if 6 bales are needed to feed 40 head of cattle, how many bales are needed to feed 50

The probability that the entire batch of 6500 write-rewrite CDs will be accepted, given that 170 are defective and 6 are randomly selected for testing, is approximately 0.859 or 85.9%.

To find the probability that the entire batch of 6500 write-rewrite CDs will be accepted using acceptance sampling, we need to consider the number of defective CDs in the batch and the number of CDs selected for testing.

Given that the batch consists of 6500 CDs and 170 of them are defective, we know that the remaining 6500 - 170 = 6330 CDs are non-defective.

Now, if we randomly select 6 CDs for testing, we want to determine the probability that all 6 CDs are non-defective. To calculate this probability, we need to use the hypergeometric distribution.

The hypergeometric distribution calculates the probability of obtaining a specific number of successes (in this case, non-defective CDs) from a finite population (the entire batch) without replacement.

Using the hypergeometric distribution formula, the probability of selecting 6 non-defective CDs can be calculated as follows:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6)

where C(n, r) represents the number of combinations of selecting r items from a set of n items.

Evaluating this expression, we find:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6) ≈ 0.859

Therefore, the probability that the entire batch of CDs will be accepted is approximately 0.859, or 85.9%.

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Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

2x+9y=41

-4x+y=13

---------------

2(2x+9y)=2(41)

-4x+y=13

-----------------------

4x+18y=82

-4x+y=13

------------------

19y=95

y=95/19

y=5

2x+9(5)=41

2x+45=41

2x=41-45

2x=-4

x=-4/2=-2

Answer:

Step-by-step explanation:

-6 is rational because it can be written as a ratio -6/1 for example

Answer:

c

Step-by-step explanation:

Answer:

height: 9 units

width: 9 units

Step-by-step explanation:

Probability to choose an even numbered squares is 2/3.

Given that there are 6 squares in the bag.

They are numbered as 255, 256, 260, 263, 264, 270.

Even numbered squares are 256, 260, 264, 270

Here number of even numbered squares is = 4

So the according to definition the probability to choose an even numbered squares from the bag is = 4/6 = 2/3.

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The shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.

The non-empty intersection of a solid body in three dimensions with a plane, or its equivalent in higher dimensions, is referred to as a cross section in geometry and science. Many parallel cross-sections are produced when an object is sliced. The boundary of a cross-section in three dimensions that is parallel to two of the axes, that is, parallel to the plane determined by these axes, is sometimes referred to as a contour line.

A triangle-shaped pyramid essentially has a triangle-shaped base. The cross section formed when an imaginary line is produced to cut through perpendicular to the base will still have a triangular orientation, but it will be smaller than it was when the pyramid's original triangular orientation or sides were there.

Therefore, the shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.

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Answer:

\({ \sf{ {(x - 2)}^{2} + {(y + 8)}^{2} = 4}}\)

Answer:

Center is (2, -8) and radius =2

h = 2 and k = -8

Filling in this equation:

(x -h)² + (y -k)² = radius²  we get:

(x - 2)^2 + (y--8)^2 = 2^2 which equals

(x-2)^2 + (y +8)^2 = 4

Source: http://www.1728.org/circleqn.htm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Took test

Answer:

The indoor pool has a higher temperature and also has the greatest absolute value.

Step-by-step explanation:

The indoor pool has a higher temperature becasue 24 is greater than 23.  It also has a bigger absolute value because the absolute value how much a number is from 0.

So the absolute value of 24 is 24.

The absolute value of 23 is 23.

24 is greater so the indoor pool also has a bigger absolute value.

Answer: B. X = \(4\sqrt{6}\)

Step-by-step explanation:

sec(45) = hyp/12

12sec(45) = hyp

hyp = 16.9

cot(60) = x/16.9

16.9cot(60) = x

x = 9.7

B. X = \(4\sqrt{6}\)

Answer:

67

Step-by-step explanation:

90-23=67

may it help you

Answer:

the answer is 2

Step-by-step explanation:

The probability that six families participated in a Halloween party is 0.16859

As per the given statement, "T3Yh of all families in Canada participated in a Halloween party."This implies that the probability of families participating in a Halloween party is 30%.

Now, if we select 14 families randomly, the probability of selecting 6 families from the selected 14 families is determined by the probability mass function as follows:

`P(x) = (14Cx) * 0.3^x * (1 - 0.3)^(14 - x)`

where P(x) represents the probability of selecting x families that participated in a Halloween party.

Here, x = 6

Thus, `P(6) = (14C6) * 0.3^6 * (1 - 0.3)^(14 - 6)``

P(6) = 0.16859`

Hence, the probability that six families participated in a Halloween party is 0.16859.

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Answer:

4xy

Step-by-step explanation:

2 x 2 = 4, then just plop the x and y down, and there's your answer

Answer:

28

Step-by-step explanation:

Since the perimeter is the width + width + length + length, we know that there 2 of the 8 millimeter width in the perimeter. So multiply 8 by 2, which is 16. So 16 of the 72 represents both widths. So subtract 16 from 72. You're left with 56, which represents 2 of the length. So divide 56 by 2, and you get one of the length, which is 28.

Answer:

28 ^^

Step-by-step explanation:

Good Luck!!!

Therefore, the dimensions of a cube house would be as follows:

Length: 10-unit cubes (since 10 x 10 x 10 = 1,000)

Width: 10-unit cubes

Height: 10-unit cubes.

A cube house is a three-dimensional structure made up of unit cubes, with a total capacity of 1,000 unit cubes. Each unit cube has dimensions of 1 meter by 1 meter by 1 meter. Therefore, the dimensions of a cube house would be as follows:

Length: 10 unit cubes (since 10 x 10 x 10 = 1,000)

Width: 10 unit cubes

Height: 10 unit cubes

In other words, a cube house would have a length, width, and height of 10 unit cubes each, resulting in a total volume of 1,000 cubic meters (10 x 10 x 10). All edges of the cube house would have the same length, which is equivalent to the size of one unit cube, i.e., 1 meter. So, the dimensions of a cube house would be 10 meters by 10 meters by 10 meters. This is a conceptual representation of the cube house, assuming that the 1,000 unit cubes are arranged in a perfect cube shape without any gaps or overlaps. In reality, the actual design and layout of a cube house may vary depending on the specific architectural design and construction techniques used. So, while the overall concept of a cube house is based on a perfect cube, the actual dimensions and arrangement of the unit cubes may differ in practice. But based on the given information, a cube house would have a length, width, and height of 10 meters each, and would be composed of a total of 1,000 unit cubes. Overall, the cube house would be a unique and distinctive structure, characterized by its cubic shape and the creative use of unit cubes as building blocks. It would likely provide an interesting and visually appealing architectural experience for its inhabitants and visitors alike. So, whether you're imagining a miniature model made of 1,000 tiny cubes or a full-sized dwelling, the dimensions of a cube house would be 10 meters by 10 meters by 10 meters, with a total capacity of 1,000 unit cubes. Pretty cool, right? It's like living inside a giant Rubik's Cube! I hope this description helps you visualize what a cube house might look like. Let me know if you have any other questions! Is there anything else you'd like to know about cube houses or any other topic? I'm here to help! Please let me know if you have any other questions or if there's anything else I can do for you. Thank you! Here's to your imaginative journey of visualizing a cube house made of unit cubes! I hope this description has been helpful in visualizing the dimensions of a cube house using unit cubes. If you have any further questions or need additional information, feel free to ask! Happy exploring! So, whether you're interested in architecture, mathematics, or just have a curious mind, I hope this description has been helpful in understanding the dimensions of a cube house using unit cubes. If you have any further questions or need additional information, feel free to ask! Happy exploring! Is there anything else I can assist you with? I'm here to help! Whether you're planning to build your own cube house or just curious about the concept, I hope this description has been informative and helped you visualize the dimensions of a cube house using unit cubes. If you have any further questions or need additional information, please don't hesitate to ask! I'm here to help! Is there anything else you'd like to know? Whether you're dreaming of living in a cube house or just curious about the concept

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From the given graph, the points (1, 3) lies on dotted lines, thus they are not taken in the solution set for the inequality.

When expressions are compared using the operators "less than" (<), "less than or equal to" (<=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.

From the graph, the shaded region shows the solution for the inequality.

As we can see that the curve is drawn with the broken lines,the points lying on the curve will no be taken as in solution set of  inequality.

Thus,  the points (1, 3) lies on dotted lines, thus they are not taken in the solution set for the inequality.

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Complete question:

Which point is not included in the solution set for the inequality? (–2, 1) (1, 3) (4, 3) (5, -1)?

The graph for the question is attached.

(5) All snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

What is snow geese?

Despite having a reputation for having white feathers, many snow geese are actually blue geese, which are darker, gray-brown birds. These birds were formerly believed to be two distinct species, however it has recently been discovered that they are actually just two color variants of the same bird. The variation in color is controlled by a single gene.

9 snow geese are housed in the research and rescue center.

Each geese consumed 16 ounces of seeds, therefore that's how much.

Therefore, the amount of seeds consumed by 9 snow geese is equal to (16*9) ounces.

144 ounces of seeds were consumed by 9 snow geese.

There are currently 1,656 ounces of seeds.

Thus, the number of days before the center runs out of food is equal to the sum of the ounces of seeds eaten by the nine snow geese divided by the total ounces of seeds.

Days till the food center runs out of supplies = 1656/144

11.5 days are required until the center runs out of food.

Hence, all snow geese can eat for 11.5 days before the research and rescue center runs out of supplies.

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Answer:

32 inches

Step-by-step explanation:

An easy way to solve this would be to divide 76 by 57 which would give you 1.3333

That is the amount that the height of the man is reduced by to get the height of the shadow.

After that we multiply 1.333 by 24 to get 32

Hope this helps!

Answer:

D

Step-by-step explanation:

This arithmetic sequence can be represented by 9(n-1)+18

Plug in 8 for the variable

9(8-1)+18

9(7)+18

63+18

81

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Answer:

A

Step-by-step explanation:

Here, we want to write the final formula for the equation after performing the given transformations

Reflection on the y-axis means the x-axis value will change sign

that will give:

y = -x^1/3

Transition of 3 units in the positive x axis

mathematically, we are adding 3 to x

so we have

y = -(x+3)^1/3

4 units in the negative y direction means we are subtracting 4 from the whole equation

That means;

y = -(x + 3)^1/3 - 4

This shows that the first option is right

Answer:

C. 16

Maaf Kalo Salah Y Maaf Ya Lama Cape Itung di

Answer:

b) 1

Step-by-step explanation:

First, bring the -3 to the right side.

x²+4x + 4

now use b²-4ac.

4²-4(1)(4)

16-16

0

If discriminant < 0 there are 2 imaginary solutions

if discriminant > 0 there are 2 real solutions

if discriminant = 0 there is 1 real solution

The discriminant here is 0 so it has one real solution

Answer:

Step-by-step explanation:

Geoff is feeling peckish, so he decides to pop into the shop and grab some snacks. He picks up a packet of crisps for 25p, a can of soup for 68p and a watermelon for £1.47. He wonders why the watermelon is so cheap, but he doesn't question it. He goes to the cashier and hands over a £5 note. The customer behind Geoff wonders "how much change does he get back?"

To figure this out, we need to add up the price of the snacks and take it away from the money Geoff gave. We can use a dot to show the pence as parts of a pound. For example, 25p = 0.25 pounds.

The price of the snacks is:

0.25 + 0.68 + 1.47 = 2.40 pounds

The money Geoff gave is:

5.00 pounds

The change is:

5.00 - 2.40 = 2.60 pounds

So, Geoff gets £2.60 in change and a bargain watermelon.

Answer:

Answer:

2.60

Step-by-step explanation:

25+68+147=240

500-240=260

turn into pounds 2.60

Step-by-step explanation:

Answer:

"13 plus half of 6 divided by 2, then add 6"

Step-by-step explanation:

We need to select the statement that describes this expression :

\(13+\dfrac{1}{2}\times (\dfrac{6}{2}+6)\)

Here 13 is added to half of 6  divided by 2 and then add 6.

Hence, this is the correct answer "13 plus half of 6 divided by 2, then add 6).

Answer:

In terms of h

radius = 3√7)√ h

Step-by-step explanation:

\(volume \: = 65.94 \\ \pi = 3.14 \\ radius = \)

\(v = \frac{1}{3} \pi {r}^{2} h \\ 65.94 = \frac{1}{3} \times 3.14 \times {r}^{2} \times h \\ 65.94 \times 3 = 1 \times 3.14 \times {r}^{2} h\)

\(197.82 = 3.14 {r}^{2} h \\ divide \: both \: sides \: of \: the \: equation \: \\ by3.14 h\\ \frac{197.82}{3.14h} = \frac{3.14 {r}^{2}h }{3.14h} \)

\( \frac{63}{h} = {r}^{2} \\ square \: root \: both \: sides \\ \sqrt{ \frac{63}{h} } = \sqrt{ {r}^{2} } \\ r \: = \frac{3 \sqrt{7} }{ \sqrt{h} } \)

Answer:

In terms of h, the radius of the cone is \(\frac{3\sqrt{7} }{\sqrt{h} }\)

Step-by-step explanation:

The formula for finding the volume of a cone is

\(Volume(V) = \frac{1}{3} \pi r^{2} h\)

Make r the subject of formula in the equation above

\(3V = \pi r^{2} h\)

\(\frac{3V}{\pi h } = \frac{\pi r^{2} h}{\pi h}\)

\(r^{2} = \frac{3V}{\pi h}\)

Take the square root of both sides of the equation

\(\sqrt{r^{2} } = \sqrt{\frac{3V}{\pi h} }\)

\(r = \sqrt{\frac{3V}{\pi h} }\)

Putting in the values given,

\(r = \sqrt{\frac{3 * 65.94 }{3.14h} }\)

\(r = \sqrt{\frac{3 * 21 }{h}}\)

\(r = \sqrt{\frac{63 }{h} }\)

\(r = \sqrt{\frac{9 * 7}{h} }\)

\(r = \frac{3\sqrt{7} }{\sqrt{h} }\)

Hope this helps :))

The solution to the equation x² + 5x = 0 is x = 0 or x = -5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² + 5x = 0   be equation (1)

Now , on simplifying the equation , we get

On factorizing the equation , we get

Taking the common factor x ,

x ( x + 5 ) = 0

Now , x can take 2 values which will satisfy the given equation

when x = 0 or ( x + 5 ) = 0

when x = 0

Substitute the value of x in the equation , we get

0 ( 0 + 5 ) = 0

0 = 0

The equation is true when x = 0

And ,

when ( x + 5 ) = 0

Subtracting 5 on both sides of the equation , we get

x = -5

when x = -5

-5 ( -5 + 5 ) = 0

-5 x 0 = 0

0 = 0

The equation is true when x = -5

Hence , the solution is 0 , -5

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According to the question the length of \(\overset{\LARGE\frown}{PQ}PQ⌢\) ​ is equal to \(4\times\pi4\times\pi\), or 4π.

Length is a measure of distance between two points. It is a dimension of a physical quantity and is usually measured in units such as meters, inches, feet, yards, kilometers, or miles. Length is used to measure the size of objects, the distance between two points, or the magnitude of a certain quantity. Length is a fundamental concept in mathematics, physics, and engineering, and is essential for understanding how these fields work.

The triangle OPQOPQ is a right triangle since m∠POQ=90∘∠POQ=90 ∘ . By the Pythagorean Theorem, we have that PQPQ is equal to the square root of OP2−PQ2OP^2-PQ^2. Since OP=4OP=4, we can substitute that in to get:

\(PQ=\sqrt{4^2-PQ^2}=\sqrt{16-PQ^2}PQ= 4 −PQ2\) ​ ​ .
We can solve for PQPQ by squaring both sides to get 16−PQ2=PQ2⟹PQ2=16PQ2=16 ⟹ PQ2=16. Thus, the length of \(\overset{\LARGE\frown}{PQ}PQ⌢\)​ is equal to the square root of 16, or 4.

Therefore, the length of \(\overset{\LARGE\frown}{PQ}PQ⌢\) ​ is equal to \(4\times\pi4\times\pi\), or 4π.

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The length of PQ PQ is \(\sqrt{16} \ or\ 4.\)

The length of PQ PQ is \(4\times\ \pi 4\times \pi \ or\ 4\pi\)

A circle is a round object with no corners or edges. A circle is a closed form, a two-dimensional shape, and a curved shape in geometry. The circumference of a circular is the distance around its circumference. The diameter is the measure across a circle through its centre.

The diameter is the length of the line passing through the centre and touching two spots on the circle's edge. Diameter is the total length of the circle measured from the edge to the middle and back again.

Since m∠POQ=\(90^{0}\) ∠POQ=\(90^{0}\), the triangle OPQ OPQ is a right triangle. The Pythagorean Theorem tells us that

PQ PQ is equivalent to \(OP^2-PQ^2\ OP^2-PQ^2\), squared.

We can replace that in to get: since OP=4 OP=4.

\(PQ=\sqrt{4^2-PQ^2} \\\\=\sqrt{16-PQ^2}\)

\(PQ=4PQ^2\)

We can solve for PQPQ by squaring both sides to get

\(16-PQ^2=PQ^2\\\\PQ^2=16PQ^2=16\\\\PQ^2=16\)

Thus, the length of PQPQ is equal to the square root of 16, or 4.

Therefore, the length of PQPQ is equal to \(4 \times\pi 4 \times\pi\) or \(4\pi\).

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