Answer:
For angle CFD, arc is π/2
For angle AFE, arc is π
For angle BFC, arc is 3π/4
For angle AFB, arc is 2π
the weight of written reports produced in a certain department has a normal distribution with mean 60 grams and standard deviation 12 grams. what is the probability that the next report will weigh less than 45 grams?
The probability that the next report will weigh less than 45 grams = 0.106
In this question, we have been given the weight of written reports produced in a certain department has a normal distribution with mean 60 grams and standard deviation 12 grams.
We need to find the probability that the next report will weigh less than 45 grams.
We have mean= 60 grams
Standard Deviation = 12 grams
First we convert 45 to z score.
45 converted to z score for given mean and standard deviation will be:
z = (45 - 60)/12
z = -1.25
So, from standard normal table a P-value:
P(x<45) = 0.10565
Therefore, the probability would be 0.10565
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At cheng’s bike rental cost $40 to rent a bike for seven hours how many dollars does it cost per hour of bike use
What is the distance between 1/3 to 1 for fractions on number line
Answer:
2/3
1/3-2/3-3/3......
when 3+3x-5-8x is simplified, the result is?
Answer:
−5x−2
Step-by-step explanation:
A principal of $3000 is invested at 7.25% interest, compounded annually. How much will the investment be worth after 10 years?
Use the calculator provided and round your answer to the nearest dollar.
Answer:
$6,232.89 or $6,232.90
Step-by-step explanation:
A=P(1+(r/n))^nt
A= 3000(1+(.075/12))^12*10
A= 3,232.89
3,232.89+3000= 6,232.89
Write an expression that is the product of two factors and is equivalent to - 2x - 12.
Answer:
\(-2(x+6)\rightarrow(D)\)Explanation: We need to simply factorize the given to get the expression that is the product of two factors, this is done as follows:
\(\begin{gathered} -2x-12\rightarrow-2(x+6) \\ \text{ We factored out -2} \\ \therefore\rightarrow \\ -2(x+6)\rightarrow\text{ (D) Option} \end{gathered}\)Note! The resulting expression s indeed a product of two factors!
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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After four years of college, Erica has to start paying off all her student loans. Her first payment is due at the end of this month. Her bank told her that she has 7 years to pay off all of her loans, and that starting this month, the loans will be compounded monthly at a fixed annual rate of 9.1%. Erica currently has a total of $34,006.00 in student loans. Use the formula for the sum of a finite geometric sequence to determine Erica's approximate monthly payment.
Answer:
Therefore, the approximate monthly payment is $548.85
Step-by-step explanation:
The amount of student loans Erica currently has = $34,006.00
The duration over which Erica is to pay back the loan = 7 years
The annual interest rate for the loan = 9.1%
Therefore, we have the geometric sequence formula is given as follows;
\(A_n = P( 1 + r)^n - M \times \left [ \dfrac{(1 + r)^n-1}{r} \right ]\)
Where;
M = The monthly payment
P = The initial loan balance = $34,006.00
r = The annual interest rate = 9.1%
n = The number of monthly payment = 7 × 12 = 84
Aₙ = The amount remaining= 0 at the end of the given time for payment
Substituting the values into the above formula, , we get;
\(0 = 34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} - M \times \left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]\)
\(M = \dfrac{34006 \times \left ( 1 + \dfrac{0.091}{12} \right )^{84} }{\left [ \dfrac{\left (1 + \dfrac{0.091}{12} \right )^{84}-1}{\dfrac{0.091}{12} } \right ]} \approx 548.85\)
Therefore, the approximate monthly payment = $548.85
Classify the number -32 by naming the set or sets to which it belongs.
The number -32 as given in the task content can be concluded to belong to the following set of number types; Integers.
What set of numbers does the number -32 belong to?The set of numbers which the number given -32 in the task content is; Integer values.
Although, the set of real numbers consists of all numbers except for complex numbers. However, the number, -32 given belongs to the set of Integers (whole number values).
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this is what truthfully struggle with can someone explain how i do this please then imma try it on my own
Point P is the incenter of ARST.
B
R
C
P
Which must be true?
O CP=RP
BP PC
O ZPSC
O ZBPS
ZPTC
ZAPT
The option that must be true considering the figure showing incenter is
line BP ≅ line PC
What is incenterIncenter is the point of concurrency of the angle bisectors of a triangle. it is the center of the circle that can be inscribed inside the triangle called the incenter
the incenter is equidistant from the three sides of the triangle
hence the lines from the sides of the circle will be equidistant or congruent and this is marked by the symbol ≅
For an incenter, we have that line BP ≅ line PC ≅ line AP
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Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer: hey Andrew Davila it’s green Z
Step-by-step explanation:
Answer:
it might be Green z
Step-by-step explanation:
because there is only three (Z) and one (X) so it represents Green Z
I hope it works out
. Gini is playing a cards game in which she receives -1 points for every red card and +1 for every black card. Gini earned a score of -3. What were Gini's cards? *
A. 8 red cards and 5 black cards
B. 4 red cards and 7 black cards
C. 3 red cards and 3 black cards
D. 1 red card and 2 black cards
Answer:
A, 8 red. arfs and 5 black cards
Step-by-step explanation:
this is because 8 red cards would put and -8, then adding positive 5 (5 black cards) would put her at -3.
Equation: -8 + 5 = -3
A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s. Use the formula h(t)=-16t^2+vt+s where his height above the water at time t seconds, v is the starting upward velocity, and s is his starting point to write an equation to model the dive
Answer:
(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)
We know that:
v is the initial vertical velocity, and we know that it is 10ft/s
then:
v = 10ft/s.
s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:
s = 25ft
Now we can write the height as:
h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now with this equation, we can find the time it takes for the diver to hit the pool.
Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.
With that, we can find the value of t = time, that it takes for the diver to enter the pool.
h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.
Now we can solve this with the Bhaskara equation:
\(t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}\)
We will have two solutions:
t = ((-10 + 41.23)/-32) s = -0.96s
t = (-10 - 41.23)/-32) s = 1.6 s
The negative has no physical sense, so we can discard that option.
This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.
h. what would be the capacity of the process if they integrated the work so that all workers do all three tasks (units per hour)? assume that there is still only 1 worker per station
The capacity of the process would remain the same even if all workers do all three tasks. This is because the capacity of a process is determined by the slowest step, or the bottleneck, in the process.
In this case, the bottleneck is still the same, so the capacity of the process will not change. However, integrating the work so that all workers do all three tasks can increase the efficiency and flexibility of the process, as workers can switch between tasks as needed.
It is important to note that the capacity of the process is not determined by the number of workers or stations, but by the slowest step in the process. Therefore, even if all workers do all three tasks, the capacity of the process will remain the same.
In conclusion, the capacity of the process will remain the same if all workers do all three tasks, as the bottleneck in the process remains the same. However, integrating the work can increase the efficiency and flexibility of the process.
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how is 3 and 4 related to 12 fractions
Answer:
3/4 of 13 is 9
3/4 x 12/1 = (3 x 12) / (4 x 1) = 35/4= 9
The answer is 9
Does this graph show a function? Explain how you know.
-5
10
A. No; there are y-values that have more than one x-value.
B. Yes; there are no y-values that have more than one x-value.
C. No; the graph fails the vertical line test.
D. Yes; the graph passes the vertical line test.
The graph of y = -5x + 10 is a function because (d) yes, because it passes the vertical line test.
Checking if the relation y = -5x + 10 is a functionFrom the question, we have the following parameters that can be used in our computation:
y = -5x + 10
The above equation is a linear function
As a general rule of functions and relations
All linear functions are functions
This is because they pass the vertical line test
So, the true statement is (d)
Hence, the relation y = -5x + 10 is a function because (d) yes, because it passes the vertical line test.
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Complete question
Does this graph show a function? Explain how you know.
y = -5x + 10
A. No; there are y-values that have more than one x-value.
B. Yes; there are no y-values that have more than one x-value.
C. No; the graph fails the vertical line test.
D. Yes; the graph passes the vertical line test.
A newsboy has $2.65, consisting of nickels, dimes and quarters.
If the number of dimes exceeded the number of nickels by 1, and
the number of quarters was equal to the number of nickels
decreased by one, what was the number of each kind of coin?
There will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that a newsboy has $2.65, consisting of nickels, dimes, and quarters
From the condition, the number of dimes exceeded the number of nickels by 1, and the number of quarters was equal to the number of nickels decreased by one.
Let the number of nickels, dimes, and quarters will be n, d, and q respectively.
1 × n = 5 cents
1 × d = 10 cents
1 × = 25 cent
d = n + 1
q = n – 1
As a result,
$2.65 ×100 = 265 cents.
The obtained equations are,
5n + 10d + 25q =265
d = n + 1
q = n – 1
Replace d with n + 1 and q with n - 1 in the equation
5n + 10× (n + 1) + 25 × (n - 1) = 265
5n + 10n + 10 + 25n - 25 = 265
40n -15 = 265
40n = 280
n = 280/40
n = 7 nickels
Substituting the value of n in the equation we get
d = 8 dimes
q = 6 quarters
n + d + q = 265 cents
35 cents + 80 cents + 150 cents = 265 cents
Convert the units from cents to dollars as
265 /100 = $2.65
Thus, there will be 7 nickels, 8 dimes, and 6 quarters of each type of coin. If there were one more dime than nickel and two more quarters than nickels
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In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
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find the absolute minimum and absolute maximum of f(x,y)=10−4x 7y on the closed triangular region with vertices (0,0),(7,0) and (7,9).
The absolute minimum value is -18 at the point (7, 0), and the absolute maximum value is 35 at the point (7, 9) within the given triangular region
To find the absolute minimum and absolute maximum of the function f(x, y) = 10 - 4x + 7y on the closed triangular region with vertices (0, 0), (7, 0), and (7, 9), we need to evaluate the function at the critical points inside the region and at the boundary points.
Critical points:
To find the critical points, we need to find the points where the gradient of f(x, y) is equal to zero.
∇f(x, y) = (-4, 7)
Setting -4 = 0 and 7 = 0, we see that there are no critical points in the interior of the triangular region.
Boundary points:
We need to evaluate the function f(x, y) at the vertices of the triangular region.
(a) f(0, 0) = 10 - 4(0) + 7(0) = 10
(b) f(7, 0) = 10 - 4(7) + 7(0) = -18
(c) f(7, 9) = 10 - 4(7) + 7(9) = 35
Therefore, the absolute minimum value is -18 at the point (7, 0), and the absolute maximum value is 35 at the point (7, 9) within the given triangular region.
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Select the number line that shows that two opposite numbers have a sum of 0.
Answer:
B
Step-by-step explanation:
because when we calculate it will be
Answer:
B
Step-by-step explanation:
The 2 numbers are the same just on opposite sides of 0. Therefore is you add them together, they will equal 0
How many different anagrams (including nonsensical words) can be made from the letters in the word statistics, using all the letters?
50,400 different anagrams can be made from the letters in the word statistics.
Given word : STATISTICS
Anagrams are words formed by jumbling the positions of the letters given in the word.
For such problems we do factorial of number of words and divide by the repeated letters factorials.
Total number of letters = 10
They can be permutated among themselves in 10! ways.
Some letters are repeated in word STATISTICS
Since, there are 3 S's and 3 T's and 2 I's
So, Number of anagrams = \(\frac{10!}{3!.3!.2!}\)
= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3! \times 3 \times 2 \times 1 \times 2 \times 1}\)
= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 2}\)
= 10 × 9 × 8 × 7 × 2 × 5
= 50,400
50,400 different anagrams can be made from the letters in the word statistics.
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Determine the derivative d/dx (y) for y = 2x ^ 3 - 3x + 1
a) x ^ 2 - 3
b) 6x ^ 2 - 3
c) 6x ^ 2 - 3x
d) 3x ^ 2 - 3
We have derivative of y = 6x^2 - 3x. Therefore, the correct option is c) 6x^2 - 3x
To determine the derivative d/dx (y) for the given function y = 2x^3 - 3x + 1, we need to take the derivative of each term with respect to x. The correct option for d/dx (y) is c) 6x^2 - 3x.
To find the derivative of y = 2x^3 - 3x + 1 with respect to x, we differentiate each term separately.
The derivative of 2x^3 is found using the power rule, which states that the derivative of x^n is n*x^(n-1). Applying the power rule, we get 6x^2.
The derivative of -3x is -3, as the derivative of a constant multiplied by x is simply the constant.
The derivative of 1 is 0 since it is a constant term.
Combining these derivatives, we have d/dx (y) = 6x^2 - 3x. Therefore, the correct option is c) 6x^2 - 3x
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How Many BTU In A Ton?
One ton of cooling is equal to 12,000 British Thermal Units (BTUs) per hour.
In the context of air conditioning and refrigeration systems, a ton is a unit of measurement used to describe the cooling capacity of the system. One ton of cooling is equal to 12,000 British Thermal Units (BTUs) per hour.
Therefore, to convert BTUs to tons, you simply need to divide the number of BTUs by 12,000. For example:
24,000 BTUs = 2 tons (24,000 / 12,000)
36,000 BTUs = 3 tons (36,000 / 12,000)
48,000 BTUs = 4 tons (48,000 / 12,000)
60,000 BTUs = 5 tons (60,000 / 12,000)
This conversion is useful when selecting the appropriate size air conditioning or refrigeration system for a given space, as the size of the system will depend on the cooling load required to keep the space at a comfortable temperature.
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alexa started randomly playing a movie and would not stop, despite my repeated orders. what's going on here?
It sounds like you may be experiencing a bug with your Alexa device. This is likely due to a software update or miscommunication between the device and the server.
To resolve this issue, you may need to restart your device by unplugging it from the power source and plugging it back in. You can also try clearing the cache of your device. Additionally, you may need to update the software of your device by visiting the Amazon website and downloading the most recent version of the software. If the issue persists, you may need to contact Amazon customer service for further assistance.
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-4x - 2 (12x - 12) = 10 (12 - 2x) for x
Show work/ say the steps plz.
Calculate X you must include the steps in your solution and the definitions and/or conjuncture that you use
Answer: x = 8
because The upper triangle is an isosceles triangle (the two sides are equal)
=> 5x + 5 = 45°
<=> x = (45 - 5) : 5
<=> x = 40:5 = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
5x + 5 + 5x + 5 + 90 = 180, that is
10x + 100 = 180 ( subtract 100 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Select all the intervals where h is decreasing. PLS HELP LOL
Answer:
Since you helped meh I shall try to help you. :D Hmmmmmm Oop Its A. Its probably askin whwre was H is. beganing to decreases i tried im not that smart qwq
as a project manager, you need to find user opinions on the most purchased product of the year. you decide to conduct a survey to the current user base. what type of data does this represent for your project?
The data collected through the survey of the current user base would represent quantitative data for the project.
What is quantitative data ?Quantitative data refers to numerical data that can be measured and analyzed statistically. In this case, the data collected through the survey would likely include numerical ratings or rankings of the most purchased product of the year, as well as demographic information about the users who completed the survey.
Quantitative data is useful for analyzing trends, patterns, and relationships between variables, and it can provide valuable insights into the preferences and opinions of the user base.
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Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win. The only
possible outcomes of the game are winning and losing.
What is the probability of winning?
Answer:
32.5% Win Rate
Step-by-step explanation:
I got this answer by first:
( 9 ) * x + ( -4 ) * ( 1 - x ) = 0
9x - 4 + 4x = 0
13x = 4
then finally:
13/4 = 3.25 | And to get that into percent you multiply that by 10, giving you a 32.5% win rate. or 325 / 1000. Meaning you will win 325 out of 1000 games you play. Hope this helped!
Probability of winning is 0.69.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
According to the question
Supposed a certain game is fair and costs $4 if you lose and has a net payoff of $9 if you win.
The only possible outcomes of the game are winning and losing.
The probability of winning = \(\frac{9}{4+9}\)
= \(\frac{9}{13}\)
= 0.69
Hence, probability of winning is 0.69.
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