Write the sum of 2 1/3

Answer:

11 meters.

Step-by-step explanation:

The important thing to note here is that the backyard is a square. Since it's a square, all of its sides all equivalent in length. Thus, let's find the length of the sides. To do this, we use the area formula.

The formula for the area of a square is:

\(A=n^2\)

Where n is a side. Since we know the area already, we can find n. Find n:

\(121=n^2\\n=11\)

Since every side in a square are equivalent, all sides are 11 meters in length.

Therefore, each section of the fence should be 11 meters long.

The value of x in the given circle with intersecting chords is determined as 6.

Based on the principle of angle of intersecting chord theorem, we will have the following equation to solve for the value of x.

angle at center = half of sum of the arc angles opposite angle at center

75 = ¹/₂[2( -3 + 13x )]

The value of x is solved as follows;

75 = -3 + 13x

13x = 78

x = 6

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Answer:

They Would be if they Have a pattern from left to right such as +2 or -5.

Step-by-step explanation:

If an example is counting up from 15 to 31 and 0 to 8 the pattern is Adding Two. So if the numbers decrease or increase in a certain way, then you can find out what it is and thn bam, your answer to the question.

Answer:

Sample Response: No. The last ratio is not written with the values in the same position as the others. It should be 50

10

to be consistent. If the ratio were written this way, then the ratios would all be equivalent . The relationship is proportional.

Step-by-step explanation:

edge 2020 sample response

The Poisson distribution with a mean of 6.0 is an appropriate model.

Hence, The Poisson distribution with a mean of 6.0 is an appropriate model.

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71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.

Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.

tan 71.5°=opp/hyp

tan 71.5°=y/50

y=50(tan 71.5°)

y=50(tan 71.5°)

y=50(2.98868)

y=149.4ft

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Use a coordinate proof to prove that mid segment mn of triangle pqr is parallel to pr and half the length of pr. which is the first best step? a. place the triangle on a coordinate grid such that vertex p is at the origin, and pr lies on x-axis. b. place the triangle on a coordinate grid such that vertex p is on y-axis and vertex r us on the x-axis

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Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis. Therefore, option D is the correct answer.

If we start with Step A, we are unknown about points Q and R and these two points need to be located somewhere.

If we start with step B, we are unknown about point Q and it needs to be located.

If we start with step C, we are unknown about points P and R, and these two points need to be located.

Let us start with step D,

It is given that,

In triangle PQR, QR lies on the x-axis while PQ lies on the y-axis means Q will be at the origin

Coordinates of Q will be (0, 0)

Let us take coordinates of R (4, 0) and P as (0, 4)

Let us take the midpoints of PQ &PR as ‘S’ & ‘T’ respectively.

Now, coordinates of S and T can be found using the Mid-Point formula

Coordinates of mid-point = (x₁+x₂)/2, (y₁+y₂)/2

Coordinates of S= (2, 0)

Coordinates of T= (2, 2)

Here,

We have to prove ST= QR/2 and ST Parallel to QR.

(1) Now, using distance formula,

ST = √([(0-2)²+(2-2)²])

ST = 2 (1/2 ×QR)

(2) Now, in order to prove ST is parallel to QR, we need to prove that the slope of ST is equal to the slope of QR.

Using slope formulae

Slope of ST = (2-2)/(2-0) = 0

Slope of QR = 0, as we know slope of x-axis is 0.

So, the value of ST is half of QR as well as it is parallel to QR.

Therefore, step D is the best option to start with.

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"Your question is incomplete, probably the complete question/missing part is:"

Use a coordinate proof to prove that mid segment MN of triangle PQR is parallel to PR and half the length of PR. Which is the first best step?

A. Place the triangle on a coordinate grid such that vertex P is at the origin, and PR lies on x-axis.

B. place the triangle on a coordinate grid such that vertex P is on y-axis and vertex R us on the x-axis.

C. Place the triangle on a coordinate grid such that vertex Q is at the origin.

D. Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis.

Answer:

(-4, 3) 2nd quadrant.

Step-by-step explanation:

Answer:

the first one is correct

2) 0.805

3)0.25675

4)234.5

5)190.5

6)1.884666667

7)59.375

Step-by-step explanation:

Answer:

2) 0.805

3)0.25675

4)234.5

5)190.5

6)1.884666667

7)59.375

Step-by-step explanation:

The modulus of the difference of the product of 4 and Z₁ and the product of 3 and Z₂ is √101.

Given: Z₁ = 2 + i, Z₂ = 3 - 2i

To evaluate |4Z₁ - 3Z₂|,

we have:

4Z₁ = 4(2 + i)

= 8 + 4i

3Z₂ = 3(3 - 2i)

= 9 - 6i

4Z₁ - 3Z₂ = 8 + 4i - (9 - 6i)

= -1 + 10i

Therefore, |4Z₁ - 3Z₂| = √[(-1)² + 10²]

= √101

The value of |4Z₁ - 3Z₂| is √101.

We have been given Z₁ and Z₂, which are two complex numbers.

We have to evaluate the modulus of the difference of the product of 4 and Z₁ and the product of 3 and Z₂.

The modulus of the complex number is given by the absolute value of the complex number.

We know that the absolute value of a complex number is equal to the square root of the sum of the squares of its real part and imaginary part.

Therefore, to find the modulus of the difference of the two complex numbers, we have to first find the value of 4Z₁ and 3Z₂.

4Z₁ = 4(2 + i)

= 8 + 4i

3Z₂ = 3(3 - 2i)

= 9 - 6i

Now we have to find the difference of the two complex numbers and its modulus.

4Z₁ - 3Z₂ = 8 + 4i - 9 + 6i

= -1 + 10i|

4Z₁ - 3Z₂| = √((-1)² + 10²)

= √101

Therefore, the modulus of the difference of the product of 4 and Z₁ and the product of 3 and Z₂ is √101.

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The distance between the two towers is 30 meters, and the height of the second tower (Tower B) is 90 meters.

We have two towers. Let's call the first tower Tower A, and the second tower Tower B. The height of Tower A is given as 30 meters. The angle of elevation of the top of Tower A from the foot of Tower B is 60 degrees. The angle of elevation of the top of Tower B from the foot of Tower A is 30 degrees. Our goal is to find the distance between the two towers and the height of Tower B.

In triangle ABC, where A is the foot of Tower A, B is the top of Tower B, and C is the top of Tower A:

tan(30 degrees) = AB / BC

Since tan(30 degrees) = 1 / √3, we can rewrite the equation as:

1 / √3 = AB / BC

Cross-multiplying, we get:

BC = AB * √3

In triangle ABC:

tan(60 degrees) = AC / BC

Since tan(60 degrees) = √3, we can rewrite the equation as:

√3 = AC / BC

Substituting the value of BC from Step 3:

√3 = AC / (AB * √3)

Cross-multiplying, we get:

AC = AB * 3

We have two equations:

BC = AB * √3

AC = AB * 3

Dividing equation 2 by equation 1:

AC / BC = 3 / √3

Simplifying, we get:

√3 = 3 / √3

Cross-multiplying, we get:

3 = 3

Since 3 = 3 is a true statement, we can conclude that the two towers are at the same distance as their heights. Therefore, the distance between the two towers is 30 meters.

Using the value of the distance between the towers (30 meters), we can substitute this value into one of the previous equations to find the height of Tower B. Let's use equation 2:

AC = AB * 3

Substituting AB with the distance (30 meters):

AC = 30 * 3

Simplifying, we find:

AC = 90 meters

Therefore, the height of Tower B is 90 meters.

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To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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Answer:

-6

Step-by-step explanation:

The sequence of transformations is a 90° counterclockwise rotation about the origin followed by a reflection over the y-axis.

The given statement states that triangle A′B′C′ is the image of triangle ABC after a sequence of rigid motions and triangles quadrants 1 and 2.

The task is to find a sequence of transformations that takes triangle ABC to triangle A′B′C′.Following are the sequence of transformations that takes triangle ABC to triangle A′B′C′.In order to construct A′B′C′, let’s first rotate ABC 90° counterclockwise around the origin as given in the quadrants 1 and 2.

This would make point A′ be in quadrant 2 and C′ in quadrant 4. Hence, the image after rotating by 90° counterclockwise will be ABC.

Now, let’s reflect ABC over the y-axis, which would make point A be at A′, point B be at B′, and point C be at C′. This will give the image A′B′C′.

Thus, the sequence of transformations is a 90° counterclockwise rotation about the origin followed by a reflection over the y-axis.

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Responder:

26,62

Explicación paso a paso:

Sea x el dinero original que tenía el jugador:

si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;

\(= 30/100 \ of \ x\\= 0.3x\)

Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:

\(= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x\)

Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:

\(=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x\)

Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:

0,3x + 0,15x + 0,2025x + 37 = x

0,6525x + 37 = x

x-0,6525x = 37

0,3475x = 37

x = 37 / 0,3475

x = 106,48

La cantidad que tenía originalmente era de 106,48

75% de 106,48

= 75/100 * 106,48

= 0,75 * 106,48

= 79,86

Tomando la diferencia entre su monto original y su 75% será:

\(= 106.48-79.86\\= 26.62\)

I think 63, but I'm not sure, how do I delete an answer-

Answer:

x=63

Step-by-step explanation:

∠BAC=∠ACD=x(AB∥CD)

∠BCA=∠BAC=x(base∠s, isos△)

∠？BC+∠BCA=90（ext.∠of△）

27+x=90

x=90-27

x=63

The need for capital by the Sport Bat Corporation will spread through the financial system as it interacts with banks, investors, and the broader financial markets.

When the Sport Bat Corporation needs to borrow $2 million to upgrade their equipment, they will likely seek a loan from a financial institution, such as a bank. The bank will evaluate the creditworthiness of the company and may require collateral or a personal guarantee before approving the loan.

Once the loan is approved, the bank will add the Sport Bat Corporation's loan to their portfolio of assets. The bank may choose to sell the loan to other investors, such as insurance companies or pension funds, to diversify their portfolio and manage risk.

These investors will then receive the interest payments on the loan as a source of income. The loan may be bundled together with other loans and sold as a package, called a securitization, to other investors in the financial markets, thus representing the spread of the loan throughout the financial system.

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The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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 Answer:                    

Step-by-step explanation:

To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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The probability that the person who participated in the exit poll and has a college degree voted in favor of Scott Walker is approximately 0.5015 or 50.15%.

To find the probability that the person who participated in the exit poll and has a college degree voted in favor of Scott Walker, we can use Bayes' theorem.

Let's define the events:

A = Voted in favor of Scott Walker

B = Has a college degree

We are given the following information:

P(A) = 0.52 (probability of voting in favor of Scott Walker)

P(B|A) = 0.39 (probability of having a college degree given voting in favor of Scott Walker)

P(B|A') = 0.42 (probability of having a college degree given voting against Scott Walker)

We want to find P(A|B), the probability of voting in favor of Scott Walker given having a college degree.

Using Bayes' theorem, we have:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we need to consider the total probability of having a college degree, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|A') * P(A')

P(A') represents the event of voting against Scott Walker, which is the complement of voting in favor of Scott Walker.

P(A') = 1 - P(A) = 1 - 0.52 = 0.48

Now we can substitute the values into the formula:

P(A|B) = (P(B|A) * P(A)) / (P(B|A) * P(A) + P(B|A') * P(A'))

P(A|B) = (0.39 * 0.52) / ((0.39 * 0.52) + (0.42 * 0.48))

Calculating the numerator and denominator:

P(A|B) = 0.2028 / (0.2028 + 0.2016)

P(A|B) = 0.2028 / 0.4044

P(A|B) ≈ 0.5015

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Answer:

70.3

Step-by-step explanation:

7 tenths = 70

Answer:

Option #4 7.3

Step-by-step explanation:

First you multiply 7 by 10 the denominator. (7x10)=70

Second add 3 to the sum. (70+3)= 73

Third divide 73 by 10. (73/10)=7.3

This makes the answer 7.3.

-Hope this helped

68° is the value of y in triangle.

What is known as a triangle?

we know that

(x-1)⁰° =74° by corresponding angles, because the given lines are parallel

Solve for x

( X- 1 )° = 74°

 x = 74 + 1

x= 75°

Step 2

Find the value of y

we know that

( x- 1) + 40 + ( y - 2) = 180

substitute the value of x and solve for y

( 75 - 1 ) + 40 + ( y - 2 ) = 180

74 + 40 + y - 2 = 180

112 + y = 180

 y = 180 - 112

y = 68°

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Answer:

money saved = 1.5 x time

Step-by-step explanation:

Find the gradient with rise over run

3/2 = 1.5

Answer:um i think money saved = 1.5 x time

im not 100% sure but i think it is right

Step-by-step explanation:

Answer:

b; 1 real root and 2 imaginary roots

Step-by-step explanation:

From here, we have

x(x^2 + 121) = 0

x = 0 (1 real root)

or

x^2 + 121 = 0

x^2 = -121

x = √(-121) (2 imaginary roots)

so is would be two complex numbers from above

9514 1404 393

Answer:

  7371 years

Step-by-step explanation:

The half-life of Carbon-14 is reportedly about 5730 years. Then the exponential decay equation can be written as ...

  f = (1/2)^(t/5730)

where f is the fraction remaining after t years.

Taking logarithms and solving for t, we find ...

  log(f) = (t/5730)log(1/2)

  t = 5730·log(f)/log(1/2)

For the fraction f = 0.41, the age is approximately ...

  t = 5730·log(0.41)/log(1/2) ≈ 5730·1.286304 ≈ 7371 . . . years

The age of the skull could be estimated to be 7371 years.

Answer:

\( -40s + 90t + 30 \)

Step-by-step explanation:

Given, \( -10(4s - 9t - 3) \)

To clear parenthesis using the distributive property of multiplication, we have,

\( -10(4s) -10(-9t) -10(-3) \)

Negative sign multiplied by negative sign = positive sign

\( = -40s + 90t + 30 \)

Thus:

\( -10(4s - 9t - 3) = -40s + 90t + 30 \)

Answer:

1400 is the perimeter

Step-by-step explanation:

238x2=476

435x2=870

27x2=54

476+870+54=1400

The total value in cents of all coins in the any row would be 16 cents.

In the pattern you described, the coins are arranged in rows such that each subsequent row has one more coin than the previous row. Let's analyze the values of the coins to determine the total value in cents of all the coins in the th row.

Assuming the values of the coins are as follows:

Penny: 1 cent

Nickel: 5 cents

Dime: 10 cents

We can observe that the pattern repeats after every three coins. The first three coins in the pattern are penny, nickel, dime. These coins have a total value of 1 + 5 + 10 = 16 cents.

For the subsequent rows, the pattern repeats with an offset of 3. For example, in the fourth row, the coins are penny, nickel, dime, which have the same total value as the first row, i.e., 16 cents.

So, regardless of the value of "th" (the row number), the total value in cents of all the coins in that row will always be 16 cents.

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