Find the largest angle of A PAM if m = 22in, p = 16in, a = 9in. Round to the nearest hundredth.

The probability that the standard normal deviation variable z is greater than 2.13 is approximately 0.017.

What is standard normal deviation?

The standard normal deviation is a normal distribution with a mean of 0 and a standard deviation of 1. It is also referred to as the standard normal distribution or the z-distribution.

Standardizing a normally distributed variable involves transforming it into a standard normal variable by subtracting the mean of the original distribution from each value and dividing the result by the standard deviation. This transformation is known as standardization or normalization.

According to the question:

Yes, you can use the "normcdf" function on a TI-84 calculator to find the probability that the standard normal deviation variable z is greater than 2.13. Here's how:

Press the "2nd" button, then the "Vars" button to access the DISTR menu.

Scroll down to "2: normalcdf(" and press ENTER.

Enter the lower limit as -9999 (or any number much smaller than -2.13) since we want to find the probability to the right of 2.13.

Enter the upper limit as 2.13.

Enter the mean as 0 and the standard deviation as 1 since we are working with a standard normal distribution.

Press ENTER to get the probability.

The result should be approximately 0.01744. Rounding to three decimal places, we get:

P(z > 2.13) ≈ 0.017.

Therefore, the probability that the standard normal deviation variable z is greater than 2.13 is approximately 0.017.

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Answer:

Step-by-step explanation:

Area of semi circle is 1/2 (πr²)

1/2 (3.14×6²)

56.52 unit²

The scaling factors need not be the same, and this transformation scales the x-axis by a different factor than the y-axis, resulting in a non-uniform scaling.

What is Transformation axes ?

Transformation axes refer to the new coordinate axes after a transformation is applied to a given set of coordinates or points.

The transformation (x, y) → (2x, 3y) is a linear transformation that stretches the x-coordinate by a factor of 2 and the y-coordinate by a factor of 3, while keeping the origin fixed.

This transformation is an example of a scaling transformation, where the scale factor along the x-axis is 2 and along the y-axis is 3.

Visually, this transformation will stretch out the graph horizontally and vertically, making objects appear larger or smaller depending on their position relative to the x and y axes.

Therefore, The scaling factors need not be the same, and this transformation scales the x-axis by a different factor than the y-axis, resulting in a non-uniform scaling.

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Answer:

The length of the garden would be 480 ft and the width would be 320 ft.

Step-by-step explanation:

Correct order of steps for constructing an angle bisector of ∠DEF using only a straightedge and compass is option C.

A angle bisector is a line that bisects an angle into two equal angles. A bisector means dividing a shape or object into two equal parts. When we draw a ray that bisects an angle into two equal parts of equal magnitude, it is called a bisector.

Given,

Compass and straightedge to draw angle bisector of ∠DEF

Steps to draw angle bisector are:

1. Draw a circle with a radius less than DE and center E, and label

the points of intersection G and H.

2. Draw a line from point G to point H.

3. Draw a circle with radius GH and center G and another circle

with radius GH and center H, and then draw an equilateral triangle.

4. Use a straightedge to connect E to the rightmost vertex of the

equilateral triangle.

Hence, option C describes correct order of constructing an angle bisector of ∠DEF using only a straightedge and compass.

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Answer:

16 1/4

Step-by-step explanation

Answer:

9.4ft²

Step-by-step explanation:

The formula for the area of a rectangle is base*height, or b*h.

Since we know the final area of the room and one of the side lengths, we can plug those into the formula I just stated so that we get

15*h=141

All that's left to do is solve for h, which is the other side that we are solving for. To do this, we will divide 15 on both sides:

15h/15=141/15

The 15s on the left side cancel out, and we simply divide 141 by 15 to get our final answer of 9.4ft².

The value of x is 4/3

The perimeter of a figure is the total sum of the length of all its external sides or boundary.

Given that the rectangle and triangle have the same perimeter, then;

perimeter of the rectangle = 2 (length + width)

                                        = 2[(x + 3) + (x -2)}

                                       = 2(x + 1)

                                       = 2x + 2

perimeter of the triangle = (2x - 2) + (2x - 3) + (x + 3)

                                        = 5x - 2

So that,

perimeter of rectangle = perimeter of triangle

2x + 2 = 5x - 2

2 + 2 = 5x - 2x

4 = 3x

x = 4/3

The value of x is 4/3.

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Answer is 2

(Nice dog btw)

The sum of 1+1 is equal to 2. When we add 1 to another 1, we are combining or grouping the two quantities, resulting in a total of two. This is a fundamental concept in mathematics, and the process of addition is used to solve a wide range of problems.

Answer:

3 Burrito Bowls

Step-by-step explanation:

32.46 - 12.96 = 19.5

6.5 x 3 = 19.5, so 3 bowls

Answer:

the customer ordered 3 burrito bowls

Step-by-step explanation:

32.46=6.5x+12.96

-12.96 -12.96

19.5=6.5x

3=x

x=# of burrito bowls ordered

Answer:

Step-by-step explanation:

6^8 x 6^10 = 6^(8+10) = 6^18

Answer:

18

Step-by-step explanation:

a^x times a^y = a^x+y

Therefore, 6⁸×6¹⁰ -----> 8+10 = 6¹⁸

Answer would be shifted up

Step-by-step explanation:

hence the +9 you would be going up 9 units :)

Answer:

Step-by-step explanation:

The diameter of the circle is twice the length of the radius, so we can write:

2r = d

where r is the radius and d is the diameter.

Substituting the given diameter of 11 4/5 ft, we get:

2r = 11 4/5 ft

To find the length of the radius, we can divide both sides by 2:

r = (11 4/5) / 2

r = 5 9/10 ft

We also know that the length of the radius is z + 3.6, so we can set up the equation:

z + 3.6 = 5 9/10

Subtracting 3.6 from both sides, we get:

z = 5 9/10 - 3.6

z = 2 3/10

Therefore, the value of z is 2 3/10 or 2.3 as a decimal.

Answer: The correct answer is 2.3

Step-by-step explanation: Answer confirmed correct on test so no worries

The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

A square is a shape that we frequently encounter in our daily lives. Illustrations of square shapes that are frequently used include chess pieces, clock hands, picture frames, pizza boxes, coasters, computer keys, etc.

In the bathroom, Robert is paving the floor.

The area of each square-shaped tile is 120.5 square inches.

Area = side²

side = √Area

side = √120.5

side = 10.97 in

side = 11 in (approx)

The measurement that, in inches, comes closest toward the length equal of a square tile is: 11 in.

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According to the given composite function the correct answer is , (g o h)[tex](n/2) = 8n^2 + 42n + 35.[/tex]

What is a composite function?

A composite function is a function that is formed by combining two or more functions. It is obtained by taking the output of one function and using it as the input of another function.

Suppose we have two functions, f(x) and g(x). The composite function of f and g, denoted by f o g, is defined as:

(f o g)(x) = f(g(x))

In words, this means that we apply the function g to the input x, and then we apply the function f to the output of g. The result is a new function that combines the effects of both f and g.

For example, if we have [tex]f(x) = x^2[/tex] and g(x) = 2x + 1, then the composite function f o g is:

[tex](f o g)(x) = f(g(x)) = f(2x + 1) = (2x + 1)^2 = 4x^2 + 4x + 1[/tex]

The composite function f o g takes an input x, applies g to it to get 2x + 1, and then applies f to that to get [tex]4x^2 + 4x + 1[/tex] as the final output.

To compute (g o h)(n/2), we need to first evaluate h(n/2) and then substitute the result into g(n) in place of n.

So, first we evaluate h(n/2):

h(n/2) = 4(n/2) + 5 = 2n + 5

Now we substitute this expression into g(n):

[tex]g(h(n/2)) = 2(h(n/2))^2 + h(n/2)[/tex]

[tex]= 2(2n + 5)^2 + (2n + 5)[/tex]

[tex]= 2(4n^2 + 20n + 25) + 2n + 5[/tex]

[tex]= 8n^2 + 42n + 35[/tex]

Therefore, [tex](g o h)(n/2) = 8n^2 + 42n + 35.[/tex]

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The solutions to the equation x²= -8x - 7 are x = -1 or x = -7.

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

To complete the square for this equation x^2 = -8x - 7

Adding the square of half the coefficient of x (which is (-8)/2 = -4) to both sides of the equation:

x² + 8x + (-4)²= -7 + (-4)^2

This gives us:

x² + 8x + 16 = 9

Now we can write the left-hand side as a perfect square:

(x + 4)² = 9

Taking the square root of both sides gives us:

x + 4 = ±3

Solving for x, we get:

x = -4 ± 3

Therefore, the solutions to the equation x²= -8x - 7 are: x = -1 or x = -7.

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The required, there is a 20% increase from 55 employees to 66 employees.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

To calculate the percentage increase from 55 employees to 66 employees, we need to find the difference between the two numbers, divide that difference by the original number, and then multiply by 100 to convert the result to a percentage.

The difference between 66 and 55 is 11.

So, the percentage increase is:

(11/55) x 100% = 20%

Therefore, there is a 20% increase from 55 employees to 66 employees.

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The question seems to be incomplete, the complete question is shown below,
55 employees to employees 66​, calculate the percentage increase?

The exponential function is an exponential growth.

The general exponential function is:

f(x) = a*(b)^x

Where a is the initial value and b is the base, if:

b > 1 then it is a growth.

0 < b < 1 then it is a decay.

In this case, b = 1 + r

Where r is the growth rate, in this case is 6%, writting it as a decimal we get:

b = 1 + 6%/100% = 1.06

It is larger than 1, so this is a growth.

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Answer:

28

Step-by-step explanation:

you add up all the numbers and divide by the number of numbers there is

16+50+14+20+40=140

140/5=28

The next number is 47, 1, and 27  in the sequence.

A number series is a sequence of numbers. To answer the questions regarding number series, we must first establish the rules that lead to the production of a number series.

The reverse of 63 is 36.

The sum of the digits of 63 is 6 + 3 = 9.

So, the following number is 36 + 9 = 45, followed by the next odd number, 47. Hence the following number is 47.

The reverse of 00 is 00.

The sum of the digits of 00 is 0 + 0 = 0.

So, the following number is 0 + 0= 0, followed by the next odd number, 0. Hence the following number is 0.

The reverse of 22 is 22.

The sum of the digits of 22 is 2 + 2 = 4.

So, the following number is 22 + 4 = 26, followed by the next odd number, 27. Hence the following number is 27.

Therefore, the next number is 47, 1, and 27  in the sequence.

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Therefore , the solution of the given problem of unitary method comes out to be amount billed to the client.

To finish the job using the unitary technique, the equation from this nano section should be multiplied by two. In essence, when a wanted object is present, both the characterised by either a group and the pigment sections are omitted from the unit method. A variable fee of Inr ($1.01), for instance, would be paid for 40 pens. It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.

Here,

$3,300 is debited from Accounts Payable - Client's Name.

Credit: $3,300 in revenue

This shows the revenue earned by the law company for the job done and records the increase in accounts receivable for the amount billed to the client.

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intercept - means to cross through

answer = a - the graph crosses the x=axis

The solution to the variable x is 60/7

From the question, we have the following parameters that can be used in our computation:

The similar polygons

The scale factor from the big to the small polygon is represented as

Scale factor = 5/7

Using the above as a guide, we have the following:

x = 12 * 5/7

Evaluate

x = 60/7

Hence, the solution is 60/7

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The differential of the function is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

From the question, we have the following parameters that can be used in our computation:

y= 4x^(3/2)+x^(1/2)

Using the first principle of differentiation, we have

dy/dy = 3/2 * 4x^(3/2 - 1) + 1/2 * x^(1/2 - 2)

Evaluate the expressions

dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

Hence, the solution is dy/dy = 6x^(1/2) + 1/2x^(-1 1/2)

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In response to the aforementioned query, we may say that The loan's interest future value is $8640 as a result.

By dividing the principal by the interest rate, the passage of time, and other factors, simple interest is determined. Simple return equals principle plus interest plus hours is the formula used in marketing. The easiest way to compute interest is by using this method. The most typical method for calculating interest is as a portion of the principle amount. For example, if he borrows $100 from a buddy and agrees to pay back the loan at 5% interest, he will only pay his share of the 100% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and you must charge interest when you lend it. Typically, interest is determined as an annual percentage of the loan total. The loan's interest is the name given to this percentage.

Interest is calculated as follows: Principal x Interest Rate x Time

where Principle represents the loan amount, Rate is the interest rate, and Time represents the loan's term in years. We may enter the figures since the loan is for 9 months, or 0.75 years:

Interest: $540 ($8000 x 0.09 x 0.75);

As a result, the student is required to pay interest of $540.

b. The following formula can be used to determine the loan's future value:

Principle x (1 + Rate x Time) = Future Value

where the same values for Principle, Rate, and Time apply as in section a. When we enter the values, we obtain:

Future Value = $8000 x (1 + 0.09 x 0.75), which is $8640.

The loan's future value is $8640 as a result.

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The simplified form of the given expression is 1. Using the trigonometric functions sin b = 7/25.

The Pythagorean identity is a trigonometric identity that relates the values of sine and cosine of an angle in a right triangle.

a)Given cos(b) = 24/25, we can use the Pythagorean identity to find sin(b):

sin(b) = √(1 - cos²(b))

         = √(1 - (24/25)²)

         = √(1 - 576/625)

         = √(49/625)

         = 7/25

Now we can use the definitions of the trigonometric functions to find the remaining values:

cos(b) = 24/25

sin(b) = 7/25

tan(b) = sin(b)/cos(b) = (7/25)/(24/25) = 7/24

csc(b) = 1/sin(b) = 25/7

sec(b) = 1/cos(b) = 25/24

cot(b) = 1/tan(b) = (24/7)

b) By simplifying the given expression using the identity:

[tex]tan x = sin x / cos x[/tex]

[tex]cos x+sinxtanx=cosx+sinx(sinx/cosx)[/tex]

By multiplying through by cos x,

cos² x + sin x sin x = cos² x + sin²x

Using the identity sin² x + cos² x = 1,

cos² x + sin² x = 1

cos x + sin x tan x = 1

The simplified form of the given expression is 1.

c) tan²α(csc²α-1)=1 for all values of α where csc α ≠ 0.

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your given information is important because your first piece of info is the y intercept. The y intercept can be interpreted as (0,2). this is your initial point.

once you have that point, you can then use the slope to finish off your linear function. the slope is rise/run.

this means that you have to travel in the y direction, which is your rise. this means you have to go either in the positive or negative, depending on the number. in this case, it's -6, so we would go down 6.

then we would run 5 units in the x direction and same like the x it would be depending on the number being positive or negative. since we have a +5 it means we have to move 5 units to the right should have a graph that looks like a (\).

hope it helps.

Therefore, using the rule of 72, it would take approximately 9 years for Sofia's $18,000 investment to double at a rate of 8% in interest.

Percent is a term used to describe a value that is a fraction of 100. It is often represented by the symbol "%".  Percentages are commonly used to express rates, ratios, and proportions in many fields, including finance, science, and everyday life. They are often used to describe changes in value, such as increases or decreases in prices, population, or other quantities over time.

Here,

The rule of 72 is a simple formula used to estimate the time it takes for an investment to double in value based on its rate of return. To use this rule, divide 72 by the annual percentage yield (APY) to get an estimate of the number of years it would take for the investment to double.

In this case, the APY is 8%, so we can apply the rule of 72 as follows:

Number of years to double = 72 / APY

= 72 / 8

= 9 years

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The surface area is obtained by adding 1,105.28 + 200.96 + 200.96.

What does surface area mean?

The area is the region that any two-dimensional object occupies in a plane. The term "surface area" refers to the size of any body's external surface.

Surface area and volume are calculated for any three-dimensional geometrical shape.

The surface area of any given object is the area or region occupied by the surface of the object.

Whereas volume is the amount of space available in an object.

The surface area will be calculated as:-

SA = 1,105.28 + 200.96 + 200.96.

SA = 1507.2

Thus, the surface area is calculated as 1,105.28 + 200.96 + 200.96.

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Answer:

the answer is multiply (200.96)(22)

Step-by-step explanation:

you have to multiply.

B] Ans ~

Given:-

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \small{ \star{ \boxed{ \rm{ \red{Volume \: of \: solid \: = lwh}}}}}[/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps! :)