Answer:
It would be 770 centimetres high.
Answer:770 centimeter
Step-by-step explanation:
1 meter=100 centimeter
7.7 meters= 7.7 x 100= 770 centimeter(by cross multiplying)
Suppose a multiple regression model is fitted into a variable called model. Which Python method below returns fitted values for a data set based on a multiple regression model? Select one.
model.values
fittedvalues.model
model.fittedvalues
values.model
The Python method "model.fittedvalues" returns fitted values for a data set based on a multiple regression model.
When fitting a multiple regression model in Python using a library like statsmodels or scikit-learn, the resulting model object provides various methods and attributes to access different information about the model. The "model.fittedvalues" method specifically returns the fitted values for the data set based on the multiple regression model.
These fitted values represent the predicted values of the dependent variable based on the independent variables in the model.
By calling "model.fittedvalues", you can obtain an array or series containing the predicted values corresponding to the data points used to fit the model.
This allows you to evaluate the model's performance, compare predicted values with actual values, and perform further analysis or calculations based on the fitted values.
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For the following exercises, sketch the curves below by eliminating the parameter t. Give the orientation of the curve. x = cos(t), y = sin(t), (0, 2π]
The exercise requires sketching curve defined by the parametric equation x = cos(t) and y = sin(t) values of t ranging from 0 to 2π.
The parametric equations x = cos(t) and y = sin(t) represent a circle of radius 1 centered at the origin. To eliminate the parameter t and obtain the Cartesian equation, we can use the trigonometric identity cos^2(t) + sin^2(t) = 1. Squaring both equations and adding them together, we get x^2 + y^2 = 1, which is the equation of a circle with radius 1. This implies that the curve traced by the parametric equations is a circle of radius 1.
For the given range of t from 0 to 2π, the curve starts at the point (1, 0) on the right side of the circle and moves counterclockwise along the circle until it reaches the starting point again. The orientation of the curve is counterclockwise due to the positive increment of t.
Thus, the sketch of the curve is a circle centered at the origin with a radius of 1, and it starts and ends at the point (1, 0) moving counterclockwise.
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Solve the linear programming problem using the simplex method. Maximize z=2x_(1)+9x_(2) subject to 5x_(1)+x_(2)<=30 9x_(1)+2x_(2)<=50 x_(1)+x_(2)<=40 x_(1),x_(2)>=0
Maximum value of Z = -57 when x1 = 6 and x2 = 19. To solve the linear programming problem using the simplex method, we first write it in standard form:
Maximize: Z = 2x1 + 9x2
Subject to:
5x1 + x2 + s1 = 30
9x1 + 2x2 + s2 = 50
x1 + x2 + s3 = 40
where s1, s2, and s3 are slack variables.
Now, we create the initial simplex tableau:
BV x1 x2 s1 s2 s3 RHS
s1 5 1 1 0 0 30
s2 9 2 0 1 0 50
s3 1 1 0 0 1 40
Z -2 -9 0 0 0 0
The values in the table correspond to the coefficients of the variables in the objective function and constraints. BV stands for basic variables, which are the variables corresponding to the columns with a coefficient of 0 in the Z row.
Next, we apply the simplex algorithm by selecting the most negative coefficient in the Z row (which is -9) and choosing the variable corresponding to that column (x2) as the entering variable.
To determine the leaving variable, we find the minimum ratio between the right-hand side (RHS) column and the column of the entering variable. The minimum ratio occurs when the entering variable corresponds to the row s2, so we divide the RHS of that row by the coefficient of x2: 50/2 = 25.
Thus, x2 will enter the basis and s2 will leave the basis. We update the tableau accordingly:
BV x1 x2 s1 s2 s3 RHS
s1 1/5 1 1/5 0 0 6
x2 9/2 1 0 1/2 0 25
s3 1/2 0 -1/2 0 1 15
Z -19/2 0 -9/2 0 0 -45
Next, we select the most negative coefficient in the Z row (which is -19/2) and choose the variable corresponding to that column (x1) as the entering variable.
To determine the leaving variable, we find the minimum ratio between the right-hand side (RHS) column and the column of the entering variable. The minimum ratio occurs when the entering variable corresponds to the row s1, so we divide the RHS of that row by the coefficient of x1: 6/(1/5) = 30.
Thus, x1 will enter the basis and s1 will leave the basis. We update the tableau accordingly:
BV x1 x2 s1 s2 s3 RHS
x1 1 1/5 0 -1/5 0 6
x2 0 3/5 0 17/5 0 19
s3 0 -1/10 1 1/10 1 9/2
Z 0 -19/10 0 -7/10 0 -57
We have now arrived at the optimal solution, with a maximum value of Z = -57 when x1 = 6 and x2 = 19.
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0.017 and 10, please retype the steps you use to set up the problem and type your steps to solve .
Answer:
0.17
Step-by-step explanation:
0.017 times 10 will equal to 0.17 as you will need to move the decimal point forward by one
a pole that is 3.3 m tall casts a shadow that is 1.18 m long at the same time a nearby tower casts a shadow that is 44.75 m long how tall is the tower? round your answer to the nearest meter
Answer:
1.58 *h=50.5 * 2.9
1.58 *h = 146.45
divide by 1.58
h=92.68987= 92.69
Step-by-step explanation:
The straight line y = x + 2 rotates 90 degrees clockwise about (0,0) and gets a new line L. The point P is a moving point on the line L. The coordinates of Q is (0,2) What’s the minimum value of PQ?
The minimum value of PQ is 2 units.
To find the minimum value of PQ, we need to determine the position of P that minimizes the distance between P and Q.
The line y = x + 2 represents the original line. To rotate this line 90 degrees clockwise about (0,0), we need to swap the x and y coordinates and negate the new x coordinates. The equation of the new line, L, becomes x = y + 2.
Since Q is given as (0,2), we can substitute these coordinates into the equation of line L:
x = y + 2
0 = 2 + 2
0 = 4
As the equation is not satisfied, the point (0,2) does not lie on line L.
However, we can still find the minimum value of PQ. The minimum value occurs when P is located on the line perpendicular to L and passing through Q. This perpendicular line has the equation x = -2.
Substituting this equation into the distance formula, we get:
PQ = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-2 - 0)^2 + (y - 2)^2)
= sqrt(4 + (y - 2)^2)
= sqrt(4 + y^2 - 4y + 4)
= sqrt(y^2 - 4y + 8)
To find the minimum value of PQ, we can complete the square:
PQ = sqrt((y - 2)^2 + 4)
= sqrt(y^2 - 4y + 4 + 4)
= sqrt(y^2 - 4y + 8)
The minimum value of PQ occurs when the expression inside the square root is minimized. The vertex of the parabola y^2 - 4y + 8 is given by the x-coordinate x = -(-4) / (2*1) = 2. Therefore, the minimum value of PQ is obtained when y = 2.
Substituting y = 2 into the expression for PQ, we get:
PQ = sqrt(2^2 - 4*2 + 8)
= sqrt(4 - 8 + 8)
= sqrt(4)
= 2
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whats the answer i dont know what it is cause i did not get to study
The shipping fee is given as follows:
C. $6.00.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.When the number of books increases by 5, the costs increase by $15, hence the slope m is given as follows:
m = 15/5
m = 3.
Hence:
y = 3x + b.
When x = 5, y = 21, hence the intercept b, representing the shipping fee, is obtained as follows:
21 = 3(5) + b
b = $6.00.
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the least squares regression line for a data set is yˆ=2.3−0.1x and the standard deviation of the residuals is 0.13. does a case with the values x = 4.1, y = 2.34 qualify as an outlier?
- Cannot be determined with the given information
- Yes
- No
Therefore, the correct option is "Cannot be determined with the given information." when the least squares regression line for a data set is y=2.3−0.1x and the standard deviation of the residuals is 0.13.
To determine if a case with the values x = 4.1, y = 2.34 qualifies as an outlier, we need to compare the observed value of y (2.34) with the predicted value of y based on the regression line (Y).
For this case, the predicted value of y (Y) can be calculated using the equation of the least squares regression line:
Y = 2.3 - 0.1x
Y = 2.3 - 0.1 * 4.1
Y = 2.3 - 0.41
Y = 1.89
Now, we can compare the observed value of y (2.34) with the predicted value of y (1.89). If the observed value significantly deviates from the predicted value, it can be considered an outlier.
In this case, the observed value (2.34) is greater than the predicted value (1.89), suggesting that it is above the regression line. However, without knowing the specific criteria or threshold for defining an outlier, it cannot be conclusively determined if this case qualifies as an outlier based solely on the information given.
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IF YOU ANSWER THESE TWO I'LL GIVE BRAINLIEST (if you only answer one no brainliest)
Answer:
The first question provided (question 11)
The answer is $118.00
The second question provided (question 12)
The answer is 20 seconds
Step-by-step explanation:
The first question provided (question 11)
The equation 5a + 3c is provided to determine the cost of a catering event, where a is the number of adults and c is the number of children.
It is stated that there are 17 adults and 11 children attending an event.
You can substitute in the 17 adults in place of a and the 11 children in place of c.
This will leave you with 5(17) + 3(11).
If you simplify you will get 85 + 33, which is equal to 118
Therefore, the answer is $118.00.
The second question provided (question 12)
The equation s = 5w is provided to determine how far behind a clock is after a certain amount of time, where s is seconds behind and w is the number of weeks sice the clock was last set.
You are given the clock was set 4 weeks ago.
You can subsitute the 4 weeks into the equation in place of variable w.
This leaves you with s = 5(4).
Simplifying this further, you will get s = 20.
Therefore, the clock is 20 seconds behind.
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; t que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche, 1kg de jamon serrano y 3 litros de aceite de oliva
Answer:
1 litro de leche cuesta 2.5
1 kg de jamón serrano cuesta 35
1 litro de aceite de oliva cuesta 7,5
Step-by-step explanation:
Pregunta correcta completa
Un cliente de un supermercado ha pagado un total de 240 por 16 litros de leche,4kg de hamon serrano y 8 litros de aceite de oliva. Sabiendo que 1 litro de aceite cuesta el tripe de 1 litro de leche; que 1kg de jamon cuesta igual que el cliente tendria que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva. Calcule el precio de cada artículo.
Solución
Deje que el precio de un litro de leche, un kilogramo de jamón serrano y un litro de aceite de oliva sea x, y y z respectivamente.
16 litros de leche, 4 kg de hamon serrano y 8 litros de aceite de oliva cuestan 240
16x + 4y + 8z = 240 (ecuación 1)
1 litro de aceite cuesta el triple de 1 litro de leche
z = 3x (ecuación 2)
Y ese 1 kg de jamón cuesta lo mismo que el cliente tendría que pagar si hubiera comprado 5 litros de leche y 3 litros de aceite de oliva.
y = 5x + 3z (ecuación 3)
Sustituyendo las ecuaciones 2 y 3 en la ecuación 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recordemos que z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
English Translation
A supermarket customer has paid a total of 240 for 16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil. Knowing that 1 liter of oil costs the tripe of 1 liter of milk; t that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil. Calculate the price of each item.
Solution
Let the price of a liter of milk, a kilogram of Serrano ham and a liter of olive oil be x, y and z respectively.
16 liters of milk, 4kg of hamon serrano and 8 liters of olive oil cost 240
16x + 4y + 8z = 240 (eqn 1)
1 liter of oil costs the triple of 1 liter of milk
z = 3x (eqn 2)
And that 1kg of ham costs the same as the customer would have to pay if he had bought 5 liters of milk and 3 liters of olive oil
y = 5x + 3z (eqn 3)
Substituting eqn 2 and 3 into eqn 1
16x + 4(5x + 3z) + 8(3x) = 240
16x + 20x + 12z + 24x = 240
Recall that z = 3x
36x + 12(3x) + 24x = 240
36x + 36x + 24x = 240
96x = 240
x = (240/96) = 2.5
z = 3x = 3 × 2.5 = 7.5
y = 5x + 3z = (5×2.5) + (3×7.5) = 35
1 liter of milk costs 2.5
1 kg of Serrano ham costs 35
1 liter of olive oil costs 7.5
Hope this Helps!!!
A manager uses the following linear trend equation to predict monthly receipts: \( Y_{t}=3,700+300 t \). What is the forecast for October of this year if \( \mathrm{t}=0 \) was July of this year?
The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year.
To forecast the receipt for October, we need to find the value of Y when t=3 (since t=0 corresponds to July, August would be t=1, September would be t=2, and October would be t=3).Therefore, we can substitute t=3 in the equation above to get: $$Y_{3}=3,700+300(3)$$$$Y_{3}=3,700+900$$$$Y_{3}=4,600$$
Therefore, the forecast for October of this year is $4,600. The linear trend equation to predict monthly receipts is given by: $$Y_{t}=3,700+300t$$ where Y is the predicted monthly receipt and t is the time period in months where t=0 is July this year. The answer to the given question is: The forecast for October of this year is $4,600.
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There are 6 athletes at a track meet. How many different ways can they finish first or second?
Stefan sells Jin a bicycle for $151 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
a)$235.20
b) $67.20
Step-by-step explanation:
Stefan sells Jin a bicycle for $151 and a helmet for $17.
a) How much did Stefan spend originally?
Total cost for Jin = $151 + $17
= $168
The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet.
Hence,
140% of $168 = $235.20
b) How much money did he make by selling the bicycle and helmet to Jin?
This is calculated as:
$235.20 - $168
= $67.20
=
4+2/3x=2/5 how do I solve this equation
Given:
The given equation is 4+2/3x=2/5.
The objective is to solve for x.
\(undefined\)at the school festival , raffle tickets were sold at $1 each, or 3 for $2. At the end of the day, 15 books of tickets, each containing 20 tickets, were sold. the money collected from the sale was $236. How many tickets were sold at 3 for $2?
Answer:
you have to take away you word they said how many
Chef Daniel had 431 ounces of chocolate frosting in his refrigerator. It takes 8 ounces of frosting to frost one cupcake. How many cupcakes can he frost
Answer:
53 cupcakes
Step-by-step explanation:
Take the amount of frosting and divide by the amount needed per cupcake
431/8
53.875
We round down since we cannot frost part of a cupcake
53 cupcakes
Answer:
53 cupcakes
Step-by-step explanation:
He has a total of 431 ounces and each cupcake needs 8 ounces of frosting. Therefore can divide the total amount of frosting (431 ounces) by the amount per cupcake (8 ounces)
total amount/ amount per cupcake
431 ounces/8 ounces
431/8
53.875
0.875, or a fraction/part of a cupcake can’t be frosted, so we should round down to the nearest whole number.
53
He can frost 53 cupcakes.
please help I don't get it
2. Using proportion, the value of x = 38, the length of FC = 36 in.
3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.
What is the Angle Bisector Theorem?The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.
2. The proportion we would set up to find x is:
(x - 2) / 4 = 27 / 3
Solve for x:
3 * (x - 2) = 4 * 27
3x - 6 = 108
3x = 108 + 6
Simplifying:
3x = 114
x = 114 / 3
x = 38
Length of FC = x - 2 = 38 - 2
FC = 36 in.
3. The proportion we would set up to find x based on the angle bisector theorem is:
13 / 3x = 7 / (2x - 5)
Cross multiply:
13 * (2x - 5) = 7 * 3x
26x - 65 = 21x
26x - 21x - 65 = 0
5x - 65 = 0
5x = 65
x = 65 / 5
x = 13
Length of CD = 3x = 3(13)
CD = 39 cm
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Please help, thanks. Simplify the radical
Answer:
The top one i believe
Step-by-step explanation:
In history class, Maria has nine tests. Her final grade in the class will be the median of her test scores. Each test is scored out of $100.$ Maria's first six test scores are $79,$ $84,$ $86,$ $92,$ $93,$ and $97.$ What is the highest possible final grade in the class she can still earn
Answer:
93
Step-by-step explanation:
Given the data:
$79,$ $84,$ $86,$ $92,$ $93,$ and $97
79, 84, 86, 92, 93, 97
Highest possible score obtainable in a test = 100
Hence to calculate the highest possible score she could still attain;
We assume she obtained a score of 100 in all remaining 3 tests
Then the data becomes :
79, 84, 86, 92, 93, 97, 100, 100, 100
Median of the dataset:
Q2 = 1/2(n + 1)th term
n = sample size = 9
Q2 = 1/2(9 + 1)th term
Q2 = 1/2(10)th term
Q2 = 5th term
Q2 = 93
Q3. How would you test a trading rule to determine if it
generates a statistically and economically significant alpha?
To test a trading rule for statistically and economically significant alpha, follow these steps: gather data, formulate a hypothesis, measure performance, conduct statistical tests, assess economic significance, and perform robustness testing.
To determine if a trading rule generates a statistically and economically significant alpha, several steps can be followed. Alpha refers to the excess return generated by a trading strategy beyond what would be expected from market movements. Here's a summary of the testing process:
To test a trading rule's alpha, you can follow these steps:
1. Data Preparation: Gather historical price data for the assets being traded and any relevant market indices. Ensure the data is clean, consistent, and properly adjusted for dividends and corporate actions.
2. Hypothesis Formulation: Clearly define the trading rule being tested, specifying the entry and exit criteria. Formulate a null hypothesis assuming no alpha exists and an alternative hypothesis suggesting the presence of statistically and economically significant alpha.
3. Performance Measurement: Apply the trading rule to the historical price data and calculate the strategy's performance metrics, including returns, volatility, and risk-adjusted measures like the Sharpe ratio or information ratio.
4. Statistical Significance: Conduct hypothesis testing using appropriate statistical methods such as t-tests or regression analysis to determine if the strategy's excess returns are statistically significant. This helps assess whether the alpha is due to skill or randomness.
5. Economic Significance: Evaluate the economic significance of the alpha by considering transaction costs, liquidity constraints, and realistic trading scenarios. Adjust the returns for these factors to assess if the strategy generates meaningful profits after accounting for expenses.
6. Robustness Testing: Perform sensitivity analysis by varying key parameters of the trading rule and assessing the stability and consistency of the alpha. This helps determine if the strategy's performance is robust across different market conditions and time periods.
By following these steps, you can systematically evaluate a trading rule's alpha generation potential. Remember, it's important to consider statistical significance, economic significance, and robustness to draw meaningful conclusions about a trading strategy's effectiveness.
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Leah has an account balance of –150 dollars. Which of the following represents a debt greater than –150 dollars?
Answer:
-175
Step-by-step explanation:
bc its farther than -150 from the 0
Round 51.478 to nearest tenth
Hello there!
The answer is
51.5
I hope it helps you! :)
Your friend, \(GraceRosalia\)
Please mark Brainliest! I would really appreciate it! :)
Do these sides make a triangle ?
Yes or no
1) 7cm , 11cm , 14cm
2) 10cm , 8cm , 2cm
Answer:
yesnoStep-by-step explanation:
For three side lengths to form a triangle, the sum of the shorter two must exceed the longest.
__
1)7 + 11 = 18 > 14 . . . . Will make a triangle.
__
2)2 + 8 = 10 . . . not greater than 10. Will not make a triangle.
__
This is a direct consequence of the triangle inequality, which requires for sides a, b, c that ...
a +b > c and b +c > a and c +a > b
_____
Additional comment
There is a version of the triangle inequality that uses the ≥ comparison, rather than >. If that is the version of the inequality you are using, then both these sets of lengths will form a triangle. The second "triangle" will look like a line segment and have zero area.
For the following primal model shown, obtain the corresponding dual model. Min Z 10x₁9x2 + 8x3 = S.T.: 11x₁ + 12x₂ = 55 21x₁ +22x₂23x3 ≤ 80 31x₁33x3 ≤ 57 X₁ ≤ 0, X₂ ≥ 0, X3 = IR
a) Correctly determine the dual objective function. (2 points) b) Correctly determine the dual constraints. (5 points)
c) Correctly determine the nature restrictions of the dual variables.
The dual model for the given primal model is, Maximize W = 55y₁ + 80y₂ + 57y₃ and Subject to 11y₁ + 21y₂ + 31y₃ ≥ 10 and 12y₁ + 22y₂ + 33y₃ ≥ 9, with the nature restrictions: y₁ ≥ 0, y₂ unrestricted, y₃ unrestricted.
To obtain the corresponding dual model for the given primal model
The primal model is:
Minimize Z = 10x₁ + 9x₂ + 8x₃
Subject to:
11x₁ + 12x₂ = 55
21x₁ + 22x₂ + 23x₃ ≤ 80
31x₁ + 33x₃ ≤ 57
x₁ ≤ 0, x₂ ≥ 0, x₃ is unrestricted
a) The dual objective function is obtained by taking the coefficients of the primal model's constraints as the variables in the dual model's objective function. Thus, the dual objective function is:
Maximize W = 55y₁ + 80y₂ + 57y₃
where y₁, y₂, and y₃ are the dual variables corresponding to the primal constraints.
b) The dual constraints are obtained by taking the coefficients of the primal model's variables as the variables in the dual model's constraints. The primal inequalities become the dual equalities and vice versa. Additionally, the sign restrictions of the primal variables become sign restrictions for the dual variables. Thus, the dual constraints are:
11y₁ + 21y₂ + 31y₃ ≥ 10
12y₁ + 22y₂ + 33y₃ ≥ 9
where y₁, y₂, and y₃ are the dual variables corresponding to the primal variables.
c) Nature restrictions of the dual variables:
Since x₁ ≤ 0 in the primal model, the corresponding dual variable y₁ has the restriction y₁ ≥ 0 (non-negativity).
Since x₂ ≥ 0 in the primal model, the corresponding dual variable y₂ has no specific restriction.
Since x₃ is unrestricted in the primal model, the corresponding dual variable y₃ is also unrestricted.
Therefore, the complete dual model is:
Maximize W = 55y₁ + 80y₂ + 57y₃
Subject to:
11y₁ + 21y₂ + 31y₃ ≥ 10
12y₁ + 22y₂ + 33y₃ ≥ 9
y₁ ≥ 0, y₂ is unrestricted, y₃ is unrestricted
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Harry invests some money in low-risk and high risk investments in the ratio 7:3. he invests £1800 into the high risk investments. how much money does he invest altogether?
Answer: £2571.43
Step-by-step explanation:Total ratio=7+3=10
If 7 = £1800 then 10 =10÷7*£1800 =£2571.43
3x = -1/2 I don’t know the answer
Answer: X = -1/6
Step-by-step explanation:
So what we know is that 3 times something will equal negative one half. Tog get to that number, we divide the 3x by 3 to get x and the same on the other side so 3 divided by -1/2 is 1/6.
odd number have more than exactly by 2 true or false
What’s the median of this set of data 71,37,22,81,65,54,52,41,48,71
Answer:
I'm glad you asked!
Step-by-step explanation:
Step 1:Order the numbers from least to greatest.
\(22,37,41,48,52,54,65,71,71,81\)
Step 2:Now find the middle number.
\(22,37,41,48\),52,54\(,65,71,71,81\)
Step 3:Since there are two numbers,we add them together then divide by 2.
\(52+54 =106\)
\(106/2=53\)
The median is 53.
Answer:
53
Step-by-step explanation:
What is 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Answer:
x=17
Step-by-step explanation:
-15x-10-x-3= -16x+20+13
-5x-x+4+13
x=17
An arc is 70. 7 meters long and is intercepted by a central angle 5pi/4 radians. Find the diameter of the circle
The diameter of the circle is approximately 45 meters.
The length of an arc is given by the formula:
length = radius * angle
Given that the length of the arc is 70.7 meters and the central angle is 5π/4 radians, we can solve for the radius of the circle:
70.7 = radius * (5π/4)
Simplifying the equation, we have:
radius = (70.7 * 4) / (5π)
To find the diameter, we multiply the radius by 2:
diameter = 2 * radius = 2 * [(70.7 * 4) / (5π)]
Calculating the value, we get approximately 45 meters as the diameter of the circle.
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