If you have a square with a perimeter of 18 inches, what is the area of the square after
scaling it by 7? Round to the nearest tenth is needed.

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer:

in △abc, the sides ab and ac are produced to ∠p and ∠q respectively. if the bisectors of ∠pbc and ∠qcb intersect at a point o. prove that ∠boc = 90 - ½ ∠a.

A trigonometric equation that is true for all values except those for which the expressions on either side of the equal sign are undefined is an identity.

In trigonometry, an identity is an equation that holds true for all values of the variables involved. It means that the equation is universally valid and satisfied by any valid input. An identity is not limited to specific values or restricted by any conditions.

When dealing with trigonometric identities, it is important to consider the domains and ranges of the trigonometric functions involved. Trigonometric functions such as sine, cosine, and tangent have certain restrictions on their domains where they are undefined, such as dividing by zero or taking the square root of a negative number.

Therefore, when an equation is true for all values except those that would make the expressions on either side of the equal sign undefined, it is referred to as a trigonometric identity. It is an equation that holds true universally, regardless of any restrictions or conditions on the variables or trigonometric functions involved.

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Answer:

try and move the line to touch more dots.

Step-by-step explanation:

then salve for y intersept

The estimated standard error for a sample of n = 9 scores with ss = 288 is 2. Among your choices, it should be B; s2 = 36 and sM  = 2.

Hope that helps!

Answer:

The correct option is A.

Step-by-step explanation:

It is given that  DEFG is a parallelogram.

Draw the diagonals DF and EG. Place point H where DF and EG intersect.

In triangle HGD and HEF

,

∠HGD ≅ ∠HEF                            (Alternate Interior angle)

∠HDG ≅ ∠HFE                      (Alternate Interior angle)

By the definition of a parallelogram, the opposite sides of a parallelogram are congruent.

DG ≅ EF                                      (Opposite sides of parallelogram)

According to ASA postulate :

two triangles are congruent if any two angles and their included side are equal in both triangles.

So, by using ASA criterion for congruence we get,

ΔDGH ≅ ΔFEH

Since corresponding sides of congruent triangles are congruent, therefore

GH ≅ EH                      (CPCTC)

DH ≅ FH                     (CPCTC)

The actual width of the plane = 6.5 feet and the actual length of the plane = 8.5 feet.

Provided that the die-cast plane toy is scaled at an inch to 1 foot, we can determine the dimensions of the actual plane by converting the measurements from inches to feet.

The width of the toy plane is 6.5 inches.

To obtain the actual width, we divide this measurement by the scale of 1 inch to 1 foot:

Actual width = 6.5 inches / 1 inch/1 foot = 6.5 feet.

Therefore, the actual width of the plane is 6.5 feet.

Similarly, the length of the toy plane is 8.5 inches.

Converting this measurement to feet, we have:

Actual length = 8.5 inches / 1 inch/1 foot = 8.5 feet.

Therefore, the actual length of the plane is 8.5 feet.

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The grocery store will be able to make 40 pyramids of ten cans each from their stock of 400 soup cans.

To calculate the number of pyramids that can be made, we need to divide the total number of cans by the number of cans in each pyramid. In this case, the grocery store has 400 cans of soup, and they want to stack them into pyramids of ten cans each.

Dividing 400 by 10 gives us 40. Therefore, the grocery store will be able to make 40 pyramids of ten cans each. Each pyramid will consist of ten cans arranged in a pyramid shape, with a base of four cans on each side and four cans stacked on top.

This arrangement allows for efficient stacking and easy counting. By organizing the cans into pyramids, the store can optimize space utilization and make it easier for customers to locate and access the soup cans. Additionally, it helps the employees keep track of the inventory and restock efficiently.

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

Angle =57°

So by linear property of the angles 57°+c=180°

c=180°-57°

c=123°

Angle c is 123°

Angle b=angle c (opposite angle)

angle b 123°

Answer:

In a nutshell, \(\frac{3}{5}\) is not equivalent to \(\frac{18}{32}\).

Step-by-step explanation:

Now we proceed to demonstrate that Edgar's statement is false:

1) \(\frac{3}{5}\) Given

2) \(\frac{3}{5} \times \frac{2}{2}\) Modulative property/Existence of multiplicative inverse

3) \(\frac{6}{10}\) \(\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}\)

4) \(\frac{6}{10}\times \frac{3}{3}\) Modulative property/Existence of multiplicative inverse

5) \(\frac{18}{30}\) \(\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot b}{c\cdot d}\)/Result

In a nutshell, \(\frac{3}{5}\) is not equivalent to \(\frac{18}{32}\).

Answer:

n< 7/2 or n< 3.5

Step-by-step explanation:

3n -11 > 5n -18

subtract  3n on both sides:

-11 > 2n-18

Add 18 on both sides:

7 > 2n

7/2 > n

n< 7/2

On number line ,from zero,count 3.5 to the right When you reach 3.5, draw an open circle since 3.5 is not included (don't fill the circle)

Answer:

(0.5, 0.5)

Step-by-step explanation:

Use the midpoint formula: \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

The points are:

\((\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})\)

Therefore, the midpoint between A and C is located at (0.5, 0.5).

Step 1

Given

Required: To find where the graph of both functions intersect. In other words the find the value of x and hence f(x) and g(x).

Step 2

Solve both equations simultaneously.

Subtract equation 2 from 1

Hence,

Step 3

Check

Hence the graph intersects at the point where x = 1.6 and y =6.2. Remember y = f(x) and g(x)

Answer: the sales tax is 2.45

Step-by-step explanation:

the sales tax are 35 * 7/100=2.45

Answer:

2 is the value that provides the same result with f(x) and g(x).

Step-by-step explanation:

You can solve this by saying:

f(x) = g(x)

and then solving for x.

So let's do it:

\(f(x) = g(x)\\-0.5x + 2 = 2x - 3\\2x + 0.5x = 2 + 3\\2.5x = 5\\x = 2\)

This tells us that when x = 2, the two functions will have identical values.  Let's try them out to confirm it!

f(x) = -0.5x + 2

f(2) = -0.5 * 2 + 2

f(2) = -1 + 2

f(2) = 1

g(x) = 2x - 3

g(2) = 2 * 2 - 3

g(2) = 4 - 3

g(2) = 1

So we can see that 2 is the value that produces the same result in both charts.

The input value that produces the same output value in both charts is 2. so the correct answer is option D.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

here, we have,

You are given two functions  f (x) = -0.5X +2 and g(x) = 2x - 3

x      f(x)

-3     3.5

-2     3

-1     2.5

0     2

1      1.5

2     1

3     0.5

The second table is given below:-

x      g(x)

-3      

-2      

-1      

0    

1      

2      

3      

We will put the points and will find the value of functions:-

g(-3) = 2(-3) - 3 = -6 -3 = -9

g(-2) = 2 -(-2) -3 = -7

g(-1) = 2( -1) -3 = -3

g(0) = 2 - 0  - 3 = -3

g(1) = 2.1 - 3 = -1

g(2) = 2.2 -3 = 1

g(3) = 2.3 -3 = 3

Hence the second table will be

x      g(x)

-3      -9

-2      -7

-1       -5

0       -3

1        -1

2       1

3       3

The input value that produces the same output value in both charts is 2.

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Answer:

non sequitur

Step-by-step explanation:

An argument in which the reasons do not support the conclusion so that the conclusion does not follow from the reasons offered is called a non sequitur.

Answer:

A B and C

Step-by-step explanation:

it's a simple question

On solving the question the provided answer will be as Therefore, the equation  quotient is 4x^2 - 8x + 22, and the remainder is -26. So we can write: 4x^3 + 6x + 18 = (x+2)(4x^2 - 8x + 22) - 26

The equals sign (=) is used in mathematical equations to denote equality between two assertions. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in mathematics. For instance, the equal sign places a space between the integers in the formula, which is 3x + 5 = 14. The relationship between each line on each side of a character can be expressed mathematically. Frequently, the logo and the specific component of software are the same. such as, for example, 2x - 4 = 2.

   4x^2 - 8x + 22

  ---------------------

x+2 | 4x^3 + 0x^2 + 6x + 18

    - (4x^3 + 8x^2)

    ---------------

           -8x^2 + 6x

           - (-8x^2 - 16x)

           --------------

                    22x + 18

                    - (22x + 44)

                    ---------

                         -26

Therefore, the quotient is 4x^2 - 8x + 22, and the remainder is -26. So we can write:

4x^3 + 6x + 18 = (x+2)(4x^2 - 8x + 22) - 26

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In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:

The volume of the right circular cone is \(1005.9\ \text{inch}^2\).

Step-by-step explanation:

It is given that,

Height of a right circular cone is 18.8 inches and its diameter is 14.3 inches. We need to find the volume of the cone. The volume of cone is

\(V=\dfrac{1}{3}\pi r^2 h\)

So,

\(V=\dfrac{1}{3}\times 3.14\times (\dfrac{14.3}{2})^2\times 18.8\\\\V=1005.9\ \text{inch}^2\)

So, the volume of the right circular cone is \(1005.9\ \text{inch}^2\).

Answer:1006.5

Step-by-step explanation:

Answer:

(x,y,z) = (1,1,4)

Step-by-step explanation:

\(A: -2x + 3y - z = -2\\B: 3x+y=4\\C: -2y+2z=4\\\)

\(Solve\ B\ for\ y: y = 4-3x\\Solve\ C\ for\ z: 2z=4+2y\ \ z=2+y\\Substitute\ B_y\ into\ C_z: z = 2+4-3x\ \ z=6-3x\\Substitute\ B_{y\ in\ terms\ of\ x}\ and C_{z\ in\ terms\ of\ x} into A: \\-2x + 3(4-3x) - (6-3x) = -2\\Distribute: -2x + 12-9x-6+3x=-2\\Combine\ Like\ Terms\ on\ either\ side: -2x-9x+3x=-2-12+6\\Factor\ out\ x\ and\ perform\ arithmetic\ on\ right: x(-2-9+3) = -8\\Perform\ Arithmetic: x(-8)=-8\\Divide:x=1\)

\(Plug\ x\ into\ B_y: y=4-3(1)\\Perform\ Arithmetic: y=1\\Plug\ y\ into\ C_z: z=2+2(1)\\Perform\ Arithmetic: z=4\)

The maximum number of people the lift can safely carry is 8 people.

Given that, the average mass of a man is 84 kg and of a woman is 70 kg.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Now, average = (84+72)/2

= 156/2

= 78

Let the number of people in the left be n.

So, 78n≤620

Divide 78 to both the sides of the inequality

78n/78≤620/78

⇒ n≤7.9

⇒ n≤8

Therefore, the maximum number of people the lift can safely carry is 8 people.

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Answer:

1. 286

2. 588

3.300

The total square footage (area) of the apartment is 337 square feet.

It is given in the question that, In a small apartment:-

Dimensions of the bedroom = 10 ft by 10ft

Dimensions of the bathroom = 5 ft by 5 ft

Dimensions of the living room/kitchen = 14 ft by 18 ft

We have to find the total square footage (area) of the apartment.

We know that,

Area of square = \(side^2\)

Hence,

Area of the bedroom = 100 square feet

Area of the bathroom = 25 square feet

Area of the living room/ kitchen = 212 square feet

Hence,

Total square footage of the apartment = 100 + 25 + 212 = 337 square feet.

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After solving the given expression, the value of obtained for f is equal to 55.5.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. A mathematical operation like reduction, addition, multiplication, or division is used to include terms in an expression.

As per the given information in the question,

The given expression is,

-2.2 + 0.4f - 14 - 6

-2.2 + 0.4f - 20

0.4f - 22.2

0.4f = 22.2

f = 22.2/0.4

f = 55.5

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Taking into account the definition of a system of linear equations, a small pizza and a regular pizza cost £7 and £11 respectively.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. This mieans thar systems of linear equations have as a solution set all ordered pairs (x, y) that satisfy the equation, where x and y are real numbers.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

2r + 3s= 43

8r + 9s= 151

Of the several methods to solve a system of equations. it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "r" from the first equation:

2r= 43 - 3s

r= (43 -3s)÷2

r= 43/2 - 3/2s

Replacing this expression in the second equation:

8×(43/2 - 3/2s) + 9s= 151

Solving:

8×43/2 - 8×3/2s + 9s= 151

172 -12s + 9s= 151

-12s + 9s= 151 - 172

-3s= -21

s= (-21)÷ (-3)

s= 7

Remembering that r=43/2 - 3/2s you get:

r=43/2 - 3/2×7

r= 11

Finally, a small pizza cost £7 and a regular pizza cost £11.

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