Mr.Lopez has a new house and wants to put a fence around the perimeter of the yard.
How many feet of fending will he need to buy if his yard is rectangular and measures 100 ft by 140 fa

The statement is given as

The seventh decile is the ___ percentile in terms of the data set.

The seventh decile is the 70-th percentile in terms of the data set.

Hence the answer is 70th percentile in terms of data set.

​

In this Venn  diagram, the number 30 appears in the overlapping region of the circles, and the number 35 appears outside of both circles.

Let's use T to represent the set of people who like tea, M to represent the set of people who like milk, and U to represent the universal set of all 180 people. We know that:

|T| = 95 (the number of people who like tea)

|M| = 80 (the number of people who like milk)

|T ∪ M| = 180 - |T ∩ M| = 180 - 35 = 145 (the number of people who like either tea or milk)

To find the number of people who like both tea and milk, we can use the formula:

|T ∩ M| = |T| + |M| - |T ∪ M|

Substituting in the values we know, we get:

|T ∩ M| = 95 + 80 - 145 = 30

Therefore, 30 people like both tea and milk.

To represent this information in a Venn diagram, we can draw two overlapping circles to represent the sets T and M. The circle for T should contain 95 elements, and the circle for M should contain 80 elements. The overlap region between the circles should contain 30 elements. The region outside of both circles should contain 35 elements, since 35 people do not like either tea or milk. The Venn diagram would look like this:

         _______________

        /               \

       /                 \

      /         T         \

      \                   /

       \_________________/

              |

              |     30

              |

       ______/ \______

      /               \

     /                 \

    /         M         \

    \                   /

     \_________________/

In this diagram, the number 30 appears in the overlapping region of the circles, and the number 35 appears outside of both circles.

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Answer:

23.6%

Explanation:

A relative frequency table shows the number of times a specific event occurs compared to the total number of events.

First, we calculate the total number of vehicles.

Next, the number of red cars = 13.

Therefore, the relative frequency for red cars will be:

The percent that would go in the cell for red cars is 23.6%.

Answer:

The answer is B

Step-by-step explanation:

It's asking what the X values are, meaning only the (X,y) the x part of the coordinates

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

The formula of a circle is pie radius ^2. Its asking for the surface area. So I got C because you do pie 18^2 and gets you approximately 1017. Although A also says 18 as the radius, it says meters. After you solve a surface area problem you do square meters or square units. For volume you have to use   units cubed or units ^3. Make sure to always do this or your teacher might count you as wrong.

Answer:

Let's first try to find the radius before finding the diameter because when you find the radius, you double it to get the diameter.

To find the radius, use the area for a circle formula and plug in the values you know so far, so the formula is;

A = π\(r^{2}\)

What we know:

Plug that area in our equation:-

A = π\(r^{2}\)

1,017 = 3.14\(r^{2}\)

Solve for r;

÷3.14  ÷3.14

324(approximate) = \(r^{2}\)

√324 = r

18 = r, the radius is around 18 square meters (do not mistake the unit for some other unit).

Plug in your options' numbers into the equation;

A = π\(r^{2}\)

And by looking at the options, we can see the only number here being used is 18, so we use 18 in the formula for the area of a circle to check if it'll result in 1,017 as the area.

Also: Notice if it says diameter or radius when using this solution, you are looking for the radius first.

Answer:

a

Step-by-step explanation:

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

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Answer:

The 95% CI is   \(2.108 < \mu < 2.892\)

Step-by-step explanation:

From the question we are told that

   The  population mean \(\mu = 2.5\)

    The standard deviation is  \(\sigma = 0.8\)

Given that the confidence level is  95% then the level of confidence is mathematically evaluated as

          \(\alpha = 100 - 95\)

   =>  \(\alpha = 5\%\)

  =>    \(\alpha = 0.05\)

Next we obtain the critical value of  \(\frac{\alpha }{2}\) from the normal distribution table, the values is  \(Z_{\frac{\alpha }{2} } = 1.96\)

Generally the margin of error is mathematically evaluated as

          \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }\)

here we would assume that the sample size is  n =  16 since the person that posted the question did not include the sample size

  So    

               \(E = 1.96* \frac{0.8}{\sqrt{16} }\)

               \(E = 0.392\)

The  95% CI is mathematically represented as

              \(\= x -E < \mu < \= x +E\)

substituting values

              \(2.5 - 0.392 < \mu < 2.5 + 0.392\)

substituting values

              \(2.108 < \mu < 2.892\)

Answer:

100

Step-by-step explanation:

anything lower then 4 stays anythiing 5 or higher is rounded

so this also works with 40 50 400 500 4000 5000, you gte the point

oodluck on your test or homework! :)

The true statement about the graphed function is:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Looking at it's graph, we have that:

Researching this problem on the internet and looking at the graph of the function, the correct statement is given by:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

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Answer: A

Step-by-step explanation:

There was no active ingredient in the pill but Jennifer thought her headache went away . This is what is required for a placebo effect.

The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).

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Answer:

  substitution property

Step-by-step explanation:

When you replace m∠A in the second equation with its equal, as defined by the first equation, you are making use of the substitution property.

That property says you can replace anything by its equal.

Answer:

subsitution

Step-by-step explanation:

i jus took the quiz

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

let's solve for f :

Taking reciprocal of both sides :

If a corporate bond that you own at the beginning of the year is worth $880. your dollar return  is $36 and percent return is: 4.09%.

a. Dollar return

Dollar return of the bond = Amount paid + Ending year value - Beginning year value

Dollar return of the bond = $46+$870 - $880

Dollar return of the bond = $36

b. Percent return

Percent return = Final value - Initial value/Initial value

Percent return =( $870 + $46) - $880/$880

Percent return = $916 - $880/$880

Percent return = $36/$880 × 100

Percent return = 4.09%

Therefore your dollar return  is $36 and percent return is: 4.09%.

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An explicit formula for the arithmetic sequence is aₙ = 14 - 4(n - 1).

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 14

Second term, a₂ = 10

Third term, a₃ = 6

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = 10 - 14

Common difference, d = -4

Substituting the parameters into the mathematical expression, we have;

aₙ = 14 + (n - 1)(-4)

aₙ = 14 - 4(n - 1).

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The exact value of cos0 in simplified form is \($\frac{8 \sqrt{113}}{113}$\)

Given : The terminal side of  passes through the point (8, -7).

What is triangle?

As we measure the value of  from the triangle that is formed in the quadrant in which the terminal side finish.

From the diagram as shown below, we can see that the terminal side is in the IV quadrant.

Use the triangle ABC:

here, AC = x = 8 units and BC = y = -7

Using Pythagoras theorem:

\($$\begin{aligned}& A B^2=A C^2+B C^2 \\& A B^2=8^2+(-7)^2=64+49=113\end{aligned}$$\)

or

\($A B=\sqrt{113}$\) units.

To find the exact value of \($\cos \theta$\) in simplified form.

\($$\begin{aligned}& \cos \theta=\frac{\text { Adjacentside }}{\text { Hypolenuseside }} \\& \cos \theta=\frac{A C}{A B}\end{aligned}$$\)

Substitute the value of \($\mathbf{A C}=\mathbf{8}$ units and $\mathbf{A B}=\sqrt{113}$\) units.

\($$\cos \theta=\frac{8}{\sqrt{113}}$$\)

or

\($$\cos \theta=\frac{8}{\sqrt{113}} \times \frac{\sqrt{113}}{\sqrt{113}}=\frac{8 \sqrt{113}}{(\sqrt{113})^2}$$\)

Simplify:

\($$\cos \theta=\frac{8 \sqrt{113}}{113}$$\)

Therefore, the exact value of \($\cos \theta$\)in simplified form is;

\(\frac{8 \sqrt{113}}{113}$$\)

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As a result, -3/10 csc⁵-3x + C is the antiderivative of 9csc-3xcot-3x⋅ csc³-3x.

In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or an added to the initial, the derivative which is the previous function (indefinite integral).

9csc-3xcot-3x ⋅ csc³-3x = 9csc⁴-6x cot-3x

Then, we can use u-substitution, with u = csc-3x and du/dx = -3csc-3xcot-3x dx, as in the previous problem. We get:

∫9csc-3xcot-3x⋅ csc³-3x dx = -3/2 ∫u⁴ du

= -3/2 × u⁵ / 5 + C

= -3/10 csc⁵-3x + C

Therefore, the antiderivative of 9csc-3xcot-3x⋅ csc³-3x is -3/10 csc⁵-3x + C.

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Answer:

-5

Step-by-step explanation:

The equation is in slope intercept form,

y = mx+b

where m is the slope and b is the y intercept.

y = -4x-5

The slope is -4 and the y intercept is -5.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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The required answer for the given mathematical operation is 182.5

What are arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given, 67.4 + 43 + 30 + 42.10

        = 110.4 + 30 + 42.1

        = 140.4 + 42.1

        = 182.5

Hence, the required answer for the given mathematical operation is 182.5

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Answer:

a(2ab+cd

(2×5×6)+(4×3)

60+12

72

b)abc

5×6×4

120

Answer:

The length of a rectangle is 7 inches longer than it is wide. If the area is 170 square inches, what are the dimensions of the rectangle?

Answer by Cromlix(4381)   (Show Source): You can put this solution on YOUR website!

x = width x + 7 = length

x(x+7) = 170

x^2 + 7x - 170 = 0

(x + 17)( x - 10)

Therefore x = 10 as x = -17 no answer.

Width = 10 inches

Length = 17 inches

The Canal's price/earnings ratio is 2.92.

To calculate Canal's price/earnings ratio, we need to find the earnings per share (EPS) first. The EPS can be calculated by dividing the net income by the weighted average number of common shares outstanding.

The weighted average number of common shares outstanding can be calculated as follows:

Weighted average number of common shares outstanding = Total number of common shares - Weighted average number of treasury shares

Weighted average number of common shares outstanding = 24,200 - 4,200 = 20,000

EPS = Net income / Weighted average number of common shares outstanding

EPS = $260,000 / 20,000 = $13

Finally, the price/earnings ratio can be calculated by dividing the market price per share by the EPS:

Price/earnings ratio = Market price per share / EPS

Price/earnings ratio = $38 / $13 = 2.92

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Solution

For this case we need to remember that the point-slope formula is given by:

y= mx+b

And in order to find the slope we just need to have two points (x1,y1) and (x2,y2) and we can find m like this:

Then if we look at the graph we have two points:

x1= -2, y1= 3

x2= 0, y2= -1

And replacing we got:

And using the second point we can find the intercept

3= -2(-2)+b

b= 1

Our solution for this case :

y-3=-2(x+2)

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer and Step-by-step explanation:

The answer would be

CB ≅ AB

Because these parts of the shape match up and are proven congruent by CPCTC. And, if you were to look at the other pairs of sides given as answer choices, they don't look nearly the same.

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