What is the volume? 2 in 2 in 3 in cubic inches​

The probability of the sample mean being less than 76.5 tons is only 0.00588, which is a very small probability. Therefore, it is more likely that the loader has slipped out of adjustment.

The given data indicates that the mean weight of coal loaded in each car is 77 tons and the standard deviation is 0.9 ton. We have to find the probability that one car chosen at random will have less than 76.5 tons of coal.Using the z-score formula, we have:z = (x - μ)/σz = (76.5 - 77) / 0.9 = -0.5556Now, using the z-score table, we find that the probability of a z-score being less than -0.5556 is 0.2912.Therefore, the probability that one car chosen at random will have less than 76.5 tons of coal is approximately 0.2912.b) As per the central limit theorem, the sample mean is normally distributed, so we can use the standard normal distribution formula to find the probability that 47 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal.

The formula is:z = (x - μ) / (σ / √n)where, x = 76.5 tons, μ = 77 tons, σ = 0.9 tons, n = 47 carsNow, putting the values in the formula, we get:z = (76.5 - 77) / (0.9 / √47)z = -2.511Now, using the z-score table, we get:P(z < -2.511) = 0.00588Therefore, the probability that 47 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal is approximately 0.00588.c) If the weight of coal in one car was less than 76.5 tons, it would not be reasonable to suspect that the loader had slipped out of adjustment, as the standard deviation is 0.9 ton, which means there will always be some variability in the weights of coal loaded into each car, even if the loader is properly adjusted.If the weight of coal in 47 cars selected at random had an average x of less than 76.5 tons, it would be reasonable to suspect that the loader had slipped out of adjustment because the probability of such deviation occurring randomly is very small. This is because the probability of the sample mean being less than 76.5 tons is only 0.00588, which is a very small probability. Therefore, it is more likely that the loader has slipped out of adjustment.

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Answer:

Step-by-step explanation:

?

In this problem, x stands for the original quantity. To solve the problem, we can use algebra to rearrange the equation.

2x + 2x/3 = 19

Multiply each side by 3

6x + 2x = 57

Subtract 2x from each side

4x = 57

Divide each side by 4

x = 14.25

Therefore, x stands for 14.25, which is the original quantity.

Step-by-step explanation:

the other answer started correctly and then did a strange (to put it mildly) and wrong turn.

that is why I have to add my answer :

2x + 2x/3 = 19

yes, we need to multiply both sides by 3 to get rid of the fraction :

6x + 2x = 57

now we add terms of the same base and get

8x = 57

x = 57/8 = 7.125

The calculated value of p in terms of m is (c) p = ±√m

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

m/p = r

Multiply through by p

So, we have

m = rp

Divide both sides by r

p = m/r

Also, we have

r = p

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

p = m/p

So, we have

m = p²

Take the square root of both sides

p = ±√m

This means that the value of p is p = ±√m

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Answer:

the opposite of a negative number is positive.

Step-by-step explanation:

Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.

As we have proved that if p is an odd prime, then the product 1² · 3² · ... · (p-2)² is congruent to -1 modulo p.

To prove the statement, let's consider the product P = 1² · 3² · ... · (p-2)². Our goal is to show that P ≡ -1 (mod p), which means P leaves a remainder of -1 when divided by p.

First, we note that p is an odd prime. This means that p can be expressed as p = 2k + 1, where k is an integer. We can rewrite P using this representation:

P = (1 · 1) · (3 · 3) · ... · ((2k - 1) · (2k - 1)).

Now, let's examine P more closely. We can write each factor in P as:

(2i - 1) · (2k - (2i - 1)).

Expanding this expression, we get:

(2i - 1) · (2k - 2i + 1) = 4ik - 2i + 2ki - k - 2i + 1 = 4ik - 4i + 2ki - k + 1.

We can simplify this further as:

(4ik - 4i + 2ki - k + 1) = (4ik - 4i) + (2ki - k + 1) = 4i(k - 1) + k(2i - 1) + 1.

Now, let's consider the expression (2i - 1) modulo p. Since p = 2k + 1, we can rewrite (2i - 1) as:

(2i - 1) ≡ 2i - 1 (mod p).

Substituting this back into our expression for P, we have:

P ≡ (4i(k - 1) + k(2i - 1) + 1) (mod p).

Now, let's consider the sum (4i(k - 1) + k(2i - 1)) modulo p. We can write this as:

(4i(k - 1) + k(2i - 1)) ≡ 4ik - 4i + 2ki - k ≡ -3i + k(i - 1) (mod p).

Since p = 2k + 1, we have -3i + k(i - 1) ≡ -3i + (p - 1)(i - 1) (mod p).

Expanding (p - 1)(i - 1), we get:

-3i + (p - 1)(i - 1) = -3i + pi - p - i + 1 = -4i - p + pi + 1.

Now, let's consider the expression (-4i - p + pi + 1) modulo p. We can rewrite this as:

(-4i - p + pi + 1) ≡ -4i - p (mod p).

Since -p ≡ 0 (mod p), we have -4i - p ≡ -4i (mod p).

Therefore, we have shown that:

P ≡ -4i (mod p).

Now, let's consider the range of i. We know that i takes on values from 1 to (p - 2)/2, inclusive. Since p is an odd prime, (p - 2)/2 is an integer. Therefore, we can rewrite P as:

P ≡ -4(1 + 2 + 3 + ... + [(p - 2)/2]) (mod p).

The sum 1 + 2 + 3 + ... + n can be expressed as n(n + 1)/2. Substituting this into our expression for P, we get:

P ≡ -2[(p - 2)/2] [(p - 2)/2 + 1] (mod p).

Simplifying further, we have:

P ≡ -[(p - 2)/2] [(p - 2)/2 + 1] (mod p).

Since p is an odd prime, we can rewrite p - 2 as 2k - 1. Substituting this into our expression, we get:

P ≡ -[k] [k + 1] (mod p).

Now, let's expand the product [k] [k + 1]:

[k] [k + 1] = k² + k.

Substituting this back into our expression for P, we have:

P ≡ -(k² + k) (mod p).

Now, recall that p = 2k + 1. Substituting this into our expression, we get:

P ≡ -(k² + k) ≡ -(k² + k + 1) + 1 ≡ -(k² + 2k + 1) + 1 ≡ -[(k + 1)²] + 1 (mod p).

Since p = 2k + 1, we have (k + 1)² ≡ -1 (mod p). Substituting this back into our expression, we finally have:

P ≡ -[(k + 1)²] + 1 ≡ -1 + 1 ≡ 0 ≡ -1 (mod p).

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Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Answer:

P(less than 2) = P(1) = 1/6

A is correct.

Answer:

3(6) -1

 ------------

 2(6)+1

Step-by-step explanation:

first find r(6)

r(6) =3(6) -1

      = 18 -1

Then find s(6)

s(6) = 2(6)+1

Then divide

r(6)/s(6) = 3(6) -1

               ------------

                  2(6)+1

Answer:A

Step-by-step explanation:

The system of inequalities of the company with the better offer is 75 + 20x ≤ y and 15 + 65x ≤ y

Let's use A to represent the total cost (in dollars) of purchasing a pool membership from the Aquatics Club,

Let S represent the total cost of purchasing a pool membership from the Swimming Hole.

Then we can write the following system of inequalities:

A = 75 + 20x (total cost of Aquatics Club membership)

S = 15 + 65x (total cost of Swimming Hole membership)

Alfonso has no more than y dollars to spend

So, we have

75 + 20x ≤ y

15 + 65x ≤ y

Hence, the system is 75 + 20x ≤ y and 15 + 65x ≤ y

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hi <3

so basically, there are a few rules you need to know of and i'll describe those first.

angles in a triangle sum to 180 degrees. AND

angles on a straight line sum to 180 degrees

so, by using the first rule, we can calculate the missing angle within the triangle:

180 - (52 + 90) = 38

now, we can use the second rule to find x

180 - 38 = 142

x = 142 degrees

hope this helps :)

Answer:

142°

Step-by-step explanation:

It is a little rough

Hope this helps.

Mark brainliest if this helps you.

The required answer is "Mary will pay Joe an interest rate of 8% on every dollar she borrows."

Given that the expected inflation rate for Mary is 5% and her willingness to pay a real interest rate is 3%, and Joe's expected inflation rate is 5%, and he is willing to lend money if he receives a real interest rate of 3%.

Let the actual inflation rate be 6%, and the loan contract specifies a nominal interest rate of 8%.

Now, we can calculate the nominal interest rate as follows:

Nominal interest rate = Real interest rate + Inflation rate 8% = 3% + 6%

Here, the nominal interest rate exceeds the expected inflation rate for both Joe and Mary.

Therefore, Joe lends money, and Mary borrows money.

According to the given question, what must be calculated is the amount that Mary pays Joe for every dollar she borrows.

This payment can be calculated as follows:

1 + Real interest rate = 1 + 0.03 = 1.03 (this is the rate at which Mary can borrow money)

Inflation rate = 6%

Nominal interest rate = 8%

Using the Fisher equation:

Nominal interest rate = Real interest rate + Inflation rate

Hence, the required answer is "Mary will pay Joe an interest rate of 8% on every dollar she borrows."

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A sequence starts with a LS of a child seated at a desk coloring. There is a cut to a MS of that same scene, but the child is now drinking from a glass is Jump cut, option C.

In film editing, a jump cut is a split that separates a single continuous sequential shot of a subject into two sections, with a section of the video edited out to create the illusion of a temporal leap. To accomplish the effect, the subject's camera position in the remaining clips in the sequence need only be slightly altered. It is a manipulation of temporal space that uses a single shot's length and fractures it to advance the viewer.

Jump cuts are therefore viewed as a breach of traditional continuity editing, which tries to de-emphasize editing and create the illusion of continuous time and space in the story-world. Nevertheless, jump cuts are occasionally utilised for artistic reasons. Jump cuts frequently highlight how carefully the movie was put together. Occasionally, more than one jump cut is used in a single sequence.

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Complete question:

A sequence starts with a LS of a child seated at a desk coloring. There is a cut to a MS of that same scene, but the child is now drinking from a glass. This represents: Group of answer choices:

Editing

Continuity

Jump cut

Cutaway

This represents transition from the scene of coloring to drinking.

The sequence represents a transition from coloring to drinking. The initial LS (long shot) shows a child seated at a desk, engaged in the activity of coloring. This establishes the starting point of the sequence.

But in the subsequent MS (medium shot), the same scene is depicted but now the child is seen drinking from a glass instead of coloring. This transition from coloring to drinking indicates a change in activity within the sequence. The shift from the LS to the MS with the child's change in action from coloring to drinking signifies progression of time or a shift in focus.

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There are 150 students in the girls athletics program

Answer:

I believe the answer would be 30 people.

Step-by-step explanation:

To calculate the percentage out of a group of people or items, you just multiply the percent (in decimal form) by the amount of people you want it out of. For example: A 0.1% chance out of 1,000 people would be a chance and expectancy of 1 person out of those 1,000 people. In this case it's 3% for every person. 0.03 • 1,000 is 30.

The present value of this investment project is $72,500. This can be solved by the concept of Compound interest.

The perpetual cash flow of $4,350 per year can be considered as an annuity perpetuity, where the cash flow is constant forever. To calculate the present value of this perpetuity, we can use the formula:

Present Value = Annual Cash Flow / Discount Rate

Here, the annual cash flow is $4,350, and the discount rate is the interest rate of 6%. Thus, we can calculate the present value as:

Present Value = $4,350 / 0.06

Present Value = $72,500

Therefore, to participate in this investment project, you would need to pay $72,500 today to receive $4,350 per year forever, starting from one year from now

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This would then result in the answer of t = 5/4.

Emma's first mistake was when she set up the equation. She started with:

−

3

5

=

4

5

t

−

3

5

This equation does not make sense mathematically, as it cannot be solved. The equation should have been set up as:

3

5

=

4

5

t

By setting up the equation correctly, Emma could have proceeded to solve the equation. To solve the equation, she would have needed to subtract 3/5 from both sides of the equation, resulting in

3

5

−

3

5

=

4

5

t

−

3

5

This would then result in the answer of t = 5/4.

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Answer:

calculating

Step-by-step explanation:

Answer:

1) x=6, y=-6 which is (6,-6) as an ordered pair

3) x=10, y=-1 which is (10,-1) as an ordered pair

Step-by-step explanation:

Question 1:

Solve them like an addition problem:

-4x-2y=-12

4x+8y=-24

________

(-4x+4x)+(-2y+8y)=(-12+-24)

0x+6y=-36

6y=-36

y=-6

Plug value of y into one of the original equations:

4x+8(-6)=-24

4x-48=-24

4x=24

x=6

Question 3:

Solve them like an addition problem:

x-y=11

2x+y=19

_______

(x+2x)+(-y+y)=11+19

3x+0y=30

3x=30

x=10

Plug value of x into one of the original equations:

10-y=11

-y=1

y=-1

Answer:

672 had dark hair, 592 had blond hair, and 48 had red hair

Step-by-step explanation:

To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.

Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:

42 + 37 + 3 = 82

We can then divide 1,312 by 82 to get the scaling factor:

1,312 ÷ 82 = 16

This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.

To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:

Dark-haired people: 42 × 16 = 672

Blond-haired people: 37 × 16 = 592

Red-haired people: 3 × 16 = 48

Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.

Answer:

62.17 days

Step-by-step explanation:

The computation of the number of days  is shown below:

Given that

A(t)=10 × 0.5^(t ÷ 18.72)

1 = 10 × 0.5 ^ (t ÷ 18.72)

0.1 = 0.5 ^ (t ÷ 18.72)

Now consider the log in both sides

ln(0.1) = ln(0.5)^ (t ÷ 18.72)

ln(0.1)  ÷  ln(0.5) = (t ÷ 18.72)

3.321928095  = (t ÷ 18.72)

So, t = 62.17 days

With the help of log, we can easily compute it

Answer:

Use photo math

Step-by-step explanation:

its easier

Example 1: m < n Matrix A: 3x4

Example 2: m > n Matrix B: 4x3

For non-square matrices, the determinant is not defined, so det = 0 in Example 2.

consider two matrices, one with m < n and the other with m > n.

Example 1: m < n

Suppose we have a matrix A with dimensions 3x4:

A = [[1, 2, 3, 4],

    [5, 6, 7, 8],

    [9, 10, 11, 12]]

In this case, m = 3 and n = 4. The matrix A has more columns than rows.

Example 2: m > n

Now let's consider a matrix B with dimensions 4x3:

B = [[1, 2, 3],

    [4, 5, 6],

    [7, 8, 9],

    [10, 11, 12]]

Here, m = 4 and n = 3. The matrix B has more rows than columns.

Regarding your second question, the determinant (det) of a matrix is defined only for square matrices, i.e., matrices with the same number of rows and columns (m = n). If the matrix is not square, the determinant is not defined, and we say det = 0.

In the second example, matrix B is not square (m > n), so its determinant is automatically 0. This is a general property of non-square matrices.

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Answer:

The line is tangent.

Step-by-step explanation:

For the line to be tangent ∠NLM must be 90°.

Because we only have side lengths we can use Pythagorean theorem to prove that ΔNLM is a right triangle making ∠NLM a right angle.

Pythagorean theorem states:

\(a^{2} +b^{2} =c^{2}\)

Substitute values

Because side NM is opposite ∠LNM if the triangle is a right triangle that would be the hypotenuse so we will use that value for c^2. Variable a and b are interchangeable.

\(6^{2} + 8^{2} = 10^2\)

\(36 + 64 = 100\)

Add

\(100 = 100\)

Because 100 does equal  100 ΔLNM is a right triangle making ∠LNM a right angle so therefore line LM is tangent to the circle.

Answer: x< -30

Step-by-step explanation:

The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given points;

A(1,-3)

A'(3,5)

B(0,0)

B'(4,-6)

C is the center point of rotation.

The given points are plotted on the graph and obtained as the center of rotation will be (0,4).

Hence the center of rotation will be (0,4).

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Answer:

Step-by-step explanation:

\(f(x)=-x^3-7x^2-7x+15\\Prove:\ x_1=-5\ \ \ \ x_2=-3\ \ \ \ x_3=1\ at\ f(x)=0\\\\-x^3-7x^2-7x+15=0\)

Multiply both parts of the equation by -1:

\(x^3+7x^2+7x-15=0\\x^3+5x^2+2x^2+7x-15=0\\x^2*(x+5)+(2x^2+7x-15)=0\\x^2*(x+5)+(2x^2+10x-3x-15)=0\\x^2*(x+5)+(2x*(x+5)-3*(x+5))=0\\x^2*(x+5)+(x+5)*(2x-3)=0\\(x+5)*(x^2+2x-3)=0\\x+5=0\\x=-5\\x^2+2x-3=0\\x^2+3x-x-3=0\\x*(x+3)-(x+3)=0\\(x+3)*(x-1)=0\\x+3=0\\x=-3\\x-1=0\\x=1\)

Sampling techniques are particularly important in quantitative research studies. In these studies, researchers aim to collect data from a subset of individuals or entities (the sample) to make inferences about a larger population.

Sampling techniques help researchers select participants from the population in an unbiased and systematic manner. By using appropriate sampling methods such as random sampling, stratified sampling, or cluster sampling, researchers can minimize sampling errors and increase the likelihood that the sample represents the characteristics of the population accurately.

By employing sound sampling techniques, researchers can enhance the external validity of their findings, allowing them to make meaningful and reliable generalizations about the larger population.

This is particularly crucial in fields such as public health, social sciences, market research, and opinion polling, where the goal is to draw valid conclusions about the broader target audience based on a representative sample.

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The Basic arithmetic of addition, subtraction, division and multiplication of the questions are:

1    (0.2²÷[7.9-(4.1+1.8)] = 0.02

2     (14.7)x(1/2)²= 3.68

3      123+6²-11.8-1=136.2

4       5²-9÷3=22

5       8+6-2x2-9=1

How to do the basic arithmetic operations?

The basic arithmetic operations are:

How to do the additional problems?

We make use of BODMAS in solving the problems.

In each case we use the rule for BODMAS to arrive at the answer.

1   0.2²÷[(7.9-5.9)]

First do the bracket

0.04÷2

=0.02

2.   (14.7)x(1/2)²

      14.7 x 1/4

        14.7x1 =14.7÷4

        3.68

3      123+6²-11.8-1

       123-11.8-1

       136.2

4       5²-9÷3

        25-3

        22

5       8+6-2x2-9

        8+6-4-9

        14-4-9

         =1

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The position of the bicyclist at t=8 minutes is 3.2 km

Speed is the rate of change of position of an object in any direction.

position the way in which something or someone is placed or arranged.

when time t = 6 position d = 5

when time t = 5 position d = 2

when time t = 8 position d = x

therefore we can say

8 / x = 5 / 2

x = 8 * 2 /5

  = 3.2 km.

Hence the position of the bicyclist at t=8 minutes is 3.2 km.

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complete question:

The position "d" of a bicyclist (measured in kilometers) is a linear function of time "t" (measured in minutes). At time t=6 minutes, the position is d=5 km. If the bicyclists travels at 2 km for every 5 minutes, find the position of the bicyclist at t=8 minutes.

Answer:

1.49 x \(10^{5}\) hours

Step-by-step explanation:

1 day=24hours

1 year=365 days

365days=24 x 365=8760hours

17 years

= 8760hours x 17

=148920hours

=1.4892 x \(10^{5}\)

= 1.49 x \(10^{5}\) hours

Answer:

1.49 x  hours

Step-by-step explanation:

1 day=24hours

1 year=365 days

365days=24 x 365=8760hours

17 years

= 8760hours x 17

=148920hours

=1.4892 x

= 1.49 x  hours