find the measure of arc ce please

Survey result;

a. Number of friends who like both football and cricket:

Denoted as |F ∩ C|

b. Number of friends who do not like either football or cricket:

Denoted as |(F ∪ C)'|

c. Number of friends who like only one game:

Denoted as |(F ∪ C) \ (F ∩ C)|

Let's denote the set of friends who like football as F, and the set of friends who like cricket as C.

Based on the survey data, the results for the given categories can be tabulated as follows:

a. Number of friends who like both football and cricket: This can be determined by finding the intersection of the sets representing football and cricket preferences. Count the individuals who indicated they enjoy both games.

b. Number of friends who do not like either football or cricket: This can be determined by finding the complement of the union of the sets representing football and cricket preferences. Count the individuals who indicated they do not have a preference for either game.

c. Number of friends who like only one game: This can be determined by finding the difference between the sets representing football and cricket preferences. Count the individuals who indicated they have a preference for either football or cricket but not both.

By collecting the data from the survey, count the number of friends falling into each category and tabulate the results based on the above cardinality relations.

 Complete question should be In a survey conducted in a locality, data was collected about the preferences of friends regarding football, cricket, and both games. The results are as follows:

a. Determine the number of friends who like both football and cricket.

b. Calculate the number of friends who do not like either football or cricket.

c. Find the number of friends who like only one game.

Using the cardinality relation of two sets, tabulate the results for the given categories.

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Range = 74.8

IQR = 16.8

Median = 63.95.

To calculate the range, we subtract the smallest value from the largest value:

Range = 88.9 - 14.1 = 74.8

To calculate the median, we find the middle value of the data set. Since there are 40 numbers in the set, the median is the average of the 20th and 21st numbers:

Median = (63.0 + 64.3)/2 = 63.65

To calculate the IQR, we first need to find the first quartile (Q1) and the third quartile (Q3). Q1 is the median of the first half of the data set, and Q3 is the median of the second half of the data set. Since there are an even number of data points, we need to include the median in both halves. Thus, Q1 is the median of the first 20 numbers, and Q3 is the median of the last 20 numbers:

Q1 = (54.2 + 54.7)/2 = 54.45

Q3 = (75.3 + 75.9)/2 = 75.6

IQR = Q3 - Q1 = 75.6 - 54.45 = 21.15

Therefore, the range is 74.8, the median is 63.65, and the IQR is 21.15.

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The coefficient of determination (r-squared) provides an indication of how well the regression model fits the data and the value of r is  0.3574

In this example, the r-squared value is 12.78%, which means that 12.78% of the variation in verbal SAT scores can be explained by the variation in math SAT scores. The least squares regression equation is yhat = 383.3 + 0.3489x, where yhat is the predicted verbal score and x is the math score.

The coefficient of correlation (r) provides a measure of the strength of the linear relationship between two variables. In this example, the coefficient of correlation (r) can be calculated from the coefficient of determination (r-squared) as follows: r = √r-squared = √12.78% = 0.3574. This indicates that there is a weak linear relationship between verbal and math SAT scores.

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Answer:

Step-by-step explanation:

the other angle is 38 as well

Answer:

414.857143

Step-by-step explanation:

r=66

=2*66*22/7

=414.857143

Answer:

5(3)^(n-1)

a*b^n

5 is the second value (n-1), so a=5

the amount triples (*3) every minute, so b=3

D, or an = 5(3)^n-1, is correct!

Let’s break this down...

5 is the number of files that we have in the first minute. The 3 triples the 5. Since there is an exponent, the growth is exponential and will always triple the product before it.

Hope this helps :)

Answer:

9 because fish cant drown but if its math problem then 6

Step-by-step explanation:

Answer: 2/189

Step-by-step explanation:

Given a rectangular peice of paper

Length = 34 cm

Width = 16 cm

So, the area of the rectangle = 34 x 16 = 544 cm²

Two semicircles cut out of it

The diameter of the circle = d = 16 cm

So, the radius of the circle = r = d/2 = 8 cm

The area of the two semicircles = area of the complete circle

so, the area of the circle = πr² = 3.14 x 8² = 200.96 cm²

So, the area of the remaining paper = area of the rectangle - area of the circle

= 544 - 200.96 = 343.04 cm²

So, the answer will be Area = 343.04 cm²

Jamal will make $680 in a week if he sells $6000 and earns an 8% commission on his sales amount.

To calculate Jamal's earnings in a week, we need to determine his commission based on his sales amount and add it to his base pay.

Base pay: $200

Commission rate: 8%

Sales amount: $6000

First, let's calculate Jamal's commission:

\(Commission = Commission $ rate \times Sales $ amount\)

Commission = 8% of $6000

\(Commission = 0.08 \times $6000\)

Commission = $480.

Next, we add the commission to Jamal's base pay to find his total earnings:

Total earnings = Base pay + Commission

Total earnings = $200 + $480

Total earnings = $680.

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Answer:

A.3

Step-by-step explanation:

21-6×3=21-18

=3 is the value of the expression 21-6×3

Answer:

d. 45

Step-by-step explanation:

21-6=15

15 x 3= 45

Hope this helps! Plz give brainliest!

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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Answer:

1.28

Step-by-step explanation:

x = 1.28

(a) The given differential equation is dx/dt = 0.005(10-x) with x(0) = 0.

Solving the differential equation, we get:

dx/(10-x) = 0.005 dt

Integrating both sides, we get:

-ln(10-x) = 0.005t + C

Applying initial condition x(0) = 0, we get C = ln(10)

Thus, we have:

-ln(10-x) = 0.005t + ln(10)

ln[(10-x)/10] = -0.005t

(10-x)/10 = e^(-0.005t)

x(t) = 10(1-e^(-0.005t))

Therefore, x(t) = 10(1-e^(-0.005t))

(b) We need to find the time t such that x(t) = 0.9*10 = 9 billion dollars.

Substituting x(t) = 9 in the equation, we get:

9/10 = 1-e^(-0.005t)

e^(-0.005t) = 0.1

Taking natural logarithm on both sides, we get:

-0.005t = ln(0.1)

t = -ln(0.1)/0.005 = 138.63 days ≈ 139 days (rounded to the nearest day)

Therefore, it will take approximately 139 days for the new bills to account for 90% of the currency in circulation.

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The given system of linear equations can be solved using the augmented matrix method. By performing row operations, we find that the solution to the system is x = 1 and y = -1.

To solve the system of linear equations using the augmented matrix method, we first represent the given equations in matrix form. The augmented matrix for the system is:

[1 -4 | -2]

[-2 1 | -3]

We can use row operations to transform this matrix into row-echelon form. Adding twice the first row to the second row, we get:

[1 -4 | -2]

[0 -7 | -7]

Next, we divide the second row by -7 to obtain:

[1 -4 | -2]

[0 1 | 1]

From this row-echelon form, we can see that y = 1. Substituting this value into the first equation, we have:

x - 4(1) = -2

x - 4 = -2

x = 2

Therefore, the solution to the system of equations is x = 2 and y = 1.

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C. (–2, –1), x = –2

P'(0, –1), Q'(–3, 2)

The axis of symmetry of a parabola is a vertical line that divides the parabola into two equal halves, so that if any point on one half of the parabola is reflected over the axis of symmetry, it will fall on the other half of the parabola. The axis of symmetry is a line that is equidistant from the vertex of the parabola and the focus.

In this case, the axis of symmetry is given as x = –2, which means that the line x = –2 is the axis of symmetry.

The vertex of a parabola is the point on the parabola that is closest to the focus, or the point that is equidistant from the focus and the directrix. In this case, the vertex is given as (–2, –1), which is the point on the parabola that is closest to the focus and is equidistant from the focus and the directrix.

Points P' and Q' correspond to two different points on the parabola. P' is given as (0, –1) and Q' is given as (–3, 2). These are simply two points on the parabola, and they can be used to describe the shape of the parabola or to graph the parabola.

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The standard deviation for the given data set is approximately 3.2161. To describe the observation of time, the best way is to consider it as an interval variable.


The standard deviation is a measure of the dispersion or variability in a dataset. In this case, the stem-and-leaf plot provides the data points: 1, 9, 2, 1, 3, 5, 6, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 2, 2, 8, 3, 1. To calculate the standard deviation, we find the mean of these values (which is 5.7) and then calculate the squared differences from the mean for each value. The sum of these squared differences is divided by the total number of values, and the square root is taken to obtain the standard deviation of approximately 3.2161.

Regarding the variable type for time, it is best described as an interval variable. Time can be measured on a continuous scale with equal intervals between units (e.g., seconds, minutes, hours, etc.). However, it lacks a true zero point, as negative time (e.g., BC years) is possible. This characteristic excludes it from being a ratio variable. It is not nominal or ordinal either, as time does not involve categories or ordered ranks.

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there are only 3  tangent lines can be drawn that touch both circles

ok done. Thank to me :>

The parameters of an econometric model refer to the explanatory variables included in the model.

These variables are chosen based on theoretical considerations and are believed to have a relationship with the variable being studied. The parameters represent the strength and direction of the relationship between the variable under study and the factors affecting it. They quantify the impact of these factors on the variable and help in making predictions using the model.

In econometric modeling, the parameters represent the coefficients or constants in the mathematical equation that relates the dependent variable (the variable being studied) to the explanatory variables. These parameters determine the functional form of the relationship and quantify the strength and direction of the relationship between the dependent variable and the explanatory variables.

The explanatory variables, also known as independent variables or regressors, are the factors that are hypothesized to influence or explain the variation in the dependent variable. These variables are selected based on theoretical knowledge, economic reasoning, or empirical evidence. They can be observed or measurable factors such as income, price, demographics, or any other relevant variables that are believed to have a relationship with the dependent variable.

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Step-by-step explanation:

#5

(f+g) (x) = x³-2x²+1 + 4x³-5x+7

= 5x³-2x²-5x+8 (option D)

The solution for theta in the equation cos2theta = -1 in the range [0, 2π) is Ф = π/2

Solving for theta in the equation

Given the equation

cos2theta = -1

Express properly

cos(2Ф) = -1

Take the arc cos of both sides

So, we have

2Ф = π

Divide both sides by 2

Ф = π/2

Hence, the value of theta in the range is π/2

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The graph has y-intercept (0,5) and increases with a constant ratio of 3.

A function in mathematics is a connection between a set of inputs (sometimes referred to as the domain) and a set of outputs (also referred to as the range). Each input value is given a different output value.

The y-intercept lies at (0, 5) because the value of the function at x=0 is 530 = 5. The 'constant ratio' is 3, meaning that any increment of 1 in x causes the function value to grow by a factor of 3. (That serves as the exponential term's foundation.)

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Missing parts;

Which of the following statements is true for a function with equation f(x) = 5(3)*?

The graph has y-intercept (0,5) and increases with a constant ratio of 3.

The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.

The graph has y-intercept (0, 3) and increases with a constant ratio of 5.

The graph has y-intercept (0,5) and decreases with a constant ratio of 3.

Answer:

(-4,-3)

Step-by-step explanation:

Just check each vertex point and move them by instruction, write them down and do elimination and you'll find the answer

945 divided by 9 = 105.

What is divided?

In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, ",÷" or occasionally "/," is used in computer code.

If the sum of the digits is not divisible by 9, then 945 is not divisible by 9.

The sum of the digits is calculated as follows:

9 + 4 + 5 = 18

18 is divisible by 9

\(\frac{945}{9}$$\)

Write the problem in long division format

\(9 \longdiv { 9 4 5 }\)

Divide 9 by 9 to get 1

\($$\begin{gathered}91 \\\frac{1}{945} \\\frac{9}{04}\end{gathered}$$\)

Divide 4 by 9 to get 0

\($$\begin{gathered}910 \\\frac{10}{945} \\\frac{0}{45}\end{gathered}$$\)

Divide 45 by 9 to get 5

\($$\begin{gathered}9105 \\\frac{9}{045} \\\underline{4} \\\frac{45}{0}\end{gathered}$$\)

The solution for Long Division of \($\frac{945}{9}$\) is 105

105

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Answer:

4 platters

Step-by-step explanation:

The answer for the fraction 1/4 of 100 is 25.

Given,

The fraction; 1/4

We have to find the 1/4 of 100.

Fraction;

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions

Here,

1/4 of 100 = 1/4 x 100 = 25.

That is,

The answer for the fraction 1/4 of 100 is 25.

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The directions in which the directional derivative of f(x, y) = \(\rm ye^{(-xy)\) at the point (0, 2) has a value of 1 lie on the line -2u₁+ u₂ = 1 in the u₁-u₂.

To find the maximum rate of change of the function f(s, t) = \(te^{(st)}\) at the point (0, 4), we need to compute the gradient of the function and evaluate it at that point. The gradient vector will give us both the maximum rate of change and the direction in which it occurs.

First, let's compute the gradient of f(s, t):

∇f(s, t) = (∂f/∂s, ∂f/∂t)

To find ∂f/∂s, we differentiate f(s, t) with respect to s while treating t as a constant:

∂f/∂s = t * \(e^{(st)} + t * se^{(st)} = te^{(st)(1 + \\s)\)

To find ∂f/∂t, we differentiate f(s, t) with respect to t while treating s as a constant:

∂f/∂t = \(e^{(st)} + ste^{(st)} = e^{(st)(1 + st)\)

Now, let's evaluate the gradient at the point (0, 4):

∇f(0, 4) = \((0 * e^{(0 * 4)(1 + 0)}, e^{(0 * 4)(1 + 0 * 4))}\)

= (0, 1)

Therefore, the gradient at the point (0, 4) is (0, 1). The maximum rate of change occurs in the direction of this gradient vector, which is (0, 1).

Now, let's find the directions in which the directional derivative of the function f(x, y) =  at the point (0, 2) has a value of 1. The directional derivative of f(x, y) in the direction of a unit vector u = (u1, u2) is given by the dot product of the gradient of f with the unit vector:

\(\rm D_u\)(f) = ∇f(x, y) · u

We want to find the directions in which \(\rm D_u\)(f) = 1. Let's compute the gradient of f(x, y):

∇f(x, y) = (∂f/∂x, ∂f/∂y)

To find ∂f/∂x, we differentiate f(x, y) with respect to x while treating y as a constant:

∂f/∂x =

To find ∂f/∂y, we differentiate f(x, y) with respect to y while treating x as a constant:

∂f/∂y = \(\rm e^{(-xy)} - xye^{(-xy)}\)

Now, let's find the directions in which the directional derivative is 1 at the point (0, 2). Using the dot product definition, we have:

\(\rm D_u\)(f) = ∇f(0, 2) · u = (-2e², 1 - 0) · u = (-2, 1) · u = -2u1 + u2

We want \(\rm D_u\)(f) = 1, so -2u₁ + u₂ = 1.

This equation represents a line in the u1-u2 plane. Any unit vector u = (u1, u2) lying on this line will satisfy the condition \(\rm D_u\)(f) = 1 for the given function and point.

Hence, the directions in which the directional derivative of f(x, y) = \(\rm ye^{(-xy)\) at the point (0, 2) has a value of 1 lie on the line -2u₁+ u₂ = 1 in the u₁-u₂.

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The transition to -24 degrees will take three hours .The balance between energy coming into and going out of the planet's system determines its temperature.

Explanation:

-8% / -24 = 3.

The transition to -24 degrees will take three hours.

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To prove that both triangles are similar by SAS similarity theorem, the additional information that must be known is: the lengths of DF and JK.

The SAS similarity theorem states that two triangles can be proven to be similar to each other if they both have two pairs of corresponding sides that are proportional to each other and a pair of corresponding included angles that are congruent to each other.

We are only given a pair of corresponding side lengths and a pair of congruent angles. To prove that they are similar by the SAS similarity theorem, the additional information needed would be: The lengths of DF and JK.

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Answer:

900+ hours

Step-by-step explanation: