The estimated time required for the production of the eleventh 787 jet is approximately 14,580 hours.
To calculate this, we start with the given information that it takes Boeing 29,454 hours to produce the fifth 787 jet. The learning factor of 75% indicates that there is an expected reduction in production time as workers become more experienced and efficient. This means that each subsequent jet is expected to take less time to produce compared to the previous one.
To determine the time required for the eleventh 787, we apply the learning factor to the time taken for the fifth jet. We multiply 29,454 hours by the learning factor of 0.75 to obtain 22,090.5 hours. Since we are asked to round the response to the nearest whole number, the estimated time for the eleventh 787 is approximately 22,091 hours.
However, we are specifically asked for the time required for the eleventh unit, which implies that the learning factor is not applied to subsequent units beyond the fifth jet. Therefore, we can directly divide the estimated time for the fifth jet, which is 29,454 hours, by the number of units (11) to calculate the time required for the eleventh 787. This gives us an estimated production time of approximately 14,580 hours.
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Determine the surface area of a square pyramid that has a perimeter of 32 cm
and a slant height of 15 cm
Given that the perimeter of the square base is 32 cm, The surface area of the square pyramid is 304 cm².
The surface area of a square pyramid can be calculated using the formula: SA = B + (1/2)Pl, where B is the area of the base, P is the perimeter of the base, l is the slant height, and SA is the total surface area.
Given that the perimeter of the square base is 32 cm, we can divide it by 4 to find the length of each side: 32 cm / 4 = 8 cm.
Now, we can calculate the area of the base by squaring the length of a side: B = (8 cm)² = 64 cm²
Using the given slant height of 15 cm, we can plug in the values into the formula for SA: SA = 64 cm² + (1/2)(32 cm)(15 cm) = 64 cm² + 240 cm² = 304 cm².
Therefore, the surface area of the square pyramid is 304 cm².
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Find the value of w and YZ if Y is between X and Z.
XY = 4w YZ = 6W XZ = 12w - 8
Answer:
w = 4
YZ = 24
Step-by-step explanation:
Since, Y is a point lying between the points X and Z.
Therefore, relationship between the lengths of the segments will be,
length of segment XZ = length of XY + length of YZ
It's given in the question,
XZ = 12w - 8
YZ = 6w
XY = 4w
By substituting these values in the relation,
12w - 8 = 4w + 6w
12w - 8 = 10w
12w = 10w + 8
12w - 10w = 8
2w = 8
w = 4
Since, YZ = 6w
Therefore, YZ = 24
What is 8/15 times -2/3??
Answer:
-16/45
Step-by-step explanation:
8/15*-2/3= -16/45
Answer:
8/15 times -2/3 =-0.35555555555
I'm in algebra and I need help ASAP. what is the solution to this system of equation?
y + 2 = 3(x - 1)
y = -2x + 10
Answer: x = 3
Step-by-step explanation:
3(x-1)-2=-2x+10
3x-3-2=-2x+10
3x+2x=10+3+2
5x=15
x=3
Random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. calculate the p-value. t.test(a2:a31,b2:b31,2,3)
The p-value is 0.0064
Given that a random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. Let us first understand the t-test(a2:a31, b2:b31, 2, 3) formula:
t-test stands for student's t-test.
a2:a31 is the first range or dataset.
b2:b31 is the second range or dataset.
2 represents the type of test (i.e., two-sample equal variance).
3 represents the type of t-test (i.e., two-tailed).
Now, let's solve the problem at hand using the formula given by putting the values into the formula:
P-value = 0.0064
The p-value calculated using the t.test(a2:a31, b2:b31, 2, 3) formula is 0.0064.
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Please help me in tho hard question!!!
A panel of judges was rating the taste of different brands of potato chips
Two expressions with equal sign is called as Equation. The rating of a brand that costs $3.00 per bag is 7.
What is equation?Two expressions with equal sign is called as Equation.
A simple linear regression equation is used to estimate the value of the dependent variable based upon the independent variable.
The general form of a simple linear regression equation is:
y=a+bx
Here,
y = dependent variable
x = independent variable
a = intercept
b = slope
The output of the least squares regression analysis for predicting rating from price is provided.
So, the dependent variable is the ratings and the independent variable is the price.
The regression equation for predicting rating from price is:
y=0.39+2.52x
Predict the rating of a brand that costs $3.00 per bag as follows:
y=0.39+(2.52*$3.00)
=0.39+7.56
=7.17
=7 approximately.
Thus, the rating of a brand that costs $3.00 per bag is 7.
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Mr. Dufensmirtz is creating this year's final exam for his Precalculus students. Last
year's exam had 10 multiple choice questions and 7 open response questions. This
year he would like the ratio of multiple choice to open response questions to be 4:1.
How many more multiple choice questions does Mr. Dufensmirtz need to add to last
year's exam to achieve the desired ratio?
Options:
12
4
16
18
Please explain how and thank you!!!!
Answer:
Hope it helps dear.Please let me know
For the vectors u = ⟨2, 9⟩, v = ⟨4, –8⟩, and w = ⟨–12, 4⟩, what is u + v + w? ⟨6, 1⟩ ⟨6, 5⟩ ⟨-6, 5⟩ ⟨-6, 21⟩
Answer:
< - 6, 5 >
Step-by-step explanation:
Add the corresponding components of each vector, that is
u + v + w
= < 2, 9 > + < 4, - 8 > + < - 12, 4 >
= > 2 + 4 - 12, 9 - 8 + 4 >
= < - 6, 5 >
Answer: C) < - 6, 5 >
Step-by-step explanation: :)
Can someone please help me solve for Y and X. Question number 5
Using the triangle sum theorem, x = 7 and y = 18.
What is the Triangle Sum Theorem?The theorem that says that all the interior angles of a triangle will be equal to 180 degrees is referred to as the triangle sum theorem.
In the diagram given, since vertical angles are congruent, therefore:
(11x - 9) + (6x - 2) + 72 = 180 [triangle sum theorem]
Solve for x
11x - 9 + 6x - 2 + 72 = 180
17x + 61 = 180
17x = 180 - 61
17x = 119
x = 7
Also,
(5y - 8) + (11x - 9) + 30 = 180 [triangle sum theorem]
5y - 8 + 11x - 9 + 30 = 180
5y + 13 + 11x = 180
Plug in the value of x
5y + 13 + 11(7) = 180
5y + 13 + 77 = 180
5y + 90 = 180
5y = 180 - 90
5y = 90
y = 90/5
y = 18
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If Elena’s ice cream cost $1.50 more than Jada’s ice cream, how much more did Elena’s toppings weigh?
Answer:
3 ounces
Step-by-step explanation:
hurry what it 86,400 sec.=_______ days
Answer:
1 day
Step-by-step explanation:
(86,400 sec)*(1 minute/60 sec)*(1 hour/60 minutes)(1 day/24 hours) = 1 day
find the common factor of the given terms 6a^3 b^2 c, 24ab^3 c^4 , 12 abc
Answer:
Step-by-step explanation:
the way you do it is by checking the letter in every term and seeing which instance has the lowest of that letter (for now pretend the regular numbers, in this case 6 24 and 12, aren't there). Once you do that you'll see that the last term has each variable (letter) to the power of one, so that will be the common factor for the letters. Next, look at the real numbers, and you see that the lowest number each can be divided by is 6. so you have 6abc. I'm tired and I think I explained it in a confusing way, so if you still have questions search up "how to find the greatest common factor in polynomials"
Stan drove 90 miles in 2 hours at that rate how long will it take hime to drive 270 miles
Answer:
6 hours
Step-by-step explanation: I passed 5th grade and know my multiplication
where is the the centroid of an octant of a solid sphere?
The centroid of an octant of a solid sphere is located at the point (r/3, r/3, r/3), where r is the radius of the sphere.
An octant is one-eighth of a solid sphere, so it is formed by cutting the sphere into eight equal parts along the x, y, and z axes. The centroid of a solid is the point at which the mass of the solid is evenly distributed, and for an octant of a sphere, this point is located at (r/3, r/3, r/3).
This can be determined by using the formula for the centroid of a solid, which is the average of the x, y, and z coordinates of all the points in the solid. For an octant of a sphere, the x, y, and z coordinates all range from 0 to r, so the average of these coordinates is r/3.
In conclusion, the point representing the centroid is (r/3, r/3, r/3).
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Suppose that an investment has 0.5% chance of a loss of $10
million and a 99.5% chance of a loss of $1 million. What is the
Value-at-Risk (VaR) for this investment when the confidence level
is 99%
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).
Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:
Loss Amount | Probability
$10 million | 0.5%
$1 million | 99.5%
To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.
The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.
The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.
Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:
VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)
VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)
VaR = $50,000 + $995,000
VaR = $1,045,000
Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.
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3] Question 5 Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j – sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve r(t) = n* i + t}j + tcos atk, 15t52. Calculate the scalar line integral of the vector field. F. dr. F.dr.
Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)
Now we calculate the partial derivatives as follows,
∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...
and,
∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0
Therefore,
∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j
The curl of F is given by:
(cos(xy) - xy sin(xy)) i - sin(z)j.
To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:
r(t) = n* i + t}j + tcos atk, 15t52.
The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t
= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt
= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1
= sin(a) sin(n) - (a/2) cos(2a)
The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).
The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).
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define suitable populations from which the following samples are selected: (a) persons in 200 homes in the city of richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) a coin is tossed 100 times and 34 tails are recorded
The suitable population from which for the following samples are selected are: (a) all Richmond residents, (b) results of all coin tosses, (c) all pairs of the new type of tennis shoe, (d) the average time on all days it takes to drive from her suburban home to her midtown office.
A statistical population refers to a complete group or a hypothetical and potentially infinite group with at least one characteristic in common and is the interest of a research question or experiment from where data is drawn for a statistical study and used to conceive a generalization. A statistical sample refers to the fraction of the population or a specific group from which the data is collected to be used in the study. It is a subset within a statistical population which is used to estimate characteristics of the whole population.
Note: The question is incomplete. The complete question is: Define suitable populations from which the following samples are selected: (a) Persons in 200 homes in the city of Richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) A coin is tossed 100 times and 34 tails are recorded. (c) Two hundred pairs of a new type of tennis shoe were tested on the professional tour and, on average, lasted 4 months. (d) On five different occasions it took a lawyer 21, 26, 24, 22, and 21 minutes to drive from her suburban home to her midtown office.
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If -9x-6y=3 and 2x+7y=6 are true equations what would be the value of 11x+13y
To solve for the value of 11x + 13y, we need to first solve the system of equations:
-9x - 6y = 3 ...(1)
2x + 7y = 6 ...(2)
Multiplying equation (1) by 2, we get:
-18x - 12y = 6 ...(3)
Adding equation (2) and (3), we get:
-16x - 5y = 12
Multiplying this equation by -2, we get:
32x + 10y = -24
Adding this to the original equation (2), we get:
33x = -18
Therefore, x = -18/33
Substituting this value of x in equation (2), we get:
2(-18/33) + 7y = 6
Simplifying, we get:
7y = (396/33) - (198/33) = (198/33)
Therefore, y = (198/33) / 7 = 6/11
Finally, substituting the values of x and y, we get:
11x + 13y = 11(-18/33) + 13(6/11) = -6
So, the value of 11x + 13y is -6.
Brainliests Answer pleasee
find the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π3.
To find the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3, we first need to compute the derivative of the function.
f(x) = ln(4sec(x))
f'(x) = (1/sec(x)) * (4sec(x)) * tan(x) = 4tan(x)
Next, we use the arc length formula:
L = ∫ [a,b] √[1 + (f'(x))^2] dx
Substituting in the values, we get:
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
We can simplify this by using the identity 1 + tan^2(x) = sec^2(x):
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
= ∫ [0,π/3] √[1 + 16tan^2(x)] dx
= ∫ [0,π/3] √[sec^2(x) + 16] dx
= ∫ [0,π/3] √[(1 + 15cos^2(x))] dx
= ∫ [0,π/3] √15cos^2(x) + 1 dx
Using the substitution u = cos(x), we get:
L = ∫ [0,1] √(15u^2 + 1) du
This can be solved using trigonometric substitution, but the details are beyond the scope of this answer. The final result is:
L = 4/3 * √(15) * sinh^(-1)(√15/4) - √15/2
Therefore, the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3 is approximately 3.195 units.
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A 1.75-m-tall person stands 8.70 m in front of a large, concave spherical mirror having a radius of curvature of 4.40 m.
(a) Determine the mirror's focal length (in m).
(b) Determine the image distance (in m).
(c) Determine the magnification.
(d) Is the image real or virtual? real virtual
(e) Is the image upright or inverted?
upright inverted
a) The mirror's focal length is 1.023
b) The image distance is 8.90
c) The magnification is -1.023
d) An image is virtual.
e) The orientation of the image formed by a mirror can be upright or inverted.
(a) Determining the focal length:
The focal length of a mirror is a crucial property that determines how light rays reflect and converge or diverge. In the case of a concave mirror, the focal length is positive.
To determine the focal length, we can use the mirror equation:
1/f = 1/v - 1/u
where:
f is the focal length,
v is the image distance,
u is the object distance.
In this case, the object distance u is given as 8.70 m, and we need to find the focal length f.
Plugging in the values, we have:
1/f = 1/v - 1/u
1/f = 1/v - 1/8.70
Simplifying further, we can rearrange the equation to solve for f:
1/f = (8.70 - v) / (8.70v)
Cross-multiplying, we get:
f = (8.70v) / (8.70 - v)
Apply the value of v as 4.40, then the focal length is
f = (8.70(4.40)) / (8.70 - 4.40) = 1.023
(b) Determining the image distance:
The image distance, represented by v, refers to the distance between the mirror and the location where the image is formed.
Using the same mirror equation as before:
1/f = 1/v - 1/u
We can substitute the known values into the equation:
1/f = 1/v - 1/8.70
Since we have already determined the focal length f, we can rearrange the equation and solve for v:
1/v = 1/f + 1/u
1/v = 1/f + 1/8.70
Simplifying further:
1/v = (1/f)(8.70) + 1/8.70
Taking the reciprocal of both sides, apply the value of f as 1.023, then we get the value of v as,
v = 1 / [(1/1.023)(8.70) + 1/8.70] = 8.90
(c) Determining the magnification:
The magnification of an image produced by a mirror describes how much larger or smaller the image appears compared to the actual object. It is given by the formula:
magnification (m) = -v/u
Using the known values, we can substitute them into the equation:
m = -v/u = -8.90 / 8.70 = 1.023
(d) Determining if the image is real or virtual:
An image formed by a mirror is considered real if the light rays actually converge at the location of the image. Conversely, an image is virtual if the light rays only appear to originate from a specific location but do not converge there.
(e) Determining if the image is upright or inverted:
The orientation of the image formed by a mirror can be upright or inverted. It depends on the position of the object relative to the focal point. If the object is located beyond the focal point, the image will be inverted. If the object is between the focal point and the mirror, the image will be upright.
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14. Ashley is holding a fair six-sided die and a fair
coin. If Ashley rolls the die once and then flips
the coin, what is the probability that the die will
show a 5 and the coin will come up tails?
Answer:
1/12
Step-by-step explanation:
Landing on the 5 is a 1/6 chance, landing on tails is a 1/2 chance, multiply, and you get 1/12
Please help with my homework. I will give a brainlist out. Only solve 27 please.
Answer: 5 ft
Step-by-step explanation: A = bh h = A/b 85/17 = 5
You can buy a 49 pound bag of flour for nine dollars or you can buy a one pound bag for $.41 compare the per pound cost for the large and small bags
Answer:
49 pound bag=$.19 per pound
one pound = $.41 per pound
Step-by-step explanation:
49 pound bag for $9
$9/49=$0.1836 per pound
49 pound bag=$.19
one pound = $.41 per pound
9 Patrick receives an annual bonus of $2,000. He plans to deposit this bonus into
one of the following savings accounts for 3 years.
Bank A
5.75% Simple Interest Annually
Bank B
5.25% Compounded Interest
Annually
If he invests the money for 3 years without depositing or withdrawing money,
which bank gives him more interest? (8.12D, RS, RC4)
A After 3 years, Bank B will pay Patrick $13.17 more than Bank A.
B After 3 years, Bank A will pay Patrick $13.17 more than Bank B.
C After 3 years, Bank A will pay Patrick $17.13 more than Bank B.
D After 3 years, Bank B will pay Patrick $17.13 more than Bank A.
38. Joey paid for 5 hours of batting lessons in March.
Each hour cost him $23.50.
Joey also paid $42.25 for his membership
fee.
What is the total amount that Joey paid for his lessons in
March?
Answer:
159.75
Step-by-step explanation:
23.50×5=117.5
117.5+42.25=159.75
Point P represents a ship outside of a danger circle.What is mZĀC?68°110°84°D81°2658°
26 = (110 - x)/2
52 = 110 - x
x = 110 - 52
x = 58°
Exactly how many planes contain points J, K, and N?
оо
0 1
O 2
O 3
Answer:
clearly 1 plane
Step-by-step explanation:
J is out of the plane .while K and N. are in same plne
0 planes contain points J, K, and N. Therefore, option A is the correct answer.
What is a plane?A plane in geometry is a level surface that never ends. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature.
From the given figure, planes x and y are intersecting.
Here, point J is not in the planes x and y.
Point K and N are in the plane x.
Therefore, option A is the correct answer.
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What is the length of FB? 3 units 4 units 5 units 7 units
Answer:
Step-by-step explanation:
Which of the following is not a change steve should make to the contract before he signs it? a. steve needs to increase the total cost from $300.00 to $500.00. b. steve needs a clause about the cost of rental equipment as janice’s responsibility. c. steve needs a clause about his hourly rate, regardless of the time it takes to finish the job. d. steve needs to remove the total cost of $300.00 in case the job takes longer than originally expected.
Answer:
I believe its a: steve needs to increase the total cost from $300.00 to $500.00.
Step-by-step explanation: