Answer:
1820
Step-by-step explanation:
Surface area= 2\(\pi\)\(r^{2}\) + 2
2\(\pi\) \((10)^{2}\) + 2
628 + 1193.2
= 1821.2
53% of 2343 american adults surveyed said, they have watched digitally streamed tv programming on some type of device. what sample size would be required for the width of a 99% ci to be at most 0.05 irrespective of the value of at 99%
The sample size that would be required for the width of 99% is 2653.
What is sample size?The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.
The following details are given:
Margin of error, E = 0.025; Significance Level, = 0.01
The proportion p is estimated to be p = 0.53.
The significance level with a critical value of 0.01 is 2.58.
The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:
n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2
As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that
n >= 2652.97 and that it must be an integer value.
Sample size is 2653.
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1. A triangle has a perimeter of 8x^2 - xy + 4y^2 If two sides are known to be 2x^2 + 2xy and 4x^2 + 3y^2, then what expression represents the length of the third side? A. x^2 - 5xy + 3y^2B. 2x^2 -3xy + y^2C. -x^2 +5xy + 3y^2D. -2x^2 + 9xy + 4
we add up the two sides we have
\(2x^2+2xy+4x^2+3y^2=6x^2+2xy+3y^{2^{}}\)then, the perimeter is the sum of all sides, therefore we subtract the above expression
\(\begin{gathered} 8x^2-xy+4y^2-(6x^2+2xy+3y^2) \\ 8x^2-xy+4y^2-6x^2-2xy-3y^2 \\ 2x^2-3xy+y^2 \end{gathered}\)thats the expression, letter B
At the city museum, child admission is $5.60 and adult admission is $9.50. On Friday, 170 tickets were sold for a total sales of $1228.90. How many child tickets were sold that day?
The number of child tickets sold is 99.
What is a system of equations?A system having more than two equations is known as a system of equations.
Given that, the cost of a child ticket and the cost of an adult ticket are $5.60 and $9.50 respectively.
Let the number of child tickets sold and the number of adult tickets sold be s and a, then
s + a = 170
a = 170 - s
The total cost of s child tickets and a adult tickets is:
5.6s + 9.5a = 1228.90
Substitute a= 170 -s into the above equation:
5.6s + 9.5(170 - s) = 1228.90
5.6s + 1615 - 9.5s = 1228.90
3.9s = 386.1
s = 99
Hence, the number of child tickets sold is 99.
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Solve for x:
2x² - 2x+5=0
By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.
How to solve a quadratic function by the quadratic formula
Let be a quadratic function of the form a · x² + b · x + c = 0, whose roots can be found by means of the following formula:
\(x = \frac{-b \pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\) (1)
Where a, b, c are the coefficients of the quadratic function.
In we know that 2 · x² - 2 · x + 5 = 0, then the roots of the polynomial are, respectively:
\(x_{1} = \frac{2 + \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)
\(x_{1} = \frac{2 + \sqrt{4-40}}{4}\)
x₁ = 0.5 + i 1.5
\(x_{2} = \frac{2 - \sqrt{(-2)^{2}-4\cdot (2)\cdot (5)}}{2\cdot (2)}\)
\(x_{2} = \frac{2 - \sqrt{4-40}}{4}\)
x₂ = 0.5 - i 1.5
By quadratic formula, the roots of the quadratic function 2 · x² - 2 · x + 5 = 0 are two conjugated complex numbers: x₁ = 0.5 + i 1.5 and x₂ = 0.5 - i 1.5, respectively.
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1. Is this a function? (answer Yes, or No) 2. Find the Domain. 3. Find the Range
Answer:
Step-by-step explanation:
yes it is a function
Suppose you see a lightning flash and hear a thunder clap exactly 10 seconds later. The speed of sound is 1080 feet per second and there are 5280 feet in a mile. Estimate, to the nearest half mile, how many miles you are from the lightning flash. Assume the speed of light is infinite.
Answer:
\(\approx 2\ miles\)
Step-by-step explanation:
Difference of 10 seconds between the lightning flash and its thunder clap.
Given that the speed of light is infinite.
So, lightning will be seen at the same time it happens.
10 seconds is the time taken by the sound to reach to the person.
Time taken = 10 seconds
Speed of sound = 1080 ft/sec
To find:
Distance from lightning flash in miles.
Solution:
First of all, let us a have a look at the formula:
\(Distance = Speed \times Time\)
Putting the given values:
Distance = \(1080\times 10 = 108000\ feet\)
5280 feet = 1 mile
1 feet = \(\frac{1}{5280}\) miles
10800 feet = \(\frac{1}{5280}\times 10800 \approx 2\ miles\)
Something's Strange about this little problem..
99 + 2 = ?
Answer:
the answer is 101 !!!
There's isn't nothing strange your just over thinking it!
Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero?
Answer:
$16
Step-by-step explanation:
$24 - $8 = $16
Answer:
$ 16
Step-by-step explanation:
$ 24 - $ 8 = $ 16
Ayuden por favor, no entiendo este problema
We will get that the angle theta is:
θ = β/2
How to find the value of theta?Remember that the sum of the interior angles of any triangle must be equal to 180°.
Now, looking at the triangle in the left, we can see that the top angle is equal to:
180 - 2α
The right angle is equal to:
180 - 2β
And the left angle is α
Then we can write:
α + (180 - 2α) + (180 - 2β) = 180
-α - 2β = -180
α = 180 - 2β
Now we can go to the other triangle, where theta is, and write:
α + β + 2θ = 180
Replacing what we found above, we get:
180 - 2β + β + 2θ = 180
-β + 2θ = 0
θ = β/2
That is the best simplification we can get with the given diagram.
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evaluate the integral using the following value +1 points LarCalcET7 5.3.038. Evaluate the integral using the following values. 8 8 8 | dx = 6 x3 dx = 1,020, x dx = 30, 2 2 x dx Talk to a Tutor Need Help? Read It
To evaluate the integral, we will substitute the given values into the integral expression and perform the necessary calculations.
Replace the variable x with the given values in the integral expression:
∫[8, 8] x^3 dx
Evaluate the integral using the power rule for integration:
∫[8, 8] x^3 dx = [1/4 x^4] evaluated from 8 to 8
Substitute the upper and lower limits into the evaluated expression:
[1/4 (8)^4] - [1/4 (8)^4]
Simplify the expression:
(1/4) * 4096 - (1/4) * 4096
Perform the arithmetic:
1024 - 1024 = 0
The integral evaluates to 0.
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Two trains travel for 11 hours, starting from the same place traveling in opposite directions. One train travels at an average rate that is 11 miles per hour faster than the other one. Find the rate of the slower train if they are 635 miles apart after FIVE hours.
Answer:
58 mph
Step-by-step explanation:
Let s represent the speed of the slower train. Then the distance apart is ...
distance = speed × time
s(5) +(s +11)(5) = 635
10s = 580 . . . . subtract 55
s = 58 . . . . . . . divide by 10
The slower train's rate is 58 miles per hour.
ng an experiment near an empty pool. a student of mass 40kg is standing on one end of a board as the board hangs over the pool as shown. the board is of uniform density, has a length l, and is positioned such that the pivot point is l/3 from the end of the board. the board is just about to tip over into the pool. how far from the pivot point must a 60kg student stand so that the board is just about to tip over?
The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.
Due to the fact that mass is the quantity of matter contained in an item and does not change with gravity, mass is always the same. As long as the amount of matter in an object doesn't change, its mass will remain constant. In contrast, an object's weight refers to the force of gravity acting on it.
No matter where you are in the cosmos, you have the same mass since mass is a measurement of how much matter is in an object. But because weight measures the force between an object and the body it is resting on, it fluctuates (whether that body is the Earth, the Moon, Mars, et cetera).
Given : A mass of student 40 kg
length is represented by l
Position of the pivot point from the board = l/3
The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.
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state your hypothesis from part a for the percentage of white versus pink beans in your container
The hypothesis is that the percentage of white and pink beans in the container is equal. To test this, a random sample can be taken and the percentages of white and pink beans in the sample can be compared.
We can formulate the following hypothesis for the percentage of white versus pink beans:
Hypothesis: The percentage of white beans in the container is equal to the percentage of pink beans.
This hypothesis assumes that the container is well-mixed, and that there is no difference in weight, size or shape between the white and pink beans that would affect their distribution. We can test this hypothesis by taking a random sample of beans from the container, and counting the number of white versus pink beans in the sample.
If the percentages of white and pink beans in the sample are similar, then we can accept the hypothesis. However, if there is a significant difference in the percentages, we would reject the hypothesis and assume that the container is not well-mixed or that there is a difference in the weight or size of the beans.
In summary, the hypothesis for the percentage of white versus pink beans in the container is that the percentages of white and pink beans are equal. This hypothesis can be tested by taking a random sample of beans and comparing the percentages of white versus pink beans in the sample.
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If 9 - X= 2, what does x equal?
Answer:
x=7
Step-by-step explanation:
how is the triangle proportionality theorem used to solve for the length of the missing side of a triangle
Triangle proportionality theorem is used for finding the length of the missing side of the triangle .
For example , let's take a question to solve.
We have to find the value of x, in the given dig.
If DEbar || BCbar , then AD/DB = AE/EC
The lines QR¯¯¯¯¯ and ST¯¯¯¯¯ are parallel.
Therefore, by the Triangle Proportionality Theorem,
PS/QS=PT/RT
Substitute the values and solve for x .
6/2=9/x
Cross multiply.
6x=18
Divide both sides by 6 .
6x/6=18/6x=3
The value of x is 3 .
Therefore , the missing side of the triangle is 3
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Find the area of a trapezoid. Help me pls for 13 points
Answer:
Area would be 110
What percent of 80 is 48? Round your answer to the nearest hundredth if necessary.
Answer:
60%
Step-by-step explanation:
Mr. Jay has a rectangular yard that he drew a diagonal down. He wants to put a fence up on the diagnol but needs to know how long it should be. The base of the rectangular yard is 50 feet, and the height is 60 feet. How long should the diagonal fence be?
Answer:
78.1 feet
Step-by-step explanation:
I’m assuming the diagonal is inside the rectangle. Thus we can use Pythagoras theorem to solve it.
a² + b² = c²
A is 50 and b is 60 so just sub in the values.
√(50² + 60²) = c
C is roughly 78.1 when rounded to two decimal places
A constant force of 56 pounds is applied at an angle of 35º to pull a 16 foot metal door shut. How much work is done?
a
513.9 ft-lbs
b
734.0 ft-lbs
c
−383.7 ft-lbs
d
−809.7 ft-lbs
(b) 734.0 ft-lbs of work is done.
To find the work done by the force, we need to use the formula:
Work = force x distance x cos(θ)
where:
force = 56 pounds (the given constant force)
distance = 16 feet (the distance the door is being pulled)
θ = 35 degrees (the angle between the force and the displacement of the door)
We need to convert the angle to radians to use it in the formula:
theta = 35 degrees x (pi/180) = 0.6109 radians
Now we can substitute the values into the formula:
Work = 56 pounds x 16 feet x cos(0.6109 radians)
Work = 734.0 ft-lbs (rounded to one decimal place)
Therefore, the answer is (b) 734.0 ft-lbs.
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Can anyone help me on this question? Plese asap
If f(x) = 2x - 5 , Find f(3).
Substitute 3 for x then type your final answer.
Answer:
f(3) = 1
Step-by-step explanation:
To find f(3), plug in 3 as x and simplify the expression:
f(x) = 2x - 5
f(3) = 2(3) - 5
f(3) = 6 - 5
f(3) = 1
So, f(3) = 1
please make answer and steps clear
If Lim (3+ *) - 5 = 5 100 J=1 for some function f(x), then: 1. so f(x) dx = Check
The function f(x) to proceed further.
What is function f(x) dx?
The think you might have a typo in your question, as some parts are unclear. However, based on the provided terms, I'll try to address a related problem. Please provide a corrected question if my interpretation is not what you intended.
Given a function f(x) and the statement:
lim (x -> 3) (f(x) - 5) = 5, find the value of the integral ∫f(x) dx from 1 to 100.
To solve this problem, we first need to find the function f(x) from the provided limit statement.
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Plz help with question
Answer:
can I have a cause for me and I can do that the next day or
What is the interior angle measure of a polygon with 33 sides
Answer:
169.0909...°
Step-by-step explanation:
[(n - 2)180]/n =
= [(33 - 2)180]/33
= 169.0909...°
Answer:
10.90909091
Step-by-step explanation:
you divide 360 by the amount of vertices
Solve the system by elimination (please show all the steps!)
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5
Answer:
i think its z%/67
Step-by-step explanation:
becuase if you add it up it is 68 but if you sub on it its ether 67 or 63
A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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The table shows the weights of bunches of
bananas and the price of each bunch. Identify
the constant of proportional
ity. Write an
equation to relate weight, w, to the price, p.
The constant of proportionality is: k = 0.45
The equation is: p = 0.45w.
How to Write the Equation of a Proportional Relationship?The equation that models the proportional relationship between two variables, x and y, can be expressed in slope-intercept form as y = kx, here, the value of k is the constant of proportionality between the two variables x and y.
Thus, constant of proportionality, k = y/x.
In the table given, we can use the coordinates of one point, (3, 1.35), to find the constant of proportionality, k:
Constant of proportionality, k = 1.35/3
Constant of proportionality, k = 0.45
To write the equation of the relationship between weight (w) and price (p), substitute k = 0.45 into p = kw.
p = 0.45w
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Can someone help me please
Answer:
0.19 50% 15/20 9/10 95%
Step-by-step explanation:
I know
Help me please find the equation of the line
Answer:
y= \(\frac{-1}{24}\)x - \(\frac{3}{4}\)
Step-by-step explanation:
(4,-1),(6,1): two points
-1(1)/4(6): find slope
slope: \(\frac{-1}{24}\)
write in point-slope form: y+1=\(\frac{-1}{24}\)(x-6)
y= \(\frac{-1}{24}\)x - \(\frac{3}{4}\)
) a tank contains 100 gallons of water and 50 ounces of salt. water containing a salt concentration of 1 4 (1 1/2 sin(t)) ounces per gallon flows into the tank at a rate of 2 gallons per minute, and the mixture in the tank flows out at the same rate. find the amount of salt in the tank at any time. what is the long-time behavior of the solution (oscillations, limit/no limit)?
(0.042 / 1.01) + 49.6e^(-t / 100) (in ounces)
The given equation can be solved with the help of the concept of differential equations.
Step 1: To find the rate of change of salt in the tank, we should start with finding the rate of change of salt concentration. The rate of change of salt concentration can be found using the given equation as follows:(dS / dt) = 1.4(1.5sin(t)) - (C(t) / V(t))(dS / dt) = 1.4(1.5sin(t)) - (S(t) / V(t)) x (2 / V(t))(dS / dt) = 1.4(1.5sin(t)) - (S(t) / V(t)) x (2 / 100)
Step 2: To find the rate of change of volume, we can use the fact that the volume remains constant. Hence,(dV / dt) = 0
Step 3: Now, we can use the relation between the amount of salt and the concentration of salt.(dS / dt) = (C(t) / V(t))(dV / dt) + (2 / 100) x 1.4(1.5sin(t))(dS / dt) = 0 + 0.042sin(t) - (S(t) / 100)(dS / dt) + (S(t) / 100) x (2 / 100)The resulting equation is given by:(dS / dt) = 0.042sin(t) - (S(t) / 100) + (S(t) / 5000)
Step 4: The above equation is a linear first-order differential equation. We can solve this using the integrating factor method. Let the integrating factor be e^(t / 100).Multiplying both sides of the equation with the integrating factor and simplifying, we get(e^(t / 100))(dS / dt) + (1 / 100)e^(t / 100)S(t) = 0.042e^(t / 100)The left-hand side of the equation can be written in the form(d / dt)(e^(t / 100)S(t)) = 0.042e^(t / 100) Therefore, e^(t / 100)S(t) = (0.042 / 1.01)e^(t / 100) + c where c is the constant of integration. At t = 0, the amount of salt is 50 ounces.Therefore,50 = (0.042 / 1.01) + c(c = 50 - 0.042 / 1.01 = 49.6)Therefore, e^(t / 100)S(t) = (0.042 / 1.01)e^(t / 100) + 49.6S(t) = (0.042 / 1.01) + 49.6e^(-t / 100)The long-time behavior of the solution is given bye^(-t / 100)S(t) -> 0as t -> infinity. Therefore, the solution approaches a limit, and there are no oscillations. The amount of salt in the tank at any time t is given by S(t) = (0.042 / 1.01) + 49.6e^(-t / 100) (in ounces)
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