Answer: 1. +8 2. +10 degrees
Step-by-step explanation:.
Please help need by tomorrow it would be very very very appreciated
The solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).
One method to solve the given system of equations is substitution:
- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).
- Substitute the expression for the variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable
Using this method with the given equations
- x - y = 9 -> x = 9 + y
- 3x + 2y = 22 -> 3(9 + y) + 2y = 22
- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1
- Substituting y = -1 into x = 9 + y: x = 8
To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.
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1. you have three baskets of fruit. one has apples, one has oranges, and one is a mix of the two. all the baskets are mislabeled. how many fruits do you need to pull out of how many baskets to correctly label them all.
To label the three basket correctly , We have to pull out total two fruits from all of them
Let Say , We are drawing a fruit from a basket labelled "Mixture"
If this fruit is an apple, then indicate such on the label (Because this basket does not contain Mixture, so if one is apple, all are apples only). We've now discovered that the basket marked "Mixture" solely includes apples.
Therefore , the Correct Label is "apples"
Now, Drawing another fruit from basket labelled "Oranges," we can see that it either contains solely apples or mixture. The basket marked "Oranges" contains "Mixture," as we already know which basket only contains apples. Put "Mixture" on the label.
Oranges will be the name of the third basket.
The same reasoning holds true if you suppose that you initially chose an orange from the basket marked "Mixture."
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ten drill bits are randomly selected from a process. the times to failure (i.e., loss of acceptable sharpness) for the bits are recorded as 37, 39, 42, 43, 49, 50, 54, 55, 59, and 63 hours. assuming the failure times have a weibull distribution, analyze the data using probability plotting. estimate the shape and scale parameters. plot the original data versus the cdf model corresponding to your parameter estimates. add confidence limits.
In probability plotting, a graph of the cumulative distribution function (CDF) is plotted against a transformed version of the data to determine if the data come from a particular distribution.
The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.
This can be used to analyze the times to failure (i.e., loss of acceptable sharpness) for a random selection of ten drill bits from a process that follows a Weibull distribution.
To estimate the shape and scale parameters
follow these steps:
Step 1: Rank the data from smallest to largest
Step 2: Calculate the failure probability of each data point using the formula: i/(n+1), where i is the rank of the data point and n is the number of data points.
Step 3: Transform the failure probabilities using the inverse Weibull distribution function: F^(-1)(p) = (−ln(1−p))^β for a given shape parameter β and scale parameter η.
Step 4: Plot the transformed data against the theoretical distribution, which is a straight line for the Weibull distribution.
Step 5: Find the best-fitting line by eye, or by using regression analysis.
The slope of the line is equal to the shape parameter β, and the intercept is equal to the logarithm of the scale parameter ln(η).
The Weibull distribution can be represented as:\(F(x) = 1 − e^(-(x/η)^β)\), where β is the shape parameter and η is the scale parameter. The CDF model corresponding to your parameter estimates can be plotted by using the formula . This can be done by calculating the standard deviation of the residuals, and then calculating the upper and lower limits of the confidence interval using the t-distribution.
The confidence interval can be calculated as:β ± t(n−2,α/2) x SE(β)ln(η) ± t(n−2,α/2) x SE(ln(η))where SE(β) is the standard error estimate for the shape parameter, SE(ln(η)) is the standard error estimate for the logarithm of the scale parameter, and t(n−2,α/2) is the critical value of the t-distribution with n−2 degrees of freedom and a significance level of α/2.The confidence limits can be plotted as two parallel lines around the best-fitting line. The distance between the two lines is equal to the product of the critical value of the t-distribution and the standard error estimate.
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two students simplified the expressions shown. describe each student's mistake and give the correct simplified expression.
Tyrell ) 16 - 2 (4 + 3x)
16 - 8 + 3x
3x + 8 -5x
A. Describe tyrell's mistake:
B. What is the correct simplified expression?:
A. Tyrell's mistake was he did not open the bracket properly.
B. The correct simplified expression is 8 -6x.
From the question,
Tyrell simplified the expression 16 - 2 (4 + 3x) as 16 - 8 + 3x.
Tyrell's mistake was he did not open the bracket properly. He was supposed to multiply the term outside (-2) by each of the terms inside the bracket (4 and +3x). The correct simplified expression is as follows16 - 2 (4 + 3x)
First, open the bracket by distributing -2. We get
16 -8 -6x
Simplifying further, we get
8 -6x
Hence, the correct simplified expression is 8 -6x.
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Fifty people went to see two different movies. Forty people saw Movie A and twenty people saw both Movie A and Movie B. How many people saw Movie B? PLEASE HELP
A. 10
B. 20
C. 30
D. 40
E. 50
Answer:
5
Step-by-step explanation:
Find m∠LOM for brainliest
Answer:
Hello! answer: 48
Step-by-step explanation:
× = 20 20 × 7 = 140 140 - 92 = 48 HOPE THAT HELPS!
if the value for δs is postive, and the value for δh is negative, thr reaction will be
A positive δS and a negative δH indicate a spontaneous reaction.
The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:
ΔG = ΔH - TΔS
where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.
For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.
If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.
In summary, a positive δS and a negative δH indicate a spontaneous reaction.
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Given the following table and graph write the equation to represent the exponential function.
Answer:
The exponential equation is y = -2×(1/2)^x
Step-by-step explanation:
Ok we have a couple things to note here:
1) The horizontal asymptote of the function is the x axis (always nice)
2) At x=0, y=-2 (i.e, this function will be multiplied by -2 bc the exponent part will transform into one at x=0)
3) Then we need to ascertain the base of the exponential. Based on the facts that at x=1, y=-1 and the "a-value" is -2, we can set up an equation to find b:
y=a×b^x----> -1 = (-2)(b) ------> b=1/2
Therefore, the exponential equation is y = -2×(1/2)^x
Test:
At x = 0, y= -2
At x = -1, y = (-2)*(1/2)^-1 = (-2)*2 = -4
At x=2, y = (-2)*(1/2)^2= (-2)*(1/4) = -1/2
Thus we can be quite certain that this is correct
The cost for 16 ounces of cheese is $3.20. What is the cost for 20 ounces of cheese? The cost for 20 ounces of cheese is $
Answer:
Step-by-step explanation:
What is the minimum possible value of a European call if S = 52;
K = 50, r (annual rate of interest) = 24% and time remaining to
maturity is 3 months? (10 pts)
Note: Use simple rate of interes
The minimum possible value of the European call option is approximately 2.8752.
Given the parameters S = 52 (current stock price), K = 50 (strike price), r = 24% (annual interest rate), and a time to maturity of 3 months, we can calculate the minimum call option value.
The Black-Scholes formula for European call option pricing is as follows:
C = S * N(d1) - K * e^(-r*T) * N(d2)
Where:
C = Call option price
S = Current stock price
N = Cumulative standard normal distribution function
d1 = (ln(S/K) + (r + σ^2/2) * T) / (σ * sqrt(T))
d2 = d1 - σ * sqrt(T)
K = Strike price
r = Annual interest rate
T = Time to maturity (in years)
e = Euler's number (approximately 2.71828)
σ = Implied volatility of the underlying asset
Using the provided values, we can calculate the minimum call option value as follows:
d1 = (ln(52/50) + (0.24 + 0^2/2) * (3/12)) / (0.24 * sqrt(3/12))
= (ln(1.04) + 0.12 * 0.25) / (0.24 * 0.1443)
= (0.0392 + 0.03) / 0.0346
= 1.7507
d2 = 1.7507 - 0.24 * sqrt(3/12)
= 1.7507 - 0.24 * 0.1443
= 1.7507 - 0.0346
= 1.7161
N(d1) = N(1.7507) ≈ 0.9599 (using standard normal distribution table)
N(d2) = N(1.7161) ≈ 0.9569 (using standard normal distribution table)
C = 52 * 0.9599 - 50 * e^(-0.24 * (3/12)) * 0.9569
= 49.9152 - 50 * e^(-0.06) * 0.9569
≈ 49.9152 - 50 * 0.9408
≈ 49.9152 - 47.040
≈ 2.8752
Therefore, the minimum possible value of the European call option is approximately 2.8752.
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of the last 15 trains to arrive at Springfield Station, none of them were on time.
What is the experimental probability that the next will be on time?
M is a point on line segment LH. KM is a line segment. Select all the equations that represent the relationship between the measures of the angles in the figure.
Group of answer choices a = b a + b = 90 b = 90 − a a + b =180 180 − a = b 180 = b − a
Answer:
180 - a = b and a + b = 180
Step-by-step explanation:
What is the volume of a right cone that has a radius of 4 units and a height of 6 units?
The volume of the right cone is calculated as: 100.48 units³.
How to Calculate the Volume of a Cone?The volume of a right cone with a radius of r, and an height of h, is calculated using the formula given as:
Volume of a right cone = 1/3 × π × r² × h.
The right cone has the following parameters:
Radius (r) of the right cone = 4 units
Height (h) of the right cone = 6 units
π = 3.14
Plug in the values into 1/3 × π × r² × h:
Volume of a right cone = 1/3 × 3.14 × 4² × 6
Volume of a right cone = 1/3 × 3.14 × 16 × 6
Volume of a right cone = 1 × 3.14 × 16 × 2
Volume of a right cone = 100.48 units³
In conclusion, the volume of the right cone is calculated as: 100.48 units³.
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Answer:
very late but the answer is pi 32 units by the power of 3!
Step-by-step explanation:
theta with hat on top subscript 1 and theta with hat on top subscript 2 are unbiased estimators of the same parameter theta. what condition must be imposed on the constants k subscript 1 and k subscript 2 so that the quantity 10 k subscript 1 theta with hat on top subscript 1 plus 10 k subscript 2 theta with hat on top subscript 2 is also an unbiased estimator of theta?
The scaled values sum up to 1/10.
How to find unbiased estimator?For a linear combination of unbiased estimators to be unbiased, the coefficients must add up to 1. That is:k subscript 1 + k subscript 2 = 1
E[10 k subscript 1 theta with hat on top subscript 1 + 10 k subscript 2 theta with hat on top subscript 2] = 10 k subscript 1 E[theta with hat on top subscript 1] + 10 k subscript 2 E[theta with hat on top subscript 2]
Since both estimators are unbiased, we have:E[theta with hat on top subscript 1] = theta
E[theta with hat on top subscript 2] = theta
Substituting these values into the above equation, :E[10 k subscript 1 theta with hat on top subscript 1 + 10 k subscript 2 theta with hat on top subscript 2] = 10 k subscript 1 theta + 10 k subscript 2 theta = theta (10 k subscript 1 + 10 k subscript 2) = theta
k subscript 1 + k subscript 2 = 1
10 k subscript 1 + 10 k subscript 2 = 10
Dividing both sides by 10:k subscript 1 + k subscript 2 = 1
k subscript 1/10 + k subscript 2/10 = 1/10
Therefore, their sum is equal to 1, and their scaled values sum up to 1/10.
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(8x-12) (3x+5)=360
Can y’all please help me solve this problem. It is a polygon theorem
Answer:
360 polygon
Step-by-step explanation:
follow me and mark this answer
evaluate the expression below when x is 4
3x^2 +5 =
Answer:
\(\fbox {53}\)
Step-by-step explanation:
⇒ 3x² + 5
Substitute x = 4 :
⇒ 3(4)² + 5
⇒ 3(16) + 5
⇒ 48 + 5
⇒ 53
Help fast pleaseeeeeeee
Answer:
y = \(1500(.932)^{t}\)
Step-by-step explanation:
Maggie plans to sell the bracelets she makes for a price of $5.50 each. For every bracelet she makes, she has costs of $0.05 for each of the 21 beads used, $0.74 for each of the two charms used, and $1.09 for the chain with clasp used. Which of these would result in Maggie NOT earning a profit on the sale of a bracelet?
Price of each bracelets , P = $5.50 .
Cost price = $0.05 for each of the 21 beads used + $0.74 for each of the two charms used + $1.09 for the chain with clasp used.
Cost price = $( 0.05×21 + 0.74×2 + 1.09 )
Cost price = $3.62 .
Now, profit is given by :
Profit = Selling price - Cost price
Profit = $(5.50 - 3.62)
Profit = $1.88
Therefore, she will not bear any loss.
Can someone help me with this pls I will give 10 points thank. You
Answer:
28 days
Step-by-step explanation:
It says that there are 4 weeks until her vacation. It also says there are 7 days in a week. It asks how many DAYS until her vacation so all we have to do is multiply 7 by 4 to get 28. 28 days.
Answer:
28 days
Step-by-step explanation:
1. If 1 week equals 7 days, and we need to find the amount of days in 4 weeks, we just have to multiply 4 by 7 to get the number of days left.
4 · 728Therefore, there are 28 days left until Latricia's vacation.
work out( 10-3 times 2)^2
Answer:
16
Step-by-step explanation:
The answer is 16
one night a theater sold 548 movie tickets and adult ticket cost 6.50 and a child's ticket cost 3.50 and all $2,881 was taken in how many of each kind of ticket were sold
Answer:
Adults tickets sold = 321
and children tickets sold = 227
Step-by-step explanation:
Let Adults tickets are represented by x
and children tickets are represented by y
If theater sold 548 movie tickets writing it in algebraic expression we get:
Adults ticket cost $6.50 and a child’s ticket cost $3.50. In all, $2881 was taken in. Writing it in algebraic expression we get:
We need to find value of x and y
Solving the system of equations and finding value if x and y.
and
Let:
Multiply eq(1) wit 3.50 and subtract both equations
So, value of x = 321
Now finding value of y by putting value of x in eq(1)
Value of y= 227
So, Adults tickets sold = 321
and children tickets sold = 227
Keywords: Word Problems
Step-by-step explanation:
A house plan has concrete stairs leading down into the garage. How much concrete is needed to make the stairs?
The amount of concrete needed to make the stairs for a house plan depends on various factors, such as the size and shape of the stairs, the thickness of the concrete, and the depth and width of the steps.
- The first step in calculating the amount of concrete needed for the stairs is to determine the size and shape of the stairs. This includes the height, length, and width of the stairs, as well as the number of steps required.
- The thickness of the concrete is also an important factor in determining the amount of concrete needed. Typically, the thickness of concrete stairs ranges from 4 to 6 inches, but this may vary depending on the weight they will be supporting and the local building codes.
- The depth and width of the steps also affect the amount of concrete needed. The standard depth for a step is around 10 inches, while the width ranges from 36 to 48 inches. However, these measurements can be adjusted according to the needs and preferences of the homeowner.
- Once all of these factors are determined, the amount of concrete needed can be calculated using a formula that takes into account the volume of the stairs. The formula is: volume = height x length x width.
- For example, if the stairs are 4 feet high, 10 feet long, and 3 feet wide, the volume of concrete needed would be: 4 x 10 x 3 = 120 cubic feet.
- It is important to note that this is just an estimate, and the actual amount of concrete needed may vary depending on other factors such as the type of concrete mix used, the weather conditions during pouring, and the expertise of the contractor.
Long answer: The amount of concrete needed to make the stairs for a house plan can vary depending on several factors. The first factor to consider is the size and shape of the stairs. The size of the stairs is determined by the height, length, and width of the stairs, as well as the number of steps required. The shape of the stairs can also vary, from straight flights to curved or spiral designs.
Another important factor to consider is the thickness of the concrete. The thickness of concrete stairs ranges from 4 to 6 inches, but this may vary depending on the weight they will be supporting and the local building codes. Thicker stairs are typically required for heavier loads or for areas with high foot traffic.
The depth and width of the steps are also important factors to consider when calculating the amount of concrete needed. The standard depth for a step is around 10 inches, while the width ranges from 36 to 48 inches. However, these measurements can be adjusted according to the needs and preferences of the homeowner.
Once all of these factors are determined, the amount of concrete needed can be calculated using a formula that takes into account the volume of the stairs. The formula is: volume = height x length x width.
For example, if the stairs are 4 feet high, 10 feet long, and 3 feet wide, the volume of concrete needed would be: 4 x 10 x 3 = 120 cubic feet. This calculation assumes that the stairs are straight and have a uniform width and depth. If the stairs are curved or have irregular dimensions, the amount of concrete needed will be different.
It is important to note that this is just an estimate, and the actual amount of concrete needed may vary depending on other factors such as the type of concrete mix used, the weather conditions during pouring, and the expertise of the contractor.
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Directions - Convert each equation to slope intercept form, then determine if the lines are parallel, perpendicular, or neither(intersecting).
A) 2z+3y=9
B) 2y-32=8
Slope Intercept Equation
Para, Perp, or Neither
The slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.
We know that,
The meaning of slope intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Given that two equations, we need to find their slope intercept form, and determine if the lines are parallel, perpendicular, or neither (intersecting).
The given equations are;
A) 2x + 3y = 9
B) 2y - 3x = 8
The general equation of a line, in a slope intercept form, is given by,
y = mx + c, where m is the slope of the line and c is the y-intercept,
A) 2x + 3y = 9
3y = 9-2x
y = -2x/3 + 3....(i)
B) 2y - 3x = 8
2y = 3x+8
y = 3x/2 + 4.....(ii)
Here, the slope are -2/3 and 3/2, we can say that both the slopes are negative reciprocal of each other,
We know that slopes of two perpendicular lines are negative reciprocal of each other,
Therefore, the given two line are perpendicular to each other.
Hence, the slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.
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Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
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Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
plz I need help with this ASAP
Answer:
Step-by-step explanation:
in step 4, he subtracted the wrong direction
Determine whether the triangles are similar by
AA similarity, SAS similarity, SSS similarity,
or not similar.
Answer: Not similar
Step-by-step explanation:
They are telling you that you have a Side and a Side that are similar. The sides of the smaller triangle are multiplied by 2 to get the larger triangle, but you need a 3rd element for it to be similar. You have SS but you need another side or angle for it to be similar
Not similar
(3x2y) 3
Evaluate the expression
Answer:
27x ^6 y ^3
Step-by-step explanation:
Answer:
\(27x^{6} y^{3}\)
Step-by-step explanation:
\((3x^{2} y)^{3}\)
→ Write out as a multiplication
\(3x^{2} y*3x^{2} y*3x^{2} y\)
→ Simplify
\(27x^{6} y^{3}\)
if m ≤ f(x) ≤ m for a ≤ x ≤ b, where m is the absolute minimum and m is the absolute maximum of f on the interval [a, b], then m(b − a) ≤ b a f(x) dx ≤ m(b − a). use this property to estimate the value of the integral. ????⁄9 7 tan(3x) dx ????⁄12
Using the property m(b - a) ≤ ∫[a,b] f(x) dx ≤ m(b - a), where m is the absolute minimum and M is the absolute maximum of f(x) on the interval [a, b], we can estimate the value of the integral ∫[a,b] 7 tan(3x) dx to be between 7(b - a)/12 and 7(b - a)/9.
Step 1: Understanding the Property
The property states that if a function f(x) is bounded by its absolute minimum (m) and maximum (M) on an interval [a, b], then the integral of f(x) over that interval is between m multiplied by the length of the interval (b - a) and M multiplied by the length of the interval.
Step 2: Applying the Property
In this case, the function f(x) is 7 tan(3x), and the interval is [a, b]. To estimate the value of the integral, we can use the property as follows:
m(b - a) ≤ ∫[a,b] f(x) dx ≤ M(b - a)
where m and M represent the absolute minimum and maximum values of f(x) on the interval [a, b].
Step 3: Estimating the Value
Since 7 tan(3x) is bounded between m and M, we can estimate the integral to be between m(b - a) and M(b - a). Therefore, the estimated value of the integral ∫[a,b] 7 tan(3x) dx is between 7(b - a)/12 and 7(b - a)/9.
To obtain a more precise estimation or the exact value, specific values of a, b, m, and M need to be known or further calculations need to be performed.
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Give four numbers calculate the arithmetic mean
Answer:
if four number are added together their sum is divided by four
Step-by-step explanation:
Consider the system t-Az+Bu with LI 5 21 4 I- 0 432 LJ and consider the following cost function: J = √ [2x₁(t)² + 3x₂(t)² + x3(t)² + u(t)²]dt. 0 What is the optimal (lowest possible) cost to go from the followin state: I(t) 8 Give your answer to three significant figures. H-
Previous question
Next question
The optimal cost to go from the initial state of I(t) = 8 in the given system with the provided cost function cannot be determined without additional information.
To find the optimal cost, we need to solve an optimal control problem, typically using techniques such as dynamic programming or optimal control theory. However, the given problem statement does not provide enough information for us to determine the optimal cost. We need to know the values of the matrices A, B, and the time horizon of the problem, as well as any constraints on the state and control variables.
Furthermore, the cost function given in the problem statement is a time integral of a quadratic form of the state and control variables. The optimal control problem involves minimizing this integral over the specified time horizon. Without knowing the specific values of the matrices A, B, the time horizon, and any constraints, it is not possible to calculate the optimal cost.
Therefore, without additional information, we cannot determine the optimal cost to go from the initial state I(t) = 8 using the given system and cost function.
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