to guarantee that cans of soda are properly filled, some cans are sampled and the amounts measured. the overall average for the samples is 12 ounces. each sample contains 10 cans. the average range is 0.4 ounces. the lower control chart limit for the sample averages would be

Answer:

2 percent

Step-by-step explanation:

We can use two separate fractions, one representing the amount of physics majors expected and the amount of seniors expected in physics majors by the university.

\(\frac{400x}{66} = \frac{400}{3600}\)

Now cross multiply.

\(\frac{66*400}{400x * 3600}\)

x will be removed.

\(\frac{26400}{1320000}\)

Simplifying this fraction will get you \(\frac{1}{50}\), which in percentage form, will be 2 percent.

Answer:

(1, No, No) (2, No, Yes) (3,  6x^2+10) (4, 2x^2-3) (5,  x^2-x) (6, -2x^4+12x+3)

(7,  3x^3+15x^2+20)  (8, 9x^3 + 4x^2+8x)  (9, xy+2x+6y+5) Sorry didn't have an answer for 10. I hope they are all correct sorry for the wait.

Step-by-step explanation:

The probability P(A and B)  that both events will occur is 8/13

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

Event A = 6 and 6

Event B = 20 and 6

Event A and B = 6

Total = 6 + 6 + 20 + 6 - 6 + 20 = 52

Using the above as a guide, we have the following:

P(A) = 12/52

P(B) = 26/52

P(A and B) = 6/52

The probability that both events will occur is represented as

P(A and B) = P(A) + P(B) - P(A and B)

And this is calculated as

P(A and B) = P(A) + P(B) - P(A and B)

Substitute the known values in the above equation, so, we have the following representation

P(A and B) = 12/52 + 26/52 - 6/52

Evaluate

P(A and B) = 32/52

Simplify

P(A and B) = 8/13

Hence, the probability that both events will occur is 8/13

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More information is needed.

The considerations include drawing a free-body diagram, leveling the rotating platform, and ensuring the string is parallel to the platform to maintain uniform circular motion.

1) A free-body diagram for the rotating mass in this experiment would include the following forces:

2) It is necessary to level the rotating platform to ensure uniform circular motion. If the base is not level, the motion of the revolving mass would be affected in several ways.

Firstly, it would introduce an additional horizontal component of the weight, leading to an unbalanced force and causing the mass to move horizontally.

Secondly, it would result in an uneven tension in the string, leading to an uneven centripetal force and causing the mass to deviate from a circular path.

3) It is important that the string attached to the revolving mass be parallel to the platform to maintain a constant radius throughout the circular motion.

If the string is not parallel to the platform, it would introduce an angular component to the tension force, which would change the direction of the net force acting on the mass and cause it to move in a curved or elliptical path rather than a perfect circle.

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The number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is y = 12 - 1.25x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Tara bought 12 yards of fabric to make tote bags and each bag requires 1.25 yards of fabric.

The equation that describes the number of yards of fabric remaining, y, depends on the number of tote bags Tara sews, x is

y = 12 - 1.25x.

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Answer

4 doughnuts

Step-by-step explanation:

.25 times 2 is .5

5.5-.5=5

5/1.25=4

Answer:

B

Step-by-step explanation:

since x + 0.2x = x(1+0.2) = 1.2x

(20% = 20/100 = 0.2

so 20% of x is 0.2x)

Answer:

First, find the value of x:

\(h(5-x)=h(9)\\5-x=9\\-x=9-5\\-x=4\\x=-4\)

Substitute the x-value in to the function \(x^{2}+x+1\) and solve:

\((-4)^{2}+(-4)+1=16-4+1=12+1=13\)

Therefore, the value of h(9) = 13.

Hope this is correct O-o

Answer:

A

Step-by-step explanation:

Since we need to find the value of h(9), we can substitute the (5-x) part from the original equation with 9 to get the value of x, which is 5-x = 9, x = -4. With that, we can go ahead and plug the x into the right side of the equation to get (-4)^2 + (-4) + 1, which equals 16 - 4 + 1, which equals 13.

I hope this helped! Please do let me know if you have further questions :D

Answer:

The answer is 24 ( your welcome)

Step-by-step explanation:

a squared + b squared= c squared

c squared/ a squared= b squared

Answer:

If it continues its not if it stops it is.

Step-by-step explanation:

Answer:

Yes, if.

Step-by-step explanation:

If you see a line over one or more of the numbers, it is repeating (as there are no dots following the last term, which also signifies repeating). If so, it is a terminated decimal.

~

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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If the length of a rectangle is 7 centimeters less than five times its width, the dimensions of the rectangle are 2 cm × 3 cm.

Let x be the width of the rectangle in centimeters. Then, the length of the rectangle is 5x - 7 centimeters.

The formula for the area of a rectangle is A = lw, where A is the area, l is the length, and w is the width. In this case, we are given that the area is 6 square centimeters, so we can set up the equation:

6 = (5x - 7)x

Expanding the expression on the right side, we get:

6 = 5x² - 7x

Moving all terms to one side, we obtain:

5x² - 7x - 6 = 0

We can now solve for x using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 5, b = -7, and c = -6.

Plugging in these values, we get:

x = (7 ± √(7² - 4(5)(-6))) / 2(5)

x = (7 ± √(169)) / 10

x = (7 ± 13) / 10

The two possible values for x are x = 2 and x = -1/5. Since the width cannot be negative, we reject the negative solution and conclude that the width of the rectangle is 2 centimeters. Therefore, the length of the rectangle is 5(2) - 7 = 3 centimeters.

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Answer and Step-by-step explanation:

When making a perpendicular line, you take 2 points on a straight line.

- You put the compass on the two points, making marks above and below to be able to draw the line.

When making an angle bisector line, you use the angle and 2 points to make a straight line that will bisect the angle.

- You put the compass on the angle, making an arc from the two lines that join to make the angle. Then, you put your compass on where the arc meets the lines, and make a mark, which you then draw a line through.

#teamtrees #PAW (Plant and Water)

Answer:

108 pens

Step-by-step explanation:

48/4=x/9

4x=432

x=108

Answer:

Since there are 12 pens packed in each box, because there are 48 packed in 4 boxes, there will be ( 12 times 9 ) 108 pens in 9 boxes.

Part a: The amount of leather needed to create both drum heads is 2769.48 cm².

Part b: Total surface area of Iranian cylindrical drum: 4022.34 cm².

A cylinder is just a 3D solid shape made up of two bases that are parallel and identical and are connected by a curved surface.

Part a: The amount of leather needed to create both drum heads.

Amount of leather = 2 * area of circle

Amount of leather = 2 * πr²

Amount of leather = 2 * 3.14 * 21²

Amount of leather = 2769.48 cm².

Thus, the amount of leather needed to create both drum heads is 2769.48 cm².

Part b: Total surface area of Iranian cylindrical drum:

TSA = 2πr(h + r)

TSA = 2*3.14*21*(21 + 9.5)

TSA =

Thus, the total area of wood used to make the body of the drum 4022.34 cm².

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The Perimeter of the polygon is 48 cm.

A polygon is a closed figure made up of three or more line segments connected end to end.

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 5 + 6 + 6 + 7 + 7 + 6 + 6 + 5

Perimeter of the polygon = 11 + 13 + 13+ 11

The perimeter of the polygon = 48

Hence the Perimeter of the polygon is 48 cm.

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Answer:

14 months

Step-by-step explanation:

4,500-250x=?

4,500÷250= 18

1,000÷250=4

18-4=14

Answer:

Amount of simple interest in three year = 750

Step-by-step explanation:

Given:

Amount invested = 5,000

Number of year = 3 year

Rate of interest = 5% Annually

Find:

Amount of simple interest in three year

Computation:

Simple interest = (P){R)(T)

Amount of simple interest in three year = (5,000)(3)(5%)

Amount of simple interest in three year = (5,000)(3)(0.05)

Amount of simple interest in three year = (5,000)(0.15)

Amount of simple interest in three year = 750

Answer:

B

Step-by-step explanation:

Answer:

B is the best answer

Step-by-step explanation:

Answer:

(2, 20) makes both equations true

Step-by-step explanation:

If a point is a solution for 2 equations, that means that it makes both equations true.

So, since (2, 20) is a solution to both y = 10x and x + y = 22, that means it makes both of the equations true.

a) The strength to weight ratio is 2/r. b) The nanotube's strength to weight ratio is 100 times greater than that of the flea's leg. 2) a) Resistance is (rho * L) / A = (2.44 × \(10^{-4\) Ω⋅m * 1.00 cm) / [\((1.00 cm)^2\)].

(a) The scaling relationship for the strength to weight ratio can be derived as follows. The strength of the object is proportional to its area, which for a cylinder can be expressed as A = 2πr(2r) = 4π\(r^2\). On the other hand, the weight of the object is proportional to its volume, given by V = π\(r^2\)(2r) = 2π\(r^3\). Therefore, the strength to weight ratio (S/W) can be calculated as (4π\(r^2\)) / (2π\(r^3\)) = 2/r.

(b) To compare the strength to weight ratio of a nanotube (r = 10 nm) and the leg of a flea (r = 100 μm), we substitute the respective values into the scaling relationship obtained in part (a). For the nanotube, the ratio becomes 2 / (10 nm) = 200 n\(m^{-1\), and for the flea's leg, it becomes 2 / (100 μm) = 2 × \(10^4\) μ\(m^{-1\). Therefore, the strength to weight ratio of the nanotube is 200 n\(m^{-1\) while that of the flea's leg is 2 × \(10^4\) μ\(m^{-1\). The nanotube's strength to weight ratio is 100 times greater than that of the flea's leg.

(a) To find the resistance of a cube of gold with side length L = 1.00 cm, we need to calculate the area and substitute the values into the resistance formula. The area of one face of the cube is A = \(L^2\) = \((1.00 cm)^2\). Given that the resistivity of gold (rho) is 2.44 × \(10^{-4\) Ω⋅m, the resistance (R) can be calculated as R = (rho * L) / A = (2.44 × \(10^{-4\) Ω⋅m * 1.00 cm) / [\((1.00 cm)^2\)].

(b) Similarly, for a cube of gold with side length L = 10.0 nm, the resistance can be calculated using the same formula as above, where A = \(L^2\) = \((10.0 nm)^2\) and rho = 2.44 × \(10^{-4\) Ω⋅m.

One application that utilizes the unique properties of nanomaterials is targeted drug delivery systems. In this application, nanomaterials, such as nanoparticles, play a crucial role. These nanoparticles can be functionalized to carry drugs or therapeutic agents to specific locations in the body. The small size of nanomaterials allows them to navigate through the body's biological barriers, such as cell membranes or the blood-brain barrier, with relative ease.

The particular property of nanomaterials that makes them suitable for targeted drug delivery is their large surface-to-volume ratio. Nanoparticles have a significantly larger surface area compared to their volume, enabling them to carry a higher payload of drugs. Additionally, the surface of nanomaterials can be modified with ligands or targeting moieties that specifically bind to receptors or biomarkers present at the target site.

By utilizing nanomaterials in targeted drug delivery, it is possible to enhance the therapeutic efficacy while minimizing side effects. The precise delivery of drugs to the desired site can reduce the required dosage and improve the bioavailability of the drug. Moreover, nanomaterials can protect the drugs from degradation and clearance, ensuring their sustained release at the target location. Overall, the unique properties of nanomaterials, particularly their high surface-to-volume ratio, enable efficient and targeted drug delivery systems that hold great promise in the field of medicine.

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Answer: C

Step-by-step explanation:

First, find the y-intercept of the graph -> when x = 0

In this case, y-intercept is +4. Hence answer is C immediately.

To double confirm the answer, find the gradient.

Gradient of graph is (4-0)/(0-(-2)) = 4/2 = 2 (any two fixed points on the graph can be obtained)

Hence, equation of graph is y = 2x+4 (form y = mx+c, where m is the gradient and c is the y-intercept of the graph)

Answer:

Step-by-step explanation:

(7,-8)

is the answer

Answer:

Neither (Answer)

Step-by-step explanation:

Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).

Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.

Slope of line 1 = m1 = 7

slope of line 2 = m2 = 1/7

neither the slopes are equal nor the their product is equal to '-1'

Reciprocal is defined as the inverse of a value or a number.

What is meant by reciprocal?

The reciprocal of any number in mathematics is one divided by that number.

If x is a real number, then \(\frac{1}{x}\) will be x's reciprocal. Hence, we must change the number to its upside-down form.

For instance, 1 divided by 4 is the reciprocal of 4. The result of multiplying a number by its reciprocal now equals one. Inverse multiplicative is another name for it.

The multiplicative inverse is another name for it. It can also be discovered by switching the numerator and denominator. A number's reciprocal and its product are equal to one.

Except for zero, every integer has a reciprocal.

Hence, reciprocal is defined as the inverse of a value or a number.

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