A large parallelogram is divided into four small parallelograms as shown. The areas of three of the four small parallelograms are labeled in the diagram. What is the area of the remaining small parallelogram

The correct null hypothesis in the given situation is:

(A) H0: p = 0.27; Ha: p > 0.27

Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

For instance, any discrepancy between the average profits in the data and zero is caused by chance if the expected earnings for the gambling game are actually equal to zero.

So, the population proportion serves as the parameter.

The American Academy of Periodontology found that 27% of US individuals admit to lying to their dentist about how frequently they floss their teeth.

So, the following is the null hypothesis:

H0: p = 0.27

Dr. Garcia, a periodontist, thinks that the percentage should be higher than 27% since he feels it is too low.

Consequently, the competing theory is:

H0: p > 0.27

Therefore, the correct null hypothesis in the given situation is:

(A) H0: p = 0.27; Ha: p > 0.27

Know more about the null hypothesis here:

https://brainly.com/question/4436370

#SPJ4

Complete question:

The American Academy of Periodontology released a survey, revealing that 27% of US adults admit they lie to their dentist about how often they floss their teeth. Periodontist Dr. Garcia believes that the percentage seems low, so he decides to conduct his own hypothesis test to determine the true proportion. What should he write as the null and alternative hypotheses for this situation?

Answer Options:

A: H0: p = 0.27; Ha: p > 0.27

B: H0: p = 0.27; Ha: p < 0.27

C: H0: p = 0.27; Ha: p ≠ 0.27

D: H0: μ = 0.27; Ha: μ > 0.27

E: H0: μ = 0.27; Ha: μ < 0.27

Answer:

c

Step-by-step explanation:

given f(x) then f(x) + c is a vertical translation of f(x)

• if c > 0 then a shift up of c units

• if c < 0 then a shift down of c units

here the red graph is i unit above the black graph , then c = + 1

and equation is

y = f(x) + 1 ( subtract 1 from both sides )

y - 1 = f(x)

x = 14000

y = 28000

z = 12000 units of each product were sold.

Solving this with the help of equation.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

Let, x, y and z are the three types of products.

In one year, the total revenue for the three products was $1,100,000, which corresponded to the sale of 54,000 units.

Thus, 30x + 20y + 10z = 1,100,000 ............ (i)

x + y + z = 54000 ............... (ii)

The company sold half as many units of the $30 product as units of the $20 product, so, x = y/2

putting this in equation (i)

thus, 30x + 20 (2x) + 10z = 1,100,000

70x + 10z = 1100000 ......... (iii)

next putting the value of y = 2x in equation (ii) we get -

3x + z = 54000......... (iv)

Solve this two equation we get -

40x = 560000

or, x = 14000

now, y = 2x = 28000

z = 54000 - 3(14000)

z = 12000

Now, x = 14000

y = 28000

z = 12000 units of each product were sold.

To know more about equation refer to:

brainly.com/question/22688504

#SPJ4

The units of each three types of product sold are 14000, 28000, and 12000 using equations.

Algebraic equations simply state the equivalence of two mathematical terms in a mathematical statement. For instance, the equation 6x + 5 = 11 has the two expressions 6x + 5 and 11 separated by the 'equal' sign.

The two forms of equations are identity equations and conditional equations. For just any value of both variables, equality remains true.

Let, x, y and z are the three types of products.

The three items generated a combined $1,100,000 in revenue in a calendar year, which is equal to the sale of 54,000 units.

30x + 20y + 10z = 1,100,000 ............ (i)

x + y + z = 54000 ............... (ii)

The company sold half as many units of the $30 product as units of the $20 product, so, x = y/2

Putting this in equation (i)

Thus, 30x + 20 (2x) + 10z = 1,100,000

70x + 10z = 1100000 ......... (iii)

Next putting the value of y = 2x in equation (ii) we get -

3x + z = 54000......... (iv)

Solve these two equation we get -

40x = 560000

Or, x = 14000

Now, y = 2x

= 28000

z = 54000 - 3(14000)

z = 12000

Now, x = 14000

y = 28000

z = 12000

These units of each product were sold.

To know more about equation refer to:

brainly.com/question/22688504

#SPJ4

Answer:

f(x) = |x| g(x) = |3x - 7| f(x) = |-x + 9|

D. No; a rectangle may have diagonals that are not perpendicular.

Therefore, the supplied variable problem's solution is found to be quantitative.

A variable is a quality that may be measured and take on several values. A few examples of variables are height, age, salary, province of birth, school grades, and kind of dwelling.

Here,

Quantitative variables are numerical variables, whereas categorical/qualitative variables assign the people into a category.

Because the length is quantified by numbers, it is (a) quantitative (such as 200 ft).

So , by observing the following information we can conclude that it is quantitative.

As a result, it is quantitative.

Therefore, the supplied variable problem's solution is found to be quantitative.

To know more about variable , visit

brainly.com/question/29583350

#SPJ4

The complete question is " All highway bridges in the United States are inspected periodically for structural deficiency by the Federal Highway Administration (FHWA). Data from the FHWA inspections are compiled into the National Bridge Inventory (NBI). Several of the nearly 100 variables maintained by the NBI are listed below. Classify and explain each variable as a) quantitative or qualitative; b) discrete or continuous; and c) by level of measurement. (10 points)

Route type (interstate, U.S., state, county, or city)

Length of maximum span (feet)

Number of vehicle lanes

Bypass or detour length (miles)

Condition of deck (good, fair, or poor)

Average daily traffic

Toll bridge (yes or no)"

Answer:

Step-by-step explanation:

Look at the input and apply the rule. For example, if the rule is "Subtract 5" and the input is 9 then you subtract 5 from 9 to get 4, and 4 is the output. Let's take a look at some examples:

Answer:

the answer is 45 cm^2

how many questions are left lol

Probability is the branch of mathematics dealing with numerical descriptions of how likely a situation is to occur, or how likely it is that a proposition is true.

An expression for the probability of an event.

Probability of an event = Required number of event / Total number of possible events

Required number of events = 84

Total number of events = 320

Find the probability that both customers selected without replacement say service is poor.

customers say service is poor = 84 / 320

customer selected without saying service is poor= 83 / 319.

The final probability is: 84 ÷ 320 ×83 ÷ 319.

      = 6972 ÷ 201080

     = 1743 ÷ 25520

To know more about Probability:

https://brainly.com/question/30034780

#SPJ4

Based on mathematical operations, Emmet's score at the end of Level 1 of the Digging Up Dinos video game was -3.

The basic mathematical operations include addition, subtraction, division, and multiplication.

These mathematical operations manipulate variables, values, numbers, and constants, including mathematical operands and the equal symbol, to solve mathematical problems.

In this situation, the 17 points Emmet lost are subtracted from the 14 points that he gained to arrive at the final score at Level 1.

The number of points earned in Level 1 = 14

The number of points lost in Level 1 = 17

The net points at the end of Level 1 = -3 (14 - 17)

Thus, the subtraction operation shows that Emmet lost 3 more scores than he gained during Level 1.

Learn more about mathematical operations at https://brainly.com/question/4721701

#SPJ1

The radius of the cone is , r = √(154 cm²/π) cm and the slant height is

L = √( 154 /π+ h²) cm.

To find the radius and slant height of the cone, we can use the formula for the total surface area of a cone, which is πr² + πrL, where r is the radius, L is the slant height, and π is pi.

Given that the curved surface area of the cone is 2/3 of its total surface area, we know that the total surface area of the cone is 462 cm², and the curved surface area is (2/3) * 462 cm² = 308 cm².

The formula for the curved surface area of a cone is πrL, where r is the radius, and L is the slant height.

So we know that:

πrL = 308 cm²

We also know that:

πr² + πrL = 462 cm²

Now we can solve for the radius and slant height of the cone by substituting the first equation into the second equation and solving the system of equations.

πrL = 308 cm²

πr² + πrL = 462 cm²

πr² = 462 cm² - 308 cm²

πr² = 154 cm²

r² = 154 cm²/π

Solving for r

r = √(154 cm²/π) cm

Now we can use the radius to find the slant height, by using the formula of slant height L = √(r² + h²) where h is the height of the cone.

Given that we do not have the height of the cone provided, we can't solve for the slant height.

Learn more about the total surface area and curved surface area of a cone,

https://brainly.com/question/15153049

https://brainly.com/question/27987869

Step-by-step explanation:

the curved surface area is 2/3 of 462 cm².

462 × 2/3 = 308 cm²

that leaves 1/3 of 462 cm² for the base area, a circle.

462 × 1/3 = 154 cm²

the area of a circle is pi×r²

so, in our case

pi×r² = 154

r² = 154/pi

radius = r = sqrt(154/pi) = 7.001408606... cm

the slant height l

l = sqrt(r² + h²)

with h being the internal height.

to get l we have the total surface area A

A = pi×r(r + sqrt(h² + r²)) = pi×r(r + l)

A/(pi×r) = r + l

l = A/(pi×r) - r = 462/(pi×7.001408606...) - 7.001408606... =

= 14.00281721... cm

This question is based on the concept of congruent. Therefore, the correct option is C, i.e. DA ≅ BC.

A quadrilateral is a closed form that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The total of quadrilateral inner angles is always 360 degrees. A quadrilateral is a closed shape with four sides. These are quadrilateral figures: Raphael was used to create this. A quadrilateral form. The form contains only one pair of parallel sides and no right angles. A quadrilateral has four straight sides and is a two-dimensional form. Examples of quadrilaterals include parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

Here,

Given:

In quadrilateral ABCD, the diagonals intersect at point T.

By the alternate interior angles theorem :

Angle DAC is congruent  to angle BCA and

angle ADB is congruent to angle CBD

Definition of  alternate interior angles theorem:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , then  resulting alternate interior angles are congruent .

In given quadrilateral ABCD,

DAC ≅  BCA

ADB ≅  CBD

And to prove that  ATD ≅ CTB,

Then,

DA ≅ BC

Therefore, the correct option is C, i.e. DA ≅ BC.

The idea of congruence lies at the heart of this question. As a result, the right answer is C, which is DA ≅ BC.

To know more about quadrilateral,

https://brainly.com/question/20178266

#SPJ4

This question is based on the concept of congruent. Therefore, the correct option is C, i.e. DA ≅ BC.

A quadrilateral is a closed form that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The total of quadrilateral inner angles is always 360 degrees. A quadrilateral is a closed shape with four sides. These are quadrilateral figures: Raphael was used to create this. A quadrilateral form. The form contains only one pair of parallel sides and no right angles. A quadrilateral has four straight sides and is a two-dimensional form. Examples of quadrilaterals include parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

Here,

Given:

In quadrilateral ABCD, the diagonals intersect at point T.

By the alternate interior angles theorem :

Angle DAC is congruent  to angle BCA and

angle ADB is congruent to angle CBD

Definition of  alternate interior angles theorem:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , then  resulting alternate interior angles are congruent .

In given quadrilateral ABCD,

DAC ≅  BCA

ADB ≅  CBD

And to prove that  ATD ≅ CTB,

Then,

DA ≅ BC

Therefore, the correct option is C, i.e. DA ≅ BC.

The idea of congruence lies at the heart of this question. As a result, the right answer is C, which is DA ≅ BC.

To know more about quadrilateral,

https://brainly.com/question/13805601

#SPJ4

The seven basic SI units are second, meter, kilogram, candela, ampere, mole, kelvin.

The 11th General Conference on Weights and Measures created the International System of Units, or "Système International d'Unités," in 1960. Older systems, like the Imperial system used in the UK and many other countries, were not all that simple to manage or operate, and none were globally standardized. The seven base quantities of what is now known as the International System of Quantities are defined by the International System of Units (SI) as having standard units of measurement. In particular, they comprise a fundamental set from which all other SI units can be formed.

Learn more about SI units here:

https://brainly.com/question/10865248

#SPJ4

Answer:

1 i think 2 if not

Step-by-step explanation:

By using a trigonometric relation, we will see that the hypotenuse of the right triangle is:

x = 22

We want to find the value of x on the right triangle.

Notice, it is the hypotenuse of the right triangle.

We know one angle on the triangle, and also the adjacent cathetus, then we can use the trigonometric relation:

cos(a) = (adjacent cathetus)/hypotenuse

We can replace the known values to get:

cos(30°) = 11*√3/x

(√3)/2 = 11*√3/x

Now we can solve this for x.

Dividing both sides by √3 we get:

1/2 = 11/x

x/2 = 11

x = 2*11

x = 22

Learn more about right triangles by reading:

https://brainly.com/question/30233803

#SPJ1

Answer:

2√(13)= 7.21

Step-by-step explanation:

The formula for Pythagoras' theorem is a² + b² = c². In this equation, c is the longest side of a right-angled triangle. This line is also known as the hypotenuse. A and b represent the other two sides of the triangle.

so h = √(6²+4²) = 2√(13)= 7.21 (approximately)

Answer:

y = 6x

Step-by-step explanation:

In the table, for every x value, the y value is that number multiplied by 6.

For example:

x = 1

y = 6

And:

x = 8

y = 48

Answer: it is a transporter or conveyer in english. Used for transporting goods

Step-by-step explanation:

So the probability that the system fails is 41% if the probability that each component fails is 0.1 and different components fail independently of one another.

The probability that the system fails is the probability that even one of the 5 components fails. Since the components fail independently of one another, we can use the probability of failure for each component and multiply it by the number of components to find the probability that the system fails.

The probability that the system fails is:

1 - (1 - probability of failure of one component)^(number of components)

Given that the probability of failure of each component is 0.1, the probability that the system fails would be:

1 - (1 - 0.1)^5 = 1 - 0.59 = 0.41 or 41%

So the probability that the system fails is 41% if the probability that each component fails is 0.1 and different components fail independently of one another.

To learn more about Probability

visit; brainly.com/question/30034780

#SPJ4

Answer:

16 peices

Step-by-step explanation:

52/3.25 = 16

The circle's actual diameter is given as follows:

90 inches.

The radius of a circle represents the distance between the circle of the center to any point on the circumference of the circle.

The diameter of a circle represents the distance between two points on the circumference of the circle, passing through the center.

Hence the diameter length is twice the radius length.

From the image given at the end of the answer, the radius of the circle is given as follows:

r = 45 mm.

Hence the diameter is given as follows:

d = 2r

d = 90 mm.

The scale is that each mm on the drawing represents one inch of actual distance, hence the actual diameter is given as follows:

90 inches.

The circle is given by the image presented at the end of the answer.

More can be learned about the radius of a circle at brainly.com/question/24375372

#SPJ1

The volume of the given solid is 464 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

From the given figure,

We know that, the volume of a cuboid is Length×Width×Height

Volume of two identical cuboid is

2(8×3×7)

= 336 cubic inches

Volume of small cuboid is

8×4×4

= 128 cubic inches

The volume of the solid =336+128

= 464 cubic inches

Therefore, the volume of the given solid is 464 cubic inches.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ1

The domain of the function is 0≤ x ≤ 30

The range of the function is 0≤ y ≤ 75

What are domain and range of a function ?

The range of values that we are permitted to enter into our function is known as the domain of a function. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range. The values that the function outputs when we enter an x value are in this set.

Here, x represents the input values ( time)

from the graph,

0≤ x ≤ 30

Here, y represents the output values ( amount of water)

from the graph,

0≤ y ≤ 75

Thus, the domain of the function is 0≤ x ≤ 30

The range of the function is 0≤ y ≤ 75

To learn more about the domain and range from the given link

https://brainly.com/question/28801359

#SPJ1

The set of points in space whose coordinates satisfy a given combination of equations and inequalities can be described by a geometric shape or region in 3-dimensional space.

Enumerate the collection of spatial points whose coordinates fulfil the specified set of equations and inequalities.

The equations and inequalities will define the properties of the region, such as its shape, size, and location.

For example, if we have the equation x + y + z = 3 and the inequality x^2 + y^2 <= 1, the set of points that satisfy these conditions would be the points on or inside a sphere of radius 1 centered at the point (0,0,-1) in the x-y plane, and points on the plane x+y+z = 3.

Another example, if we have the equation x + y = 4 and the inequality y >= 2x-5, the set of points that satisfy these conditions would be the points on the line x+y = 4, above or on the line y = 2x-5.

It's important to note that the type of shape or region that is formed by the equations and inequalities will depend on the specific equations and inequalities being used and the number of variables in the problem.

To learn more about inequalities visit: brainly.com/question/30231190

#SPJ4

Probability of drawing two red cards = (26/52) * (25/51) = 25/102 = 24.509%

a standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. two of the suits (heart suit and diamond suit, called `hearts' and `diamonds') are red, the other two (spade suit and club suit, called `spades' and `clubs') are black. the cards in the deck are placed in random order (usually by a process called `shuffling'). what is the probability that the first two cards drawn from the deck are both red?

A standard deck of 52 cards has 26 red cards ( of Hearts and Diamonds) and 26 black cards ( of Spades and Clubs).

Probability of drawing the first red card = 26/52

Probability of drawing the second red card = 25/51

So, probability of drawing two red cards = (26/52) * (25/51) = 25/102 = 24.509%

To know more about probability visit brainly.com/question/30034780

#SPJ4

The two positive numbers are 39 and 91 in the ratio 3:7

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x and y represent the two positive numbers. x represent the smaller while y is the larger

Two positive numbers are in the ratio 3:7, hence:

(3/10)(x + y) = x

3x + 3y = 10x

7x - 3y = 0   (1)

Their difference is 52, hence:

y - x = 52   (2)

From both equations:

x = 39, y = 91

The two numbers are 39 and 91

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Step-by-step explanation:

the area of a parallelogram is

base × height

the graphic shows us that the base (AB) is 3 units long.

and the height (BF) is also 3 units long.

so the area of ABJF is

3 × 3 = 9 units²

The area of a regular hexagon inscribed in a circle is equal to two-thirds of the area of the circle.  [tex]$324\pi\div 2\div 3[/tex]= [tex]108\pi$  $108\pi \approx 339.292$[/tex] square units  The answer in simplest radical form is[tex]$\sqrt{339.292}$[/tex]  square units.  

it is important to first understand the concept of a regular hexagon inscribed in a circle. A regular hexagon inscribed in a circle is a six-sided polygon whose interior angles are all equal and whose sides are all of equal lengths. This means that the hexagon will have six equal-length sides and six equal-sized angles.

The area of such a hexagon is equal to two-thirds of the area of the circle in which it is inscribed.   In this problem, the area of the circle is given as [tex]$324\pi$[/tex] square units. To determine the area of the regular hexagon inscribed in the circle, the area of the circle needs to be divided by two and then by three.

This yields a result of [tex]$108\pi$[/tex] square units, which is approximately equal to 339.292 square units. This result can be written in the simplest radical form as [tex]$\sqrt{339.292}$[/tex] square units, which is the answer to the problem.

To know more about hexagon refer to the  link   brainly.com/question/12186031

#SPJ4

The total monthly payment would be $17.36.

Option (d) is correct.

What is the annuity payment?

An annuity payment is a fixed, regular payment made to an individual or organization over a specific period of time. It is typically used in the context of financial transactions, such as loans, investments, and insurance.

To calculate the monthly payment Bianca will have to make to avoid interest capitalization, we can use the formula for the annuity payment:

PMT = (Loan Amount * Interest Rate / (1 - (1 + Interest Rate)^(-n))) / (Interest Rate / 12)

Where:

PMT is the monthly payment

Loan Amount is the amount of the loan, in this case, $2,600

Interest Rate is the annual interest rate, in this case, 6.2%

n is the total number of payments, in this case, 5 years * 12 months/year = 60 months

Plugging in the values, we get:

PMT = (2600 * 0.062 / (1 - (1 + 0.062)^(-60))) / (0.062 / 12)

PMT = $17.36

Hence, the total monthly payment would be $17.36

To learn more about annuity payment, visit:

https://brainly.com/question/25792915

#SPJ4

Answer: C

Step-by-step explanation:Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6.2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization?

a.

$12.40

b.

$19.29

c.

$13.43

d.

$17.36

Please select the best answer from the choices provided