What is the perimeter of the figure?"

Answer: useing the distributive property the method is 4x+8=20

using the reciprocal the method is x+2=5

Step-by-step explanation:

Answer:

Using this method, the equivalent equation is 4x+8=20.

Another method is to use the reciprocal.

Using this method, the equivalent equation is x+2=5.

Step-by-step explanation:

IT IS CORRECT

Answer:

Length=8 and width=6

Step-by-step explanation:

The length of the rectangle is 4 less than twice the width, let l stand for length and w for width: l=2w-4

The perimeter is equal to 28 and the formula for the perimeter of a rectangle is 2l+2w: 28=2l+2w

Substitute l into the equation:

28=2(2w-4)+2w

28=4w-8+2w

28=6w-8

36=6w

w=6

Find for l:

l=2w-4

l=2(6)-4

l=12-4

l=8

Answer:

500 tablets is what you give

Final answer:

To provide a daily dose of 600 mg of calcium carbonate with 400 mg tablets, we need to administer 2 tablets because the calculation of 600 mg divided by 400 mg per tablet equals 1.5, and we round up to the next whole tablet.

Explanation:

If a calcium carbonate supplement is ordered at a dose of 600 mg daily, and the available form is 400 mg tablets, we need to determine how many tablets to administer. To calculate this, we divide the total daily dose required by the dosage available per tablet. Therefore, 600 mg / 400 mg/tablet equals 1.5 tablets. Since we cannot give half a tablet, we round up to the next whole tablet, as it is important not to under-dose a medication.

We get:
600 mg / 400 mg per tablet = 1.5 tablets
Thus, we need to administer 2 tablets to achieve the required daily dose of 600 mg.

Answer:

U shape

Step-by-step explanation: look for a U shape and youll have chosen a quadratic function but find the vertex and put them into the format then find the slope

Answer:

6

Step-by-step explanation:

Answer:

35 and 15

Step-by-step explanation:

Process of elimination:

Try 105 and 5 - 105 is way too much and 5 is way too little. We know that they are between 5 and 105.

Try 50 and 10.5 - This is closer, but 50 is still too much and 10.5 is too little. We now know that the two numbers are between 10.5 and 50

Try 30 and 17.5 - This is very close, but now 30 is not enough and 17.5 is too much. We now know that the smaller number is between 10.5 and 17.5 as well as the larger number is between 30 and 50.

Try 40 and 13.125 - This is also very close, but 40 is too much and 13.125 is too little. We now know that the lower number is between 13.125 and 17.5 as well as the larger number is between 30 and 40.

Try 35 and 15 - Success: 35 and 5 make the simplified ratio of 7:3! They also are products of 525!

Final answer:

The two positive numbers with a ratio of 7 to 3 and a product of 525 are found to be 35 and 15, by assigning a constant to the numbers, forming and solving a quadratic equation to find the value of the constant, and then using it to find the two numbers.

Explanation:

To find two positive numbers where their ratio is 7 to 3, and their product is 525, we can assign values x and y to the numbers such that x/y = 7/3, and x*y = 525. We can solve these equations simultaneously to find the values of x and y.

Step-by-step solution:

Therefore, the two numbers are 35 and 15.

Answer:

1/3

Step-by-step explanation:

You can try it I keep getting 3 so maybe that’s the answer

1/3, because 18.6 / 3 = 6.2

Answer:

P = -0.004Q + 149

Step-by-step explanation:

The general form of the linear equation is:

[tex]P=aQ+b[/tex]

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

[tex]a = \frac{\$41-\$133}{27,000-4,000}\\a=-0.004[/tex]

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

[tex]P-P_0=a(Q-Q_0)\\P-133=-0.004(Q-4,000)\\P = -0.004Q+149[/tex]

The linear equation is:

P = -0.004Q + 149

Answer: C. Taking the square root of both sides of the equation.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i got it right

Answer:

22%

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

There are two ways to solve this

a fast way: 125/2400 which equals approx 0.05208

when you convert this to a percentage it is about 5%

another way is take 2400 has 100% and 125 as x%

so

125/2400 = x/100

cross multiply so

2400x = 12500

then

x= 12500/2400 which simplifies to about

5.208. since this was out of 100 from the start you don't need to convert it to percentage form

Answer:

a.

[tex]\text{Sample Space} = \{ CCC,CCW,CWW,WWW,WWC,WCC,WCW,CWC \}[/tex]

b.

(i)  1/2

(ii) 2/3

(iii) 1/6

Step-by-step explanation:

a.

The sample space is the list of all possibilities.

[tex]\text{Sample Space} = \{ CCC,CCW,CWW,WWW,WWC,WCC,WCW,CWC \}[/tex]

b.

(i)

If exactly one answer is correct the favorable outcomes are

CWW , WCW , WWC.

And the probability would be 3/6 = 1/2.

(ii)

If at least two answers are correct then the favorable outcomes are

CCC,CCW,WCC,CWC

and the probability is 4/6 = 2/3.

(iii)

If  no answer is correct, the favorable outcomes are

WWW

and the probability is  1/6.

To make informed decisions based on a statistical study about restaurants, it's critical to understand the goal of the study, how the quality was measured, what the variable of interest was, who the respondents were and how they were selected.

The crucial information that would need to know before acting on the study mentioned in the question includes all of the options provided and more. Let's discuss each option in detail:

A. The goal of the study. This would provide context and help to determine why these specific variables were chosen and measured. Without a clear goal, interpreting findings can be difficult.

B. How the quality of restaurants was measured. It's important to understand how the '29 out of 30' rating was developed - what specific factors led to this score. If the rating system or measurement techniques are flawed, the results could possibly be inaccurate.

C. The variable of interest. It would be necessary to understand what variable is being measured. Is it the food quality, service, ambiance, or some other factor of a restaurant's operation?

D. Who the respondents in the survey were. The demographic and social details of the respondents are also vital. If all respondents are from a certain group (for example, high-income people), results may not be representative for the general public.

E. How the respondents were selected. This would throw light on the methodology and the degree to which the findings can be generalized to the larger population.

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Answer:

true

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

because you need to multiply 6x4x3 divided by 3

Answer:

Bb 24in2

Step-by-step explanation:

It is correct

correct on E D G E N U I T Y

Answer: [tex]3\frac{1}{2}[/tex]

Multiply

[tex]3.5/1*10/10=35/10[/tex]

Divide each side by 5

[tex]35/10[/tex]  ÷  [tex]5/5=7/2[/tex]

[tex]7/2=3\frac{1}{2}[/tex]

Answer:

[tex] \frac{3.5}{1} \frac{ \times }{ \times } \frac{10}{10} = \frac{35}{10} \\ \frac{35}{10} \frac{ \div }{ \div } \frac{5}{5} \\ = \frac{7}{2} = 3 \frac{1}{2} [/tex]

hope this helps you...

Answer: −420x+1073

Step-by-step explanation:

Let's simplify step-by-step.

955−105x(4)+118=955+−420x+118

Combine Like Terms:

=955+−420x+118=(−420x)+(955+118)=−420x+1073

Answer: =−420x+1073

I did it on my calculator and it got 653. The calculator is never wrong.

Answer:

21 maybe?

Step-by-step explanation:

if those numbers represent lengths and those lines are the same size, x is 21

Answer:

Statement A - True.

Statement B - False.

Statement C - True.

Statement D - False.

Step-by-step explanation:

(a) A sequence is convergent if and only if all of its subsequences are convergent - this statement is correct.

(b) A sequence is bounded if and only if all of its subsequences are bounded - this statement is incorrect.

(c) A sequence is monotonic if and only if all of its subsequences are monotonic - this statement is correct.

(d) A sequence is divergent if and only if all of its subsequences are divergent - this statement is incorrect.

Final answer:

In the context of mathematical sequences, statements (a), (b), and (c) regarding convergence, boundedness, and monotonicity are true as all subsequences follow the property of the original sequence. However, statement (d) is false because even divergent sequences can have convergent subsequences.

Explanation:

When analyzing the behavior of sequences and series in mathematics, it's important to understand various characteristics such as convergence, boundedness, monotonicity, and divergence. We can assess the truthfulness of the given statements based on these characteristics.

Assessment of the Statements:

(a) True: A sequence is convergent if and only if all of its subsequences are convergent. This is a fundamental property of convergent sequences, implying that if the original sequence approaches a specific value, every subsequence will also approach that same value.

(b) True: A sequence is bounded if and only if all of its subsequences are bounded. Every subsequence of a bounded sequence also has to be bounded, because it cannot exceed the bounds set by the original sequence.

(c) True: A sequence is monotonic if and only if all of its subsequences are monotonic. Regardless of which elements are chosen to form a subsequence, if the original sequence preserves its direction of progression (either increasing or decreasing), so will the subsequences.

(d) False: A sequence is divergent if and only if all of its subsequences are divergent. Here we have a counterexample: consider the sequence (-1)ⁿ, which diverges. However, it has convergent subsequences, such as the constant subsequences of all 1s or all -1s.

Therefore, statements (a), (b), and (c) are true, while statement (d) is false. Understanding the conditions for convergence, boundedness, and monotonicity is key to studying the behaviors of sequences and leveraging properties like the comparison test for evaluating whether a series converges or diverges.

Step-by-step explanation:

Total books sold = 412

So if there are 103 maths books then biology books should be three times = 103 × 3 = 309

So when we add 103 + 309 = 412

It means the number of biology books is 309 and maths book is 103

Answer:

  9 = 1 + 2n

Step-by-step explanation:

A sum is indicated with a plus sign (+). Two times a number is represented by the product of 2 and the variable used to represent the number. Here, we have chosen "n" (for "number"). Then the sum is ...

  1 + 2n

"Is" in this context means "equals", so we have ...

  9 = 1 + 2n

Answer:

Check below

Step-by-step explanation:

That's too bad you haven't attached a rectangle.

Here's an example, with the data you've typed in.

1) When we dilate a rectangle we either grows it or shrink it through a scale factor.

Check the first picture below.

The New Dilated Rectangle A'B'C'D' will follow its coordinates, when the Center of Dilation is at its origin(Middle):

[tex]D_{A'B'C'D'}=\frac{1}{2}(x,y)[/tex]

2) But In this question, B is the center of Dilation. So, Since B is the Dilation Point B=B' .  And More importantly:

[tex]\bar{AB}=\frac{1}{2}\bar{A'B'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\\bar{AC}=\frac{1}{2}\bar{A'C'}\\\bar{CD}=\frac{1}{2}\bar{C'D'}\\[/tex]

3) So check the pictures below for a better understanding.

Answer:

Pretty sure its B

Answer:

5.2161,7.5,7.508,7.58

Step-by-step explanation:

Answer:

5.2161; 7.5; 7.508; 7.58

Step-by-step explanation:

-First you will look at the first digit of each number given, obviously 5 is the smallest so it will go first

-Then you will check the following number after the first digit to see which one is smaller of the "7" values. In this case, they all have the number "5" has their second value, so we move on to the third digit.

-Since "7.5" does not have a third digit, it will be the smallest of the number "7" values.

-We then have a remaining of two values, 7.508 and 7.58. Still looking at the third numbers of each of the two, we see "0" and "8," and obviously 0 is smaller than 8, so 7.508 is smaller than 7.58

Answer:

(a) The point estimate for the population proportion p is 0.34.

(b) The margin of error for the 99% confidence interval of population proportion p is 0.055.

(c) The 99% confidence interval of population proportion p is (0.285, 0.395).

Step-by-step explanation:

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean [tex]\bar x[/tex] is a point estimate of the population mean μ.

Similarly, the the point estimate of the population proportion of a characteristic, p is the sample proportion [tex]\hat p[/tex].

The (1 - α)% confidence interval for the population proportion p is:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The margin of error for this interval is:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information provided is:

[tex]\hat p=0.34\\n=500\\(1-\alpha)\%=99\%[/tex]

(a)

Compute the point estimate for the population proportion p as follows:

Point estimate of p = [tex]\hat p[/tex] = 0.34

Thus, the point estimate for the population proportion p is 0.34.

(b)

The critical value of z for 99% confidence level is:

[tex]z={\alpha/2}=z_{0.01/2}=z_{0.005}=2.58[/tex]

*Use a z-table for the value.

Compute the margin of error for the 99% confidence interval of population proportion p as follows:

[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

          [tex]=2.58\sqrt{\frac{0.34(1-0.34)}{500}}[/tex]

          [tex]=2.58\times 0.0212\\=0.055[/tex]

Thus, the margin of error for the 99% confidence interval of population proportion p is 0.055.

(c)

Compute the 99% confidence interval of population proportion p as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

[tex]CI=\hat p\pm MOE[/tex]

     [tex]=0.34\pm 0.055\\=(0.285, 0.395)[/tex]

Thus, the 99% confidence interval of population proportion p is (0.285, 0.395).

The point estimate for p is 0.34. The margin of error, calculated using a z-score of 2.576, is 0.034. The 99% confidence interval is from 0.306 to 0.374.

This question is about calculating a confidence interval for a proportion using the normal distribution. The best point estimate for p is the sample proportion, p-hat, which is 0.34.

For a 99% confidence interval, we use a z-score of 2.576, which corresponds to the 99% confidence level in a standard normal distribution. The formula for the margin of error (E) is: E = Z * sqrt[(p-hat(1 - p-hat))/n]. Substituting into the formula, E = 2.576 * sqrt[(0.34(1 - 0.34))/500] = 0.034.

The 99% confidence interval for p is calculated by subtracting and adding the margin of error from the point estimate: (p-hat - E, p-hat + E). The 99% confidence interval is (0.34 - 0.034, 0.34 + 0.034) = (0.306, 0.374).

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Answer:

The Normal curve with the mean and standard deviations is shown below.

Step-by-step explanation:

According to the Empirical Rule in a normal distribution with mean µ and standard-deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:

The length of the thorax in a population of male fruit flies is approximately Normal.

The mean is, µ = 0.800 mm and the standard deviation is, σ = 0.078 mm.

Then:

The Normal curve with the mean and standard deviations is shown below.

Answer:

0.0625 gallons per mile

Step-by-step explanation:

To find the sample mean greater than 95% of possible sample means for a population mean of 3.25 and standard deviation of 1.75 with a sample size of 300, apply the Central Limit Theorem to calculate the standard error and use the 95th percentile z-score to compute the desired sample mean.

To find the sample mean that is greater than exactly 95% of possible sample means given a population mean (μ) of 3.25 and a standard deviation (σ) of 1.75 for a sample size (n) of 300, we use the concept of a z-score in conjunction with the Central Limit Theorem.

The Central Limit Theorem states that the sampling distribution of the sample mean will be normally distributed if the sample size is large enough. Since we have a large sample size of 300, we can assume normality. The formula for the standard error of the mean (SEM) is given by σ divided by the square root of n, SEM = σ / √n. In this case, SEM would be 1.75 / √300.

To find the specific sample mean that would exceed 95% of the sample means, we need to find the z-score that corresponds to the 95th percentile, which is typically around 1.645 for a one-tailed test (since we're looking for means greater than a value). We then multiply this z-score by the SEM and add it to the population mean. The calculation is as follows:

By carrying out these calculations, we will obtain the sample mean that is greater than 95% of possible sample means.

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The sample mean that would be greater than exactly 95% of possible sample means is approximately 3.4164.

Given that the population mean [tex](\(\mu\))[/tex] is 3.25 and the population standard deviation [tex](\(\sigma\))[/tex] is 1.75, we can use the z-score formula to find the sample mean [tex](\(\bar{x}\))[/tex] that corresponds to the 95th percentile:

[tex]\[ z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}} \][/tex]

We know that for a standard normal distribution, the z-score that corresponds to the 95th percentile is approximately 1.645 (since we want the value that is greater than exactly 95%, we use the one-tailed z-score). We can rearrange the formula to solve for [tex]\(\bar{x}\)[/tex]:

[tex]\[ \bar{x} = \mu + (z \times \frac{\sigma}{\sqrt{n}}) \][/tex]

Now we plug in the values:

[tex]\[ \bar{x} = 3.25 + (1.645 \times \frac{1.75}{\sqrt{300}}) \] \[ \bar{x} = 3.25 + (1.645 \times \frac{1.75}{\sqrt{300}}) \] \[ \bar{x} = 3.25 + (1.645 \times \frac{1.75}{17.3205080756888}) \] \[ \bar{x} = 3.25 + (1.645 \times 0.1010101010101) \] \[ \bar{x} = 3.25 + 0.16641664166417 \] \[ \bar{x} = 3.4164166416642 \][/tex]

Answer:

c

Step-by-step explanation:

a circle with circumference 18 had an arc with 120 central angle. what is the length of the arc

To find the length of a 120-degree arc in a circle with an 18-unit circumference, we apply the fraction of a full circle the angle represents to the total circumference, resulting in an arc length of 6 units.

To determine the length of an arc with a 120-degree central angle in a circle with an 18-unit circumference, we use the relationship between the angle and the circumference of the circle. By knowing that the circumference corresponds to 360 degrees, we can calculate the length of the arc for any given angle by finding what fraction of 360 degrees the angle represents and applying that fraction to the total circumference.

The formula to use is: Arc length (s) = (Angle in degrees/360) * Circumference of the circle. For an angle of 120 degrees, this becomes: s = (120/360) * 18. Doing the math, we find that s = (1/3) * 18, which simplifies to s = 6. Therefore, the length of the arc is 6 units.

Answer:

[tex]Z = 1[/tex]

Step-by-step explanation:

Z - score

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

[tex]\mu = 61, \sigma = 4[/tex]

Calculate the Z value for the next car that passes through the checkpoint will be traveling slower than 65 miles per hour.

This is Z when X = 65. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{65 - 61}{4}[/tex]

[tex]Z = 1[/tex]

Answer:

The scale doesn't start at 0. One could argue the maximum value should be 7, but this is a formatting choice.

Step-by-step explanation:

Answer:

The scale doesn't start at 0. One could argue the maximum value should be 7, but this is a formatting choice.

Step-by-step explanation: