find the area of a square of side 7.2 cm​

Answer:

Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same

Answer:

z = \(\frac{11}{2}\)

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\(25^{z-4}\) = 125 [ 25 = 5² and 125 = 5³ ]

\((5^2)^{z-4}\) = 5³

\(5^{2z-8}\) = 5³

Since the bases on both sides are equal, both 5, then equate the exponents

2z - 8 = 3 ( add 8 to both sides )

2z = 11 ( divide both sides by 2 )

z = \(\frac{11}{2}\) ( = 5.5 )

Answer:

I'm guessing you mean fraction decimal and percentage

The final answer is:

3/4

0.75

75%

Step-by-step explanation:

You have to add 400 + 250 + 100 and then you will get 750. Then you make 750 into a fraction, decimal, and percentage

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

The probability that the student will pick a ball that is either red, orange, or green is 0.75

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability that the student will pick a ball that is either red, orange, or green be P

Now , the total number of balls in the container = 1000 balls

And , probability that the student will pick a ball that is either red, orange, or green can be calculated as the sum of the probabilities of picking a red ball, an orange ball, or a green ball. That is,

P(Red or Orange or Green) = P(Red) + P(Orange) + P(Green)

The probability of picking a red ball is 400/1000 = 0.4

The probability of picking an orange ball is 250/1000 = 0.25

And the probability of picking a green ball is 100/1000 = 0.1.

Therefore , P (Red or Orange or Green) = 0.4 + 0.25 + 0.1 = 0.75

Hence , the probability is 0.75

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The length of FC is 36.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

FC = x - 2

EC = 27 in

BC = (27 + 3) = 30

DC = 4 + (x - 2) = 2 + x

From the figure,

ΔEFC and ΔBCD are similar.

So,

FC/DC = EC/BC

Substituting the values.

(x - 2) / (2 + x) = 27 / 30

Solve for x.

(x - 2) / (x + 2) = 9/10

10 (x - 2) = 9 (x + 2)

10x - 20 = 9x + 18

10x - 9x = 18 + 20

x = 38

Now,

FC = x - 2

FC = 38 - 2 = 36

Thus,

The length of FC is 36.

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The product of the slopes of two non-vertical perpendicular lines is always -1.

It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.

The definition of perpendicular lines is lines that intersect and at the point of intersection they form a right angle of 90°.

In determining the gradient of two mutually perpendicular when multiplied it will produce the number -1. So the formula used is:

y = mx + c

Meanwhile, the gradient formula is m1 = -1/m2.

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Answer:

22

Step-by-step explanation:

cancel the 1 and add 18+4=22

Answer: x=67    x=70    x=61

Step-by-step explanation:

see image for explanaton

Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.

Wavelength = Length of Pool / Number of Loops

24 m / 6 loops

= 4 m

Wavelength

= 4 m

Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.

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SOLUTION

The expression

Nine less than the product of a number and 4 can be written as

Defined a parameter for the unknown

The product of 4 and the number is

Then

Nine less than the product means to subtract 9 from the product

Hence

Therefore

The expression nine less than the product of a number and 4 is written as

4n-9

The right answer is A

Answer:

True

Step-by-step explanation:

:) Hope this helps ! x

True,  A translation maps each point to its image along a vector called the translation vector.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

A translation maps each point to its image along a vector called the translation vector

Example:

A = (2, 4) translated vertically up with 2 units.

The image of A = (2, 4 + 2) = (2, 6).

The translation vector is the 2 units.

Thus,

A translation maps each point to its image along a vector called the translation vector

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Yes, the connection between the semimajor axis and an orbit's period varies as the eccentricity of the orbit changes.

In geometry, the eccentric definition is the distance from any point on a conic section to the focus divided by the perpendicular distance from that point to the nearest directrix. In general, eccentricity aids in determining the curvature of a form. The eccentricity grows as the curvature lowers.

Here,

In general, an orbit's period is proportional to the square root of the semimajor axis multiplied by three. This connection, however, is only valid for circular orbits with zero eccentricity. When the eccentricity is larger than zero, the period of the orbit is still determined by the magnitude of the semimajor axis, but it is also determined by the form of the orbit as given by the eccentricity. The relationship between the semimajor axis and the period in this situation is not as straightforward as a proportionate relationship.

As a result, modifying an orbit's eccentricity modifies the connection between the semimajor axis and the period.

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Answer:

\(\frac{0.3KL}{min}\)

Step-by-step explanation:

okay, so first, you have

\(\frac{5L}{s}\)

you are going to work with Liters first. you want to cancel out variables to get it to equal the specified ones, so if one liter is equal to 0.001 kl, you do: \(\frac{5L}{s} x \frac{0.001kl}{1L}\) . you put liter on bottom because when you have L over L, it cancels out.

then work with seconds. 60 seconds are in a minute, so

\(\frac{5L}{s} x\frac{60s}{min}\). you want them to cancel out, so that's why you put seconds on top.

so now, put everything together

\(\frac{5L}{s} x\frac{0.001kl}{1L} x\frac{60s}{1min}\) so now, multiply the stuff on the top together, and the stuff on the bottom together, and you will get your answer of

\(\frac{0.3KL}{min}\)

Answer:

\(the \: right \: value \: is \: 0.3kL/min \)

Step-by-step explanation:

\(you \: can \: start \: by \: knowing \: that : \\ 1 \: \frac{kL}{min} = \frac{1000L}{60s} = \frac{50L}{3s} = \frac{50}{3} {L(s)}^{ - 1} \\ so \: if \: \frac{50}{3} {L(s)}^{ - 1} = 1 \: \frac{kL}{min}\\ then \\ 5 {L(s)}^{ - 1} \: will \: be \: = \: \frac{1 {kL(m)}^{ - 1} \times 5 {L(s)}^{ - 1} }{\frac{50}{3} {Ls}^{ - 1} } \\ = 0.3{kL(m)}^{ - 1}\)

The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

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The scale factor of triangle ABC to triangle LMN is 3, indicating that ABC is three times larger than LMN.

The scale factor of triangle ABC to triangle LMN can be determined by comparing the corresponding side lengths. Given that AB = 18, BC = 12, LN = 9, and LM = 6, we can find the scale factor by dividing the corresponding side lengths of the triangles.

The scale factor is calculated by dividing the length of the corresponding sides of the two triangles. In this case, we can divide the length of side AB by the length of side LM to find the scale factor. Therefore, the scale factor of ABC to LMN is AB/LM = 18/6 = 3.

This means that every length in triangle ABC is three times longer than the corresponding length in triangle LMN. The scale factor provides a ratio of enlargement or reduction between the two triangles, allowing us to understand how their dimensions are related. In this case, triangle ABC is three times larger than triangle LMN.

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The expected gestation period of this species with a 17-year life expectancy is approximately 430.2 days, rounded to one decimal place as needed.

A certain mammal has a life expectancy of about 17 years. To estimate the expected gestation period of this species, we can use the scatterplot provided, which shows Gestation Period (in days) vs. Life Expectancy (in years) for 18 species of mammals.

To determine if there is any evidence that an animal's gestation period is related to the animal's lifespan, we can look at the R-squared value provided, which is 86.5%. This indicates a strong positive correlation between gestation period and life expectancy.

To estimate the gestation period for the species with a 17-year life expectancy, we can use the provided linear regression equation:

Gestation = Constant + Coefficient * Life Expectancy

The given constant is 90.1808 and the coefficient is 20.

Gestation = 90.1808 + (20 * 17)

Gestation = 90.1808 + 340

Gestation ≈ 430.2 days

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Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

Step-by-step explanation:

So, the point of this is to make x the only thing on one side, so we can see what x is!

Okay so first subtract 8 on both sides...

5x= 25

Now we need to divide on both sides!

That equals...

x=5

So now we know that x=5!

Hope this helped!! :D

If you have any questions whatsover, make sure to comment!

Answer:

20

I hope this helps!

Answer:

20

Step-by-step explanation:

hope this helps I know I'm too late.

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

a) The Beta distribution that would be used to model p, the true defect rate is Beta(2, 8).

(b) Using the distribution P(.15 ≤p ≤.25) is 0.086.

(c) The new Beta distribution that you would use to model p is Beta(3, 17).

(d) Using the new distribution P(.15 ≤p ≤.25) is 0.004.

(a) The Beta distribution that we would use to model p is Beta(α, β), where α is the number of defective parts found in the sample and β is the number of working parts found in the sample. In this case, α = 2 and β = 8, so the Beta distribution is Beta(2, 8).

(b) Using the Beta(2, 8) distribution, we want to find P(.15 ≤p ≤.25). This is equivalent to finding the probability that p falls between 0.15 and 0.25. We can use a Beta distribution calculator or software to find this probability, which is approximately 0.086.

(c) To find the new Beta distribution, we need to combine the two samples. We now have a total of 3 defective parts and 17 working parts. Therefore, the new Beta distribution is Beta(3, 17).

(d) Using the Beta(3, 17) distribution, we want to find P(.15 ≤p ≤.25). Again, we can use a Beta distribution calculator or software to find this probability, which is approximately 0.004. This probability is smaller than the one we found in part (b) because the second sample had a lower proportion of defective parts, which reduced our uncertainty about the true defect rate.

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The standard error of the sample mean, \(\bar{x}\) , is the standard deviation of the distribution of sample means.

The standard error is a measure of the amount of variability in the mean of a population. It is also defined as the standard deviation of the sampling distribution of the mean. This value is used to create confidence intervals or to test hypotheses. The formula to find the standard error is SE = s/√n, where s is the sample standard deviation and n is the sample size. This estimate shows the degree to which the sample mean is anticipated to vary from the actual population mean.

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The points x ≤ 1 2/3 and x<-3/4 has plotted in the number line

A number line is a visual representation of the real number system. It is a straight line on which numbers are marked at equal intervals, with zero in the center and positive numbers to the right of zero and negative numbers to the left of zero

The line represents the set of all real numbers, with negative numbers to the left of zero and positive numbers to the right. The point marked with a circle (o) represents the value of x that satisfies both conditions, which is x ≤ 1 2/3 and x < -3/4. Since -3/4 is less than 1 2/3, any value of x that satisfies x ≤ 1 2/3 must also satisfy x < -3/4, so the two conditions are equivalent in this case.

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Answer:

$15087.27

Step-by-step explanation:

When you read word problems you should always read over it several times, look for key words, and possibly even write down the known facts.

First add up Celine's earnings:

1250(11)=6105

6105+8250=14355

Since Celine has +525 more than Abbas you have to subtract:

14355-525=13830

Since we want the yearly income we divide it to get the monthly income:

13830/11=1257.27272727

Next multiply by 12 to get the answer:

1257.27272727(12)=15087.2727273

They will probably want it simplified to $15087.27.

                  Hope this helps:)

If people show up at rate of 1 person every minute , then the probability that on a random minute , at least 3 people show up is 0.084  .

The number of people showing up at bar in San Diego during any random minute is a Poisson process with an average rate of 1 person per minute.

Let X = number of people who show up during a random minute.

Then X will  follows a Poisson distribution with parameter λ = 1.

So , probability of at least 3 people showing up in a random minute is:

⇒ P(X ≥ 3) = 1 - P(X < 3)

⇒ 1 - (P(X = 0) + P(X = 1) + P(X = 2))

By using Poisson probability mass function for finding P(X = k) for k = 0,1,2   ;

⇒ P(X = k) = (\(e^{-\lambda}\))×(\(\lambda ^{k}\))/k!

Substituting in λ = 1, we get ;

⇒ P(X = 0) = (\(e^{-1}\))×(\(1 ^{0}\))/0! = 1/e  ;

⇒ P(X = 1) =  (\(e^{-1}\))×(\(1 ^{1}\))/1! =  1/e  ;

⇒  P(X = 2) =  (\(e^{-1}\))×(\(1 ^{2}\))/2! = 1/2e  ;

So, the probability of at least 3 people showing up in a random minute is:

⇒  P(X ≥ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

= 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e)

= 1 - (5/2e)

= 0.083019 ≈ 0.084  .

Therefore , the required probability is 0.084  .

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The given question is incomplete , the complete question is

Your friend sings every Saturday night at your favorite bar in San Diego. During his show, people show up at the rate of 1 person every minute.

What is the probability that on a random minute, at least 3 people show up ?

Answer:

402.9092

Step-by-step explanation:

surface area of cylinder - top base = 301.5946

surface area of cone - base = 101.3146

add together 402.9092

Answer:

75

Step-by-step explanation:

The total return on the 3 percent preferred stock for last year is $2.00.

To calculate the total return on the preferred stock, we need to consider two components: capital appreciation and dividends received.

The capital appreciation represents the increase in the stock's price over time. In this case, the stock was purchased for $97.06 and its current market price is $99.06. To calculate the capital appreciation, we subtract the initial purchase price from the current market price:

Capital Appreciation = Current Market Price - Purchase Price

= $99.06 - $97.06

= $2.00

Therefore, the capital appreciation of the stock is $2.00.

Preferred stocks typically pay fixed dividends at regular intervals. Since the question does not provide any information about dividends received, we assume that no dividends were paid during the last year. Hence, the dividend component of the total return is zero.

To calculate the total return, we sum up the capital appreciation and dividend components:

Total Return = Capital Appreciation + Dividends

= $2.00 + $0.00

= $2.00

Therefore, the total return for the last year on the 3 percent preferred stock is $2.00.

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To determine the coordinate of point P after the described rotations, let's go step by step.

First, the point P(3, 5) is rotated 180 degrees clockwise about the point A(3, 2). To perform this rotation, we need to find the vector between the center of rotation (A) and the point being rotated (P). We can then apply the rotation matrix to obtain the new position.

Let \(\vec{AP}\) be the vector from A to P. We can calculate it as follows:

\(\vec{AP} = \begin{bmatrix} 3 \\ 5 \end{bmatrix} - \begin{bmatrix} 3 \\ 2 \end{bmatrix} = \begin{bmatrix} 0 \\ 3 \end{bmatrix}\).

Now, we can apply the rotation matrix for a 180-degree clockwise rotation:

\(\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} \cos(\theta) & -\sin(\theta) \\ \sin(\theta) & \cos(\theta) \end{bmatrix} \begin{bmatrix} x \\ y \end{bmatrix}\),

where \(\theta\) is the angle of rotation in radians. Since we want to rotate 180 degrees, we have \(\theta = \pi\).

Applying the rotation matrix, we get:

\(\begin{bmatrix} x' \\ y' \end{bmatrix} = \begin{bmatrix} \cos(\pi) & -\sin(\pi) \\ \sin(\pi) & \cos(\pi) \end{bmatrix} \begin{bmatrix} 0 \\ 3 \end{bmatrix} = \begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix} \begin{bmatrix} 0 \\ 3 \end{bmatrix} = \begin{bmatrix} 0 \\ -3 \end{bmatrix}\).

The new position of P after the first rotation is P'(0, -3).

Next, we need to rotate P' (0, -3) 90 degrees counterclockwise about the point B(1, 1).

Again, we calculate the vector from B to P', denoted as \(\vec{BP'}\):

\(\vec{BP'} = \begin{bmatrix} 0 \\ -3 \end{bmatrix} - \begin{bmatrix} 1 \\ 1 \end{bmatrix} = \begin{bmatrix} -1 \\ -4 \end{bmatrix}\).

Using the rotation matrix, we rotate \(\vec{BP'}\) by 90 degrees counterclockwise:

\(\begin{bmatrix} x'' \\ y'' \end{bmatrix} = \begin{bmatrix} \cos(\theta) & -\sin(\theta) \\ \sin(\theta) & \cos(\theta) \end{bmatrix} \begin{bmatrix} x' \\ y' \end{bmatrix}\),

where \(\theta\) is the angle of rotation in radians. Since we want to rotate 90 degrees counterclockwise, we have \(\theta = \frac{\pi}{2}\).

Using the rotation matrix, we get:

\(\begin{bmatrix} x'' \\ y'' \end{bmatrix} = \begin{bmatrix} \cos \left(\frac{\pi}{2}\right) & -\sin\left(\frac{\pi}{2}\right) \\ \sin\left(\frac{\pi}{2}\right) & \cos\left(\frac{\pi}{2}\right) \end{bmatrix} \begin{bmatrix} -1 \\ -4 \end{bmatrix} = \begin{bmatrix} 0 & -1 \\ 1 & 0\end{bmatrix} \begin{bmatrix} -1 \\ -4 \end{bmatrix} = \begin{bmatrix} 4 \\ -1 \end{bmatrix}\).

The final position of P after both rotations is P''(4, -1).

Therefore, the coordinate of point P after the rotations is (4, -1).