32 lbs of apples cost $160. How much would 25 lbs cost? *

Answer:

To solve this problem, we need to first find the numbers that are multiples of 4 or 6 between 1 and 15, inclusive.

Multiples of 4: 4, 8, 12

Multiples of 6: 6, 12

The number 12 is a multiple of both 4 and 6, so we only count it once.

So, there are a total of 4 possible outcomes that meet the condition of being a multiple of 4 or 6.

Therefore, the probability of getting a multiple of 4 or 6 is:

P(multiple of 4 or 6) = 4/15

Answer: 4/15.

Hope This Helps!

a) The probability of getting strictly increasing results when rolling a fair dice 3 times is 1/36. b) The expected number of sequences of 3 increasing numbers in a list of 330 dice rolls is approximately 54.67.

a) To calculate the probability of getting strictly increasing results when rolling a fair dice 3 times, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.

The favorable outcomes for strictly increasing results are arrangements such as (1, 2, 3), (1, 2, 4), ..., (5, 6). There are a total of 6 favorable outcomes.

The total number of possible outcomes when rolling a fair dice 3 times is 6^3 = 216.

Therefore, the probability of getting strictly increasing results is 6/216 = 1/36.

b) To calculate the expected number of sequences of 3 numbers in increasing order in a list of comma-separated results obtained by rolling a dice 330 times, we need to consider the probability of getting such a sequence in each set of 3 numbers.

In a sequence of 3 numbers, there are 6 possible orderings: ascending order (1, 2, 3), (1, 2, 4), ..., (4, 5, 6).

The probability of getting an increasing sequence in a single set of 3 numbers is 1/6.

Since the numbers are written sequentially separated by commas, the expected number of sequences of 3 numbers in increasing order can be calculated as:

E(X) = (330 - 2) * (1/6) = 328/6 = 54.67.

Therefore, the expected number of sequences of 3 numbers in increasing order in the given list is approximately 54.67.

c) The distribution of Y/39 represents the number of sets of 3 rolls needed to obtain 3 results in increasing order. Since Y represents the total number of rolls needed, we can calculate E(Y) by multiplying the expected value of Y/39 by 39.

The distribution of Y/39 follows a geometric distribution with a success probability of 1/36 (as calculated in part a). The expected value of a geometric distribution with success probability p is 1/p.

Therefore, E(Y/39) = 1/(1/36) = 36.

Finally, E(Y) = E(Y/39) * 39 = 36 * 39 = 1404.

Hence, the expected number of rolls needed to obtain 3 results in increasing order is 1404.

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Answer:

The cost of one T-shirt is £4

The cost of a hat is £1

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Answer:

288π units^3≈904.32 units^3

Step-by-step explanation:

The volume of a sphere is (4/3)πr^3. (r=radius)

You're given the radius: 6 units. Just plug r into the formula. (V=volume)

V=(4/3)πr^3

 =(4/3)π(6)^3

 =(4/3)*6*36π (3 and 6 are underlined b/c I canceled them out to leave 4*2)

 =4*2*36π

 =4*72π

 =288π units^3

 ≈288*3.14 (this is if you use 3.14 for π)

 =904.32 units^3

Hope I could help you!

Rounding to the nearest tenth, the ball's volume is approximately 179211.3 cubic centimeters.

To find the volume of the toy ball, we'll use the formula for the volume of a sphere:

V = (4/3)πr^3

The circumference of a sphere is related to its radius by the formula:

C = 2πr

Given that the circumference is 65.8 cm, we can solve for the radius:

65.8 = 2πr

Dividing both sides by 2π, we get:

r = 65.8 / (2π)

Now we can substitute this value of the radius into the volume formula:

V = (4/3)π(65.8 / (2π))^3

Simplifying further, we have:

V = (4/3)(65.8)^3 / (8π^2)

Calculating the value, we get:

V ≈ 179211.3 cm^3

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Since Y = 1/X, then X = 1/Y. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to z of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

The PDF of X is given by fx(x) = { 4x³, 0 < x ≤ 1}When 0 < Y ≤ 1, the values of X would be 1/Y < x ≤ ∞ .Thus, the PDF of Y, g(y) would be g(y) = fx(1/y) × |dy/dx| where;dy/dx = -1/y², y < 0 (since X ≤ 1, then 1/X > 1). The absolute value is used since the derivative of Y with respect to X is negative. Note that;g(y) = 4[(1/y)³] |-(1/y²)|g(y) = 4/y⁵ , 0 < y ≤ 1. The PDF of Y is 4/y⁵, where 0 < y ≤ 1. When Y < 0 or y > 1, the PDF of Y is equal to zero. The above can be verified by integrating the PDF of Y from 0 to 1.

∫ g(y) dy  = ∫ 4/y⁵ dy, from 0 to 1∫ g(y) dy  = (-4/y⁴) / 4, from 0 to 1∫ g(y) dy  = -1/[(1/y⁴) - 1], from 0 to 1∫ g(y) dy  = -1/[(1/1⁴) - 1] - (-1/[(1/0⁴) - 1])∫ g(y) dy  = -1/[1 - 1] - (-1/[(1/0) - 1])∫ g(y) dy  = 1 + 1 = 2. From the above, it can be observed that the integral of g(y) is equal to 2, which confirms that the PDF of Y is valid. The PDF of Y, g(y) is 4/y⁵, where 0 < y ≤ 1. If Y < 0 or y > 1, the PDF of Y is equal to zero.

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Answer:

B.40

Step-by-step explanation:

If it is talking about the angle I think it would be a 40-degree angle.

B. Yes, because all of the pairs represent the same ratio

Answer:

yes it is B

Step-by-step explanation:

because all of the numbers divided equals 2

The points that are 4 units apart are B and D

Which points are 4 units apart? On a coordinate plane, point A is at (-2, 4), point B is at (3, -6), point C is at (-1, 0), point D is at (3, -2).

B and C

C and D

A and C

B and D

To do this, we simply calculate the distance using the following equation

\(d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2\)

Using the given points, we have:

\(BC = \sqrt{(3+ 1)^2 + (-6 -0)^2} = 7.2\)

\(CD = \sqrt{(-1 - 3)^2 + (0 +2)^2} = 4.5\)

\(AC = \sqrt{(-2 + 1)^2 + (4 -0)^2} = 4.1\)

\(BD = \sqrt{(3 - 3)^2 + (-6 +2)^2} = 4\)

Hence, the points that are 4 units apart are B and D

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We  find the centroid of the given regions, by sketching  them.

For region 1, the curves intersect at (0,0) and (2,4).

For region 2, they intersect at (-3,0) and (2,4). For 3, they intersect at (-2,4) and (2,-8/3).

For region 4, they intersect at (0,0) and (2,0).

For  region 5, they intersect at (-4,0) and (4,0). For 6, they intersect at (0,0) and (3/2,9/4).

we can use the formula shown below, to find the centroid:

x_bar = (1/A) ∫∫ x dA

y_bar = (1/A) ∫∫ y dA

where A is the area of the region.

. For example, for region 1,

we have A = (2^3)/3,

x_bar = 4/3, and

y_bar = 8/5.

The centroid represents the geometric center of the region and can be seen as the average position of all the points in the region.

The centroid  is an important concept in engineering and physics as it plays the role of  determining the stability and balance of a system.

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Answer:

k = 8

Step-by-step explanation:

10*8 - 90 = -10

:/

Two non-planetary objects in the solar system are asteroids and comets.

What are the non-planetary abjects?

Asteroids are rocky objects that orbit the sun, primarily located in the asteroid belt between Mars and Jupiter. They can range in size from small pebbles to large objects over 500 km in diameter. Asteroids are believed to be remnants from the early solar system, and studying them can provide insights into the formation and evolution of the planets.

Comets are icy objects that originate from the Kuiper belt or the Oort cloud, which are located far beyond the orbit of Neptune. They have a distinct coma (a fuzzy atmosphere) and a tail that can extend for millions of kilometers as they approach the sun. Comets are believed to be remnants from the early solar system and contain information about the formation of the outer planets and the early solar system.

While both asteroids and comets are remnants from the early solar system, they differ in composition and behavior. Asteroids are primarily composed of rock and metal, while comets are made up of ice, dust, and rocky material. Comets also have highly elliptical orbits that can take them far from the sun, while asteroids have more circular orbits.

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Complete question is: Two non-planetary objects in the solar system are asteroids and comets and they differ in composition and behavior.

FALSE. Symmetric algorithms support confidentiality, but they do not inherently support authentication and non-repudiation.

Symmetric algorithms are encryption algorithms that use the same key for both encryption and decryption. Their primary purpose is to ensure confidentiality by keeping data secure from unauthorized access. However, symmetric algorithms do not provide built-in mechanisms for authentication and non-repudiation.

Authentication involves verifying the identity of a communicating party to ensure that the message comes from a trusted source. Non-repudiation, on the other hand, ensures that the sender cannot deny sending a message.

To achieve authentication and non-repudiation, additional mechanisms such as digital signatures and asymmetric encryption algorithms are typically used. Asymmetric algorithms, also known as public-key algorithms, employ a pair of keys (public and private) for encryption and decryption, enabling authentication and non-repudiation.

So, while symmetric algorithms can provide confidentiality, they do not directly support authentication and non-repudiation without the use of additional mechanisms.

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Answer:

x= -1/4

Step-by-step explanation:

The value of x is -1/4 in the given equation 1=4x+2.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 1=4x+2

One equal to four times of x plus two

In the given equation x is the variable and plus is the operator.

1=4x+2

Subtract 2 from both sides to isolate the x term

1-2=4x

-1=4x

Divide both sides by 4

x=-1/4

Hence, the value of x is -1/4 in the given equation 1=4x+2.

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Answer:

y=mx

Step-by-step explanation:

i think thats the equation am pretty sure tho

Answer: 11.3 or 11 if you are to round to nearest whole number.

Step-by-step explanation:

Take the problem step by step.

You know she has the monthly fee and a fee for each gigabyte of data she stores in her house.

Take how much she paid and Subtract the monthly fee from it since it has been a month.

$60.95 - $14.95 = $36

Now take that answer and divide it by the cost of each gigabyte to see how many she used that month.

$65 / $5.75 = 11.30434743, which rounds to 11.3 or 11 if you are to round to nearest whole number.

Answer:

k+2 or k=2

Step-by-step explanation:

combine -5 and 7 to get your answer

Answer:

K+2

Step-by-step explanation:

K - 5 + 7 ....add -5 and 7

K+2

Answer:

the correct answer is d

Step-by-step explanation:

Answer:

1. a30=96

2. D or 30(-20+96)/2

3. S30=1140

Step-by-step explanation:

Answer:

\(Volume = 1906.14\)

Step-by-step explanation:

Given

\(Height = 60ft\)

\(Circumference = 20ft\)

Required

Determine the volume

First, we need to determine the radius of the base using:

\(C = 2\pi r\)

Substitute 20 for C

\(20 = 2 * 3.14 * r\)

\(20 = 6.28 * r\)

Solve for r

\(r = 20/6.28\)

\(r = 3.18\)  -- approximated.

The volume is then calculated as thus:

\(Volume = \pi r^2h\)

\(Volume = 3.14 * 3.18^2 * 60\)

\(Volume = 1906.14\)

None of the given options is close to the volume of the silo

Answer:

5m

Step-by-step explanation:

there are 5 m with each a coefficient of one

The cost of each shirt and pair of pants is $11 each.

Let us represent the shirt by x and pair of pants by y. So forming the equation based on the information. Equation for items bought by me -

x + 3y = 44 : Equation 1

Equation for items bought by my friend -

3x + y = 44 : Equation 2

Performing multiplication of equation 1 with 3

3x + 9y = 132 : Equation 3

Performing subtraction of equation 2 from equation 3

3x + 9y = 132

3x + y = 44

We get -

9y - y = 132 - 44

8y = 88

y = 88/8

Performing division

y = 11

Keep the value of y in equation 1

x + 3×11 = 44

x + 33 = 44

x = 44 - 33

x = 11

Hence, both of these items cost $11.

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Answer:

27 in. is the answer

Step-by-step explanation:

hope it helps

Answer:

6364 cases

6364 bottles are left

Step-by-step explanation:

From the question, we are given the following

Total bottles of water = 8500bottles

Total cases filled = 2136cases

Required

Number of cases Jane can film with the remaining bottle.

Number of cases Jane can fill = 8500-2136

Number of cases Jane can fill with the remaining bottle= 6364 cases

Number of bottles left = number of cases Jane have left to fill.

Hence;

Number of bottles left = 6364 bottles

Answer:

The first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.

Step-by-step explanation:

Given the two sequences

\(\text{First Sequence:} \dfrac14, \dfrac12,$1, 2\\Second Sequence:\dfrac12$ , 2, 8, 32\)

By observation:

In the first sequence:

\(\dfrac14 \times 2 = \dfrac12\\\dfrac12 \times 2 =1\\1 \times 2=2\\\)

In the second sequence

\(\dfrac12 \times 4 =2\\ 2 \times 4=8\\8 \times 4=32\)

We can see that both sequences are geometric sequences.

However, the first sequence has a common ratio of 2 while the second sequence has a common ratio of 4.

Step-by-step explanation:

Add 1/4 and 1/3.

\(\frac{1 \times 3}{4 \times3} =\frac{3}{12}\)

\(\frac{1 \times 4}{3 \times 4} =\frac{4}{12}\)

\(\frac{4}{12} +\frac{3}{12} =\frac{7}{12}\)

Subtract 7/12 from the whole (1) or (12/12):

\(\frac{12}{12} -\frac{7}{12} =\frac{5}{12}\)

\(\frac{5}{12}\) of the pizza is left.

Answer:

13.00 you can keep going if you want to With the zeros it won’t stop

Step-by-step explanation:

the shaded segment PQR will be 18.265m².

What is are of triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The sum of all angle of triangle = 180

the diagram shows a sector OPQR of a circle, centre O and radius 8 cm.

Area of shaded part = Area of quadrant − Area of triangle

=πr²/ 4 - 1/2 bh

= π × 8²/ 4  - 1/ 2 × 8× 8

= 18.265m².

Hence the shaded segment PQR will be 18.265m².

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The condensed truth table for a 4x1 mux is shown below.

The SOP equation for the 4x1 mux can be expressed as follows:

Y = S1' * S0' * D0 + S1' * S0 * D1 + S1 * S0' * D2 + S1 * S0 * D3

To create a condensed truth table for a 4x1 multiplexer (mux), we need to consider the inputs and outputs of the mux. A 4x1 mux has two select inputs (S1 and S0) and four data inputs (D0, D1, D2, and D3), along with one output (Y).

Here is the condensed truth table for a 4x1 mux:

| S1 | S0 | D0 | D1 | D2 | D3 | Y |

|----|----|----|----|----|----|---|

| 0  | 0  | D0 | D1 | D2 | D3 | Y0 |

| 0  | 1  | D0 | D1 | D2 | D3 | Y1 |

| 1  | 0  | D0 | D1 | D2 | D3 | Y2 |

| 1  | 1  | D0 | D1 | D2 | D3 | Y3 |

The inputs S1 and S0 determine which data input (D0, D1, D2, or D3) is selected and routed to the output Y. The output depends on the selected input and follows the corresponding Y output.

b. To write the minimized sum of products (SOP) equation for the 4x1 mux, we need to determine the boolean expression for the output Y based on the inputs S1, S0, and the data inputs D0, D1, D2, D3.

The SOP equation for the 4x1 mux can be expressed as follows:

Y = S1' * S0' * D0 + S1' * S0 * D1 + S1 * S0' * D2 + S1 * S0 * D3

In this equation, the ' symbol denotes the negation (complement) of the corresponding input. The equation represents the logical OR of the product terms, where each product term corresponds to a specific combination of select inputs and data inputs.

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Answer:

cubic polynomial

Step-by-step explanation:

3 is highest exponent and 3 is cubic

there are more than 3 terms, so it's polynomial (poly=many)