a single-serving coffee machine is programmed to dispense 12 ounces of coffee per serving. occasionally, the machine will start to overfill or underfill cups of coffee and require recalibration. according to the company, the coffee machine requires recalibration if it underfills or overfills cups of coffee by 0.5 or more ounces. determine the probability that a randomly selected cup of coffee was underfilled or overfilled by more than 0.5 ounces. assume the distribution of the amounts of all coffee dispensed by the machine are normally distributed with a mean of 12 ounces and a standard deviation of 1.18 ounces.

As per the measures of given triangle, the measure of the third side is 65°

The term triangle in math is defined as a three-sided polygon, which has three vertices.

Here we have know that the three sides are connected with each other end to end at a point, which forms the angles of the triangle.

Here we have given that Geoffrey draws a triangle, one of the angles measure 75 and one of the angles measure 40

As we all know that the sum of all three angles of the triangle is equal to 180 degrees.

Then let us consider that the third side is x.

Then it can be calculated as,

=> 75 + 40 + x = 180

=> 115 + x = 180

=> x = 180 - 115

=> x = 65°

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Answer:

-6

Step-by-step explanation:

16x-21x-16=21x-21x+14

Than -5x-16+16=14+16

-5x/5=30/5

=-6

Answer:

c, it was worth 2 dollars when bought.

Step-by-step explanation:

Answer: D. At year 0 it was worth $4.

Step-by-step explanation:

the x axis is the years (t) and at 0 the price (y axis) was at 4.

Answer:

Technically, it depends on which school you attend, which state, city, or area you live in, and if you have an honor-based program or just the basic class. Although, in the basic level of 8th grade, you will learn measurements, a bit of geometry, algebra, and probability.

Hope this helps and good luck!

The formula for standard error that applies to this problem is SE = sqrt[p(1-p)/n], where SE represents the standard error, p represents the probability of success, and n represents the sample size. In this case, N represents the population size, but it is not necessary for calculating the standard error.

Substituting the values given in the problem, we have:

SE = sqrt[0.45(1-0.45)/44] = 0.0717 (rounded to four decimal places)

Therefore, the standard error for this problem is 0.0717. This value represents the degree of variability or uncertainty in the sample proportion, or the degree to which the sample proportion is likely to deviate from the true population proportion. A larger sample size or a more extreme probability of success (closer to 0 or 1) would result in a smaller standard error, indicating greater precision in the estimate of the population proportion.

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Step-by-step explanation:

(-2a^2b^3)(4ab^5)(6a^3b^2)
First let's solve by distributing
-48a^2b^3ab^5a^3b^2
Now simplify like terms
-48a^6b^3b^5b^2
Now add the b values using the law of multiplying exponents
-48a^6b^10

Step-by-step explanation:

Since we have given that

Total no. if students= 34

no. of girls = 19

so, percentage of the class are girls is given by

\( \frac{number \: of \: girls}{total \: number \: of \: students} = \frac{19}{34} \times 100 \\ = 55.88 \: percentage\)

True, it can take longer to collect the data for a large-scale linear programming model than it does for either the formulation of the model or the development of the computer solution.

Collecting the data for a large-scale linear programming model can be a time-consuming process. This is because the data required for the model may come from various sources and need to be collected, verified, and formatted in a way that can be used by the programming and development teams. Additionally, the data may need to be cleaned and processed to ensure that it is accurate and consistent before it can be used in the model. This process can be time-consuming and can take longer than either the formulation of the model or the development of the computer solution. However, it is important to note that the accuracy and completeness of the data is critical to the success of the linear programming model, and taking the time to collect and verify the data is essential for achieving optimal results.

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The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

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Answer:

\(\boxed {\boxed {\sf B. \ 4}}\)

Step-by-step explanation:

We are given the following equation.

\(3(x-2)=6\)

We are solving for x, so we must isolate the variable using the inverse operation.

(x-2) is being multiplied by 3. The inverse operation of multiplication is division, so we divide both sides of the equation by 3.

\(\frac {3(x-2)}{3}= \frac{6}{3}\)

\((x-2)= \frac{6}{3}\)

\((x-2)= 2\)

2 is being subtracted from x. The inverse operation of subtraction is addition, so we add 2 to both sides of the equation.

\((x-2)+2= 2+2\)

\(x=2+2\)

\(x=4\)

Check the answer by plugging 4 in for x in the original equation.

\(3(x-2)= 6\)

\(3(4-2)= 6\)

\(3(2)= 6\)

\(6=6\)

This checks out, so we know our answer is correct. x is equal to 4 and choice B is correct.

The volume of material in the wall of the open cylinder, expressed as a polynomial function in terms of \(\(r\)\), is \(\(18\pi - 4\pi r^2\) cm^3\) .

To find the volume of material in the wall of the open cylinder, we need to calculate the difference between the volume of the outer cylinder and the volume of the inner cylinder. The outer cylinder has a radius of \(\(r + 2\)\)cm, while the inner cylinder has a radius of \(r\) cm. The length of both cylinders is \(9r\) cm.

The volume of the outer cylinder can be calculated using the formula: \(\(V_{\text{outer}} = \pi \cdot (r + 2)^2 \cdot 9r\) cm^3\).

The volume of the inner cylinder can be calculated using the formula: \(\(V_{\text{inner}} = \pi \cdot r^2 \cdot 9r\) cm^3\).

To find the volume of material in the wall, we subtract the volume of the inner cylinder from the volume of the outer cylinder:

\(\[V_{\text{wall}} = V_{\text{outer}} - V_{\text{inner}} = \pi \cdot (r + 2)^2 \cdot 9r - \pi \cdot r^2 \cdot 9r= 9\pi r(r + 2)^2 - 9\pi r^3= 9\pi r[(r + 2)^2 - r^2]= 9\pi r[4r + 4].\]\)

Simplifying further:

\(\[V_{\text{wall}} = 36\pi r^2 + 36\pi r \text{ cm}³ = 36\pi(r^2 + r).\]\)

Therefore, the volume of material in the wall of the open cylinder, expressed as a polynomial function in terms of \(r\), is \(\(18\pi - 4\pi r^2\) cm^3\) .

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Given

Answer

Since it is given

KJ=KL

HK=HK (Common)

The only condition to show SSS congruency is HJ = HL

Hey there!

\(Answer:\boxed{\text{4 rows and 3 columns}}\)

\(Explanation:\)

A matrix has 4 rows and 3 columns. 4 rows means it has 4 system of equations and 3 columns means 3 variables in the system of equations. 3 columns means like x, y, z.

Hope this helps!

Answer:

3

Step-by-step explanation: e3

Answer:

2,400h

Step-by-step explanation:

You multiply the amount of skiers per hour (2,400) by the amount of hours (h).

Answer:

what do you need help with

Since the x's both are to a power and have exponents outside of the parenthesis, we multiply the inner exponent by the outer exponent.

x^-150 / x^-144

Then, we need to move the bottom term to the top so that we have no negative exponents. Now, we are technically subtracting, but subtracting a negative is the same thing as adding.

x^(-150 + 144)

x^-6

Hope this helps!

Answer:

so your answer is -6

Step-by-step explanation:

\(\frac{(x^2^5)^-^6}{(x^-^3)^4^8}\)  Did i write the equation right? If so you would multiply the exponents

x^-150                                                                            x^144

----------   so you then flip the two and get                  ----------

x^-144                                                                            x^150

then you would subtract the exponents like this 144-150= -6

The value of p in the given equation is -1.

Given is an equation p-3 = -4, we need to find the value of p,

So,

p-3 = -4

p = -4+3

p = -1

Hence, the value of p in the given equation is -1.

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Answer:

D. 11.4 (If C is the hypotenuse)

Step-by-step explanation:

11^2 + 3^2 = 130

sqrt 130= 11.4

Answer: I don`t know but I set up a pull for you in Quizizz so the answers should start coming in so just be patient thank you for asking

Step-by-step explanation:

The population for this study is all hotel managers in hotels of size 200 to 500 rooms in Chicago and Detroit.

The major shortcomings in the obtained data are the small sample size (only 100 out of 400 managers responded) and the potential for response bias (managers who are more satisfied or dissatisfied with their computer systems may be more likely to respond to the survey).

Confidence interval for a population mean with a known standard deviation:

\(CI = \bar x \± z\times (\sigma/\sqrt n)\)

\(\bar x\) is the sample mean, \(\sigma\) is the population standard deviation (assumed to be 1.75), n is the sample size (100), and z is the z-score corresponding to the desired level of confidence (95% corresponds to a z-score of 1.96).

Substituting the given values, we have:

\(CI = 5.396 \± 1.96\times (1.75/\sqrt 100)\)

\(CI = 5.396 \± 0.34\)

\(CI = (5.056, 5.736)\)

The 95% confident that the true population mean for satisfaction with ease of use of computer systems for hotel managers in hotels of size 200 to 500 rooms in Chicago and Detroit is between 5.056 and 5.736.

To repeat this survey many times and construct a 95% confidence interval based on each sample, about 95% of the intervals would contain the true population mean for satisfaction with ease of use of computer systems.

The same formula as in part B, but with a z-score of 2.58 (corresponding to 99% confidence), we have:

\(CI = 4.398 \± 2.58\times (1.75/\sqrt 100)\)

\(CI = 4.398 \± 0.45\)

\(CI = (3.948, 4.848)\)

The 99% confident that the true population mean for satisfaction with level of computer training for hotel managers in hotels of size 200 to 500 rooms in Chicago and Detroit is between 3.948 and 4.848.

To repeat this survey many times and construct a 99% confidence interval based on each sample, about 99% of the intervals would contain the true population mean for satisfaction with level of computer training.

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The h'(3) = h'(x)|x=3 = 22. We can see from the calculation that the value of h'(3) depends on the slopes of both f(x) and g(x) at x=3, as well as their values at x=3.

To evaluate h'(3) for h(x) = f(x) * g(x), we will use the product rule. The product rule states that if h(x) = f(x) * g(x), then h'(x) = f'(x) * g(x) + f(x) * g'(x).
Given the graphs of f(x) and g(x), we need to find the values of f(3), g(3), f'(3), and g'(3).
1. Locate the point x = 3 on the graph of f(x) and determine the value of f(3).
2. Locate the point x = 3 on the graph of g(x) and determine the value of g(3).
3. Determine the slope of the tangent line at x = 3 on the graph of f(x), which represents f'(3).
4. Determine the slope of the tangent line at x = 3 on the graph of g(x), which represents g'(3).
Once you have the values of f(3), g(3), f'(3), and g'(3), plug them into the product rule formula:
h'(3) = f'(3) * g(3) + f(3) * g'(3)
After calculating, you'll get the value of h'(3). Please refer to the graphs of f(x) and g(x) to obtain the necessary values and complete the evaluation.

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Answer:

1350

Step-by-step explanation:

A regular dodecagon has 12 congruent sides.

Find the sum of the interior angles:

180∘⋅ (12−2)= 180∘  ⋅10

= 1800 /12 = 150∘

Divide the sum of the interior angles by the number of interior angles

Multiply by 9:

150 ∘ ⋅9= 1350

The sum of 9 angles of a regular dodecagon is 1350

The sum of 9 interior angles of the dodecagon is A = 1350°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180 ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the polygon be represented as P

Now , P = dodecagon

The number of sides for P = 12 sides

And , sum of interior angles = (n - 2) x 180° , where n is the number of sides

The sum of interior angles = (12 - 2) x 180°

The sum of interior angles = 10 x 180°

The sum of interior angles = 1800°

To find the sum of 9 of the interior angles, we can divide the total by 12 (the number of angles in the dodecagon) and then multiply by 9:

The sum of 9 interior angles = (9/12) x 1800°

The sum of 9 interior angles = 1350°

Hence , the sum of 9 of the interior angles of a regular dodecagon is 1350°

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Answers

2x+3y=4

A=2 , B=3 , C=4

step by step:

2x+3y=2  the slope is -2/3

3y=-2x+2

y=-2/3 x+2

parallel line have the same slope: -2/3

the equation of parallel line that passes through point (2,0) y=mx+b

find b

2(2)+3(0)=b

4+0=b

b=4

the equation will be

2x+3y=4

to check : graph the equations:

Answer:

You can . , ... : ' , .

it D  that the fertilizer with the urea supplement is more effective than the fertilizer without it.

A histogram is the way of representation of data that is utilized to appear the frequency distribution utilizing the rectangle comparable to a bar graph. in order to decide which fertilizer is superior for plant development Farmers conducted a survey consisting of one fertilizer containing an urea supplement, whereas the other does not contain a urea supplement. in which they haphazardly chose 20 plants of the same species developing in their region. ten out of 20 on which the urea-enhanced fertilizer was applied and the rest with the non-urea fertilizer on the other 10 plants.  So After three months At just the beginning of the month, 4 plants showed normal development with the urea supplement, whereas as it were 2 plants appeared to this development when urea isn't supplied. for the second month, 7 plants showed normal development with urea supplement, whereas  4 plants appeared this growth when urea isn't supplied and in the last month of the experiment, 5 plants showed over normal development.

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Answer:

15

Step-by-step explanation:

Use PEMDAS for the order of operations. -3 times 5 is -15. 15 plus 15 is 30, minus 15 is 15.

Hope this helps! If it does, please mark me brainliest. Thank you so much! ;)

Answer:

15

Step-by-step explanation:

3*5=15 -----> order of operations (PEMDAS)

15+15-15=15

The angle of depression should be 26.57 degrees so the security camera should be directed downwards from the wall.

To find the angle of depression, we can use the tangent function. Let's call the angle of depression "θ". The tangent of an angle is equal to the opposite side (the difference in height between the camera and the spot) divided by the adjacent side (the horizontal distance between the camera and the spot). So, in this case:

tan(θ) = 6/12 = 1/2

Now that we have the tangent value, we can use the inverse tangent function (arctan) to find the actual angle:

θ = arctan(1/2)

Using a calculator, we can find that the angle of depression is approximately 26.57 degrees. So the security camera should be directed downward at an angle of 26.57 degrees to be directed at the spot 6 feet above the floor and 12 feet from the wall.

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