The rate of sales is 2*(32/39)=64/39 per week.
To find the transition rate matrix Q, we need to consider the different possible inventory levels and the rates of transition between them. Let's label the states as 0, 1, 2, and 3, representing the number of computers in stock.
If there are 0 or 1 computers in stock, the arrival rate is 2 per week and the transition rate to the next state is 2. If there are 2 computers in stock, the arrival rate is still 2 per week, but the transition rate to the next state is 4 (since there are two opportunities for a customer to buy).
Finally, if there are 3 computers in stock, the arrival rate is 0 (since customers only buy when at least one computer is available), and the transition rate to the next state is 0 if there is no pending order, or 1/2 if there is.
The resulting transition rate matrix Q is:
[ -2 2 0 0 ]
[ 2 -4 2 0 ]
[ 0 2 -4 1/2 ]
[ 0 0 1/2 0 ]
To find the stationary distribution for the inventory levels, we need to solve for the vector πQ=0, where π is the stationary distribution and Q is the transition rate matrix. Solving this system of equations, we get:
π0 = 16/39, π1 = 20/39, π2 = 4/13, π3 = 0
This means that the store is most likely to have 1 computer in stock, followed by 0, 2, and never 3.
To find the rate of sales, we need to consider the total arrival rate of customers, which is 2 per week. However, customers will only buy when at least 1 computer is available, which occurs with probability π1+π2+π3=20/39+4/13+0=32/39.
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(a) The transition rate matrix Q =
[ -2 2 0 0 ]
[ 0 -1 0 1 ]
[ 0 0 -1 1 ]
[ 0 2 0 -2 ]
(b) The store will have 1 computer in stock about 14% of the time, 2 computers in stock about 29% of the time, and 3 computers in stock about 57% of the time.
(c) The store makes sales at a rate of 1 per week on average.
To find the transition rate matrix Q, we need to consider all the possible states of the system. In this case, the inventory level can be 0, 1, 2, or 3. Let's represent these states by 0, 1, 2, and 3, respectively. The transition rate from state i to state j is denoted by qij.
Starting with state 0, customers arrive at a rate of 2 per week and buy a computer if one is available. Therefore, the transition rate from 0 to 1 is q01 = 2. Since the store orders 2 more computers when it has only 1 left, the transition rate from 1 to 3 is q13 = 1/1 = 1 (because the order takes 1 week on average to arrive). Similarly, the transition rate from 2 to 3 is q23 = 1/1 = 1. Once the order arrives, the inventory level goes up by 2, so the transition rate from 3 to 1 is q31 = 2. Finally, the transition rates for staying in the same state are q00 = 0, q11 = 0, q22 = 0, and q33 = 0.
Putting all these transition rates in a matrix, we get
Q =
[ -2 2 0 0 ]
[ 0 -1 0 1 ]
[ 0 0 -1 1 ]
[ 0 2 0 -2 ]
To find the stationary distribution for the inventory levels, we need to solve the equation Qπ = 0, where π is the vector of stationary probabilities. Since the sum of probabilities in any state must be 1, we also have the condition π0 + π1 + π2 + π3 = 1.
Solving the system of equations, we get
π = [ 1/7 2/7 2/7 2/7 ]
This means that the store will have 1 computer in stock about 14% of the time, 2 computers in stock about 29% of the time, and 3 computers in stock about 57% of the time.
Finally, to find the rate at which the store makes sales, we need to consider the transitions from states 1, 2, and 3 (since no sales can happen in state 0). The total rate of leaving these states is λ = q13π3 + q23π3 + q31π1 = 1/7 + 2/7 + 4/7 = 1. Therefore, the store makes sales at a rate of 1 per week on average.
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Do you think any resulting prediction would be more or less reliable than your original one?
No, The resulting prediction would be more or less reliable than your original one.
Importance:
Prediction is a forecast or a prophecy. An example of a prediction is a psychic telling a couple they will have a child soon, before they know the woman is pregnant. A statement of what will happen in the future.
Predictions provide a reference point for the scientist. If predictions are confirmed, the scientist has supported the hypothesis. If the predictions are not supported, the hypothesis is falsified. Either way, the scientist has increased knowledge of the process being studied.
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12 x (3 + 2 to the second power) divied by 2 - 10
Answer:
32Step-by-step explanation:
Assuming that the question is:
12 * (3 + 2^2) : 2 - 10 = remember PEMDAS
12 * (3 + 4) : 2 - 10 =
12 * 7 : 2 - 10 =
84 : 2 - 10 =
42 - 10 =
32
Answer:
-10.5
Step-by-step explanation:
[tex]\frac{12*(3+2^2)}{2-10}[/tex]
2²= 4
3+4=7
12×7=84
2-10=-8
84÷-8= -10.5
Hope it helped, comment below if you need more assistance! :)
The equation table below represents Lavaughn's earnings in dollars and
cents, y, for working a hours. Find the rate of change.
The rate of change is also known as the slope. The formula to find the slope of a line is (y2 - y1) / (x2 - x1).
You can use any two points, as long as both are on the line.
Point 1 = (2, 55)
Point 2 = (8, 220)
slope = (220 - 55) / (8 - 2)
slope = 165 / 6
slope = 55 / 2 = 27.5 / 1
Lavaughn earns $27.50 for working one hour.
Hope this helps!
How many 4-digit positive integers are there for which there are no repeated digits, or for which there may be repeated digits, but all digits are odd?
The number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.
In this question,
Positive integers are 0,1,2,3,4,5,6,7,8,9
Total number of integers = 10
This can be solved by permutation concepts.
Case 1: 4-digit positive integers with no repeated digits,
First digit, cannot be zero. So remaining 9 digits.
Second digit, can be any digit other than the first digit. So 9 digits.
Third digit, can be any digits other than first and second. So 8 digits.
Fourth digit, can be any digits other than first, second, third digit. So 7 digits.
Thus, Number of ways of 4-digit positive integers with no repeated digits ⇒ (9)(9)(8)(7)
⇒ 4536 ways.
Case 2: 4-digit positive integers, there may be repeated digits, but all digits are odd
Odd integers are 1,3,5,7,9
Number of digits = 5
In this case, we can repeat the digits. So all places can have 5 possibilities.
Thus number of ways of 4-digit positive integers with repeated digits, but all digits are odd = (5)(5)(5)(5)
⇒ 625 ways.
Hence we can conclude that the number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.
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i’ll give brainliest!!
(last choice is d^2sqrt7e)
Answer:
D (the last choice)
Step-by-step explanation:
Taking the fourth root of each element individually:
49^(1/4) = sqrt(7)
(d^8)^(1/4) = d^2
(e^2)^(1/4) = sqrt(e)
Multiplying them back together:
sqrt(7) * d^2 * sqrt(e) = d^2 * sqrt(7e)
Answer:
The last bubble (that of which is cut from the screen) is simplified.
Step-by-step explanation:
The provided equation is simplified by following these steps:
[tex](49d^{8}e^2)^\frac{1}{4}[/tex]
= [tex](49)^\frac{1}{4}(d)^\frac{8}{4}(e)^\frac{2}{4}[/tex]
[tex](7)^\frac{2}{4}(d)^\frac{8}{4}(e)^\frac{2}{4}[/tex]
=[tex]\sqrt{7} (d^2)(\sqrt{e})[/tex]
1. in the function equation ff (xx ) = 1500 (1.43)^x,is this growth or decay? what is the percent of growth/decay? what is the initial value? 2. the number of bacteria in a sample can be modeled by the equation yy = 75(.8)^x, where y is the number of bacteria and x is the number of days elapsed. what is the rate of decay? 3. monthly car sales for a certain type of car are $350,000 and sales are depreciating at a rate of 3% per month. a. write an equation to represent this situation. b. what will the monthly sales be after 8 months? 4. two auction websites start with 100 members each. at site a, the number of members doubles each month. at site b, 500 new members are added each month. between months 5 and 6, which website gains more members and by how much?
1. The given function is growth.
The percent of growth is 43%.
The initial value is 1500.
2. The rate of decay is 20% per day.
3. a. The exponential equation representing the sales after x months for the given situation is 3500000(0.97ˣ).
b. The monthly sales after 8 months will be $274,310.1758.
4. Between months 5 and 6, the website gains more members. The difference between the two sites for this period is 2700 members.
An exponential function is of the form f(x) = (a)(bˣ), where a is the initial value, and b is the exponential factor.
When b > 1, we have growth, and when b < 1, we have decay or depreciation.
1. Given function, f(x) = 1500(1.43ˣ).
The exponential factor in this function is 1.43, which is greater than 1, thus we have growth.
The percent of growth = (1.43 - 1)*100% = 43%.
The initial value = 1500.
2. Given an equation, y = 75(.8ˣ).
The exponential factor in this function is 0.8, and x signifies the days passed.
Thus, the rate of decay = (1 - 0.8)*100% per day = 20% per day.
3. Initial value = $350,000.
Rate of depreciation = 3% per month.
a. Thus, the equation for the sales after x months can be given as:
f(x) = 350000(1 - 0.03)ˣ = 350000(0.97ˣ).
b. To find the monthly sales after 8 months, we substitute x = 8.
Sales = 350000(0.97⁸) = $274,310.1758.
4. Initial members for both sites = 100.
For site a:-
Members double each month.
This makes an exponential equation, f(x) = 100.(2ˣ), where x is the number of months.
The growth between months 5 and 6 can be calculated as:
f(6) - f(5) = 100.(2⁶) - 100.(2⁵) = 6400 - 3200 = 3200.
For site b:-
500 new members are added each month.
This makes a linear equation, f(x) = 100 + 500x, where x is the number of months.
The growth between months 5 and 6 can be calculated as:
f(6) - f(5) = (100 + 500*6) - (100 + 500*5) = 3100 - 2600 = 500.
Thus, between months 5 and 6, the website a gains more members. The difference between the two sites for this period is 2700 members.
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why is there always more than one parallelogram with the same area and base
Answer:
If every line parallel to two lines intersects both regions in line segments of equal length, then the two regions have equal areas. In the case of your problem, every line parallel to the bases of the two parallelograms will intersect them in lines segments, each with a width of ℓ.
There are infinitely many parallelograms with the same area and base due to the variability of the height.
We have,
There is always more than one parallelogram with the same area and base because the height of the parallelogram can vary while keeping the base and area constant.
The formula to calculate the area of a parallelogram is:
Area = base × height
If the base and area of a parallelogram are fixed, we can rearrange the formula to solve for the height:
height = Area/base
Since the height can be any value as long as it satisfies the above equation, there are infinitely many possible heights for a given base and area.
And for each height, there will be a unique parallelogram with that base and area.
Imagine a rectangle as a special case of a parallelogram where all angles are 90 degrees.
For a given base and area, you can have an infinite number of rectangles by varying the height.
Each rectangle will have different side lengths, but they will all have the same base and area.
Thus,
The variability of the height while keeping the base and area constant allows for the existence of multiple parallelograms with the same area and base.
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Make a study of minimum amount of basic nutrients needed for a 12-year-old child to survive in the world
Basic nutrients a 12-year-old needs are:
ProteinCarbohydratesFatsCalciumIronFolate FiberVitamin AVitamin CWhat are nutrients?A nutrient is a material that an organism requires in order to survive, grow, and reproduce. Animals, plants, fungi, and protists are all required to consume dietary nutrients. Nutrients can be absorbed by cells for metabolic reasons or expelled by cells to form non-cellular structures such as hair, scales, feathers, or exoskeletons. Some nutrients, such as carbohydrates, lipids, proteins, and fermentation products (ethanol or vinegar), can be metabolically reduced to smaller molecules in the process of generating energy, resulting in the end products of water and carbon dioxide.The following are the nine nutrients that a youngster should consume on a daily basis:
ProteinCarbohydratesFatsCalciumIronFolate FiberVitamin AVitamin CTherefore, basic nutrients a 12-year-old needs are given.
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How much work is performed lifting in order to lift a 50.0 kg block 7.00 meters? Use g=9.81 m/s^2
The work done in lifting the block is 3430 J
Calculating workFrom the question, we are to determine the work done in lifting the block
Using the formula,
Work done = mgh
Where m is the mass
g is the acceleration due to gravity
and h is the height
From the question,
m = 50.0 kg
g = 9.81 m/s²
h = 7.00 m
Putting the parameters into the formula,
Work done = 50.0 ×9.8 × 7.00
Work done = 3430 J
Hence, the work done in lifting the block is 3430 J
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The floor of a rectangular room measures 5m by 4m and the ceiling is 3m from the floor. An ant is at the top of a corner of the room and crawls to the opposite bottom corner of the room. Find the shortest distance it can travel.
Answer: [tex]5\sqrt{2}[/tex] m
Step-by-step explanation:
Using the pythagorean theorem, we get that the shortest distance it can travel is [tex]\sqrt{3^2+4^2+5^2}[/tex] = [tex]5\sqrt{2}[/tex] m
El rio Lempa sirve de linea fronteriza entre Honduras y El Salvador, mide 300km
de largo. ¿Cuántos metros mide este rio?
Answer:
El río mide:
300000 metros.
Step-by-step explanation:
1 km = 1000 metros
300 km = 300 * 1000 = 300000 metros
...
For which mapped relation is the domain ?
Answer:
C.
Step-by-step explanation:
For any of the given functions, all of the first input values (x-values) in the relation are considered the domain values. On the other hand, the output values (y-values) are called the range values of the given equation.
The mapped relation is the domain (1, 2, 3). Since this is domain values (x-values), the correct answer will be the mapped with 1, 2, and 3 on the left side.
The correct answer is C.
Hope this helps!
what is 8 square root of 6. answered as a square root ?
The value of 8√6 as a square root is √384
Surd expressionSurd are written as the square root of prime numbers. Given the expression below;
8√6
This is can be written as;
8√6 = √(8 * 8 * 6)
8√6 = √64 * 6
8√6 = √384
Therefore the value of 8√6 as a square root is √384
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HELP swiftly
Im not fully sure but does x measure 100?
x =x=x, equals
^\circ
∘
The value of X is 100 degree.
According to the statement
we have to find the value of x degree which represent the angle.
In this figure
we see that there are two angles which are vertically opposite angles and there is rule that the values of vertically opposite angles are always same.
So, due this reason Here the value of x is 100 degree
because in this figure the given angle which is 100 degree are vertical to the angle which we have to find and that angle which x, so, the value of x is same as the value of vertical angle.
so these angles are vertical angles. that's why x is 100 degree.
So, The value of X is 100 degree.
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Solve for x in the diagram below
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\text{3x = 120}^\circ[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\text{3x = 120}^\circ[/tex]
[tex]\huge\textbf{Divide \boxed{\bf 3} to both sides:}[/tex]
[tex]\rm{\dfrac{3x}{3} = \dfrac{120}{3}}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\rm{x = \dfrac{120}{3}}[/tex]
[tex]\rm{x = 40}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x =}\frak{40}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
ppppp-pp help please.
Answer:
There are two complex roots:
[tex]-3\pm i[/tex]============
Given equation:x² - 6x + 10 = 0The standard form is:
ax² + bx + c = 0Compared we can find values of the coefficients and the constant:
a = 1, b = - 6, c = 10Substitute these values into quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
and work out roots:
[tex]x=\dfrac{-(-6)\pm\sqrt{(-6)^2-4*1*10} }{2*1}=x=\dfrac{6\pm\sqrt{36-40} }{2}=\dfrac{6\pm2\sqrt{-1} }{2}=3 \pm i[/tex]
5/8 + 1 1/4 = x/10
solve for x
Answer:
x = 75/4
Step-by-step explanation:
5/8 + 1 1/4 = x/10
5/8 + 5/4 = x/10
15/8 = x/10
8x = 15 × 10
8x/8 = 150/8
x = 150/8
x = 75/4
Prove or disprove the following. In any group of two or more people, there are always at least two people who have the same number of friends. Assume that if a person p is a friend of a person q then q is also a friend of p.
Yes we can prove that in the group of more than two people that there are at least two people that have the same number friends given the condition here.
How to go about this proofLet us create a variable P. P is an individual called Joe. Now Joes seems to know all at this party. This tells us that all at this party should at least know him.
We have the set {1,2,...n-1} , given that the minimum number of persons that one person knows is 1.
Let us assume we have Harry. Harry is a party crasher who came to the party. Hence it is possible that someone like Joe that knows all at the party may not even know him. Hence the maximum persons that a person would know is given to be n. The set would then be {0, 1,...,n-2}.
There are n elements in the 2 sets that we have above. Given that n people are at this function, and there are n possibilities for the number that one person can know of the participants, then we can say that at least two people can then know equal number of persons at the party.
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A point in quadrant iii is reflected across the y-axis. what is true about the new location? check all that apply.
The new location is in Quadrant IV and The new location has a positive x-coordinate and a negative y-coordinate. Hence, option b and c are correct.
What are Coordinates?The horizontal and vertical addresses of any pixel or addressable point on a computer display screen are, respectively, represented by the x and y coordinates.The pixel (pixel 0) on the far left of the screen serves as the beginning point for the x coordinate, which is a predetermined distance along the horizontal axis of a display.The y coordinate is a specified range of pixels along a display's vertical axis, starting at the top pixel (pixel 0). The x and y coordinates work together to pinpoint any particular pixel location on the screen.As values relative to any beginning point on the screen or any portion of the screen, such as an image, x and y coordinates can also be given.Solution:
If the point were to reflect across the y-axis, it would fall into the fourth quadrant.
Additionally, the coordinates will be positive for the x-axis and negative for the y-axis.
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I hope you are trying to ask the question below:
Question
A point in Quadrant III is reflected across the y-axis. What is true about the new location? Check all that apply.
a. The new location is in Quadrant II.
b. The new location is in Quadrant IV.
c. The new location has a positive x-coordinate and a negative y-coordinate.
d. The new location has a negative x-coordinate and a positive y-coordinate.
e. The new location has negative x- and y-coordinates.
Area=
Help me please :(
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "area and graphs." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
A conjecture and the paragraph proof used to prove the conjecture are shown. Given: angle 2 is congruent to angle 3. Prove: angle 1 and angle 3 are supplementary. A horizontal line. Two rays extend from upper region of the line diagonally down to the left and right and intersect the line forming interior angles labeled as 2 and 3 and an exterior angle labeled as 1. Drag an expression or statement to each box to complete the proof. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. ∠1 and ∠2 form a linear pair, so ∠1 and ∠2 are supplementary by the Response area. Therefore, m∠1+ Response area = 180° by the definition of supplementary. It is given that ∠2≅ Response area, so m∠2=m∠3 by the Response area. By substitution, m∠1+m∠3=180°, so ∠1 and ∠3 are supplementary by the definition of supplementary. angle congruence postulatelinear pair postulatem∠2m∠3∠3∠2
The fill up of the missing points are:
∠1 and ∠2 form a linear pair, so ∠1 and ∠2 are supplementary by the Linear Postulate theorem. Therefore, m∠1+m∠2 = 180° by the definition of supplementary. It is given that ∠2≅ ∠3, so m∠2=m∠3 by the Congruence Postulate theorem. By substitution, m∠1+m∠3=180°, so ∠1 and ∠3 are supplementary.What is the angles about?Using the image attached, one can see that m<1 and m<2 creates a kind of linear pair hence one can say they are both supplementary using the law of LINEAR POSTULATE THEOREM.
Based on the fact that the supplementary angles add up to 180 degrees, therefore:
m<1 + m<2 = 180 - will be equation 1
Since the interior angles m<2 and m<3 are known to be equal based on the CONGRUENCE POSTULATE THEOREM. Therefore
m<2 = m<3 --- will be equation 2
Then place eqn. 2 into eqn. 2
m <1 + m <3 = 180
This connote that m<1 and m<3 are supplementary.
Hence, The fill up of the missing points are:
∠1 and ∠2 form a linear pair, so ∠1 and ∠2 are supplementary by the Linear Postulate theorem. Therefore, m∠1+m∠2 = 180° by the definition of supplementary. It is given that ∠2≅ ∠3, so m∠2=m∠3 by the Congruence Postulate theorem. By substitution, m∠1+m∠3=180°, so ∠1 and ∠3 are supplementary.Learn more about the angle from
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How many more times intense, to two decimal places, was the 2011 earthquake in Japan that measured 9.0 on the Richter scale than the 1905 earthquake in San Francisco that measured 8.1 on the Richter scale?
Using the properties of logarithms, it is found that the earthquake in Japan in 2011 was 12.92 times more severe.
How to find the ratios of the intensity of earthquakes?As given in the problem, the intensities of the earthquakes are given by logarithms of base 10. Then, supposing that the intensities are [tex]R_1, R_2 > 0, R_1 > R_2[/tex], the ratio of the intensities is given by:
[tex]10^{\frac{R_1}{R_2}}[/tex]
The intensities for this problem are [tex]R_1 = 9, R_2 = 8.1[/tex], hence the ratio is:
[tex]10^{\frac{9}{8.1}} = 12.92[/tex]
The earthquake in Japan in 2011 was 12.92 times more severe.
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20 POINTS
good morning, can you please help me
Answer:
Khan Academy.
Step-by-step explanation:
You can go on khan academy and search up "percentages and numbers." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.
Graph the function shown g(x)=-|x-4|
Using translation concepts, the graph of g(x) = -|x - 4| is shown at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The graph of g(x) = -|x - 4| is the graph of f(x) = |x| with these following changes:
Reflection over the x-axis.Shift right of 4 units.At the end of the answer, the graph shows functions f(x) in red and g(x) in blue.
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Based on the graphs of the equations y = x + 7 and y = x2 – 3x + 7, the solutions are located at points:
The correct option is A. (4, 11) and (0, 7).
The solution of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points: (4, 11) and (0, 7).
What is the system of linear equation?Estimate the y-intercept, slope, and express the equation in the form of the y-intercept (y = mx + b) to find the graphed equation. The slope is the difference between the y- and x-axis values.
A graph equation is an equation in graph theory where the unknown is a graph. Isomorphic ideas are one of the key issues in graph theory.
The equations are; y = x + 7 and y = x² - 3x + 7
At the solution, the u-values are equal, which gives;
y = y
x + 7 = x² - 3·x + 7
x² - 3·x + 7 - (x + 7) = 0
x² - 4·x = 0
x·(x - 4) = 0
x = 4, or x = 0
When x = 4, y = 4 + 7 = 11
When x = 0,
y = 0 + 7 = 7
Therefore, the solution for the equations y = x + 7 and y = x² - 3x + 7 are are located at points: (4, 11) and (0, 7).
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The complete question is-
Based on the graphs of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points:
A. (4, 11) and (0, 7)
B. (4, 11) and (–7, 0)
C. (–7, 0) and (1.5, 4.75)
D. (1.5, 4.75) and (0, 7)
does anyone want to play tarkov and run customs or something lol? add me on disc destructer11#0001
Answer:
Step-by-step explanation:
Mabye later
Determine the explicit formula for the sequence 4, 7, 14, 25
Step-by-step explanation:
You already know that we use tn=an²+bn+c for these kinds of sequences:
4, 7, 14, 25, ...
7–4=314–7=7now
7–3=4
So 2a=4===> a=2
[tex] a_{1} = 4 = = > n = 1 \\ 4 = 2 \times {1}^{2} + b + c = = = = > \\ b + c = 2[/tex]
[tex] a_{2} = 7 = = > n = 2 = = = > \\ 7 = 2 \times {2}^{2} + 2 \times b + c = = = > \\ - 1 = 2b + c[/tex]
b+c=22b+c=–1b=–3, c=5
So the final result is:
[tex] t_{n} = 2 {n}^{2} - 3n + 5[/tex]
What is the probability that any given car will have a brake failure if it is make a?
The probability that any given car will have a brake failure if it is make a is 0.0065%
How to determine the probability?The complete question is added as an attachment
From the table in the question, we have:
P(Brake failure|car a) = 0.0065%
The above represents the required conditional probability
Hence, the probability that any given car will have a brake failure if it is make a is 0.0065%
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Answer: The probability that any given car will have a brake failure if it is making A, is 0.0065%.
Step-by-step explanation:
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To find proportion of the area under the normal curve between two Z scores that are both above the mean, it is necessary to examine the ______. Group of answer choices
It is necessary to imagine the sum of the areas between each z-score and the average.
Given as the ratio of the area under the normal curve between two z-scores, both above average.
The Z score accurately measures the number of standard deviations above or below the mean of the data points.
The formula for calculating the z-score is
z = (data points – mean) / (standard deviation).
It is also expressed as z = (x-μ) / σ.
A positive z-score indicates that the data points are above average.A negative z-score indicates that the data points are below average.A z-score close to 0 means that the data points are close to average. The normal curve is symmetric with respect to the mean and needs to be investigated.Therefore, to find the percentage of the area under the normal curve between two z-scores, both above the mean, you need to look at the sum of the areas between the z-score and the mean.
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P(A)=[tex]\frac{9}{20}[/tex],P(B)=[tex]\frac{3}{5}[/tex],P(A∩B)=[tex]\frac{27}{100}[/tex] ,P(A∪B)=?
The value of the probability P(A∪B) is 39/50
How to determine the probability?The given parameters are:
P(A)= 9/20
P(B) = 3/5
P(A∩B) = 27/100
To calculate the probability P(A∪B), we make use of the following equation
P(A∪B) = P(A) + P(B) - P(A∩B)
So, we have:
P(A∪B) = 9/20 + 3/5 - 27/100
Evaluate the expression
P(A∪B) = 78/100
Simplify
P(A∪B) = 39/50
Hence, the value of the probability P(A∪B) is 39/50
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