It is assumed that approximately 15% of adults in the US. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not? Choose the correct answer below ○ A. O B. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent No, because the 100 adults were selected without replacement, the selections are dependent. No, because the probability of being right-handed is greater, x must count the number of right-handed adults. C. O D.

The cone’s radius r in terms of x is x + 7

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

Volume, V = 3πx^2 + 42πx + 147π

Height, h = 9

The volume of a cone is

V = 1/3πr^2h

Substitute the known values in the above equation, so, we have the following representation

1/3πr^2 * 9 = 3πx^2 + 42πx + 147π

So, we have

3πr^2 = 3πx^2 + 42πx + 147π

Divide by 3π

r^2 = x^2 + 14x + 49

So, we have

r = √(x² + 14x + 49)

Evaluate

r = x + 7

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A 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0. This implies that the system is inconsistent.

The goal of pivoting is to turn a leading one into a zero for an element that is above or below it.

A matrix's left-hand side element is referred to as the "pivot" or "pivot element" when you wish the components above and below it to be 0.

This element usually has a value of 1.

If and only if the echlon form of the augmented matrix designating the linear system of equations contains no row of the type, then the linear system is said to be consistent.

Given that, a 3 5 augmented matrix whose fifth column is a pivot column. that is [0, 0, 0, 0, c] where c is not equal to 0.

This implies that the system is inconsistent.

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Answer: Let's use x to represent the number of hours Kendra works as a babysitter, and y to represent the number of hours Kendra works providing tech support. Then, we can write the following system of inequalities to represent Kendra's goal:

10x + 15y >= 1000 (Kendra needs to earn at least $1000)

x + y <= 80 (Kendra can't work more than 80 hours in total)

To graph these inequalities, we can start by graphing the boundary lines for each inequality. To do this, we can rewrite each inequality as an equation and graph it as a line:

10x + 15y = 1000 (the boundary for the earnings inequality)

x + y = 80 (the boundary for the total hours inequality)

We can then shade the region that satisfies both inequalities (i.e. the region that is above the earnings line and below the total hours line). This shaded region represents all the possible combinations of hours that Kendra could work to meet her goal:

 |

80|          .

 |        .

 |      .

 |    .

 |  .

0|___________________

 0       50        80

  Babysitting Hours

In the graph, the shaded region is the triangular area bounded by the x-axis, the y-axis, and the line x + y = 80. The fewest number of hours Kendra could work and still meet her goal is the point where the earnings line intersects the total hours line within the shaded region. To find this point, we can solve the system of equations:

10x + 15y = 1000

x + y = 80

One way to solve this system is to use substitution. Solving the second equation for y, we get y = 80 - x. Substituting this expression for y into the first equation, we get:

10x + 15(80 - x) = 1000

Simplifying and solving for x, we get x = 40. Substituting this value for x into the second equation, we get y = 80 - 40 = 40.

Step-by-step explanation:

The value which represents the converted value Celsius to Fahrenheit is 38 Celsius is equal to 100.4 Fahrenheit.

        Celsius and Fahrenheit .

Conversion relation between the units of the temperature is written as:

(°C × 9/5) + 32 =°F

Substitute the value 38 Celsius to convert it into Fahrenheit we get,

(38°C × 9/5) + 32

= ( 342 / 5 ) + 32

= ( 68.4 ) + 32

= 100.4°F

Therefore, the required converted value of the Celsius to Fahrenheit is given by 100.4 Fahrenheit.

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In order to convert ounces to tablespoons(tbsp), we have to multiply the number of ounces by 2.

You can use a simple conversion factor of 2 tablespoons per ounce to convert ounces to tablespoons. So, to convert a certain number of ounces to tablespoons, you just need to multiply that number by 2. For example, if you have 4 ounces of liquid, you can convert it to tablespoons by multiplying 4 by 2, which gives you 8 tablespoons. This conversion is often used in cooking and baking recipes where ingredients may be measured in different units.

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The radical form of the exponential expression is given as follows:

[tex]\sqrt[4]{7}[/tex]

Hence the values of a and b are given as follows:

a = 7, b = 4.

The general format of the exponential expression is given as follows:

[tex]a^{\frac{n}{m}}[/tex]

To obtain the radical form, we have that:

Hence:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

Meaning that the equivalence for this problem is given as follows:

[tex]7^{\frac{1}{4}} = \sqrt[4]{7}[/tex]

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Arc length formula is L = ∫a^b √[1 + (dy/dx)^2] dx . The arc length of a curve is the length of the curve between two points, and it can be calculated using the arc length formula in calculus.

The arc length formula can be used to find the length of a curve in terms of the function that describes the curve.

The arc length formula is given by:

L = ∫a^b √[1 + (dy/dx)^2] dx

where L is the arc length of the curve, a and b are the endpoints of the curve, dy/dx is the derivative of the function that describes the curve with respect to x, and ∫ represents the integral of the function over the interval from a to b.

To use the formula, we first find the derivative of the function that describes the curve, dy/dx. Then we plug this expression into the arc length formula and integrate the expression over the interval from a to b to find the arc length of the curve.

The arc length formula is useful in many applications, such as physics, engineering, and geometry, and it allows us to find the length of a curve even when it is not a straight line.

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Forming linear equations, the cost of a t-shirt and a notebook will be $1 and $6 respectively.

What is a linear equation, exactly?

When the greatest power of a variable is 1, the equation is said to be linear. Another term for it is a one-degree equation. The standard form of a linear equation with one variable is Ax + B = 0. There are three variables in this equation: x, A, and B. A denotes a coefficient. A linear equation with only two variables is commonly written as Ax + By = C. There are three more constants in addition to the constant C: the variables x and y, the coefficients A and B, and the variables.

Now,

Given that

club A sold 2 t-shirts and 3 notebooks, and made $20.

Club B sold 2 t-shirts and 1 notebook, for a total of $8.

Let x and y be the cost of t-shirt and notebook respectively

then 2x+3y=20--->1

and 2x+y=8 --->2  will be the equations formed.

Now subtracting 2 from 1

we get 2x-2x+3y-y=20-8

2y=12

y=6

then  2x+6=8

x=1

Hence,

          the cost of a t-shirt and a notebook will be $1 and $6 respectively.

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Therefore , the solution of the given problem of parallelograms comes out to be ∠y = 62 degree.

A simple square with two sets of equal intervals is referred to as a parallelogram in Euclidean geometry. The opposite ends of a parallelogram, a special type of quadrilateral, were both straight and equal. There are four distinct parallelogram types, and two of them are exclusive of one another. The four different shapes are rhombuses, equilateral triangles, triangles, and rectangles. A quadrilateral is a parallelogram if it has two pairs of parallel sides.

Here,

Given :

A  parallelogram ABCD and a triangle AED

So,

To find angle y:

∠D + 118 = 180

=> ∠D = 180 -118

=>∠D= 62 Degree

So,

According to alternate interior angle :

∠D= ∠y

=> 62 = ∠y

Thus ,∠y = 62 degree.

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Answer:

F  = (9/5)C  + 32 is a function because every Celsius temperature is associated with only one Fahrenheit temperature.

hope this helps!!

Answer:

Look at the screenshot

Step-by-step explanation:

A trigonometric identities calculator is an online tool that helps you simplify or prove trigonometric identities using various trigonometric formulas and rules.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.

The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.

Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.

Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance

Trigonometric identities are equations that involve trigonometric functions and are true for all values of the variables involved. These identities are used to simplify expressions involving trigonometric functions, and can be helpful in solving trigonometric equations and evaluating trigonometric functions.

Trigonometric identities calculators can be helpful for students studying trigonometry, as well as for professionals who use trigonometric functions in their work. These calculators typically allow you to enter the trigonometric expression or equation you want to simplify or prove, and then apply various trigonometric identities and rules to arrive at the final result.

There are many online trigonometric identities calculators available that can be accessed for free, including some that provide step-by-step solutions to help you understand how the identities are being applied.

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Answer:

Step-by-step explanation:

-2-6-20

Answer:

Below

Step-by-step explanation:

4 out of 9 are not broken    first bar not broken chance is then 4/9

  now there are   8 bars left and 3 are not broken    so for the second bar thee is a 3/8 chance of not being broken

4/9 * 3/8 = 12/72 =   1/6

Answer:

it's below because

Step-by-step explanation:

1/6 !!!!!!!!!!!!!!

As a result, 23.2 x 0.14 equals 3.248.

One of the four fundamental math processes, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual adding of sets of identical size.

To multiply 23.2 and 0.14,

  23.2

x 0.14

---------

  32.48   (0.2 x 0.14 = 0.028, write down 8 and carry over 2)

+ 232.0   (3 x 0.14 = 0.42, add carried over 2 to get 4, write down 0 and carry over 4)

--------

 3.248   (the final answer)

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A box plot is a graphical representation of data that is based on (c) a five number summary

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

Statement: a box plot is a graphical representation of data that is based on__

A box plot (also called a box-and-whisker plot) is a way to display the distribution of a dataset.

It shows the median, quartiles, minimum, and maximum values of the data.

These items are referred to as the five number summary

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The area of the shaded region is 435.375 mm². The solution has been obtained by using the concept of area of figure.

What is area?

Area is the amount of space a two-dimensional figure takes up. The standard unit of area is the square, which is typically expressed as square inches, square feet, etc.

We are given an area of a square with a quarter circle outlined on it.

Area of shaded region = Area of square - area of quarter circle

So, using this, we get

⇒Area of shaded region = (45 * 45) - 1/4π (45 * 45)

⇒Area of shaded region = 2025 - 506.25π

⇒Area of shaded region = 2025 - 506.25 * 3.14

⇒Area of shaded region = 2025 - 1589.625

⇒Area of shaded region = 435.375 mm²

Hence, the area of the shaded region is 435.375 mm².

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Since, there are multiple questions so, the question answered above is attached  below

Answer:

75.4 (rounded)

Step-by-step explanation:

V= πr² h/3

V= π x 3² x 8/3

 = 75.3982236862

If you need any more help just ask :)

Step-by-step explanation:

u are going to multiply 5 and 10 and the get the answer ad write as a cubic root

The percentage of completion method is a widely used accounting method to recognize revenue and expenses over the life of a long-term project or contract.

It is primarily used in construction, real estate, and other industries that undertake large projects that span over extended periods. The method estimates the percentage of work completed, and then assigns that percentage of revenue and expenses to that period.

Under the percentage of completion method, revenue and expenses are recognized proportionally to the progress of the project, and the calculation is based on the cost incurred to date relative to the total estimated cost of the project.

This method is advantageous because it allows for more accurate financial statements that reflect the actual progress and costs of the project.

Overall, the percentage of completion method provides a more accurate representation of the financial position of long-term projects and contracts, and is therefore an essential tool for companies in industries that undertake such projects.

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The number 20 can be represented as a decimal by simply writing it as 20.0 or 20.00

The number 20 can be represented as a decimal by simply writing it as 20.00 or 20.000 This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.

In this case, since 20 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.

Alternatively, we can also represent 20 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 20 divided by 1 equals 20, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:

20 ÷ 1 = 20.000000... (with the decimal places repeating indefinitely)

However, in most cases, it is sufficient to represent 20 as 20.0 or 20.00, since these notations convey that the number has no fractional part.

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x² −20x+100

Explanation

You have to factor the expression in order to get your answer.

Do this by expanding out the expression: (x-10)(x-10).

Then factor by multiplying each of the components! Use the FOIL acronym to help you. FOIL stands for First, Outer, Inner, Last. Meaning multiply the first numbers of the expressions together, then the outers, then the inner two numbers, then the last two numbers of the expression.

Multiply x and x to get x² multiply x and -10 to get -10x, multiply -10 and x to get -10x, multiply -10 and -10 to get 100. Add them all together: x² −10x−10x+100 . Then combine like terms.

here.

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

The point-slope form of an equation of a line is given by:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line

m is the slope of the line.

We can use the given point (−5,−2) as (x1,y1)

Choose any value for the slope m to write the equation of the line in point-slope form.

For example:

Option 1:

Let's choose the slope m to be 2.

Then the equation of the line becomes:

y - (-2) = 2(x - (-5))

Simplifying the equation:

y + 2 = 2(x + 5)

Option 2:

Let's choose the slope m to be -3.

Then the equation of the line becomes:

y - (-2) = -3(x - (-5))

Simplifying the equation:

y + 2 = -3(x + 5)

Either option is valid and correctly written in point-slope form using the point (−5,−2) as (x1,y1).

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Answer:

$18.27 an hour

Step-by-step explanation:

To figure out how much $38,000 a year is as an hourly wage, divide $38,000 by 40 hours and 52 weeks. So if you were to work full-time, 40 hours a week, making $38,000 a year, you would earn $18.27 an hour.

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

From the series, it can be deduced that the sum of the first two terms will be 18.

From the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Expressing T2 in terms of S, and S2 will be T2 = S + S2.

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The correct options for the inequality y ≥ -2x + 3 are:

Here we have the next inequality:

y ≥ -2x + 3

First, we can see that the symbol "≥" is used, then the points on the line are solutions, and thus, the line must be a solid line.

Also, y is larger or equal than that, so we need to shade the region above.

Finally, the line is y = -2x + 3

So the slope is -2 and the y-intercept is 3.

These are the characteristics of the inequality

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What is Midsegment Theorem ?

The Midsegment Theorem, also known as the Midline Theorem or the Triangle Midsegment Theorem, states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half its length.

Explanation:
Here is the complete flowchart with the missing statements and reasons filled in:

Statement 1: Measure of angle ADE is 68 degrees.

Reason 1: Given.

Statement 2: Measure of angle DAE is 90 degrees.

Reason 2: Definition of right angle.

Statement 3: Measure of angle AED is 22 degrees.

Reason 3: Angle sum of triangle ADE is 180 degrees.

Statement 4: Segment DE joins the midpoints of segment AB and AC.

Reason 4: Given.

Statement 5: Segment DE is parallel to segment BC.

Reason 5: Midsegment theorem.

Statement 6: Angle ECB is congruent to angle AED.

Reason 6: Corresponding angles formed by parallel lines.

Statement 7: Measure of angle ECB is 22 degrees.

Reason 7: Substitution property.

So, statements 3 and 6, and reasons 3 and 6, respectively, can be used to fill in the blank spaces numbered 3 and 6, and statement 5 and reason 5 can be used to fill in the blank spaces numbered 4 and 5. Finally, statement 7 and reason 7 can be used to fill in the blank space numbered 7.

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