AD, BE, and FC intersect at point H. Which term classifies ∠AHB by its angle measure?

The significance test is a test that claim on the basis of p-value and cannot check if the observed effect and it is the observed effect due to chance. So, the right choice for the answer is option(b).

We have to determine the statement that reflects the test of significance in a number of statements. We check the each option one by one. A significance test tests the claim made. This test used to investigate the claim by considering the null and alternate hypothesis. It cannot used to check about the sample or the experiment are properly design or not. Now, the significance test determines that the observed effect is due to chance. Because it measures the observed difference between the group using the p-value ( probability or chance).

A significance test, tests the claim. It cannot say if the observed effect is important or not. It is only based on test the claim on the basis of p-value and cannot check if the observed effect is important. Hence, option( b) is right.

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The distance between the points (2, -4) and (2, 7) is 11 units.

What is distance?

In mathematics, the distance between two points is a numerical value that represents the amount of space between them. The distance between two points is calculated using the Pythagorean theorem, which applies to any two points in a two-dimensional or three-dimensional space.

The two points have the same x-coordinate of 2, so they lie on a vertical line. To find the distance between them, we need to find the difference between their y-coordinates.

The y-coordinate of the first point is -4 and the y-coordinate of the second point is 7. Therefore, the difference between the y-coordinates is:

7 - (-4) = 7 + 4 = 11

So the distance between the two points is 11 units.

Therefore, the distance between the points (2, -4) and (2, 7) is 11 units.

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Step-by-step explanation:

hope this will help you Thanks

If a sample of 100 Americans is taken that same week, then the probability that "sample-proportion" has between a 42% and a 47% approval rating is 0.7693 or 76.93%.

To calculate the probability that the sample-proportion falls between 42% and 47% for a sample of 100 Americans, we use the standard normal distribution.

The Sample size (n) is = 100,

The Sample proportion (p) = 46% or 0.46,

The "Standard-deviation" (σ) = √(p×(1-p)/n) = √(0.46×(1-0.46)/100) ≈ 0.0497,

We now calculate the "z-scores" corresponding to the lower and upper bounds of the desired range,

We know that, the value of "z" is (x - μ)/σ,

where x = desired proportion, μ = mean proportion, and σ = standard deviation,

So, The probability that the sample proportion has between a 42% and a 47% "approval-rating", is written as :

⇒ P(0.42 < x < 0.47) = P[(0.42 - 0.46)/0.0497 < z < (0.47 - 0.46)/0.0497],

⇒ P(0.42 < x < 0.47) = P[-0.807 < z < 2.015],

⇒ P(0.42 < x < 0.47) = 0.9783 - 0.209,

⇒ P(0.42 < x < 0.47) = 0.7693,

Therefore, the required probability is 0.7693 or 76.93%.

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Answer:

x<-1/5

Step-by-step explanation:

Imma assume the _ is a - soo

3x-1<-2x

5x<-1

x<-1/5

The complete table is:

x (weeks since 5 years ago)         y (in $)

260                                                 150.01

259                                                 150.06

256                                                 149.42

234                                                 142.03

208                                                 152.79

104                                                   97.65

0                                                       70.43

The coordinates are given by (260, 150.01), (259, 150.06), (256, 149.42), (234, 142.03), (208, 152.79), (104, 97.65), (0, 70.43).

The X axis suggests the weeks since 5 years ago and Y axis suggests the closing price at each time.

Number of weeks in a year is 52 weeks.  

Most recent time suggests, x = 52*5 = 260

when x = 260, then y = 150.01

7 days ago that is 1 weeks ago, x = 260 -1 = 259

The value of y then = $ 150.06

1 months ago that is 4 weeks ago, x = 260 - 4 = 256

The closing price then is, y = 149.42

6 months ago, x = 260 - 52/2 = 260 - 26 = 234

The closing price then is, y = 142.03

1 year ago that is 52 years ago, x = 260 - 52 = 208

The closing price was then, y = 152.79

3 years ago, x = 260 - 52*3 = 260 - 156 = 104

The closing price was then, y = 97.65

5 years ago, x = 260 - 52*5 = 260 - 260 = 0

The closing price was then, y = 70.43.

Then the coordinates are (260, 150.01), (259, 150.06), (256, 149.42), (234, 142.03), (208, 152.79), (104, 97.65), (0, 70.43).

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1. Mean = 54

2. Standard Deviation = 6.3

3. Probability = 0.077

4. Probability = 0.845

5. Probability = 0.155

6. Probability = 0.323

Sam still needs to walk 7/8 of a mile to reach his goal.

To find out how many miles Sam has already walked, we add the distance he walked before lunch (1 1/8 miles) to the distance he walked after resting (3/4 mile):

1 1/8 + 3/4 = 9/8 + 3/4 (since we need a common denominator of 8)

= 18/8 + 3/8

= 21/8

So Sam has already walked 2 5/8 miles.

To find out how much further he needs to go to reach his goal of 3 1/2 miles, we subtract what he's already walked from his goal:

3 1/2 - 2 5/8 = 7/2 - 21/8 (again, we need a common denominator of 8)

= 28/8 - 21/8

= 7/8

So Sam still needs to walk 7/8 of a mile to reach his goal.

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Answer:

Add 1 1/4 x 1 1/4

Step-by-step explanation:

The slope of the regression line is 0.922. Option C is correct.

The coefficient of determination (R-squared) is defined as the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a linear regression model. It can be calculated as the square of the correlation coefficient (r) between the dependent and independent variables.

If we assume a simple linear regression model with a single independent variable (x) and a single dependent variable (y), the slope of the regression line (b) can be calculated as:

b = r * (Sy / Sx)

where r is the correlation coefficient between x and y, Sy is the standard deviation of y, and Sx is the standard deviation of x.

If the coefficient of determination is 0.85, then the correlation coefficient is the square root of 0.85, which is approximately 0.922. Assuming the standard deviations of x and y are known, we could use the formula above to calculate the slope of the regression line as:

b = 0.922 * (Sy / Sx)
Therefore, 0.922, could be the slope of the regression line in this case, if the assumptions of a simple linear regression model with known standard deviations are met. Option C is correct.

The complete question is

The coefficient of determination resulting from a particular regression analysis was 0.85. What was the slope of the regression line?

a. 0.85

b. -0.85

c. 0.922

d. There is insufficient information to answer the question.

e. None of the above

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Answer:

[tex]\frac{11}{8}[/tex]

Step-by-step explanation:

[tex]\frac{11}{2}[/tex] ÷ 4 = [tex]\frac{11}{2}[/tex]  x [tex]\frac{1}{4}[/tex] = [tex]\frac{11}{8}[/tex]

So, the answer is [tex]\frac{11}{8}[/tex]

The area of the figure is 39ft²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

Area of a rectangle is expressed as ;

A = l × w

where l is the length and w is the width.

Dividing the shape into two;

The area of shape 1 = l× w

= 3× 7 = 21ft²

The area of shape 2 = l× w

= 6 × 3 = 18 ft²

therefore the total area = 21+18 = 39 ft²

therefore the area of the figure is 39ft²

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The only true statement is 2 x (4 + 2) - 6 = 14 ÷ (3.5 x 2 ) + 4.

option A.

BODMAS is an acronym that stands for "Brackets, Orders, Division, Multiplication, Addition and Subtraction".

The rule of BODMAS states that when you have a mathematical expression that involves multiple arithmetic operations, you need to perform them in a certain order. You should start by evaluating anything inside brackets or parentheses first. Then, you should work out any exponents or square roots. After that, you should perform any division or multiplication from left to right, and finally, you should perform any addition or subtraction from left to right.

If we apply the rule of BODMAS to all the given options, we would notice that only option 1 is true.

2 x (4 + 2) - 6 = 14 ÷ (3.5 x 2 ) + 4

L.H.S ⇒ 2 x (6) - 6

= 12 - 6

= 6

R.H.S ⇒ 14 ÷ (3.5 x 2 ) + 4

= 14 ÷ (7) + 4

= 2 + 4

= 6

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The image of square JKLM after a dilation with a scale factor of 1/5 centered at the origin is a smaller square with vertices J'(-0.4, 0.4), K'(0.4, 0.4), L'(-0.4, -0.4), and M'(0.4, -0.4).

A graph is a visual representation of data, relationships or functions, typically consisting of points, lines, and curves plotted on a coordinate system.

To graph the image of square JKLM after a dilation with a scale factor of 1/5 centered at the origin, we need to perform the following steps:

Plot the vertices of the square JKLM.

Draw lines connecting the vertices to form the square.

Find the coordinates of the image vertices after dilation with a scale factor of 1/5 centered at the origin.

Plot the image vertices and connect them to form the image square.

Here's a step-by-step guide to performing each of these steps:

Plot the vertices of square JKLM:

J(-2, 2)    K(2, 2)

    +------+

    |      |

    |      |

    +------+

L(-2, -2)   M(2, -2)

Draw lines connecting the vertices to form the square:

      J(-2, 2)    K(2, 2)

          +------+

          |      |

          |      |

          +------+

L(-2, -2)         M(2, -2)

Find the coordinates of the image vertices after dilation with a scale factor of 1/5 centered at the origin:

To find the coordinates of the image vertices, we need to multiply the coordinates of each vertex by the scale factor of 1/5:

[tex]J' = (-2 * 1/5, 2 * 1/5) = (-0.4, 0.4)\\K' = (2 * 1/5, 2 * 1/5) = (0.4, 0.4)\\L' = (-2 * 1/5, -2 * 1/5) = (-0.4, -0.4)\\M' = (2 * 1/5, -2 * 1/5) = (0.4, -0.4)\\[/tex]

Plot the image vertices and connect them to form the image square:

        J'(-0.4, 0.4)    K'(0.4, 0.4)

            +------+

            |      |

            |      |

            +------+

L'(-0.4, -0.4)         M'(0.4, -0.4)

The image of square JKLM after a dilation with a scale factor of 1/5 centered at the origin is a smaller square with vertices J'(-0.4, 0.4), K'(0.4, 0.4), L'(-0.4, -0.4), and M'(0.4, -0.4).

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The image of square JKLM after a dilation with a scale factor of 1/5, centered at the origin, is a smaller square centered at the origin.

To graph the image of square JKLM after a dilation with a scale factor of 1/5, centered at the origin, we can follow these steps:

Draw the original square JKLM.

Draw a line segment from the origin to each vertex of the square.

Multiply the length of each line segment by 1/5.

Draw a new square centered at the origin, with side lengths equal to the lengths of the new line segments.

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The measure of ∠JMK =52° and ∠KML = 38°.

Three rays ML, MK, and MJ share an endpoint M. Ray MK forms a bisector as shown in the attached image and the bisector divides angle JML into two parts.

To Prove:  is a right angle.

Proof:

Statements  Reasons

1. m∠JMK = 52°                  Given

2. m∠KML = 38°                  Given

3. m∠JMK + m∠KML = m∠JML

The reason for statement 3 is Angle addition postulate. As angle JML is composed of 2 angles that is angle JMK and angle KML. So by adding the measures of angles JMK and KML, we will get the measure of angle JML which is referred as Angle addition postulate.

4. 52° + 38° =m∠JML            Substitution property of equality

5. 90° = m∠JML                    Simplification

6. ∠JML is a right angle.      Definition of right angle

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Answer:

mean= 56.9

median= 55.5

mode= 64

The Number of atoms ≈ 5.119 x 10^24 atoms

The Mass ≈ 248.0 g

Mass ≈ 248.0 g

To find the number of atoms, we use Avogadro's number, which is 6.022 x 10^23 atoms/mole.

Number of atoms = (8.500 moles) * (6.022 x 10^23 atoms/mole)

Number of atoms ≈ 5.119 x 10^24 atoms

To find the mass, we need the molar mass of oxygen, which is 16.00 g/mole.

Mass = (15.50 moles) * (16.00 g/mole)

Mass ≈ 248.0 g

Determine the number of moles of helium in 1.953 x 10^8 g of helium.

To find the number of moles, we need the molar mass of helium, which is 4.00 g/mole.

Number of moles = (1.953 x 10^8 g) / (4.00 g/mole)

Number of moles ≈ 4.883 x 10^7 moles

Calculate the number of atoms in 147.82 g of sulfur.

To find the number of atoms, we first need to find the number of moles of sulfur, and then use Avogadro's number. The molar mass of sulfur is 32.07 g/mole.

Number of moles = (147.82 g) / (32.07 g/mole)

Number of moles ≈ 4.609 moles

Number of atoms = (4.609 moles) * (6.022 x 10^23 atoms/mole)

Number of atoms ≈ 2.772 x 10^24 atoms

Determine the molar mass of Co.

The molar mass of cobalt (Co) is 58.93 g/mole.

Determine the formula mass of Ca3(PO4)2.

To find the formula mass, we need to add up the molar masses of all the elements in the compound.

Ca3(PO4)2 contains 3 calcium (Ca) atoms, 2 phosphorus (P) atoms, and 8 oxygen (O) atoms.

Molar mass of Ca = 40.08 g/mole

Molar mass of P = 30.97 g/mole

Molar mass of O = 16.00 g/mole

Formula mass = (3 * 40.08) + (2 * 30.97) + (8 * 16.00)

Formula mass = 120.24 + 61.94 + 128.00

Formula mass ≈ 310.18 g/mole

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The final absolute value inequality that represents the solution set x ≤ -9 or x ≥ -5 is |x + 7| ≥ 2.

If the absolute value expression is greater than or equal to a number (e.g. |x| >= 5).

We can write it as two separate inequalities: x >= 5 or x <= -5.
The absolute value expression is less than or equal to a number (e.g. |x| <= 3)

We can write it as the single inequality: -3 <= x <= 3.
Using these rules:

We can write an absolute value inequality that has the solution set x <= -9 or x >= -5200 as follows:
| x + 2604 | >= 5193
To see why this works,

Let's first look at the case where x is less than or equal to -9. In this case, we have:
x + 2604 <= -9
x <= -2613
Plugging this into our inequality:
| -2613 | >= 5193
Which is true, since |-2613| = 2613 >= 5193.
Now let's look at the case where x is greater than or equal to -5200. In this case, we have:
x + 2604 >= -5200
x >= -7804
Plugging this into our inequality, we get:
| -7804 | >= 5193
Which is also true, since |-7804| = 7804 >= 5193.
Therefore, the inequality | x + 2604 | >= 5193 has the solution set x <= -9 or x >= -5200, as desired. I hope this helps! Let me know if you have any other questions.
Midpoint = (-9 + (-5)) / 2 = -7
The absolute value inequality will have the form |x - (-7)|.
|x + 7| ≥ 2, since the distance between -9 and -7 is 2.
|x + 7| ≤ -2, since the distance between -5 and -7 is -2.
However,

An absolute value cannot be negative, so the second inequality doesn't make sense. Therefore, we'll only use the first inequality.
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Answer:

C

Step-by-step explanation:

3x - 9y = 9 → (1)

- 2x +2y = 8 ( subtract 2y from both sides )

- 2x = - 2y + 8 ( divide through by - 2 )

x = y - 4

substitute x = y - 4 into (1)

3(y - 4) - 9y = 9

3y - 12 - 9y = 9

- 6y - 12 = 9 ( add 12 to both sides )

- 6y = 21 ( divide both sides by - 6 )

y = [tex]\frac{21}{-6}[/tex] = - [tex]\frac{7}{2}[/tex]

The width of the shower caddy is 8 inches.

What is Volume?

Volume is a measure of the total amount of material that an object contains. In mathematical terms, volume is calculated by multiplying the length, width, and height of an object.

We can use the formula for the volume of a rectangular prism, which is V = lwh, where l is the length, w is the width, and h is the height.

We know that the volume of the caddy is 420 cubic inches, the length is 10.5 inches, and the height is 5 inches. Let's substitute these values into the formula and solve for the width:

420 = 10.5w × 5

Divide both sides by 52.5:

8 = w

Therefore, the width of the shower caddy is 8 inches.

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It will take John approximately 17 months to pay off the balance.

What is simple interest?

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Assuming that John does not use the credit card for any other purchases and that the credit card company uses a simple interest calculation method, we can use the following steps to calculate the number of months it will take John to pay off the balance:

Calculate the monthly interest rate by dividing the annual percentage rate (APR) by 12:

Monthly interest rate = 19% / 12 = 0.01583

Calculate the monthly finance charge by multiplying the outstanding balance by the monthly interest rate:

Monthly finance charge = $2000 x 0.01583 = $31.66

Subtract the monthly payment from the monthly finance charge to get the amount that will be applied to the outstanding balance:

Payment applied to balance = $150 - $31.66 = $118.34

Divide the outstanding balance by the payment applied to balance to get the number of months it will take to pay off the balance:

Number of months to pay off balance = $2000 / $118.34 = 16.9

(rounded up to the nearest whole number)

Therefore, it will take John approximately 17 months to pay off the balance.

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Therefore, the justification for step 2 is "Addition Property of Equality" and the justification for step 3 is "Multiplication Property of Equality".

An equation is a mathematical statement that shows the equality of two expressions, usually separated by an equal sign. It means that the expressions on both sides of the equal sign represent the same value or quantity. Equations can involve one or more variables and may have different degrees of complexity. They are commonly used to model various real-world situations and to solve problems in mathematics, science, engineering, and other fields.

Here,

2. To isolate the variable term, add 9 to both sides. This yields:

x/2 - 9 + 9 = -4 + 9

Simplifying the left side, we get:

x/2 = 5

3. To solve for x, multiply both sides by 2. This yields:

x/2 * 2 = 5 * 2

Simplifying both sides, we get:

x = -10

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The probability that it is raining and the flight is delayed is equal to the probability of it raining multiplied by the probability of the flight being delayed.

Therefore, the probability that it is raining and the flight is delayed is 0.07 * 0.16 = 0.0112. Rounded to the nearest thousandth, this is 0.011.

The 3 trigonometric ratios of the right triangle with respect to angle A are as follows:

sin A = 12 / 13

cos A = 5 / 13

tan A = 12 / 5

The side of a right angle triangle can be found using trigonometric ratios as follows:

Therefore, let's find the 3 trigonometric ratios with respect to angle A.

sin A = opposite / hypotenuse

sin A =  36 / 39

sin A = 12 / 13

cos A = adjacent  / hypotenuse

cos A = 15 / 39

cos A = 5 / 13

tan A = opposite / adjacent

tan A = 36 / 15

tan A = 12 / 5

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Let's use the variable x to represent the list price of the car.

The total cost your cousin paid for the car is the list price plus a 7% sales tax on the list price, plus $450 in additional fees.

We can write this as an equation:

Total cost = List price + 0.07(List price) + 450

We know that the total cost your cousin paid was $12,755, so we can substitute that into the equation:

12,755 = x + 0.07x + 450

Simplifying the right side:

12,755 = 1.07x + 450

Subtracting 450 from both sides:

12,305 = 1.07x

Dividing both sides by 1.07:

x = 11,500

Therefore, the list price of the car your cousin bought was $11,500.

The list price of the car your cousin bought was $11,500.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by setting up an equation to represent the total cost of the car:

Total cost = List price + 7% of List price + $450

We know that the total cost is $12,755, so we can substitute that in:

$12,755 = List price + 0.07(List price) + $450

Simplifying this equation, we get:

$12,755 = 1.07(List price) + $450

Subtracting $450 from both sides, we get:

$12,305 = 1.07(List price)

Dividing both sides by 1.07, we get:

List price = $11,500

Therefore,

The list price of the car your cousin bought was $11,500.

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Answer: I’m pretty sure it’s B

Step-by-step explanation:

The second time when harry feel like consuming 17 kg of sheep after he wakes up is equal to 39.7 hours ( round to nearest tenth of an hour).

Function is equal to

H (t) = 12 sin (2/24t) +15

Where  H(t) models the weight of sheep in kg that Harry like to swallow in 't' hours after wakes up.

't' in radians.

Harry wants to consumes 17kg

⇒ H(t) = 17 for t.

Substituting the given expression for H(t), we get,

⇒ 12 sin(2/24 t) + 15 = 17

⇒ 12 sin(2/24 t) = 2

⇒ sin(2/24 t) = 1/6

⇒ 2/24 t = sin^(-1)(1/6)

We know that sin^(-1)(1/6) = 0.167

Substitute the value we get,

⇒ t = 12 × 0.167

⇒ t = 2.004 radians

This gives us the first time after Harry wakes up that he feels like consuming 17 kg of sheep.

For the second time,

Add one full period to the first time, since the function H(t) has a period of 12π/2 = 6π.

The second time is,

t = 2.004 + 6π

  = 2.004 + 6×3.14

 = 20.844 radians

To round to the nearest tenth of an hour,

Since there are 12 hours in a full revolution.

Convert radians to hours by dividing by 2π and then multiplying by 12.

t = 20.844/(2π) ×  12

 = 3.31 × 12 hours

 = 39.69

  = 39.7 (rounded to the nearest tenth)

Attached graph.

Therefore, the second time after Harry wakes up that he feels like consuming 17 kg of sheep is approximately 39.7 hours after he wakes up.

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