A designer plans to create a new pattern of stitching a triangular piece of fabric shown in the figure above. She will stitch fabric in a straight line from the vertices of the triangle to the circumcenter of the triangle, located at point C, and then stitch an additional line of fabric back from the circumcenter to each vertex. How much fabric, in inches, will she need in total to create the design? (Note: Answer should be a whole number.)

Feature related to improving cybersecurity is multi-factor authentication.

Multi-factor authentication is a security feature that requires users to provide two or more forms of authentication to access their accounts. For example, a user might be required to enter a password and a verification code sent to their mobile phone. This makes it much more difficult for hackers to gain access to user accounts through stolen passwords or other means.

What are other ways?

Another feature that could be used to improve cybersecurity is regular software updates and patch management. Software updates often include security fixes that address known vulnerabilities in the system. By regularly updating software, organizations can ensure that they have the latest security measures in place to protect against new and emerging threats. Patch management involves monitoring and updating software on a regular basis to ensure that all systems are up-to-date and secure.

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A two-sample z-test for a difference in population proportions is the appropriate method for analyzing the results.

Z-test is a statistical test often utilizes to find the difference in mean. It is coupled with variances and sample size to find the appropriate results. It is a hypothetical test where normal distribution is seen.

z-test holds numerous advantages such as it indicates difference in small size groups making it more usable. Moreover, it is also reliable in non-normal distribution of data and is efficient while taking multiple groups in a single analysis. The question has two different popular proportion and hence the two sample z-test will suitable to compare the means.

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Answer:

320

Step-by-step explanation:

set up a proportion:   24 =  x  

                                   60      800

cross-multiply:  60x = 19200

                          x = 19200/60

                          x = 320

Answer:

Answer given below

Step-by-step explanation:

1.  \(\frac{1}{5}x + \frac{1}{3} - \frac{2}{5}x = \frac{-1}{5}x + \frac{1}{3}\)

2.  \(\frac{1}{5} x + \frac{1}{3} + \frac{2}{5} x = \frac{3}{5} x + \frac{1}{3}\)

3.  \(\frac{2}{5}+ \frac{2}{3}x- \frac{1}{5} = \frac{2}{3}x+ \frac{1}{5}\)

The number of miles ran by Emily is 43 miles.

Using equations to express the given information:

Let Emily's run = x

Danielle= d

Last week :

Given that d = 18

Emily's distance can be calculated thus:

18 = x - 25

x = 18 + 25

x = 43

Therefore, Emily ran 43 miles.

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Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

Answer:

X = 4

Step-by-step explanation:

4 X 4 equals 16 and 16 minus twelve equals 4

The three true statements are as follows:

In the list, there are several true statements and some of them include the facts that all triangles are polygons, they are closed figures and they have three straight sides.

A polygon is a shape with two or more sides. Triangles ahve three sides, so we can easily address them as polygons. Also, all triangles are closed figures and they also have three straight sides.

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Answer:

2/3, -1/1, -1 5/6, -2 1/10, -2 1/5

Step-by-step explanation:

The fallacy in the given statement "oak trees are shady, shady things are not to be trusted, therefore oak trees are not to be trusted" is equivocation. So, second option is accurate.

Equivocation is a type of fallacy in logic and rhetoric where a word or phrase is used with multiple meanings or ambiguous terms, leading to misleading or false conclusions. It occurs when a word or phrase is used in different senses within the same argument or context, resulting in confusion or deception.

Equivocation often involves exploiting the ambiguity of words or phrases to create a deceptive or misleading impression. It can occur in various forms, including:

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The required value of the x in the given expression log₂ (x) = 3 is x = 8.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.

Here,
The logarithmic equation log₂(x) = 3 can be rewritten in exponential form as 2³ = x, since the base 2 raised to the power of 3 is equal to x.

So, the solution to the equation is x = 8.

Therefore, log₂(8) = 3.

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Answer:

that's easy she ran 4 every day

Step-by-step explanation:

4x5 equals 20 for the first day she ran 4 second day 8 third 12 fourth 16 fifth 20

Answer:

y is 8 if you count towards the right side of the screen you will figure out that y is 8 followed by 9 leading you to 10, therefore x is 11.

I hope this helps

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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9514 1404 393

Answer:

  n + 5 > 11

Step-by-step explanation:

When 5 is added to a number n, the expression representing that sum is ...

  5 + n

When that is greater than 11, the expression representing that comparison is ...

  5 + n > 11

The approximate APR generated when you borrow $1,000 for 5 years at an add-on interest rate of 6%, = $300

Annual percentage rate is defined as the yearly interest generated by a sum that's charged to borrowers.

The formula for APR = p×t×r/100

The principal amount deposited (p)= $1000

Time (t) = 5 years

At the rate (r) = 6%

Therefore APR=

\( \frac{p \times t \times r}{100} \)

\( \frac{1000 \times 5 \times 6}{100} \)

\( \frac{30000}{100} \)

APR = $300

Therefore, the approximate APR = $300

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Answer:

i know that the first one is not equivlent but i dont know about the others

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

199 (and any other real number under 199)

Step-by-step explanation:

x - 46 \(\leq\) 153

  +46    +46

x \(\leq\)199

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

\(a^9 + b^ 5 + c^{13}\)

Step-by-step explanation:

\((a^5 \times a^4)+(b^2 \times b^3) + (c^7 \times c^6)\)

When bases are same and it is multiplication, then add the exponents.

\((a^{5+4})+(b^{2+3})+(c^{7+6})\)

\((a^9)+(b^ 5) + (c^{13})\)

Apply rule : \((a^b)=a^b\)

\(a^9 + b^ 5 + c^{13}\)

Answer:

\(a^9+b^5-c^{13\)

Step-by-step explanation:

\((a^5*a^4) + (b^2*b^3)-(c^7*c^6)\)

When bases are same, powers are to be added.

=> \((a^{5+4})+(b^{2+3})-(c^{7+6})\)

=> \(a^9+b^5-c^{13\)

Answer:

45°

Step-by-step explanation:

First, find the measure of each interior angle of the octagon.

Measure of each interior angle of the octagon = \( \frac{(n - 2)180}{n} \)

Where, n = 8.

Plug in the value of n into the formula

\( = \frac{(8 - 2)180}{8} \)

\( = \frac{(6)180}{8} \)

\( = \frac{1,080}{8} = 135 \)

x = 180 - 135 (straight line theorem.)

x = 45°

Answer:

1.  27y^3

2. 32c^5

3. 16m^4

4. 64g^3

5. 49j^2

6. -3125z^5

Step-by-step explanation:

Can you help answer my question too, please?

Answer: To solve this problem, we can use the binomial distribution formula. Let X be the number of blue jelly beans in a bag of 200 jelly beans. Then X follows a binomial distribution with parameters n = 200 and p = 0.15, where p is the probability of drawing a blue jelly bean.

The probability of getting more than 20% blue jelly beans in a bag can be calculated as:

P(X > 0.2*200) = P(X > 40)

We can use the normal approximation to the binomial distribution, since n is large (200) and p is not too close to 0 or 1. Using the mean and variance of the binomial distribution, we can calculate the corresponding mean and standard deviation of the normal distribution as follows:

μ = np = 200 * 0.15 = 30

σ = sqrt(np(1-p)) = sqrt(200 * 0.15 * (1-0.15)) = 4.07

Then, we can standardize the random variable X as:

Z = (X - μ) / σ

So, we have:

P(X > 40) = P((X - μ) / σ > (40 - μ) / σ)

= P(Z > (40 - 30) / 4.07)

= P(Z > 2.46)

Using a standard normal distribution table or a calculator, we find that P(Z > 2.46) is approximately 0.007. Therefore, the probability that a bag will contain more than 20% blue jelly beans is about 0.007 or 0.7%.

Step-by-step explanation:

The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments

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

The table of values

For the membership application, we have the following features

So, the function is

f(x) = 600 - 10x

For the membership available, we have the following features

So, the function is

g(x) = 20/3x

So, the functions are f(x) = 600 - 10x & g(x) = 20/3x

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They filled bags that total 879 and the treats that did not fit are 4

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given here, total treats = 6157, and group them in bags with 7 each

now, we can write 6157 = 879×7+4

thus, on dividing 6157 by 7 we get the remainder as 4 and the quotient as 879

Hence, the bags of treats they filled is 879, and 4  treats were given to the groomer

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