what is the exact factorization of 12x+3xy+2zy+8z​

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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The sketch of the front elevation and the side elevation of the prism are added as an attachment

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

The prism

Using the figure as a guide, we understand that:

The front elevation is a rectangle of 2m by 0.5m

While the side elevation is a rectangle merged with a trapezoid

Next, we draw the elevations (see attachment)

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The closest option to the cone area is 923.2 m². 

A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.

To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:

A = \(\pi\)r² + \(\pi\)rℓ

where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.

First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.

h² = ℓ² - r²

h² = 19.3² - 14²

h ≈ 11.48 feet

Now we can compute the surface.

A = \(\pi\)(14)² + \(\pi\)(14)(19.3)

A ≈ 923.2 square feet

So the closest option to the cone area is 923.2 m². 

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The probability that it is less than 11.9 inches long will be 0.11304.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.

If one item is chosen at random.

Then the probability that it is less than 11.9 inches long will be

Then the z-score will be

z = (11.9 – 14.2) / 1.9

z = –1.21

Then the probability will be

P(x < 11.9) = P(z < –1.21)

P(x < 11.9) = 0.11304

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Answer:

21

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

7 x 4 = 28

33 - 5 = 28

Answer:

Step-by-step explanation:

The BAC (Blood Alcohol Concentration) of a person depends on several factors, such as the amount of alcohol consumed, the time over which the alcohol was consumed, and the weight and gender of the person. For this problem, we will assume that the woman has a normal metabolism and that the alcohol is completely absorbed into her bloodstream.

To calculate the BAC at 8 pm, we need to know the amount of alcohol that the woman consumed and the time over which she consumed it. We are given that she had 2 mixed drinks between 7-8 pm, which contained a total of 2 ounces of liquor. We are also given that she had a glass of wine at 10 pm, but we don't need to consider this for the BAC at 8 pm.

Using the Widmark formula, we can calculate the BAC at 8 pm:

BAC = (Alcohol consumed / (Body weight x r)) - (0.015 x Hours since first drink)

where r is the gender constant (0.55 for females) and 0.015 is the rate at which the liver metabolizes alcohol.

Plugging in the values we know, we get:

BAC = (2 oz / (130 lbs x 0.55)) - (0.015 x 1 hour)

BAC = 0.0208 - 0.015

BAC = 0.0058

Therefore, the woman's BAC at 8 pm was approximately 0.0058, which is below the legal limit for driving in most states in the US.

The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You have $1000 to put resources into two distinct records. To set aside the cash you really want for school, you really want to average a 6.1 percent premium. Assuming the two records pay a 3% and 7 % premium.

Let 'x' be the amount deposited in an account that pays 3% of interest. Then the amount deposited in another account that pays 7% of interest is (1000 - x). Then the equation is given as,

0.03x + 0.07(1000 - x) = 0.061 × 1000

Simplify the equation, then we have

0.03x + 0.07(1000 - x) = 0.061 × 1000

0.03x + 70 - 0.07x = 61

-0.04x + 70 = 61

0.04x = 70 - 61

0.04x = 9

x = 9 / 0.04

x = $225

Then the amount in the second account will be given as,

⇒ $1000 - $225

⇒ $775

The amount deposited in an account that pays 3% and 7% of interest will be $225 and $775, respectively. Then the correct option is D.

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Let's solve the last inequality

First, we subtract 5 from each side

Then, we divide the inequality by -2

The solution to this inequality is all the real numbers greater than 4.

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

90.2mm

Step-by-step explanation:

find the circumference and divide by two then add the two sides

circumference= 2πr=2π(16)

100.48/2= 50.24

50.24+20+20=90.24mm then round to 90.2

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Answer:

The answer is 1054ft³

Step-by-step explanation:

Volume of rectangular prism =1/3LWH

V=1/3×31/2×51/3×12

V=1054ft³

The word best describes the degree of overlap between the two data sets

O low

The degree of overlap generally refers to the extent to which two or more sets share common elements.

Specifically the degree of overlap can be defined as the number of elements that are contained in more than one of the sets being considered

In the problem the degree of overlap is low, since the data points shared only points 50 and 55

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer: -124/9 or -13.778

Step-explanation: You may not have any idea how to approach this problem but I can help. We are given some information about a number and asked to find out what number it is. Since we don't know what the number is, we can say that it is X (a variable).

If you double X and add 28 you get 4/9. Doubling X can be represented as 2X. If we add 28 to that, we get 2X+28. We are told we get 4/9 which means that 2X + 28 is equal to 4/9 or 2x + 28 = 4/9.

We have now built an algebraic equation for X. We can now simply solve for X.

2X + 28 = 4/9

2X + 252/9 = 4/9   Rewrite 28 as 252/9 so we have common denominators

2X = -248/9            Subtract 252/9 from both sides

X = -124/9               Divide by 2 on both sides and we get X

Whenever you are given a problem similar to this one, try to create an algebraic equation or expression that can model the problem. A variable can represent the number you are trying to find.

Hope this helps!

Answer:

the solution to the equation is m = 28/3, or approximately 9.3333

Step-by-step explanation:

To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:

3m/2/3 = 7

(2/3) * (3m/2/3) = (2/3) * 7

3m/2 = 7 * (2/3)

3m/2 = 14/3

Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:

(2) * (3m/2) = (2) * (14/3)

3m = 28/3

Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:

(3m) / 3 = (28/3) / 3

m = 28/3

Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.

Answer:

Maybe m = 14/9

Maybe m = 14

Step-by-step explanation:

It is not clear what you mean by the fraction on the left side.

Do you mean

3m/(2/3) = 7  ?

If so:

3m = 7 × 2/3

3m = 14/3

m = 14/9

Do you mean

(3m/2)/3 = 7   ?

If so:

3m/2 = 21

m = 21 × 2/3

m = 14

Do you mean something else?

A scatter plot visually represents the relationship between two variables. It shows a positive correlation between the number of books read per month and SAT Verbal Test scores, with the equation y = 6.4828x + 520.6962.

A scatter plot is a graphical representation of a set of data that allows the observer to observe the relationship between two variables. It is used to graphically display how one variable is affected by the other. It is a chart of data points plotted on a two-dimensional graph with one variable represented on the X-axis and the other variable on the Y-axis.

Scatter Plot of the Data: From the data provided by the Language Arts department, we can create the scatter plot as shown below:
Equation of the line of best fit: The line of best fit is a straight line that is used to model the relationship between the two variables. It is determined by minimizing the sum of the squares of the differences between the observed values and the predicted values.

From the scatter plot, we can see that there is a positive correlation between the number of books read per month and the score on the SAT Verbal Test. This suggests that the more books a student reads per month, the higher their score on the SAT Verbal Test.

The equation of the line of best fit for the given data set is y = 6.4828x + 520.6962. Here, y represents the score on the SAT Verbal Test and x represents the number of books read per month.

To find the equation of the line of best fit, we can use a regression analysis tool such as Excel. The regression analysis will give us the values of the slope and intercept of the line of best fit, which we can use to write the equation of the line.

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Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

The surface area of the square Pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

The surface area of a square pyramid, we need to calculate the area of each face and then sum them up.

A square pyramid has four triangular faces and one square base. The area of the base is equal to the side length squared, while the area of each triangular face can be found using the formula: (1/2) * base * height.

Given that the side length of the square pyramid is 2 yards and the slant height is also 2 yards, we can calculate the surface area as follows:

Area of the base = (side length)^2 = 2^2 = 4 square yards

Area of each triangular face = (1/2) * base * height = (1/2) * 2 * 2 = 2 square yards

Now, let's calculate the total surface area of the square pyramid:

Total surface area = Area of the base + 4 * Area of each triangular face

Total surface area = 4 + 4 * 2 = 4 + 8 = 12 square yards

Therefore, the surface area of the square pyramid with a side length of 2 yards and a slant height of 2 yards is 12 square yards.

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Answer:

Last I checked, its a fish

Step-by-step explanation:

Answer:

The answer is tennis ball

Step-by-step explanation:

Clearly 1+1=11 and since 11 - sock = football you subtract

football- soccer ball = tennis ball

ah duh                   (☞ﾟヮﾟ)☞                      ༼ つ ◕_◕ ༽つ

The percentage error in the volume calculation is estimated to be 24%.

The formula for the volume of a sphere is V = (4/3)πr³

where;

Since the diameter is given as 50 ± 4 cm, the radius can be calculated as:

r = (1/2)d = (1/2)(50 ± 4) cm = 25 ± 2 cm

The percentage error in the radius is:

Δr/r = (2 cm) / (25 cm) = 0.08

This means that the radius measurement has an error of 8%.

Using the formula for the volume of a sphere, we can calculate the volume as:

V = (4/3)π(25 ± 2)³ = (4/3)π(27 ± 18) × 10³ cm³

The percentage error in the volume calculation can be found by:

ΔV/V = (Δr/r) × 3

ΔV/V = 0.08 × 3 = 0.24 = 24%

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According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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Answer:

Quadrant V

Step-by-step explanation:

A co-ordinate graph only has 4 quadrants!

Ten times to get the required amount of 100ml of milk for her recipe.

Avery needs to measure 100ml of milk for her recipe but she only has a 10ml measuring cup.

Therefore, she needs to determine how many times she will need to fill her 10ml measuring cup to get the required amount of milk.

To calculate this, we can divide the required amount of milk by the capacity of the measuring cup. In this case, we divide 100ml by 10ml to get:

100ml ÷ 10ml = 10

This means that A very will need to fill her 10ml measuring cup 10 times to get the required amount of milk for her recipe.

Another way to think about it is to consider that 100ml is ten times the capacity of the 10ml measuring cup. Therefore, Avery will need to fill the measuring cup ten times to get the required amount of milk.

In summary, Avery will need to fill her 10ml measuring cup ten times to get the required amount of 100ml of milk for her recipe. t

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The dimensions of the circles are as follows

1. Chord AB = 9

2. Chord FG = 6

3. Chord KM = 8

4. Arc length XY = 105 degrees

5. Arc length TU = 85 degrees

6. Arc length TU = 130 degrees

7. QS is the diameter because it bisects the chord and perpendicular to the chord

8. QS is not a diameter because it does not bisect the chord

9. QS is not a diameter because it is not perpendicular the chord

Chords with matching measurements share congruence due to being equidistant from the circle's center.

Congruent radii stem from each chord midpoint, indicating two equivalent right triangles are created; therefore, their respective intercepted arcs also equal in degree measurement.

Therefore, if two chords possess uniform lengths, they will intercept equal degrees along the circle.

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