What is the perimeter of this square?

a square with one side labeled 6 meters

36 m2
24 m
12 m2
12 m

Step-by-step explanation:

hope this will help you Thanks

Answer:

mean= 56.9

median= 55.5

mode= 64

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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Step-by-step explanation:

The only number there :   6/5 is the constant of proportionality

The justifications for 2 and 3 are;

Addition property of equality and

Multiplication property of equality

1. x/2 - 9 = -4 given

Add 9 to both sides

2. x/2 = -13 (Addition property of equality)

cross product

3.x = -26 (Multiplication property of equality)

Therefore, x/2 - 9 = -4 where x Is -26 is justified by addition and multiplication property of equality.

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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.

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]

we can conclude that Walk is the most preferred transportation method among the randomly selected San Francisco residents, followed by Cable Car, Bus, Streetcar, and Bicycle.

How to solve the question?

Based on the given circle graph, we can draw the following conclusions:

Bus is the preferred transportation for 10% of the sample size, which is (10/100) x 300 = 30 residents. Therefore, the statement "Bus is the preferred transportation for 25 residents" is false.

Bicycle is the preferred transportation for 8% of the sample size, which is (8/100) x 300 = 24 residents. Therefore, the statement "Bicycle is the preferred transportation for 48 residents" is false.

Together, Streetcar and Cable Car are the preferred transportation for 27% + 15% = 42% of the sample size, which is (42/100) x 300 = 126 residents. Therefore, the statement "Together, Streetcar and Cable Car are the preferred transportation for 42 residents" is false.

Together, Walk and Streetcar are the preferred transportation for 40% + 15% = 55% of the sample size, which is (55/100) x 300 = 165 residents. Therefore, the statement "Together, Walk and Streetcar are the preferred transportation for 165 residents" is true.

In summary, we can conclude that Walk is the most preferred transportation method among the randomly selected San Francisco residents, followed by Cable Car, Bus, Streetcar, and Bicycle.

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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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In the study by Phoenix Marketing International, the following number of millionaires were found in each city:

1. Bridgeport, CT: 42 millionaires out of 500 sampled (42 + 458)
2. San Jose, CA: 37 millionaires out of 300 sampled (37 + 263)
3. Washington, D.C.: 35 millionaires out of 400 sampled (35 + 365)
4. Lexington Park, MD: 35 millionaires out of 400 sampled (35 + 365)

To estimate the percentage of millionaires in each city, divide the number of millionaires by the total sample size, then multiply by 100:

1. Bridgeport, CT: (42/500) * 100 = 8.4%
2. San Jose, CA: (37/300) * 100 = 12.3%
3. Washington, D.C.: (35/400) * 100 = 8.75%
4. Lexington Park, MD: (35/400) * 100 = 8.75%

So, the estimated percentage of millionaires in Bridgeport is 8.4%, in San Jose is 12.3%, in Washington, D.C. is 8.75%, and in Lexington Park is 8.75%.

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To calculate this probability, we need to use the cumulative binomial probability formula:

P(X ≤ k) = Σ(i=0 to k) (n choose i) p^i (1-p)^(n-i)

Where:
- X is the number of heads obtained
- k is the number of heads we want to calculate the probability for (in this case, the same number of heads obtained)
- n is the total number of coin flips (10 in this case)
- p is the probability of getting heads on a single flip (0.5 for a fair coin)
- (n choose i) is the binomial coefficient, which represents the number of ways to choose i heads out of n flips

For this problem, we want to calculate P(X ≤ 10), since we're interested in the probability of obtaining as many heads as we did or less. Plugging in the values, we get:

P(X ≤ 10) = Σ(i=0 to 10) (10 choose i) 0.5^i 0.5^(10-i)
          = (10 choose 0) 0.5^0 0.5^10 + (10 choose 1) 0.5^1 0.5^9 + ... + (10 choose 10) 0.5^10 0.5^0
          = 0.00098 + 0.00977 + 0.04395 + 0.11719 + 0.20508 + 0.24609 + 0.20508 + 0.11719 + 0.04395 + 0.00977 + 0.00098
          = 0.9453

Therefore, the probability of obtaining as many heads as we did or less when flipping a fair coin 10 times is 0.9453.

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Answer:

Add 1 1/4 x 1 1/4

Step-by-step explanation:

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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(A) The information will be categorized.

(B) The easiest technique to show categorical data would be to use a graph or a Pie chart.

Categorical data is a body of knowledge that is organized into categories.

For instance, the data obtained when an organization or agency tries to collect the biodata of its employees is referred to as categorical data.

Categorical variables represent different sorts of data that can be categorized.

Race, sex, age, and educational level are a few examples of categorical variables.

So, in the given situation where the survey has been, taken:

(A) The data will be in categorical form.

(B) Graph or Pie chart would be the best way to display the categorical data.

Therefore, (A) The information will be categorized.

(B) The easiest technique to show categorical data would be to use a graph or a Pie chart.

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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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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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Yes, the truck fit in the parking space for the given rectangle dimensions through which 13.5ft<19ft or 11ft>8.5ft

What about rectangle dimensions?

The dimensions of a rectangle refer to its length and width, which are the two perpendicular sides of the rectangle. The length is the longer side of the rectangle, while the width is the shorter side. The dimensions are usually denoted by the letters "l" and "w", with the length written first.

For example, if a rectangle has a length of 6 units and a width of 4 units, its dimensions would be written as "6 x 4", or "l = 6, w = 4". The area of a rectangle can be calculated by multiplying its length by its width, while its perimeter is given by the sum of twice its length and twice its width.

According to the given information:

We know the are of parking space = [tex]209ft^{2}[/tex]

So, 19 x b = 209

b = 11

13.5 ft < 19 ft and 11 ft > 8.5 ft

So, the truck fit in the parking space (parallelogram area formula)

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Answer: I’m pretty sure it’s B

Step-by-step explanation:

libraries is approximately normal

Yes, the conditions for use of a t-model are met. The sample size is large enough (100) and the distribution of time spent at university libraries is approximately normal.

Since BC = 12 and AB = 16, segment BF must be 9, which is one-half of 16.

A triangle is a three-sided polygon that is one of the basic shapes in geometry. It is defined by three points that are connected by three line segments. Triangles have three angles, which add up to 180 degrees, and three sides, which add up to the sum of the lengths of the other two sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. Triangles come in a variety of forms, from the equilateral triangle, which has three sides of equal length, to the isosceles triangle, which has two sides of equal length, to the scalene triangle, which has three sides of different lengths.

The correct answer is: Segment BF = 9. This can be proved true using the given theorem, since segment DE is parallel to segment BC and segment EF is parallel to AB. Therefore, since BC = 12 and AB = 16, segment BF must be 9, which is one-half of 16.

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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 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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The amount of mixed juice that was left in the jug is 5/4 of a bottle

Pavarti used 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice, so the total amount of mixed juice is:

7/8 + 3/4 = 14/16 + 12/16 = 26/16 = 13/8

So, Pavarti had 13/8 of mixed juice in the jug.

Pavarti then drank 3/8 of a bottle of the mixed juice, so the amount of mixed juice left in the jug is:

13/8 - 3/8 = 10/8 = 5/4

Therefore, the amount of mixed juice that was left in the jug is 5/4 of a bottle.

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The amount of mixed juice left in the jug is 5/4 (or 1 1/4).

A fraction is a numerical quantity that represents a part or parts of a whole.

Since Pavarti filled the jug with 7/8 of a bottle of strawberry juice and 3/4 of a bottle of mango juice. The total amount of mixed juice will be:

amount of mixed juice = 7/8 + 3/4

                                        = 13/8

She then drank 3/8 of a bottle of the mixed juice. That is subtraction.

Thus, the amount of mixed juice left in the jug will be:

mixed juice left = 13/8 - 3/8

                           = 10/8

                           = 5/4

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It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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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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The section for piano will have 60 degrees in the circle graph.

To find out how many degrees the section for piano will have in the circle graph, we first need to find the fraction of the circle that the piano represents.

The total degrees in a circle is 360 degrees. We can use the given fraction of piano (1/6) and multiply it by 360 degrees to find out the degrees of the section for piano.

Degrees for piano = (Fraction of piano) × 360

Degrees for piano = (1/6) × 360

Now, multiply the fraction by 360:

Degrees for piano = 60

So, the section for piano will have 60 degrees in the circle graph.

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→ 60° ( btw, ° means degrees )

— if a WHOLE circle is 360° and the piano is 1/6 of the circle, then all you have to do is multiply 1/6 by 360° which gives you 60 OR 60°

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