Christine bought 9m ribbon lace for her school project. One yard of the lace cost P5.00
How much did Christine pay in all?​

The upper quartile, Q3, of the given data set, is 54.

The upper quartile, Q3, is a measure of central tendency that represents the 75th percentile of a given dataset. It divides the data into two halves, with the upper half representing the range of values from Q3 to the maximum value. In order to find the upper quartile, we first need to arrange the data set in ascending order: 18, 23, 27, 30, 31, 35, 38, 42, 46, 49, 53, 54, 57, 61, 66.

Next, we need to determine the position of Q3 in the dataset. Since there are 15 data points in the set, Q3 will be located at the 75th percentile or 11.25th data point. To find the exact value of Q3, we can use the following formula:

Q3 = (0.75 * (n + 1)th term) + (0.25 * (n)th term)

where n is the number of data points in the set. Substituting the values, we get:

Q3 = (0.75 * 16th term) + (0.25 * 15th term)
Q3 = (0.75 * 12) + (0.25 * 11)
Q3 = 9 + 2.75
Q3 = 11.75

Therefore, the upper quartile, Q3, of the given data set is 54.

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Answer:

6. composite figure

7. 60+432=492

answer: x = - 1

x = 11

The required number of teaspoon to make one gallon of orange juice.

One gallon of water contain 128 ounces of water.

So, we have given that we need 2 teaspoon of the concentrate powder in 16 ounces of water to make orange juice.

So, number of teaspoon required to make one gallon of juice

16 ounces need = 2 spoon

then, 128 ounces need =(128) ×2/16 = 16 teaspoon required

Number of teaspoon need to make one gallon of water is 16.

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The secondary use of data from the 2000 census classification system to identify disparities in mental healthcare.

The 2000 Census classification system helps our communities choose where to build everything from homes to hospitals to schools and shops. It also reveals who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.

The government-wide 2000 Standard Occupation Classification (SOC) system served as the foundation for the 2000 Census classification system, while the 1980 SOC was used for the 1990 Census.

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Answer:

(1,-1)

Step-by-step explanation:

Substituting the given point into the equation

\(-5/6x=y+1/6\\-5/6(1) = -1 + 1/6\\-5/6 = -5/6\)

Answer:

45.00%

Step-by-step explanation:

The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.

Please rate me brainliest

Answer:

the 1st one

Step-by-step explanation:

In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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Answer: 113 CM

Step-by-step explanation:

Recall that the formula for the area of a circle is A = πr^2, where A represents the area and r represents the radius.

Substitute the given value of the radius into the formula: A = π(6 cm)^2

Simplify the expression: A = π(36 cm^2)

Use the approximation for π, which is 3.14, to calculate the approximate area: A ≈ 3.14(36 cm^2)

Multiply to get the final answer: A ≈ 113 cm^2.

Therefore, the area of the circle to the nearest whole number is 113 square centimeters.

Answer:

113

Step-by-step explanation:

Area of a circle = π r^2

A = π r^2

A = π * 6^2

A = π * 36

A = 113.097...

A = 113 (nearest whole number)

Answer:

15 x 20 x 4 = 1,200

6 x 4 = 24, 24 divided by 2 ( x 1/2 ) = 12

12(area of 1 triangle) x 12(width) = 144

Formula area of a triangle:

B(base) x H(height) x 1/2(basically just dividing by 2)

Formula volume of a rectangular prism:

L x W x H

Answer:

1) 1200

2) 144

Step-by-step explanation:

1:

Volume Of A Cube: L * W * H

Substitute: 25 * 20 * 4

2:

Volume Of A Triangular Prisism: 0.5 * B * A * H

Substitute: 0.5(6 * 4) * 12

Answer:

6.37× 10^ 4 is your answer

A point estimate (mean) for the average height of all people at the place where you work is 62.26

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

In statistics, the mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.

Given,

Number of observations =  20

Mean = sum of all observation / number of observations

Mean =  66 +65 +66+ 67+ 62+ 70+ 69+ 68+ 71+ 78+ 61+ 62.5+ 64+ 64.2+ 64.3+ 58+ 60+ 63+ 65+ 66.2 / 20

Mean = 1245.2 / 20 = 62.26

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Answer:

graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points

Step-by-step explanation:

Answer:

f(- 4) = 13

Step-by-step explanation:

We require to find the value of t which makes f(t) = 13

Equating the right sides gives

- 2t + 5 = 13 ( subtract 5 from both sides )

- 2t = 8 ( divide both sides by - 2 )

t = - 4

Then

(f(- 4) = 13

What is the midnumber between 1 and 7 ?

( 1 + 7 ) ÷ 2 =

8 ÷ 2 = 4

That was the direction now tell me what is the midpoint of point A and point B ?

midpoint of AB = ( A + B ) ÷ 2

m o AB = ( ( 14 , 15 ) + ( - 2 , 9 ) ) ÷ 2

m o AB = ( ( 14 - 2 , 15 + 9 ) ) ÷ 2

m o AB = ( ( 12 , 24 ) ) ÷ 2

m o AB = ( 12 ÷ 2 , 24 ÷ 2 )

m o AB = ( 6 , 12 )

Answer:

(0, 6)

Step-by-step explanation:

Point T has a coordinate pair of (3, 4). That is, at point T, x = 3, while y = 4.

3 points to the left of T would be a movement on the x-axis. This movement is a run across the x-axis. At T, x = 3. Therefore, 3 points to the left would be a decrease by 3 = 3 - 3 = 0.

3 points to the left of T would leave us with an x coordinate of 0.

2 points above T suggest a rise, which is on the y-axis.

Therefore, at T, y = 4. 2 points above 4 = 4 + 2 = 6. y coordinate would now be 6.

In conclusion, the ordered pair representing 3 points to the left, and 2 points above point T is (0, 6).

Answer:

the answer is C 126°

Step-by-step explanation: well first i picked B 90° and it was wrong then i picked C and i got it right

The event was attended by 467 sixth graders.

Let's start by setting up a proportion to represent the ratio of 6th graders to the total number of students at the dance:

6th graders / total students = 4/3

We can solve for the number of 6th graders by cross-multiplying:

6th graders = (4/3) * total students

Now we can substitute the given total number of students, 350, to find the number of 6th graders:

6th graders = (4/3) * 350

          = 466.67

Since we can't have a fraction of a student, we'll round the number of 6th graders to the nearest whole number:

6th graders ≈ 467

Therefore, approximately 467 6th graders attended the dance.

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Answer:

as a decimal it would be 0.370370370....

Step-by-step explanation:

as a percent 37.037037037%....

Answer:

it is in simplest form already

Step-by-step explanation:

Answer:

tt

Step-by-step explanation:

ttt

Answer:

2×7

Step-by-step explanation:

2×7=14 and their difference is 5

The rule for independent samples with equal variance is that the quotient of their variances falls between 0.5 and 2 is the correct answer.

The statement that summarizes a general rule about independent samples with equal variance is: "When the variance of one sample is divided by the variance of the other sample, the quotient is between 0.5 and 2."

This statement reflects the common assumption made in statistical analysis that when dealing with independent samples, the variances of the two samples are approximately equal. This assumption allows for certain statistical tests, such as t-tests, to be applied to compare the means of the samples.

If the quotient of dividing one sample's variance by the other sample's variance falls within the range of 0.5 to 2, it suggests that the variances are not significantly different from each other. This assumption of equal variance simplifies the statistical analysis and allows for more reliable and accurate comparisons between the samples.

It's important to note that this assumption may not always hold true, and there are statistical techniques available to handle cases where the assumption of equal variance is violated.

Therefore, as a general rule, assuming equal variance between independent samples within the range of 0.5 to 2 is a common practice in statistical analysis.  

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Answer: x/4+2=5

Step-by-step explanation:

The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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Answer:

Length of each side of square is 3 feet

Step-by-step explanation:

Given

Total area of the combined figure is 50.5 ft2

Total area of the combined figure = Area of Square + Area of triangle

Area of Square = Total area of the combined figure -Area of triangle

Area of Square = \(50.5 -41.5 = 9\) ft2

Let x be the side of a square, then its area would be x * x

\(x^2 = 9\\x = 3\)

Length of each side of square is 3 feet

The given solutions are y1 = et, y2 = e2tWe know that,If Wronskian (W) ≠ 0, then the solutions are linearly independent. If Wronskian (W) = 0, then the solutions are linearly dependent.

The Wronskian (W) of two functions is given by the expression as follows:Wronskian(W) =y1 y2' - y2 y1'Where y1, y2 are the two solutions of the given differential equation. The solution satisfying the given initial conditions can be obtained as follows:y = c1 y1 + c2 y2Now, we shall find the constant coefficients (c1 and c2) using the initial conditions.The given initial conditions are:y(0) = 12, y'(0) = 17.

We are given the following two solutions:y1 = et, y2 = e2tWe have to find the Wronskian (W) as follows:

Wronskian (W) = y1 y2' - y2 y1'Wronskian (W) = et × 2e2t - e2t × e0tWronskian (W) = 2et × e2t - 1× e2t = e2t (2et - 1)Wronskian (W) = e2t (2et - 1)The Wronskian (W) is not equal to zero, i.e., W ≠ 0Hence, the given solutions are linearly independent and form a fundamental set of solutions.

The solution to the differential equation is given by:y = c1y1 + c2y2... (1)where c1, c2 are arbitrary constants.Now, we shall find the constant coefficients (c1 and c2) using the given initial conditions.Substituting x = 0, y = 12 in equation (1), we get:c1 + c2 = 12... (2)Differentiating equation (1) with respect to x, we get:y' = c1y1' + c2y2' ... (3)Substituting x = 0, y' = 17 in equation (3), we get:c1 + 2c2 = 17... (4)Solving equations (2) and (4), we get:c1 = - 5, c2 = 17Substituting c1 and c2 in equation (1), we get:y = c1y1 + c2y2y = - 5et + 17e2t... (5)Thus, the solution satisfying the given initial conditions is y = - 5et + 17e2t.

Given differential equation isy′′ - 3y′ + 2y = 0And, the two solutions of this differential equation arey1 = ety2 = e2tNow, we have to find the Wronskian (W) of the given solutions which is given by the expression as follows:

Wronskian (W) = y1 y2' - y2 y1'Where y1, y2 are the two solutions of the given differential equation.

Substituting y1 and y2 in the above expression, we get:

Wronskian (W) = et × 2e2t - e2t × e0tWronskian (W) = 2et × e2t - 1 × e2t = e2t (2et - 1)Wronskian (W) = e2t (2et - 1)We know that,If Wronskian (W) ≠ 0, then the solutions are linearly independent.If Wronskian (W) = 0, then the solutions are linearly dependent.

Since, Wronskian (W) ≠ 0Hence, the given solutions are linearly independent and form a fundamental set of solutions.

The solution to the differential equation is given by:y = c1y1 + c2y2where c1, c2 are arbitrary constants.Now, we shall find the constant coefficients (c1 and c2) using the given initial conditions.

Substituting x = 0, y = 12 in equation (1), we get:c1 + c2 = 12... (2)Differentiating equation (1) with respect to x, we get:y' = c1y1' + c2y2' ... (3)Substituting x = 0, y' = 17 in equation (3), we get:c1 + 2c2 = 17... (4)Solving equations (2) and (4), we get:c1 = - 5, c2 = 17Substituting c1 and c2 in equation (1), we get:y = c1y1 + c2y2y = - 5et + 17e2tThus, the solution satisfying the given initial conditions is y = - 5et + 17e2t.

The Wronskian is e2t(2et-1).The solution satisfying the given initial conditions is y = - 5et + 17e2t.

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Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.