The probability of having at least 1 rotten strawberry Kyle has among the 5 strawberries is equal to 0.4096 or 40.96%.
Number of strawberries in a box = 36
Number of rotten strawberries = 2
Number of randomly picked strawberries = 5
To calculate the probability of having at least 1 rotten strawberry among the 5 strawberries Kyle picked,
Use the concept of complementary probability.
The probability of having at least 1 rotten strawberry is equal to 1 minus the probability of having no rotten strawberries.
The probability of not picking a rotten strawberry on each individual pick is given by (34/36),
as there are 34 good strawberries out of a total of 36.
Since Kyle is picking 5 strawberries,
Calculate the probability of not picking a rotten strawberry on any of the 5 picks,
By multiplying the probabilities of not picking a rotten strawberry on each individual pick,
Probability of not picking a rotten strawberry on any of the 5 picks
= (34/36) × (34/36) × (34/36) × (34/36) × (34/36)
To find the probability of having at least 1 rotten strawberry,
subtract the probability of not picking a rotten strawberry from 1,
Probability of having at least 1 rotten strawberry
= 1 - Probability of not picking a rotten strawberry on any of the 5 picks
Calculating the probability,
Probability of having at least 1 rotten strawberry
= 1 - [(34/36) × (34/36) × (34/36) × (34/36) × (34/36)]
Simplifying the calculation,
Probability of having at least 1 rotten strawberry
≈ 1 - 0.5904
≈ 0.4096
Therefore, the probability of Kyle having at least 1 rotten strawberry among the 5 strawberries he picked is approximately 0.4096 or 40.96%.
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What is the meaning of profit
Answer:
A profit is money you make, as opposed to money you lose.
Step-by-step explanation:
Step-by-step explanation:
Profit is the amount of money made minus the expenses. It's the amount pocketed.
It's like if you sell something for $100 and it cost $90 to make, you made a $10 profit.
A maintenance crew consists of the following information (3 mechanicals with 10 hours workover and 15 hour leaves - 1 welder – 5 electricals with 20 hours leaves and 15 hours workover- 4 helpers). The crew works 10 hours daily and 6 days / week - A Faulted ball bearing (Kso150 )in hydraulic pump(Tag number 120WDG005) need to change in PM routine, It needs to 2 Mechanical and one helper where the estimated planned hour is 10 hours. The maintenance labors finished the work in 12 Hours due to some problems in bearing dis-assembling - The average labor cost rates is 50 LE /hours and the bearing cost 5000 LE It is required to: a) Construct a table for weekly crew working hours availability for this crew. b) Calculate the craft performance c) Determine the working hours and Job duration d) Calculate the repair and fault costs if the production loses 1s 2000 LE/hour e) Construct the required complete work order
a). Total weekly working hours is 1680 hours.
b). The estimated planned hours are 10 hours per the work order is 83%.
c). Rounded to the nearest whole number, the working hours are 12 hours is.
d). Repair and fault cost is 35,600 LE
e). Total: 1680 hours weekly.
a) Weekly crew working hours availability:
Calculation for the work schedule, based on the given information in the question:
There are 3 mechanics with 10 hours of workover and 15 hours of leave.
There is 1 welder with no workover and 0 hours of leave.
There are 5 electricians with 20 hours of leave and 15 hours of workover.
There are 4 helpers with no workover and no leave, based on the given information.
The maintenance crew works for 10 hours per day and 6 days per week. Thus, the weekly working hours for the maintenance crew are:
Weekly working hours of mechanic = 3 × 10 × 6 = 180 hours
Weekly working hours of welder = 1 × 10 × 6 = 60 hours
Weekly working hours of electricians = 5 × (10 + 15) × 6 = 1200 hours
Weekly working hours of helpers = 4 × 10 × 6 = 240 hours
Total weekly working hours = 180 + 60 + 1200 + 240 = 1680 hours
b) Craft Performance Calculation:
Craft Performance can be calculated by using the below formula:
CP = Earned hours / Actual hours
Work order for faulted ball bearing (Kso150 ) in hydraulic pump
(Tag number 120WDG005) needs to change in PM routine, it needs 2 Mechanics and one helper where the estimated planned hour is 10 hours.
From the given information, it took the crew 12 hours to complete the task due to some problems in bearing disassembling.
Thus, Actual hours = 12 hours.
The estimated planned hours are 10 hours per the work order.
So, Earned hours = 10 hours.
CP = Earned hours / Actual hours
= 10 / 12
= 0.83 or 83%
c) Working hours and Job duration Calculation:
Working hours = (Total estimated planned hour / Craft Performance) + (10% contingency)
= (10 / 0.83) + 1
= 12.04 hours
Rounded to the nearest whole number, the working hours are 12 hours.
Job duration = Working hours / (Number of craft workers)
= 12 / 3
= 4 hours
d) Calculation of Repair and Fault Costs:
It is given that production loses 1s 2000 LE/hour.
The Fault cost for the hydraulic pump will be 2000 LE/hour.
The cost of bearing replacement is 5000 LE.
Additionally, the labour cost rate is 50 LE/hour.
The total cost for repair and fault will be;
Repair cost = (Labour Cost Rate × Total Working Hours) + Bearing Cost
= (50 × 12) + 5000
= 1160 LE
Fault cost = Production Loss (2000 LE/hour) × Working Hours (12 hours)
= 24,000 LE
Repair and fault cost = Repair cost + Fault cost
= 24,000 + 11,600
= 35,600 LE
E) Complete Work Order:
To: Maintenance crew
From: Maintenance Manager
Subject: Repair of Kso150 ball bearing in hydraulic pump
(Tag number 120WDG005)
Issue: Faulted ball bearing in hydraulic pump
Repair Cost = 1160 LE
Earned hours = 10 hours
Actual hours = 12 hours
Craft Performance = 83%
Working hours = 12 hours
Job duration = 4 hours
Fault Cost = 24,000 LE
Bearing Cost = 5000 LE
Repair and Fault Cost = 35,600 LE
Tasks: Replace Kso150 ball bearing in hydraulic pump.
Performing of daily maintenance checks.
Update the maintenance log book.
Operation of the hydraulic pump and testing for faults.
Work Schedule for the Maintenance Crew:
Mechanics: 3 × 10 × 6 = 180 hours weekly.
Welder: 1 × 10 × 6 = 60 hours weekly.
Electricians: 5 × (10 + 15) × 6 = 1200 hours weekly.
Helpers: 4 × 10 × 6 = 240 hours weekly.
Total: 1680 hours weekly.
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PLEASE HELP WILL MARK BRAINLIEST!!!
Select all that are equivalent to sin∠GFH
Answer:
I think sin<GEJ IS equivalent to sin∠GFH
All that are equivalent to sin∠GFH is
D) cos(<EGJ)
"Corresponding angles"sin(<GEJ)cos(<FGH)cos(<EGJ)
From the image JE and HF are parallel.
So angle GFH and angle GEJ are corresponding angles.
So they are equal.
so, sin(<GFH) = sin(<GEJ).
From triangle GFH, <GFH+<FGH = 90.
So, sin(<GFH) =cos(<FGH).
Again <FGH = <EGJ.
So, sin(<GFH) =cos(<EGJ)
All that are equivalent to sin∠GFH is cos(<EGJ).
Thus, the correct answer is D.
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State if the given binomial is a factor of the given polynomial
Answer:
B - yes
Step-by-step explanation:
If (n - 9) is a factor then when evaluated at n = 9, if the result is zero then it is a factor of the polynomial, that is
9³ + 9² - 84(9) - 54
= 729 + 81 - 756 - 54
= 0
Since the result is zero then (n - 9) is a factor of the polynomial
The function below represents the annual interest Charlotte earns on a savings account. Identify the term that represents the interest rate.
f(x) = 1,000(1 + 0.04)x
a:1000
b:1
c:0.04
d:x
Answer: C.
Step-by-step explanation:
0.04 is the interest rate because it is equivalent of 4%.
Answer: 0.04
Step-by-step explanation:
Ecological correlation is correlations based on rates or averages, often used in political science or sociology, that tend to over-state the strength of an association. True/False?
It is true, as The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
what is correlation?Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. 1 = Causation need not always follow from correlation. A statistical measure of the linear relationship between two variables is called correlation (that is, do they change at a constant rate). Without defining cause and effect, this is a common method for illustrating straightforward connections. To illustrate the connection between two quantitative variables, statistical language employs correlation. Additionally, we consider that this connection is linear. In other words, when one variable changes by a given amount, the other variable also changes by a fixed amount, but only by one unit.
The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
So, it is true.
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Please solve the answer
Decimal multiplier by 1.7%
Answer:
times by 1.17
Step-by-step explanation:
hope this helps!
please give me a brainliest!!<3
Answer: 0.017
Step-by-step explanation:
1.7% = 0.017
I need help I will give brainliest I promise
Answer:
1/4 is the answer
Step-by-step explanation:
First, we see that the total students is 20 & the students who got 6 or 7 is 5.
5/20 = 1/4
1/4 = 25%
Find the measure of each angle in Triangle TUV when angle T measures (7x + 4) degrees, angle U measures (2x + 5) degrees and angle V measures (5x + 3) degrees.
Im very stuck lol...
Answer:
Model the expression as 3 groups of x+2.
There are 3 x-tiles.
There are 6 +1 tiles.
The equivalent expression is 3x+6
Step-by-step explanation:
see image. This program is trying to help you learn algebra (here it looks like distributive property) by using a physical model. The bars are x's and the +1's are numbers. The little squares are 1 each (positive or negative, but you only need the positives for this question)
see image.
The lesson is:
3(x+2) = 3x + 6
If they have 20 pounds of strawberries to freeze.If they put 1.25 pounds of strawberry would in to each freezing container how many containers will they fill
Answer:
They will fill 16 containers
Step-by-step explanation:
From the question,
They have 20 pounds of strawberries to freeze and they put 1.25 pounds of the strawberry into each freezing containers.
To determine how many freezing containers they will fill, we will divide the total mass of strawberries they have by the mass of strawberry they put into each freezing containers.
Hence,
Number of containers they will fill = Total mass of strawberries that have / Mass of strawberry they put into each container
Total mass of strawberries that have = 20 pounds
Mass of strawberry they put into each container = 1.25 pounds
∴ Number of containers they will fill = 20 pounds / 1.25 pounds
Number of containers they will fill = 16
Hence, they will fill 16 containers.
PLEASE HELP!! WILL MARK BRAINLIEST IF CORRECT! Given the point (5, 12), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x + 2, y - 7)
Answer:
(7, 5)
Step-by-step explanation:
(5,12)
x : 5 + 2 = 7
y : 12 - 7 = 5
(7,5)
The value of (x, y) --> (7, 5).
What is an ordered pair?
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Given point is (5,12)
We have to solve for
(x,y) --> (x + 2, y - 7)
Now put x=5 in x+2
x = 5 + 2
= 7
and, y= 12 in y-7
y = 12 - 7
= 5
Hence, (x, y) --> (7, 5).
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c(n)=-6+5(n-1) Find the 8th term in the sequence
Answer:
-7
Step-by-step explanation:
c(8)=-6+5x7
c(8)=-1x7
c(8)=-7
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.5?
a. 0.1915
b. 0.0000
c. 1.0000
d. 0.3413
Answer:
B
Step-by-step explanation:
To find the value of z such that the area to the right of z is 0.5, we can use the standard normal distribution table (also known as the z-table). The z-table provides the cumulative probability to the left of a given z-value.
Since the area to the right of z is 0.5, the area to the left of z is also 0.5. We need to find the z-value that corresponds to a cumulative probability of 0.5 (or 50%).
Referring to the z-table, we find that a cumulative probability of 0.5 corresponds to a z-value of 0. This means that the area to the left of 0 is 0.5, and therefore, the area to the right of 0 is also 0.5.
Thus, the value of z when the area to the right of z is 0.5 is 0.
Therefore, the correct option is b. 0.0000.
what is 3x + 4 = 12
Answer:
3x - 4 = 12
3x = 12 + 4
3x = 16 (divide both sides by 3 to get x)
3x/3 = 16/3
x = 5.333.......
If the half-life of that substance is 22 days, and only 1/4 of it remains, how many days have elapsed?
A- 11 days
B-22 days
C-44 days
D-88 days
Answer:
11
Step-by-step explanation:
if half of it is 22, then a whole life is 44 days. 1/4 of 44 days is 11 days so its A
Answer:
the answer is A (11 days)
Step-by-step explanation:
Hope this helps you!
What is the purpose of the ninth?
The purpose of the ninth was to assert the principle that the enumerated rights are not exhaustive and final and that the listing of certain rights does not deny the existence of other rights.
Ninth Amendment:The Ninth Amendment was part of the Bill of Rights added to the Constitution on December 15, 1791. It states that all rights not enshrined in the Constitution belong to the people, not to the US government. In other words, the rights of citizens are not limited to those stipulated in the Constitution. Simply put, the Ninth Amendment declares that the enumeration of certain rights in the Constitution should not be construed as withholding or disrespecting others from people. According to Judge Harry A. Blackman, Roe v. Wade (1973),
, "As we believe, this right to privacy is limited by the Fourteenth Amendment concept of restrictions on individual liberty and government action. The Ninth Amendment to the Constitution contains ample scope, including determining whether a woman should terminate a pregnancy."
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Find the Maclaurin series for tan x and using that series, derive the Maclaurin series for sec2 x
The Maclaurin series for sec^2 x is:
sec^2 x = 1 + x^2 + (5x^4/3) + (31x^6/45) + ...
To find the Maclaurin series for tan x, we can use the fact that tan x = sin x / cos x and substitute the Maclaurin series for sin x and cos x:
sin x = x - x^3/3! + x^5/5! - x^7/7! + ...
cos x = 1 - x^2/2! + x^4/4! - x^6/6! + ...
Then, we have:
tan x = sin x / cos x
= (x - x^3/3! + x^5/5! - x^7/7! + ...) / (1 - x^2/2! + x^4/4! - x^6/6! + ...)
= x + (x^3/3) + (2x^5/15) + (17x^7/315) + ...
Therefore, the Maclaurin series for tan x is:
tan x = x + (x^3/3) + (2x^5/15) + (17x^7/315) + ...
Now, to derive the Maclaurin series for sec^2 x, we can use the identity:
sec^2 x = 1 / cos^2 x
We can square the Maclaurin series for cos x to get:
cos^2 x = (1 - x^2/2! + x^4/4! - x^6/6! + ...) * (1 - x^2/2! + x^4/4! - x^6/6! + ...)
= 1 - x^2 + (5x^4/24) - (61x^6/720) + ...
Taking the reciprocal of this expression and simplifying, we get:
sec^2 x = 1 / cos^2 x
= 1 / (1 - x^2 + (5x^4/24) - (61x^6/720) + ...)
= 1 + x^2 + (5x^4/3) + (31x^6/45) + ...
Therefore, the Maclaurin series for sec^2 x is:
sec^2 x = 1 + x^2 + (5x^4/3) + (31x^6/45) + ...
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-23 = x - 23
A. Infinite number of solutions
B. No solution
C. 0
D. 5
Answer:
x=0
Step-by-step explanation:
have a nice day or evening
decide whether the statement is true or false. 5 is in {1, 2, 3, 4, 5}
The statement given "5 is in {1, 2, 3, 4, 5}" is true because 5 is included in the set given {1, 2, 3, 4, 5}.
In set notation, the curly brackets {} represent a set. The set {1, 2, 3, 4, 5} contains the elements 1, 2, 3, 4, and 5. So, when we check if 5 is in this set, we find that it is indeed present. Therefore, the statement is true. Option A is the correct answer.
A set is an unordered collection of unique elements. In this case, the set {1, 2, 3, 4, 5} includes the numbers 1, 2, 3, 4, and 5. When we check if the number 5 is in this set, we find that it is one of the elements in the set. Thus, the statement "5 is in {1, 2, 3, 4, 5}" is true.
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Use Euler's Method with a step size of h = 0.1 to find approximate values of the solution at t = 0.1,0.2, 0.3, 0.4, and 0.5. +2y=2-ey (0) = 1 Euler method for formula Yn=Yn-1+ hF (Xn-1-Yn-1)
Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:
t = 0.1: y ≈ 1.1
t = 0.2: y ≈ 1.22
t = 0.3: y ≈ 1.34
t = 0.4: y ≈ 1.47
t = 0.5: y ≈ 1.61
To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:
Yn = Yn-1 + h * F(Xn-1, Yn-1)
Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.
For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.
Using the initial condition y(0) = 1, we can proceed with the calculations:
t = 0.1:
Y1 = Y0 + h * F(X0, Y0)
= 1 + 0.1 * [(2 - e^1) / 2]
≈ 1 + 0.1 * (2 - 0.368) / 2
≈ 1 + 0.1 * 1.316 / 2
≈ 1 + 0.1316
≈ 1.1
Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.
Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.
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An artist is building a pedestal out of wood that will be used to display a piece of sculpture. she plans to cover the pedestal with tile. how much tile will it take to cover the pedestal? cm2
The amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal. In order to determine how much tile is needed, you will need to measure the surface area of the pedestal.
The pedestal's dimensions are height, breadth, and length.
Multiply the height, width, and length of the pedestal to calculate the surface area.
Multiply the surface area by the number of tiles needed to cover the pedestal. To determine the number of tiles needed, divide the surface area by the area of each tile.
For example, if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long, the surface area is 16 square feet. If each tile has an area of 1 square foot, then it will take 16 tiles to cover the pedestal.
In conclusion, the amount of tile needed to cover the pedestal will depend on the size and shape of the pedestal and the size of the tiles. To determine the amount of tile needed, measure the surface area of the pedestal and then multiply it by the number of tiles needed to cover the pedestal.
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The pedestal's size and shape will determine how much tile is required to cover it. It will take 1176cm² of tiles to cover the pedestal.
You will need to measure the pedestal's surface area in order to figure out how many tiles you need. The height, width, and length of the pedestal are the same. To determine the surface area, multiply the pedestal's height, width, and length.
S = 2*s1 + s2 + 2*s3
= 96 + 480 + 600
= 1176
Divide the total number of tiles required to cover the pedestal by the surface area. Divide the surface area by the area of each tile to determine the required number of tiles.
The surface area, for instance, is 16 square feet if the pedestal is 2 feet tall, 2 feet wide, and 4 feet long. 16 tiles will be required to cover the pedestal if each tile has a surface area of one square foot.
In conclusion, the dimensions of the tiles and the pedestal's size will determine how much tile is required to cover the pedestal. Multiply the surface area of the pedestal by the number of tiles required to cover it to find the required quantity of tiles.
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Help me with this please!!!
Answer: y = 80*
all circles have 360* so we can subtract what we have to get what we want
360 - 110 - 90 - 80 = 80*
(06) A paper is in the form of a
square of side 20m. Semicircles are
drawn inside the square paper
on two sides as diameter. The
semicircle portions are cut off.
Find the area of remaining
paper. (use π = 3.14).
Answer:
86 sq.m
Step-by-step explanation:
Help Pleaseeeeeeeeeeeeeee!
Answer:
12x+5=162
Step-by-step explanation:
Which number is an integer?
Answer: 2
Step-by-step explanation: hope it helps
In ΔCDE, the measure of ∠E=90°, the measure of ∠C=83°, and DE = 8. 6 feet. Find the length of EC to the nearest tenth of a foot
The length of EC is given as follows:
EC = 70 feet.
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For the angle of 83º, we have that:
The opposite side is of EC.The adjacent side is of 8.6 feet.Hence we apply the tangent ratio to obtain the length of EC as follows:
tan(83º) = EC/8.6
EC = 8.6 x tangent of 83 degrees
EC = 70 feet.
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Please help!!! I need to hurry and turn this in !!
Answer:
2 is true
Step-by-step explanation:
The second one is true
How many rational numbers lie between any two fractions?
Answer:
Infinite number of rational numbers exist between any two distinct rational numbers. We know that a rational number is a number which can be written in the form of qp where p and q are integers and q =0.