Answer:
2, 4, 5, 7, 15Step-by-step explanation:
Given
Data: 2, 2, 4, 4, 5, 5, 6, 7, 9, 15Numbers are already in ascending order
Lowest value= 2Q1 = 4 (median of first part)Q2 = 5 (median of full data)Q3 = 7 (median of second part)Highest value = 15So the 5 numbers are
2, 4, 5, 7, 15what percent of 925is37
Answer:
4%
Step-by-step explanation:
to find percentage do 37 divided by 925 helps it helps :)
using the formula for calculating the number of communication channels, how many channels would five people require?
The number of communication channels, 10 channels would five people require.
To find number of communication channels, we use;
On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.
Number of potential communication channels = n x (n-1)/2
Given n = 5;
→ x = 5*(5 - 1)/2
= 5*2
= 10
The number of communication channels, 10 channels would five people require.
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A certain kind of sheet metal has, on average, 7 defects per 19 square feet. Assuming a Poisson distribution, find the probability that a 34 square foot metal sheet has 8 defects. (rounded to four decimal places)
Given that the sheet metal has an average of 7 defects per 19 square feet, we can use the Poisson distribution formula to find the probability of 8 defects in a 34 square foot metal sheet.
The Poisson distribution formula is given by:P(X = x) = (λ^x * e^(-λ))/x!where λ is the average number of defects, x is the number of defects, and e is the base of the natural logarithm. For this problem, λ = (7/19) * 34 = 12.63 and x = 8. Plugging these values into the formula, we get:P(X = 8) = (12.63^8 * e^(-12.63))/8!P(X = 8) = (5428582.85 * 0.000281)/40320P(X = 8) = 0.0373Therefore, the probability that a 34 square foot metal sheet has 8 defects is 0.0373, or 3.73%, rounded to four decimal places.
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What is the measure of the missing angle DBA
A parabola with its vertex at (24,10) and its axis of symmetry parallel to the y-axis passes through point (4,290). Write an equation of the
parabola. Then find the value of y when x = 34.
Answer:
Not executable
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (24, 10) is :
f(x) = a(x - 24)² + 10
the parabola's axis of symmetry parallel to the y-axis and passing through point (4,290) means: h = 4
4 ≠ 24That means you write something wrong in your question.
The lowest common denominator of the fractions
2
3
,
1
4
, and
4
5
is
Answer:
4,3,5
Step-by-step explanation:
1/4
2/3
4/5
4,3,5
4-3/5
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
1.75=5n or 5n=1.75
Step-by-step explanation:
There are 5 n's on the bottoms so you are doing 5 times n (5n) and then 1.75 is on the top so the equation has to equal 1.75
Answer:
5n=1.75
Step-by-step explanation:
the image, the area of the tape diagram indicating 1.75 is equal to the sum of the areas of all five parts in the diagram such that each part indicates n.
here, we have assumed that 1.75 represents an area of the first rectangle , and n represents the area of each of the small rectangle
What is the common difference in the arithmetic sequence 30, 27, 24, 21, 18,
Find the x-intercept and y-intercept
from the following linear equation:
12x + 30y = 180
x - intercept = ()
y - intercept ()_
Answer:
x - intercept = (15, 0)
y - intercept = (0, 6)
Step-by-step explanation:
x-int. is when y = 0
y-int. is when x=0
Plug in y = 0 and x = 0 to get intercepts.
FOR X-INT.:
12x + 30(0) = 180
12x = 180
x = 15
x-int. is (15, 0)
FOR Y-INT. :
12(0) + 30y = 180
30y = 180
y = 6
y-int. is (0, 6)
y=5/16(x - 1)(x - 9)
Answer:
y=5/16x+-45/16
Step-by-step explanation:
The state of a spin 1/2 particle in Sx basis is defined as (Ψ) = c+l + x) + i/√7 l - x) a) Find the amplitude c+ assuming that it is a real number and the state vector is properly defined. b) Find the expectation value . c) Find the uncertainty △SX.
1) The amplitude c+ is c+l
2) The expectation value is 0
3) The uncertainty ΔSX is √(3/7) c+.
Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:
Ψ = c+ |+> + c- |->
where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.
Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->
Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.
Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).
Now, |+> can be written as:|+> = 1/√2(|l> + |r>)
Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)
Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)
Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->
Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:
c+/√2 = c+l/√2 + i/(√7√2)
Therefore, c+ = c+l
The amplitude c+ is a real number and is equal to c+l
The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>
Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)
As c+ is a real number, Im(c+) = 0
Therefore, = 0
The uncertainty ΔSX in the state |Ψ> is given by:
ΔSX = √( - 2)
where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2
Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>
Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)
Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+
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transportion Eng
[30 Marks] Q1: The traffic on the design lane of a proposed four-lane rural interstate highway consists of 6% trucks. If classification studies have shown that the truck factor can be taken as 0.75 ES
The traffic volume in one direction for the design lane of the proposed highway is 1 lane.Answer: 1 lane
The traffic on the design lane of a proposed four-lane rural interstate highway consists of 6% trucks, and the truck factor can be taken as 0.75.We need to determine the traffic volume in one direction for the design lane of the proposed highway.
Let the average daily traffic volume in one direction be ADT
Then, the number of trucks in one direction = 6% of ADT
And, the number of passenger cars in one direction
= (100 - 6)%
= 94% of ADT
∴ Number of Trucks = 0.06 ADT
Number of Passenger cars = 0.94 ADT
The equivalent standard axles of trucks = 0.75 ES
∴ Equivalent Standard Axles of Trucks = 0.75 × 0.06 ADT
Equivalent Standard Axles of Passenger cars = 0.05 ES
∴ Equivalent Standard Axles of Passenger cars = 0.05 × 0.94 ADT
Total equivalent standard axles = Equivalent Standard Axles of Trucks + Equivalent Standard Axles of Passenger cars
∴ Total equivalent standard axles = 0.75 × 0.06 ADT + 0.05 × 0.94 ADT
= (0.045 + 0.047) ADT
= 0.092 ADT
Now, the Design lane factor, FL = 0.80
For a four-lane highway, the directional distribution factor,
Fdir = 0.50(As it is not given)
We know that, Volume per lane in one direction,
Q = FL × Fdir × ADT ∕ Number of Lanes
= 0.80 × 0.50 × ADT ∕ 4
(As it is a four-lane highway)
= 0.10 ADTTotal equivalent standard axles per lane in one direction = 0.092 ADT
∴ Total number of lanes required = Total equivalent standard axles ∕ Volume per lane
= 0.092 ADT ∕ 0.10 ADT
= 0.92 or 1 lane (approx)
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The volume of the cone shown is 240 cubic meters. The height of the cone is 5 meters. Find the length of the slant height, x.
Answer:
9.4 meters
Step-by-step explanation:
We can use the formula for the volume of a cone:
V = (1/3) * pi * r^2 *h
where V is the volume, r is the radius of the base, and h is the height.
We know the volume and height of the cone, so we can solve for the radius:
240 = (1/3) * pi * r^2 * 5
r^2 = 240 / (pi * 5/3)
r^2 = 45.68
r = sqrt(45.68)
r = 6.76 meters (rounded to two decimal places)
Now we can use the Pythagorean theorem to find the slant height:
x^2 = r^2 + h^2
x^2 = 6.76^2 + 5^2
x^2 = 88.5276
x = sqrt(88.5276)
x = 9.4 meters
The equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop. determine the constant of proportionality. one-sixth 1 6 12
The constant of proportionality will be 6.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have a equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop
We can use the equation of a straight line to represent direct proportionality as -
y = mx + c
for -
c = 0
y = mx
m = y/x
Where [m] as constant of proportionality.
For -
c = 6m
constant of proportionality will be 6.
Therefore, the constant of proportionality will be 6.
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Answer:
YEs tis i, the simplifier
Step-by-step explanation:
its 6
Is ( – 9, – 6) a solution to this system of equations? y= 1/3x – 3 y = – 1/3x –
5
Step-by-step explanation:
Substitute the point (-9, -6) into the system of equations:
\( - 6 = \frac{1}{3}( - 9) - 3\)
\( - 6 = - \frac{1}{3} ( - 9) - 5\)
Simplify by multiplying and subtracting.
\( - 6 = - 6\)
Correct.
\( - 6 = -8\)
Incorrect.
(-9, -6) is not a solution of the system of equations.
4. Find the first four terms of the Taylor series at \( a=0 \) for \( f(x)=\sin (x) \).
The answer is 150.
A function f(x) = sin(x). We are supposed to find the first four terms of the Taylor series at \(`a=0`\). Derivatives of the function \(f(x) = sin(x) are:f'(x) = cos(x)f''(x) = -sin(x)f'''(x) = -cos(x)f''''(x) = sin(x)\)
So the Taylor series at\(`a=0` for `f(x) = sin(x)` is as follows:\[\sin (x)=\sin (0)+\cos (0)x-\frac{\sin (0)}{2!}x^2-\frac{\cos (0)}{3!}x^3+\frac{\sin (0)}{4!}x^4\]\)
On evaluating the above expression, we get,
\(\[\sin (x)=0+1\cdot x-0\cdot x^2-\frac{1}{3!}x^3+0\cdot x^4\]\)
Thus, the first four terms of the Taylor series at \(`a=0` for `f(x) = sin(x)` are given as follows:{0, x, 0, - x^3 / 3!, 0, x^5 / 5!...}\)The first four terms are \({0, x, 0, - x^3 / 6}.\)
Hence, the first four terms of the Taylor series at \(`a=0` for `f(x) = sin(x)` is {0, x, 0, - x^3 / 6}.\)
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Roll of the Dice Are the chances of rolling a 3 with one die the same as the chances of rolling a total of 6 with two dice? If not, which has the higher probability ?
Answer:
The probability is the same.
Step-by-step explanation:
The chances of rolling a 3 with one die is 1/6. The chances of rolling a 6 with 2 dice is 2/12.
The answer and explanation
The requried value of 'a' in the given expression is a = -12.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
8⁻⁵⁵ / 8ᵃ = 8⁻⁴³
8ᵃ = 8⁻⁵⁵ / 8⁻⁴³
8ᵃ = 8 ⁻⁵⁵ ⁺ ⁴³
8ᵃ = 8⁻¹²
Taking logs on both sides
a ln 8 = -12 ln 8 [lnbˣ = x lnb]
a = -12
Thus, the requried value of 'a' in the given expression is a = -12.
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Write two numbers that multiply to the value on top and add to the value on the bottom 81and 18
The two numbers that multiply to 81 and add to 18 are 9 and 9. This is determined either by factoring the number 81 or by solving the algebraic equations derived from the given conditions.
To find two numbers that multiply to 81 and add to 18, we can use factoring or algebraic methods. Let's explore both approaches:
Factoring:
Start by factoring 81 into its prime factors: 3 * 3 * 3 * 3.
Since the two numbers must multiply to 81, we can consider pairs of factors and check if their sum is 18:
Pair 1: 1 * 81 = 81 (sum = 1 + 81 = 82)
Pair 2: 3 * 27 = 81 (sum = 3 + 27 = 30)
Pair 3: 9 * 9 = 81 (sum = 9 + 9 = 18)
Therefore, the pair of numbers that multiply to 81 and add to 18 is 9 and 9.
Algebraic method:
Let's assume the two numbers are x and y.
According to the given conditions, we can write the following equations:
xy = 81 ...(1)
x + y = 18 ...(2)
To solve this system of equations, we can rearrange equation (2) to express one variable in terms of the other:
y = 18 - x ...(3)
Substitute equation (3) into equation (1):
x(18 - x) = 81
Simplifying the equation:
18x - x^2 = 81
Rearrange the equation and set it equal to zero:
x^2 - 18x + 81 = 0
Now, we can factor this quadratic equation:
(x - 9)(x - 9) = 0
The equation yields a repeated factor (x - 9) since both values are the same.
Thus, the solution is x = 9.
Substituting x = 9 into equation (3):
y = 18 - 9
y = 9
Therefore, the pair of numbers that multiply to 81 and add to 18 is 9 and 9.
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Find the area (shaded) and round to the tenths place if necessary.
show work please, I need work for full credit
Answer:
9π - 9
Step-by-step explanation:
Depends on what the question stated was pi (π). The area of the circle is 9(3 squared) * π. the shaded area is the area of the circle - the area of the triangle. The area of the triangle is base * high / 2. If the diameter of the circle (6) is what we use as the base, then 3 would be the high, making the area 9. This means the shaded area would be 9π - 9.
a jury has 12 jurors. a vote of at least 10 of 12 for guilty is necessary for a defendant to be convicted of a crime. assume that each juror acts independently of the others and that the probability that anyone juror makes the correct decision on a defendant is .80. if the defendant is guilty, what is the probability that the jury makes the correct decision? round your answer to 4 decimal places.
The probability that the jury makes the correct decision that the defendant is guilty is 0.7063.
In order to resolve this issue, we must determine the likelihood that the jury would find the defendant guilty. Let's divide the issue into more manageable components.
We are aware that there is a 0.80 chance that a single juror would choose correctly. If the defendant is found guilty, there is still an 80 percent chance that the jury will reach the right verdict. Consequently, if the defendant is found guilty, there is an 80 percent chance that one jury will reach the right verdict.
The likelihood that at least 10 out of 12 jurors will choose the right course of action may be calculated using the binomial distribution formula. The equation is:
\(P(X \geq k) = 1 - \sum (i=0, k-1) [\frac{i!}{(i!(n-i)!)} ]p^i*(1-p)^(^n^-^i^)\)
where:
P(X ≥ k) is the probability of at least k successes
n is the total number of trials (in this case, 12 jurors)
p is the probability of success in a single trial (in this case, 0.80)
k is the number of successes we want to find the probability of (in this case, 10)
Using a calculator or software, we can calculate this to be approximately 0.7063.
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Rice costs $x per kilogram.
Potatoes cost $(x + 1) per kilogram.
The total cost of 12 kg of rice and 7 kg of potatoes is $31.70.
Find the cost of 1 kg of rice.
Answer:
$1.3
Step-by-step explanation:
12x+7x+7=31.7
x=1.3
PLS GIVE BRAINLIEST
The perimeter of a square is 56cm. State the length of one of its sides.
Answer:
The length of one of the sides would be 14 cm.
Step-by-step explanation:
There are 4 sides to a square and the total perimeter is 56 cm meaning that we need to divide 56 by 4 to get the length of one side. 56 divided by 4 is equal to 14 cm, getting your answer. I hope this helps! Have a great day! :)
You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.
The amount that each employee will get out of the bonus to your department will be $3,000.
What will each employee get?
You manage a staff of 9 employees in your department which means that there are 10 people in total.
The amount that each person will get from the bonus will therefore be:
= 30,000 / 10 employees
= $3,000
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A study on students drinking habits wants to determine the true average number of alcoholic drinks all FSU graduate students have in a one week period. We know from preliminary studies that the standard deviation is around 1.79. How many students should be sampled to be within 0.5 drinks of population mean with 95% probability?
A. 50
B. 49
C. 24
D. 25
573 people signed up to go rafting. 13 people can fit in each raft. How many rafts
will they need?
Answer:
They will need about 44 rafts
Step-by-step explanation:
Just do 573/13
Solve the given initial-value problem. Xy' y = ex, y(1) = 9 y(x) = give the largest interval i over which the solution is defined. (enter your answer using interval notation. ) i =
The largest interval I over which the solution is defined is (-∞, ∞). I = (-∞, ∞)
To solve the given initial-value problem, we can use the method of separation of variables as follows:
1. Separate the variables by moving all terms with y to the left side of the equation and all terms with x to the right side:
y/y' = ex/x
2. Integrate both sides of the equation with respect to their respective variables:
∫y/y' dy = ∫ex/x d
ln(y) = ex + C
3. Solve for y:
y = e^(ex + C)
4. Use the initial condition y(1) = 9 to find the value of C:
9 = e^(e + C)
C = ln(9) - e
5. Substitute the value of C back into the equation for y:
y = e^(ex + ln(9) - e)
6. Simplify the equation:
y = 9e^(ex - e)
7. The largest interval I over which the solution is defined is (-∞, ∞), since there are no restrictions on the values of x or y therefore, the solution to the initial-value problem is y(x) = 9e^(ex - e) and the largest interval I over which the solution is defined is (-∞, ∞).
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A shelf has 20 bags of potatoes. Two of the bags have potatoes starting to go bad. The probability of drawing a bag with bad potatoes is less than 1. The probability of drawing a bag with good potatoes is greater than 0. What is the probability of drawing a bag with bad potatoes? what is the expected probability of the complement of the event?.
Probability of drawing bad potatoes = 0.1
The probability of drawing a bag with bad potatoes is less than 1.
The probability of drawing a bag with good potatoes is greater than 0
The probability of drawing a bag with bad potatoes as a decimal .
The probability is 20% which means 20 by hundred , which means there is a chance of being its ok.
probability of bad potatoes = 2/20
=1/10
=0.1
To find the probability of the outcomes = Number of favourable outcome / Number of total outcome.
Probability of event 1 and 2
probability of event 1 =Number of favourable outcome / Number of total outcome.
probability of event 2 = 1 -( probability of event 1)
probability of good potatoes = 1- ( probability of bad potatoes)
Probability of the given event( probability of the bad potatoes = 1-(0.1)
Thus,
Probability of the bad potatoes in the 2 of the bags are=0.9
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PLEASE HELP I AM ABOUT TO FAILL
Suppose that a plano cost 5,000 and loses 20% of its value oach year. table shows the value, of a piano after years.
1. 5000
2. 4000
3. 3200
write an equation that can be used to find the value of the piano, v, after t years.
Answer:
Step-by-step explanation:
90
Based on the information, the value of the piano after 16 years is $140.74.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Using this formula to find the value of the piano, v, after t years.
CP = Principal(1-rate)\(^t\)
Where:
Principal=$5,000
Rate=20%
Number of year = 16 years
Let plug in the formula;
=5,000(1-0.20)^16
=5,000(.80)^16
=$140.737
= $140.74 (Approximately)
Hence, the value of the piano after 16 years is; $140.74.
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Which point could be on the line that is perpendicular to Line M N and passes through point K?
A) (0, −12)
B) (2, 2)
C) (4, 8)
D) (5, 13)
Answer:
B. (2,2)
Step-by-step explanation:
correct on edge 2020