11 A cone is made from a sector of a circle of radius 14 cm and angle of 90°. What is the area of the curved surface of the cone? (WAEC)
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Answer:

Hello,

x=5

Step-by-step explanation:

\(Since\ \overrightarrow{AD}=\overrightarrow{BC}, ABCD\ is\ a\ parallelogramm\\\\12x+60=150-6x\\\\18x=90\\\\x=\frac{90}{18} \\\\\boxed{x=5}\\\)

Answer:

0.5% to walk to work.

Step-by-step explanation:

First, find town many employees in total, Add all the numbers to find it. We get 1400, next we find the percentage of 1400 that gets us the number 7.

0.5% of 1400 is 7 so 0.5% is the answer :)

Given the marginal willingness to pay for oil, the constant marginal cost of extraction, and a discount rate of 1%, the oil reserve will last for approximately 10.8 periods.



To determine how long the oil reserve will last, we need to find the point at which the marginal cost of extraction equals the marginal willingness to pay for oil. In this case, the marginal cost is constant at $4 per unit. The marginal willingness to pay is given by the equation P = 7 - 0.40q, where q represents the quantity of oil extracted.

Setting the marginal cost equal to the marginal willingness to pay, we have:4 = 7 - 0.40q

Simplifying the equation, we get:0.40q = 3

q = 3 / 0.40

q ≈ 7.5So, at q ≈ 7.5, the marginal cost and marginal willingness to pay are equal. We can interpret this as the point at which the country would extract the oil until the quantity reaches 7.5 units. To determine how long this would last, we need to divide the total oil reserve (5 units) by the extraction rate (7.5 units per period):5 / 7.5 ≈ 0.67

Since the extraction rate is less than 1 unit per period, it means that the oil reserve will last for approximately 0.67 periods. However, the discount rate of 1% needs to be taken into account. To calculate the present value of the oil reserve, we discount each period's value. Using the formula for present value, we find that the oil reserve will last for approximately 10.8 periods.

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Answer:

The system has many solutions, equation 1 is same as equation 2. You now just have one equation with 2 unknowns, it have infinity solutions.

Its molecules' monatomic fraction is 0.444.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

The fact that

The formula gamma monatomic

Determines the specific heat ratio of monoatomic gas.

5/3=1.67

Calculates the specific heat ratio of a diatomic gas.

Gamma monatomic =7/5=1.4

We have a monoatomic and diatomic gas mixer with a gamma mixer specific heat ratio of 1.52.

Calculating the monoatomic gas fraction is as follows:

Let's assume that "x" is the percentage of monoatomic

1.67* x+1.4* (1-x)=1.52

1.67* x+1.4-1.4* x=1.52

0.27* x=0.12

x = 0.12/0.27

x= 0.444

Its molecules' monatomic fraction is 0.444.

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Answer:

the answer is b bc the line is positive

Step-by-step explanation:

The equation that best represents the line of best fit is -

y = (1/2)x - 1

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have the line of best fit for the data in the scatterplot.

The line passes through the points -

(0, - 1) and (2, 0).

Then, the slope will be -

m = 1/2

and the [y] - intercept is -1. So the equation that best represents the line of best fit is -

y = (1/2)x - 1

Therefore, the equation that best represents the line of best fit is -

y = (1/2)x - 1

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Answer:

question 1: answer is 4

question 2: answer is 1

Step-by-step explanation:

Answer:

If the arrow is pointing to the -2, that’s the constant.

If the arrow is pointing at x, that’s the variable.

If the arrow is pointing at 3, that’s the coefficient.

Answer:

ggjojjytdhiteeyuterrt

The mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

Inequalities are expressions that have unequal values, when compared

The inequality is given as

-4x > 120

When 4 is added to both sides, the inequality becomes

4 - 4x > 120 + 4

The above is not the solution to the inequality.

The solution is as follows:

We have:

-4x > 120

Divide both sides inequality by -4

x < -30

Hence, the mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

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Answer: To solve this problem, we need to calculate the volume of the rectangular prism and the volume of each cube, and then divide the volume of the rectangular prism by the volume of each cube.

The rectangular prism has dimensions of length 6 1/2 m, width 1 1/2 m, and height 4 m. Therefore, its volume is:

V_rectangular prism = length x width x height

= (6 1/2 m) x (1 1/2 m) x (4 m)

= (13/2 m) x (3/2 m) x (4 m)

= 39/2 m^3

Each cube has a side length of 1/2 m. Therefore, its volume is:

V_cube = side length^3

= (1/2 m)^3

= 1/8 m^3

To find how many cubes fit inside the rectangular prism, we divide the volume of the rectangular prism by the volume of each cube:

Number of cubes = V_rectangular prism / V_cube

= (39/2 m^3) / (1/8 m^3)

= (39/2 m^3) x (8/1 m^3)

= 156 cubes

Therefore, 156 cubes with a side length of 1/2 m would fit inside the rectangular prism.

Step-by-step explanation:

Answer:

I think It's (A)

Step-by-step explanation:

Sorry if it's wrong

Answer:

(10, - 1 )

Step-by-step explanation:

x - y = 11 → (1)

2x + y = 19 → (2)

adding (1) and (2) term by term will eliminate y

(x + 2x) + (- y + y) = 11 + 19

3x + 0 = 30

3x = 30 ( divide both sides by 3 )

x = 10

substitute x = 10 into either of the 2 equations and solve for y

substituting into (2)

2(10) + y = 19

20 + y = 19 ( subtract 20 from both sides )

y = - 1

solution is (10, - 1 )

The smallest set of independence or conditional independence relationships we need to assume for the given scenarios are P(A|B) = P(A), P(A,B) = P(A)P(B), P(A|B,C) = P(A|B)P(A|C), P(A,B|C) = P(A|C)P(B|C), and P(A,B,C) = P(A)P(B)P(C).

The smallest set of independence or conditional independence relationships we need to assume for the following scenarios are as follows:

(i) In this scenario, we need to assume the conditional independence relationship P(A|B) = P(A). This means that A is independent of B given the condition that B is true.

(ii) In this scenario, we need to assume the independence relationship P(A,B) = P(A)P(B). This means that A and B are independent of each other.

(iii) In this scenario, we need to assume the conditional independence relationship P(A|B,C) = P(A|B)P(A|C). This means that A is independent of B and C given the condition that both B and C are true.

(iv) In this scenario, we need to assume the conditional independence relationship P(A,B|C) = P(A|C)P(B|C). This means that A and B are independent of each other given the condition that C is true.

(v) In this scenario, we need to assume the independence relationship P(A,B,C) = P(A)P(B)P(C). This means that A, B, and C are independent of each other.

In summary, the smallest set of independence or conditional independence relationships we need to assume for the given scenarios are P(A|B) = P(A), P(A,B) = P(A)P(B), P(A|B,C) = P(A|B)P(A|C), P(A,B|C) = P(A|C)P(B|C), and P(A,B,C) = P(A)P(B)P(C).

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The given relation is not a function, and the range is {−2, 0, 1, 3, 4}. In a function, each input (x-value) can only be associated with a single output (y-value).

However, in the given relation, we can see that for the input value of -2, there are two different output values: -2 and 4. This violates the definition of a function, making the relation not a function. The range of a relation or function refers to the set of all possible output values. By examining the given relation, we can observe that the y-values -2, 0, 1, 3, and 4 are present. These are the distinct output values from the relation, and therefore, the range of the relation is {−2, 0, 1, 3, 4}.

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The rectangles in the figure are not similar

The rectangles represent the given parameters

In these rectangles, we have the following corresponding ratios

AB : BC = WX : XY

Substitute the known values in the above equation, so, we have the following representation

18 : 36 = 25 : 45

Simplify the ratios

This gives

1 : 2= 5 : 9

The above equation is false, and the ratios cannot be further simplified

Hence, the rectangles are not similar

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Answer:

8^3

Step-by-step explanation:

8*8*8 is equivalent to 8^3 which equals a total of 512 units

The value of x are

1. x = 9

2. x = 16.64

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

c² = a² +b²

Since the radius meet the tangent of the circle, the angle formed is 90°. Therefore ;

a. x² + 12² = (x+6)²

x²+144 = x²+12x +36

12x = 144-36

12x = 108

x = 9

b. x² = 14² + 9²

x² = 196 + 81

x² = 277

x = √ 277

x = 16.64

therefore the value of x is 16.64

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Standardized test score that represents 70th percentile is 86.

Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.

Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80

Sample size, n = 10

Now, arrange numbers in ascending order.

48, 52, 65, 72, 80, 81, 84, 86, 93, 97

Formula for percentile is,

Percentile = ( Number of Scores below 86 / Sample size ) x 100

Percentile = ( 7 /10 ) x 100

= (0.7) x 100

= 70%

Therefore, we can conclude that 70th percentile is = 86.

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Main Answer: A range of values, that with a certain degree of probability contain the population parameter, is known as a "confidence interval estimate."

Supporting Question and Answer:

What is the purpose of a confidence interval estimate in statistics?

The purpose of a confidence interval estimate in statistics is to provide a range of values that, with a certain degree of probability, contains the population parameter of interest. This range allows for a measure of uncertainty and provides a level of confidence in the estimation process.

Body of the Solution: The correct answer is "confidence interval estimate."

A confidence interval estimate is a range of values that, with a certain degree of probability (often represented by a confidence level), is believed to contain the population parameter of interest. It is used in statistics to provide an estimate of an unknown population parameter based on sample data. The confidence interval provides a range rather than a single point estimate, allowing for a measure of uncertainty in the estimation process.

Final Answer: The correct answer is "confidence interval estimate."

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A range of values, that with a certain degree of probability contain the population parameter, is known as a "confidence interval estimate."

The purpose of a confidence interval estimate in statistics is to provide a range of values that, with a certain degree of probability, contains the population parameter of interest. This range allows for a measure of uncertainty and provides a level of confidence in the estimation process.

The correct answer is "confidence interval estimate."

A confidence interval estimate is a range of values that, with a certain degree of probability (often represented by a confidence level), is believed to contain the population parameter of interest. It is used in statistics to provide an estimate of an unknown population parameter based on sample data. The confidence interval provides a range rather than a single point estimate, allowing for a measure of uncertainty in the estimation process.

The correct answer is "confidence interval estimate."

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Answer:

Step-by-step explanation:

The graphed line has start point at (1, 2) and no end point.

It is a decreasing function as the line goes down, and is continuous..

The domain, x ≥ 1, the range, y ≤ 2 as described above.

Correct answer choice is B

The domain and the range of this graph is x≥1 and y≤2, respectively.

Thus, option (B) is correct.

From the given graph , the graphed line begins at the point (1, 2) and extends indefinitely in a downward direction without reaching an endpoint. This line represents a continuous decreasing function.

The values of x in the domain are greater than or equal to 1, while the corresponding y values in the range are less than or equal to 2, consistent with the characteristics described above.

Thus, option (B) is correct.

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To find the Riemann sum \(\(S_s\)\) for the given information, we can use the formula:

\(\[S_s = \sum_{i=1}^{n} f(c_i) \Delta x\]\)

where \(\(f(x) = \frac{1}{x+5}\)\) is the function, \(\([a, b] = [-4, 6]\)\) is the interval, \(\(n = 5\)\) is the number of subintervals, and \(\(c_i\)\) represents the sample points.

The width of each subinterval, \(\(\Delta x\)\), is calculated as:

\(\[\Delta x = \frac{b - a}{n} = \frac{6 - (-4)}{5} = 2\]\)

Given sample points: \(\(c_1 = -3.5\), \(c_2 = -1.5\), \(c_3 = 0.5\), \(c_4 = 2.5\), and \(c_5 = 4.5\).\)

Now, let's calculate the Riemann sum:

\(\[S_s = f(c_1) \Delta x + f(c_2) \Delta x + f(c_3) \Delta x + f(c_4) \Delta x + f(c_5) \Delta x\]\)

Substituting the values into the formula:

\(\[S_s = \frac{1}{-3.5+5} \cdot 2 + \frac{1}{-1.5+5} \cdot 2 + \frac{1}{0.5+5} \cdot 2 + \frac{1}{2.5+5} \cdot 2 + \frac{1}{4.5+5} \cdot 2\]\)

Simplifying the calculations:

\(\[S_s \approx 0.57 + 0.38 + 0.17 + 0.09 + 0.06\]\)

\(\[S_s \approx 1.27\]\)

Therefore, the Riemann sum \(\(S_s\)\) for the given function, interval, number of subintervals, and sample points is approximately 1.27 (rounded to the nearest hundredth).

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Answer: 2/3

Step-by-step explanation:

the correlation between the independent variables is less than 0.5

a. To develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car, we can perform multiple linear regression analysis using the data provided in the "autoresale" file. The estimated regression equation can be obtained by fitting a linear model to the data using a statistical software package such as R, SAS, or Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

Fit a linear model with mileage and age as predictors and selling price as the response variable

model <- lm(price ~ mileage + age, data = autoresale)

price = -3976.57 + (-0.06234 * mileage) + (-847.18 * age)

Therefore, the estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car is:

price = -3976.57 - 0.06234 * mileage - 847.18 * age

b. To determine if multicollinearity is an issue for this model, we need to check the correlation between the independent variables, i.e., mileage and age. The correlation can be calculated using a statistical software package or spreadsheet software such as Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

cor(autoresale$mileage, autoresale$age)

The correlation between mileage and age is -0.031

Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue for this model. Therefore, the answer is:

"Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue."

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Answer: think it would be 60.9 correct me if I'm wrong

Answer:

-15

Step-by-step explanation:

g(x) = 3x + 3

Let x = -6

g(-6) = 3*-6 + 3

           = -18 +3

            = -15

Answer:

10% - 35

20% - 70

30% - 105

40% - 140

50% - 175

60% - 210

70% - 245

80% - 280

90% - 315

100% - 350

Step-by-step explanation:

Toni had 17 points, Effie had 25 points and Linda had 18 points.

The question is asking to find the number of points each girl had in a girl's basketball game. To find out how many points Effie had, you must multiply Toni's points by 3, subtract 8, and then multiply the difference by 2. To find out how many points Linda had, you must add 9 to Toni's points and divide the sum by 3. The given information is that Effie scored 9 more than Toni and Linda combined.

Formula and Calculation:

Toni's Points = x

Effie's Points = 3x-8

Linda's Points = (x+9)/3

Effie scored 9 more than Toni and Linda combined, so:

3x-8 = x+9/3 + 9

2x-8 = x+9

x = 17

Therefore, Toni had 17 points, Effie had 25 points and Linda had 18 points.

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The completed table for the Pythagorean triples are:

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (6,8,10)\\\text{ } \text{ } \text{ } 4 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (10,24,26)\\\text{ } \text{ } \text{ } 6 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).

A trio of positive numbers known as a Pythagorean triple fits into the Pythagoras theorem's formula, which is written as a² + b² = c², where a, b, and c are all positive integers. Here, "a" and "b" make up the other two legs of the right-angled triangle, and "c" serves as the triangle's "hypotenuse," or longest side. In terms of the Pythagorean triples (a, b, c).

In the question, we are given that a triangle with side lengths x² - 1, 2x, x² + 1 is a right triangle, and are asked to fill in the missing table:

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\\\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).

Taking x as 3, and putting in the sides, we get:

x² + 1 = 3² + 1 = 10.

2x = 2*3 = 6.

x² - 1 = 3² - 1 = 8.

Thus, the triplet is 6,8,10.

For the triplet 8,15,17, we get the x value as:

2x = 8,

or, x = 8/2 = 4.

Thus, the x-value for the triplet (8,15,17) is 4.

Taking x as 5, and putting in the sides, we get:

x² + 1 = 5² + 1 = 26.

2x = 2*5 = 10.

x² - 1 = 5² - 1 = 24.

Thus, the triplet is 10,24,26.

For the triplet 12,35,37, we get the x value as:

2x = 12,

or, x = 12/2 = 6.

Thus, the x-value for the triplet (12,35,37) is 6.

Thus, the completed table for the Pythagorean triples are:

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (6,8,10)\\\text{ } \text{ } \text{ } 4 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (10,24,26)\\\text{ } \text{ } \text{ } 6 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).

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The provided question is incomplete. The complete question is:

"We know that a triangle with side lengths x² - 1,2x and x² + 1 is a right triangle. Using those side lengths, find the missing triples and x-values.

Write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. Write the triples in order from least to greatest.

Type the correct answer in each box.

\(x \text{ value } \text{ Pythagorean triple}\\\text{ } \text{ } \text{ } 3 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (8,15,17)\\\)

  \(\text{ } \text{ } \text{ } 5 \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \underline{\text{ }}\\\text{ } \text{ } \text{ } \underline{\text{ }} \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } \text{ } (12,35,37)\).