or bottom of the parabola.
'h' is -6, the first coordinate in the vertex.
'k' is -4, the second coordinate in the vertex.
'x' is -2, the first coordinate in the other point.
formulas used to calculate the free cash flow to firm (fcff)?
(OCF): OCF = Net Income + Depreciation & Amortization - Changes in Working Capital, (CapEx): CapEx = Investment in Property, Plant & Equipment + Investment in Intangible Assets. therefore, (FCFF): FCFF = OCF - CapEx
The Free Cash Flow to Firm (FCFF) is a measure of a company’s cash flow available for distribution to shareholders and debt holders. To calculate FCFF, the following three steps are taken:
1. Calculate Operating Cash Flow (OCF): OCF is calculated by taking net income, adding back depreciation and amortization, and subtracting any changes in working capital.
2. Calculate Capital Expenditures (CapEx): CapEx includes investments in property, plant, and equipment, as well as any investments in intangible assets.
3. Calculate Free Cash Flow to Firm (FCFF): FCFF is calculated by subtracting CapEx from OCF. This figure represents the cash flow available for distribution to shareholders and debt holders.
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What is the recursive rule for this geometric sequence? 7, 21, 63, 189,…
1. a1 = 7;an = 3 • an - 1
2. a1 = 7;an = 1/3 • an - 1
3. a1 = 3;an = 7 • an - 1
4. a1 = 21;an = 7 • an - 1
Answer:
The top choice is the answer. a1=7; an= 3*a_(n-1)
Step-by-step explanation:
Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.
Take the 3rd term (63) and divide it by the second term.
63/21 = 3
What this means is that each term in the sequence is multiplied by 3 to get to the next term.
The first term is 7
So the answer is an = 3* a_n-1
The answer must be the top one. See if it works.
a2 = 3*a_(2 -1 )
a2 = 3 * a1
a2 = 3 * 7
a2 = 21 which it does.
The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
5+3+2 = 151022 9+2+4 =183652 8+6+3 =482466 5+4+5 =202541 Then...... 7+2+5 =?????? REPLY MUST PROVE YOU ARE GENIUS!!!! (100pts)
Answer:
7 + 2 + 5 = 143547
Step-by-step explanation:
a + b + c = [a · b][a · c][a · b + a · c - b]
The first two digits of the answer are the product of the 1st and 2nd terms of the question.
The 3rd and 4th digits of the answer are the product of the 1st and 3rd terms of the question.
The 5th and 6th digits of the answer are the sum of the products of the 1st & 2nd terms and the 3rd & 4th terms of the answer minus the 2nd term of the question.
7 + 2 + 5 = [7 · 2][7 · 5][7 · 2 + 7 · 5 - 2]
= 143547
\(\small \bold{ 5+3+2=151022}\)
Multiply first two digits
\(\small \bold{ 5×3=15}\)
Multiply first and third digit
\(\small \bold{5×2=10 }\)
Add two number and subtract middle digit
\(\small \bold{15+10-3(middle \: digit)=22 }\)
Join three answers to get 151022
Similarly,
\(\small \bold{7+2+5=? }\)
\(\small \bold{ 7×2=14}\)
\(\small \bold{ 7×5=35}\)
\(\small \bold{ 14+35-2=47}\)
Joining them gets 143547
So ,
\(\small \bold{7+2+5=143547 }\)
The Suffolk Library has 102,673 books. The
Newberry Library has 106,329 books. How
many more books does the Newberry Library
have ?
Answer:
Step-by-step explanation:
Newberry Library has 3656 more books
what is the distance between the points (23,-33) and (4,9) if necessary round your answer to two decimal places
The distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.
What is the distance between the points (23,-33) and (4,9)?The distance between two points on a graph can be determined using the equation;
D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]
Given that;
x₁ = 23x₂ = 4y₁ = -33y₂ = 9We substitute our values into the equation above.
D = √[ ( x₂ - x₁ )² + ( y₂ - y₁ )² ]
D = √[ ( 4 - 23 )² + ( 9 - (-33) )² ]
D = √[ ( -19 )² + ( 42 )² ]
D = √[ 361 + 1764 ]
D = √[ 2125 ]
D = 46.10
Therefore, the distance between the points (23,-33) and (4,9) rounded to two decimal places is 46.10.
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we would associate the term inferential statistics with which task?
Inferential statistics involves using sample data to make inferences, predictions, or generalizations about a larger population, providing valuable insights and conclusions based on statistical analysis.
The term "inferential statistics" is associated with the task of making inferences or drawing conclusions about a population based on sample data.
In other words, it involves using sample data to make generalizations or predictions about a larger population.
Inferential statistics is concerned with analyzing and interpreting data in a way that allows us to make inferences about the population from which the data is collected.
It goes beyond simply describing the sample and aims to make broader statements or predictions about the population as a whole.
This branch of statistics utilizes various techniques and methodologies to draw conclusions from the sample data, such as hypothesis testing, confidence intervals, and regression analysis.
These techniques involve making assumptions about the underlying population and using statistical tools to estimate parameters, test hypotheses, or predict outcomes.
The goal of inferential statistics is to provide insights into the larger population based on a representative sample.
It allows researchers and analysts to generalize their findings beyond the specific sample and make informed decisions or predictions about the population as a whole.
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if mr. Wells goes out to dinner and his bill comes to $25.67 and the tax rate is 3.5% how much tax will be added bill
okay so basically its an increase of 3.5% of 25 dollars and 67 cents.
So
basically
(25.67)* .035 -----> To get .035, you will need to move the decimal to the left twice to make it into a decimal to get the percentage of the total amount.
So the total of that amount would be
89 cents ( ignore numbers after 9 because your just looking at the 2 first number after you did your equation).
Then you add the total amount ( The amount for the meal) + The TAX
So you will get 25.67 + 89 = 26.56
If you got any more questions of what I said ( because it's confusing). Tell me!
ANSWER: $26.56
Estimate 87x403 pls help
An easy way to estimate would be to choose numbers close such as 90x400, which equals 36,000.
The true answer is 87*403 = 35,061.
3 600
Step-by-step explanation:
First multiply 87 to the nearest ten then multiply 403 to the nearest hundred which will give you 90 and 400. Multiply the two to get your answer
select the slope of the line that joins the pair of points. a. (9, 10) and (7, 2) 1 of 5. 4 b. (-8, -11) and (-1, -5) 2 of 5. select choice c. (5, -6) and (2, 3) 3 of 5. select choice d. (6, 3) and (5, -1) 4 of 5. select choice e. (4, 7) and (6, 2) 5 of 5. select choice
The required slopes are:
(a) slope = 4
(b) slope = 6/7
(c) slope = -3
(d) slope = 4
(e) slope = -5/2
We know that,
When a line passing through (x₁, y₁) and (x₂, y₂)
Then the slope of the line be,
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Using this formula, calculate the slope for each given points
a. (9, 10) and (7, 2)
⇒ slope (m) = (2 - 10) / (7 - 9)
= -8/-2 = 4
So, the slope is 4.
b. (-8, -11) and (-1, -5)
⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))
= 6/7
So, the slope is 6/7.
c. (5, -6) and (2, 3)
⇒ slope (m) = (3 - (-6)) / (2 - 5)
= 9/-3
= -3
So, the slope is -3.
d. (6, 3) and (5, -1)
⇒ slope (m) = (-1 - 3) / (5 - 6)
= -4/-1
= 4
So, the slope is 4.
e. (4, 7) and (6, 2)
⇒ slope (m) = (2 - 7) / (6 - 4)
= -5/2
So, the slope is -5/2.
Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.
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What is the area of sector GPH in square yards
The area of sector GPH in square yards is equal to 157 yd².
How to calculate the area of a sector?In Mathematics and Geometry, the area of a sector can be calculated by using the following formula:
Area of sector = θπr²/360
Where:
r represents the radius of a circle.θ represents the central angle.By substituting the given parameters into the area of a sector formula, we have the following;
Area of sector = θπr²/360
Area of sector = 80(3.14/360) × (15)²
Area of sector = 0.6978 × 225
Area of sector = 157 yd²
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(3\%) Problem 16: A bicycle tire contains 1.2 liters of air at a gauge pressure of 5.4×105 Pa. The composition of air is about 78% nitrogen (N2) and 21% oxygen (O2, both diatomic molecules. How much more intemal energy, in joules, does the air in the bicycle tire have than an equivalent volume of air at atmospheric pressure and the at the same temperature?
The difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is ΔU ≈ 0.2511J/K * T
To calculate the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure, we need to consider the ideal gas law and the difference in pressure.
The ideal gas law states:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles of gas
R = ideal gas constant
T = temperature
Since we are comparing the same volume of air, we can assume V1 = V2, and the equation becomes:
P1 = n1RT
P2 = n2RT
The internal energy (U) of an ideal gas depends only on its temperature. Therefore, the internal energy of the air in the bicycle tire and the equivalent volume of air at atmospheric pressure will be the same if they have the same temperature.
To calculate the difference in internal energy, we need to consider the difference in pressure. The change in internal energy (ΔU) can be expressed as:
ΔU = n1RT - n2RT
To calculate the moles of each gas (nitrogen and oxygen) in the given composition, we need to consider their percentages.
Composition: 78% nitrogen (N2) and 21% oxygen (O2)
Volume: 1.2 liters
Pressure: 5.4×10^5 Pa
We can assume that the temperature is constant.
Let's calculate the moles of each gas:
For nitrogen (N2):
n1 = 78% * V / Vm
= 0.78 * 1.2 L / 22.4 L/mol
≈ 0.0415 mol (rounded to four decimal places)
For oxygen (O2):
n2 = 21% * V / Vm
= 0.21 * 1.2 L / 22.4 L/mol
≈ 0.0113 mol (rounded to four decimal places)
Now, we can calculate the difference in internal energy:
ΔU = n1RT - n2RT
= (0.0415 mol) * R * T - (0.0113 mol) * R * T
= (0.0415 - 0.0113) mol * R * T
= 0.0302 mol * R * T
Since the temperature (T) is the same for both scenarios, we can simplify the equation to:
ΔU = 0.0302 mol * R * T
The value of the ideal gas constant (R) is approximately 8.314 J/(mol·K).
Therefore, the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is:
ΔU ≈ 0.0302 mol * 8.314 J/(mol·K) * T ≈ 0.2511J/K * T
Please note that we need the temperature (T) in order to calculate the exact value of the difference in internal energy.
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