Jeanie buys 4 pairs of jeans at "x" dollars each and a shirt for $5.99. Her total
purchase is $77.95. What is the cost of each pair of jeans?

Answer:

2640mm

Step-by-step explanation:

I'm assuming you need the area of the rectangle which the circles don't take up.

First, to find the area of the whole rectangle:

length x width

to find length:

the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm

to find width:

the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm

So, area of rectangle = 64 x 192 = 12288mm

Now to find the area the circles take up:

area of 1 circle =

\(\pi \times {r}^{2} \)

=

\(\pi \times {32}^{2} \)

=

\(1024\pi\)

As we have 3 circles, we multiply this by 3:

\(1024\pi \times 3 = 3072\pi\)

Finally we subtract the area of the three circles from the area of the rectangle:

\(12288mm - 3072\pi = 2637\)

As we need to round it to 3 significant figures, the answer is 2640mm

9514 1404 393

Answer:

Step-by-step explanation:

Often, you can work these problems in your head.

If you sold all cookies, your revenue would have been 27×3 = 81. It was 129-81 = 48 more than that. Each muffin generates 4 more revenue than a cookie dies, so there must have been 48/4 = 12 muffins. The 27-12 = 15 were cookies.

You sold 15 cookies and 12 muffins.

__

If you let a variable represent the most expensive item (m for muffins), then you can write an equation for the revenue. You may recognize that some of the steps in the solution match the "verbal" solution above.

  3(27 -m) +7m = 129

  4m +81 = 129

  4m = 129 -81 = 48

  m = 48/4 = 12 . . . muffins

  27-12 = 15 . . . cookies

Rounding to two decimal places, the confidence interval of the mean length of stay for patients who have had abdominal surgery is (5.03, 6.37).

To find the 95% confidence interval for the mean length of stay for patients with abdominal surgery, we can use the formula:

CI = \(\bar{X}\) ± Z * (σ / √n)

where:

CI = Confidence Interval

\(\bar{X}\) = Sample mean

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)

σ = Population standard deviation (since we don't have the population standard deviation, we'll use the sample standard deviation as an estimate)

n = Sample size

Given the information:

Sample mean (\(\bar{X}\)) = 5.7 days

Sample standard deviation (σ) = 1.6 days

Sample size (n) = 22

When the values are entered into the formula, we obtain:

CI = 5.7 ± 1.96 * (1.6 / √22)

Calculating this, we find:

CI = 5.7 ± 1.96 * (1.6 / 4.69)

CI = 5.7 ± 1.96 * 0.341

CI = 5.7 ± 0.668

Rounding to two decimal places, the confidence interval of the mean length of stay for patients who have had abdominal surgery is (5.03, 6.37).

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The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).

A histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is a type of bar graph that displays the number of values within each bin or interval. The bins are usually of equal size, and the height of each bar indicates the frequency of the values within the bin. Histograms are used to display the distribution of data, allowing a quick visual representation of the data.= (Number of Data Points in Bin) / (Total Number of Data Points)

suppose we have a set of data with the following values: 4, 5, 6, 7, 8, 9, 10, 11, 12. To construct a histogram, we would first divide the data into bins of equal size. In this case, we could use bins of size 2, so the bins would be 4-5, 6-7, 8-9, and 10-11. We would then count the number of data points in each bin, resulting in the following: 4-5: 2 data points; 6-7: 2 data points; 8-9: 2 data points; 10-11: 2 data points. To calculate the histogram we would take the number of data points in each bin, and divide it by the total number of data points (8). This would give us the following histogram: 4-5: 2/8; 6-7: 2/8; 8-9: 2/8; 10-11: 2/8.

In summary, a histogram is a graphical representation of data which displays how often certain values occur within a set of data. It is constructed by dividing the data into bins of equal size, and the height of each bar indicates the frequency of the values within the bin. The formula for calculating a histogram is (Number of Data Points in Bin) / (Total Number of Data Points).

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Complete question:

What is a histogram and how is it calculated?

Answer:

Please check the formatting when posting.  I'll assume there are "+" signs connecting the last 2 numbers of each group.

Step-by-step explanation:

−8

4

3

is = -1

------

Third problem down is the same:

−8

4

3

= - 1

Answer:

\(x=-2\)

Step-by-step explanation:

In this case, our slope is undefined. We know this because the slope never changes in the x direction:

\(m=\frac{x}{0}\)

Thus, we can only conclude that the equation is simply \(x=-2\) since a y component is not possible.

Answer:

The quadratic equation is: \(y=x^2-36\)

Step-by-step explanation:

If the roots of the quadratic equation are "-6" and "6", then it must have the following factors:  \((x+6)\,\, and \,\,(x-6)\)

Therefore, we can write the equation in factor form as:

\(y=a\,(x+6)\,(x-6)\)

where a is a real number constant factor. Now, this equation in standard form will look like:

\(y=a\,(x^2+6x-6x-6^2)=a\,(x^2-36)=ax^2-36\,a\)

Therefore, using the information about the leading coefficient being "1" (one), we derive that the constant  factor \(a\) must be "1". The final expression for the quadratic becomes:

\(y=x^2-36\)

A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:

3*sqrt13

Step-by-step explanation:

You search for hypotenuse

Squared hypotenusw is equal to 6^2+9^2= 36+81=117

Hypotenuse is equal to sqrt117= sqrt9*sqrt13= 3*sqrt13

Answer:

5x^3-2

Step-by-step explanation:

Two less than the product of 5 and the cube of a number.

The product of 5 and the cube of a number can be translated to look like 5x^3.

You then take 5x^3 and subtract 2 to get 5x^3-2.

Answer: 2 4/25

Step-by-step explanation: You can only multiply 25 * 2 to get 50 and the remaining is 4 over 25. Hence, the mixed fraction of 54/25 is 2 4/25. Hope this helped! =)

Answer:

I cant tell you the answer but think of this formula.

Step-by-step explanation:

The simple conditions for introducing basic ideas about inference for µ do not include C) a known value of the population mean µ.

In statistical inference, the goal is to make inferences or draw conclusions about population parameters, such as the population mean (µ), based on sample data. The conditions necessary for making these inferences typically involve assumptions about the sample and population.

The simple conditions for introducing basic ideas about inference for µ include:

A) A simple random sample: This condition ensures that each individual in the population has an equal chance of being selected for the sample. It helps to minimize bias and allow for generalization from the sample to the population.

B) A measure of interest that follows a Normal distribution exactly: Many statistical inference procedures, such as confidence intervals and hypothesis tests, rely on the assumption that the sample mean or the sampling distribution of the mean follows a Normal distribution, particularly for large sample sizes.

D) A known value of the population standard deviation σ: This condition refers to cases where the population standard deviation is known and can be used in the inference procedures. However, in practice, the population standard deviation is often unknown, and estimation methods are employed.

C) A known value of the population mean µ: This condition is not included in the simple conditions for introducing inference for µ. In most cases, the population mean is unknown and is the parameter of interest that we want to estimate using the sample data.

Therefore, the correct answer is C) a known value of the population mean µ.

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Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

To determine when tan(theta) is undefined on the unit circle, we need to remember the definition of the tangent function.
Tangent is defined as the ratio of the sine and cosine of an angle. Specifically, tan(theta) = sin(theta)/cos(theta).

Now, we know that cosine can never be equal to zero on the unit circle, since it represents the x-coordinate of a point on the circle and the circle never crosses the x-axis. Therefore, the only way for tan(theta) to be undefined is if the cosine of theta is equal to zero.
There are two values of theta on the unit circle where cosine is equal to zero: pi/2 and 3pi/2.

At theta = pi/2, we have cos(pi/2) = 0, which means that tan(pi/2) = sin(pi/2)/cos(pi/2) is undefined.
Similarly, at theta = 3pi/2, we have cos(3pi/2) = 0, which means that tan(3pi/2) = sin(3pi/2)/cos(3pi/2) is also undefined.
Therefore, the answer is option C: theta = pi/2 and theta = 3pi/2.

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In general, 62% of the values in a data set lie at or below the 62th percentile. 76% of the values in a data set lie at or above the 76th percentile. If a sample consists of 900 test scores, 504 of them would be at or below the 56th percentile. If a sample consists of 900 test scores, 540 of them would be at or above the 40th percentile.

A percentile is a comparison score among a particular score and the scores of the rest of a group. It presents the percentage of scores which a particular score surpassed. For example, if you score 85 points on a test, and are ranked in the 75th percentile, this means that the score 85 is higher than 75% of the scores. In general, percentile defines the percentage of a data set which is below or at a value which is being considered.

Thus, the percentage of the values of a data set that lies below or at the 62th percentile is 62%.

And also, the values of a data set that lies below or at the 76th percentile is 76%.

Given a sample of 900 test scores, the number of test scores that will be at or below the 56th percentile is 56% of 900 which is mathematically represented as:

n = 56% x 900

n = 56/100 x 900

n = 504 test scores

Given a sample of 900 test scores, the number of test scores that will be above the 40th percentile is (100 - 40 = 60) % of 900 which is mathematically represented as:

n = 60% x 900

n = 60/100 x 900

n = 540 test scores

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Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

Answer:

I believe opposing angles are parallel, so it would be 98

Step-by-step explanation:

The birth weights of full-term babies are normally distributed with a mean of 3400 grams and a standard deviation of 505 grams is 4058.4 grams.

The normal distribution is represented by the following equation:

Z = (X - μ)/σ

Where, Z = the standard score

X = the variable of interest

μ = the population mean

σ = the population standard deviation

For any value of z, the area under the normal curve to the left of that value of z is given by the cumulative probability P(z).

By the central limit theorem, when n is big enough, the distribution of the sample means is normal. Assume that the sample size n is big enough to satisfy this condition.

Then, the formula for the z-score is as follows:

z = (x - μ) / (σ/√n)

z = (x - 3400) / (505/√n)

The following formula calculates the 90th percentile (z-score) of a standard normal distribution:

z = 1.28Let's substitute this value into the formula we've just derived:

1.28 = (x - 3400) / (505/√n)

√n = (x - 3400) / (505/1.28)

√n = (x - 3400) / 394.53125

n = 155.809 + 0.25(x - 3400)^2x = 3400 + 1.28 (505) = 4058.4

Therefore, the weight of a baby at the 90th percentile is 4058.4 grams.

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Answer:

He will have it on the 15th day

Answer:

x=2, y=0

Step-by-step explanation:

Answer:

4th one

Step-by-step explanation:

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

The answer is P and R

Answer:

Q and R

Step-by-step explanation:

to be similar all sides must have the same scaling factor :

the factor from 2 to 8 is 4.

and the factor from 3 to 12 is also 4.

therefore, these 2 parallelograms are similar.

this will provide you the answer

Answer:

let x be.the number, then

x^2 * (-11) = -11x^2

Answer:

No

Step-by-step explanation:

5+7=12

12>13 X

13+5=18

18>13 YES

13+7=20

20>5 YES

If all equations were true, it would make a triangle, but since only 2 are true, it doesn't make a triangle.

---

hope it helps

Answer:

the answer is exact 96mm

Each element has its own story to tell and potential applications to explore, making the study of chemistry and the periodic table an endlessly fascinating endeavor.

However, it is important to note that the concept of "uninteresting" is subjective and can vary from person to person. What one individual may find uninteresting, another might find fascinating.

Therefore, it is not accurate or fair to label any specific periodic element as the "most uninteresting."

Every element on the periodic table has its own unique properties, characteristics, and applications. Each element contributes to the vast diversity of the chemical world and plays a crucial role in various fields such as chemistry, physics, biology, and materials science.

Whether it's the inert noble gases, the reactive alkali metals, or the versatile transition metals, each element offers its own significance and contributes to our understanding of the natural world.

It is more appropriate to approach the periodic table with curiosity and appreciate the remarkable array of elements, rather than singling out one as uninteresting.

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Answer:

I would say A

Step-by-step explanation:

Answer:

that would be -9 since it's an isosceles triangle, which two base angles are the same, so that would add to 100. substitute -9 for x and add them to get 80. add all the angles and you get 180.

To reach the break-even point, the publisher should sell 40,000 books.

A break-even point (BEP) is the point where revenues = total cost. Hence, at this point, the company does not gain profit or loss.

On the other hand, total cost is calculated as:

Total cost = fixed cost + variable cost

Where variable cost depends on the number of units produced.

Therefore,

Total cost = fixed cost + number of unit produced x cost per unit

Parameters given in the problem:

fixed cost = h. 400,000

unit cost = h. 35

selling price = h.45 per unit

Let p be the number of books sold. Then,

Revenues = 45 x p

Total cost = 400,000 + 35 x p

At break-even point:

Revenues = total cost

45 x p = 400,000 + 35 x p

10 p = 400,000

p = 40,000

Hence, the break-even point is 40,000 books

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