a t test can be used to compare results from two different methods. of the difference in the results is significant, it means that

100 square centimeters are in the area of the largest possible inscribed triangle having one side as a diameter of circle.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

Base = 2r = 2*10 = 20 cm

Height = r=  10 cm

Area =  1/2 * base * height

        =   1/2 * 20 * 10

        =   100 square centimeters

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Answer: Yes

Step-by-step explanation:

There are 676 sets of unique first and last initials, there being 26 for the first and 26 for the last. With 700 people, there are not enough unique combinations for everyone to be different. Therefore, in a group of 700 people, there will always be two who have a matching first and last initial.

If the angle C is 15 degree and angle D is complementary then the measure of angle D is 75 degree .

In the question ,

it is given that ,

the measure of angle C is = 15 degree  ,

we have to find the measure of angle D in the question,

and the angle C and angle D are complementary ,

that means ; angle C + angle D = 90°

Substituting the values ,

we get ,

15° + ∠D = 90°

subtracting 15° from both the sides ,

we get ,

∠D = 90° - 15°

Simplifying  further ,

we get,

∠D = 75°

Therefore , the measure of angle D is = 75° .

The given question is incomplete , the complete question is

If Angle C = 15 degrees and Angle D is complementary to Angle C, what is the measure of Angle D ?

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the number of arrangements if a and m come in a unit is 720.

What is the combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The number of k-combinations for a set with n components

The word is the mailbox.

So it contains 7 words and the total number of arrangements will be 7! = 5040.

And if a and m comes in a unit then: the number of the arrangements will be 6! = 720.

Hence the number of arrangements if a and m come in a unit is 720.

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Answer: 3

Step-by-step explanation: 6x⋅13⋅9x⋅136⋅13⋅9⋅13

The 64th term of the arithmetic sequence -3, -14 -25, will be - 696.

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The arithmetic sequence is,

⇒ -3, -14 -25.

Now,

Since, We know that;

⇒ nth term = a + (n - 1)d

Where, 'a' is first term, 'd' is common difference.

Here, The arithmetic sequence is,

⇒ -3, -14 -25.

First term (a) = - 3

Common difference (d) = - 14 - (-3)

                                    = - 14 + 3

                                    = - 11

So, We get;

⇒ 64th term = - 3 + (64 - 1) (-11)

                    = - 3 + 63 × - 11

                    = - 3 - 693

                    = - 696

Thus, 64th term = - 696

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Answer:

The equations 3x+y=-3 and 3x+y=-4 are both linear equations in the standard form. The standard form of a linear equation is ax+by=c, where a and b are coefficients, and c is the constant term.

Step-by-step explanation:

The height of the sunflower is got increased by 15% will be 92 inches.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

Maya established sunflowers locally garden. During her last visit to the nursery, the plants were 80 inches tall. Today, Maya viewed them as 15% taller.

The length of the sunflower will be given as,

⇒ 80 x (1 + 0.15)

Simplify the expression, then we have

⇒ 80 x (1 + 0.15)

⇒ 80 x 1.15

⇒ 92 inches

The height of the sunflower is got increased by 15% will be 92 inches.

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The Proof for ABD is congruent to CBD is shown below.

The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Two triangles are congruent by side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS) and right angle-hypotenuse-side (RHS).

Given:

AB || CD, <CBD = <ADB

In ΔABD and ΔCDB

<CBD = <ADB {Given}

BD= BD {Common}

<ABD = <CDB {Alternate Interior Angle}

So, By ASA Congruence Rule  ΔABD ≅ ΔCDB

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Answer:

If a scatter plot shows a linear association, then there is a line that describes the relationship between the two measured quantities reasonably well. This means that there is a clear pattern in the data, and that the data points tend to follow a straight line when plotted on a graph. This does not necessarily mean that there is a line that passes through all of the plotted data points or that there is a tendency for relatively high values for one measured quantity to be paired with relatively high values for the other measured quantity.

Step-by-step explanation:

Answer:

A scatter plot shows a linear association.

Step-by-step explanation:

The required rate are the people moving apart 3 minutes after the woman starts walking is 2.36 ft/S.

The  rate of change of distance is speed ( not uprooting). Similar distance in different headings is alluded to as a similar distance.

Let x and y be the distance of the man and woman respectively.

We have,

dx/dt = 2 ft/s, dy/dt = 1 ft/s

Then, x = 2×6×60 = 720 ft

y = 1×5×60 = 300 ft

And in triangle which make by the locus of man and woman.  

(x +y)^2 + (800)^2 = z^2

z = √(1020)^2+(800)^2

z = 1296.3 ft

So, people are 1296.3 ft apart,

Rate change

[tex]\frac{d}{dt}[/tex](x+y)^2 = [tex]\frac{d}{dt}[/tex]z^2

2(x+y)(dx/dt+dy/dt) = (2z)dz/dt

(720+300)+(2+1) = (1296.3)dz/dt

dz/dt = 3060/1296.3 = 2.36 ft/s

Thus, their moving rate is 2.36 ft/s

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The probability that a domino randomly selected from a set will be a double =  2  / 11

what is probability?

A thing's probability indicates how probable it is to happen. When we are uncertain about the result of a given event, we can talk about the probabilities of several outcomes—how likely they are. Statistics refers to the study of events that have a probability component.

When 'n' is the largest integer in the set, the total number of dominoes in the set is given by the following formula:

(n + 1) (n + 2) / 2

This means that (9 + 1) (9 + 2) / 2 =

(10)(11)/ 2  =    

110/2 =55

10 of these dominoes will be "doubles"

So....the probability that a domino randomly selected from a set will be a double =   10 / 55    =    2  / 11

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85.6% of original sketch could still be seen when it was cropped into the frame.

A % is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless connection between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimal. The symbol "%" is commonly written after the integer to indicate percentages.

by using the area of rectangle which is lenght x width

The area of a sketch ( dimensions are 8.5 inch x 11 inch ) = 93.5 square inches

The area of a sketch ( dimensions are 8 inch x 10 inch ) = 80 square inches

Now, (80/93.5) 100 85.6% of original sketch would be contained in the frame.

85.6% of original sketch could still be seen when it was cropped into the frame.

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Answer:

86

Step-by-step explanation:

One time SAS iterates through the data step.

What are iterations in SAS?

You can repeatedly run a series of statements between DO and END depending on the value of an index variable by using the iterative DO statement. The iterative DO loop can have many different shapes. You can use a SAS data set to conditionally select data by using the DO UNTIL and DO WHILE instructions.

Here, we have

Given jenny 3.95 odun 3.90 Caleb 3.25 bros 2.98; run

We have to calculate how many times SAS iterates through the data step.

We concluded from a given condition that Since there is no loop check condition used so the program will execute one time sequentially.

Hence, One time SAS iterates through the data step.

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The average length of DNA per gene would be 40,000 base pairs if the genome had 20,000 genes.

Average gene length: just 2.5% of the human genome codes for proteins. The remaining 97.5% are introns. The male nuclear diploid genome measures 205.00 centimeters (cm), is 6.27 Gigabase pairs (Gbp), and weighs 6.41 picograms (pg). 208.23 cm, 6.51 pg, and 6.37 Gbp are the female measurements. "The overall number of base pairs, which is the length of DNA per gene, will be roughly twice the number of genes present in the genome, in this example 40,000, for a 25% mammalian genome with 20,000 genes".

A DNA region from which an mRNA is transcribed is the de facto definition of a "gene" in mammalian genome annotation. Because one cannot deduce function from a genome sequence alone, the correct functional genetic definition of a gene—a segment of DNA that can complement a mutant phenotype—is lost.

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By using unitary method, it can be calculated that

For acceleration of 0.9 m/[tex]s^2[/tex], force applied is [tex]\frac{10}{0.25}\times 0.9[/tex] N = 36 N

What is unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here, Unitary method will be used

For acceleration of 0.25 m/[tex]s^2[/tex], force applied is 10 N

For acceleration of 1 m/[tex]s^2[/tex], force applied is [tex]\frac{10}{0.25}[/tex] N

For acceleration of 0.9 m/[tex]s^2[/tex], force applied is [tex]\frac{10}{0.25}\times 0.9[/tex] N = 36 N

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Answer:

Step-by-step explanation:

Answer: He will need 49 tiles.

Step-by-step explanation:

Given: The patio will measure 13.5 feet by 43 feet.

Area of patio = 13.5 feet x 43 feet [Area = length x width]

= 580.5 sq. feet

Since area of each concrete tile = 12 sq. inch

Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)

= 580.5 ÷ 12

= 48.375 sq. inch ≈49

Robinson's time is 25 minutes and Wrong' time is 40 minutes.

Equation of Time:

x + y = 65                  -------------------------- (1)

Total usage amount:

15x + 35y = 1775     -----------------------------(2)

There are several ways to answer this question. I will teach we how to create two equations from the given information. First we need to set some variables (or unknowns).  we need to set up a sprinkler time variable for each household. Let's call the time of the Robinson  family "x" and the time of the Wrong family "y". The total time used was 65, so the first formula is x + y = 65 ( Robinson's time plus Wrong's time gives total time).

Now,

We use the other hourly water information (remember we already have time variables for each family, x and y). We can set the following equation as 15x + 35y = 1775 (15 liters x the amount of time the Robinson's use water plus 35 liters x the amount of time the  use water gives equal to total usage).

Now,

We can solve for one of the variables (x or y). It doesn't matter which one we start with. Also, it doesn't matter which formula you start with. I used

x + y=65 . On the other hand, subtracting x gives y = 65 - x.

Now,

Replace y in the other formula. 15x + 35y = 1775 turns into

15x + 35(65-x) = 1775.

Distribute 35 to each term in brackets. By isolating the x variable: x=25

Recall that x means how long the Robinson's have been using sprinklers.

Now,

We can plug x into the other equation: 25 + y = 65

Therefore,

Subtract 25 on the other side to isolate y: y= 40

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Answer:

B

Step-by-step explanation:

Lines that are both perpendicular to a given line are parallel.

Answer:

Step-by-step explanation:

The two most vital body systems that are checked when performing the steps of checking the ABCs are the Circulatory and Respiratory Systems.

Blood veins in the circulatory system are responsible for moving blood away from and back toward the heart. Arteries carry blood out from the heart while veins carry it back. Oxygen, nutrients, and hormones are delivered to cells by the circulatory system, which also eliminates wastes like carbon dioxide.

The respiratory system refers to the network of tissues and organs in your body that facilitates breathing. It includes your lungs, blood vessels, and airways. The lungs' moving muscles are a part of the respiratory system. Together, these elements circulate oxygen throughout the body and remove waste gases like carbon dioxide.

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To find the scale factor of dilation we need to know the coordinated and centre point of dilation

The scale factor of a dilation is a number that represents the relationship between the lengths of objects before and after the dilation. It is equal to the ratio of the lengths of corresponding sides after and before the dilation.

To find the scale factor of a dilation, it is required to know the coordinates of the two points that the dilation acts on. The scale factor is then given by the ratio of the distances between the two points after and before the dilation. We locate the centre of the dilatation, and then we measure the distances between this centre and various points on the preimage and the final image. Then the scale factor is determined by the ratio of these distances.

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The term splitting is one of the methods used in factoring the quadratic expression.

We know that the general form of quadratic equation is ax² + bx + c = 0

The term splitting is one of the methods used in factoring the quadratic equation. When we can not square the first and the last term of the quadratic expression then we can use the method of splitting of the middle term. In this method we have to rewrite the middle term of the quadratic expression as the sum or difference of the two terms (the first and the last term).

For example, to factor a quadratic expression 4x² + 8x - 5

first find the product of the first and last term: 4 x (-5) = -20

Now, find the factors of -20 in such way that addition or subtraction of that factors is the middle term (8x) (Splitting of middle term):

10 x (-2) = -20 and 10 - 2 = 8

Now we write the quadratic expression using the sum of the two new factors, including the proper signs.  

4x² + 10x - 2x - 5

Now,factor each pair by finding common factors.  

2x( 2x + 5) - 1(2x + 5)

Now, factor out the common binomials.  

(2x - 1) ( 2x + 5)

Therefore, the quadratic factorization uses splitting of middle term wtere the middle term of quadratic expresseion is splitted in to two factors.

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The monthly prescription of $850, and the 90% coverage for the first $600 and 80% coverage for the prescriptions over $600 indicates that the total out-of-pocket by the family for one month is $110.

The correct option is option C. $110

An out-of-pocket expense is an health expense incurred by an insured person, for which the insured person is not reimbursed.

The monthly premium for the family's health insurance plan = $55

The coverage offered by the health insurance for the first $600 = 90%

The coverage for prescription above $600 = 80%

The expected number of prescriptions by the family per month = 6

The total cost of the family's monthly prescription = $850

Therefore, the out-of-pocket expense by the family for one month are;

Out-of-pocket prescription for the first $600 = $600 - 90% × $600 = $60

Amount of prescription over $600 = $850 - $600 = $250

Out-of-pocket for prescription above $600 = $250 - 80% × $250 = $50

The correct option is therefore, option C $110

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Answer:

The correct answer is D: $165

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

20+20