What is the missing constant term in the perfect square that starts with x^2-12xx 2 −12xx, squared, minus, 12, x ?

Answer:

43÷4=10R3

Each employee should do 3 tasks each, with a remainder of 3.

To calculate the amount in the account at the end of 1 year, we can use the formula A=P(1+r)^n, where A is the amount, P is the principal (initial amount), r is the interest rate, and n is the number of years.

Plugging in the given values, we have A=8000(1+0.07)^1 = 8560. Therefore, the amount in the account at the end of 1 year is $8560.

To calculate the amount in the account at the end of 2 years, we can again use the same formula A=P(1+r)^n. However, since the interest is compounded annually, we need to use n=2. Plugging in the values, we have A=8000(1+0.07)^2 = 9184.32. Therefore, the amount in the account at the end of 2 years is $9184.32.

In summary, the amount in the account at the end of 1 year is $8560, and the amount in the account at the end of 2 years is $9184.32. These calculations assume that no withdrawals are made from the account and that the interest is compounded annually at a rate of 7%.

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The probability that the mean contents of the 1024 sample cans is less than 11.994 ounces, is 0.055.

In the given question, a random sample of 1024 12-ounce cans of fruit nectar is drawn from among all cans produced in a run.

Prior experience has shown that the distribution of the contents has a mean of 12 ounces and a standard deviation of 0.12 ounce.

We have to find the probability that the mean contents of the 1024 sample cans is less than 11.994 ounces.

Given that,

Mean(μ) = 12

Standard Deviation(σ) = 0.12

n = 1024

So, μ = 12

σ/√n = 0.12/1024 = 0.00375

P( x<11.994) = P[(x-μ)/(σ/√n) < (11.994-12)/0.00375]

P( x<11.994) = P(z < -1.6)

(using z table)

P( x<11.994) = 0.055

Probability = 0.055

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Answer:

B is the correct answer (Check the explanation below)

Step-by-step explanation:

Probability of boys who do play = 1593/2451 = 0.6499 or 64.99% (if you times by 100 to change to percentage)

Probability of boys who do not play =858/2451 = 0.35 or 35%

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

Probability of girls who do not play = 1635/2996 = 0.5457 or 54.57%

Probability of boys and girls who play = 2954/5447 = 0.5423 or 54.23%

Probability of boys and girls who do not play = 2493/5447 =0.4577 or 45.77%

you can see the correct statement is

Probability of girls who do play = 1361/2996 = 0.4542 or 45.42%

total number of girls is 2996 and we found out almost 54% do not play and almost 45% play

Answer: He scored 7 marks

Step-by-step explanation:

Correct answer gets +5, so 5 * 3 = 15

Incorrect answer gets -2 so -2 * 4 = -8

So he scored 15 - 8 = 7

These formulas provide a general understanding of the calculations involved, but specific values and context are required to perform actual calculations.

The formula for a permutation of "n" objects taken "r" at a time is given by:

P(n, r) = n! / (n - r)!

The formula for calculating the z-score of a sample data point "x" in a normally distributed population is given by:

z = (x - μ) / σ

where "μ" is the population mean and "σ" is the population standard deviation.

The formula for calculating the sample mean, denoted as "x-bar," is given by:

x-bar = (x₁ + x₂ + ... + xn) / n

where "x₁, x₂, ..., xn" are the individual data points in the sample, and "n" is the sample size.

The formula for calculating the weighted mean is given by:

weighted mean = (w₁x₁ + w₂x₂ + ... + wnxn) / (w₁ + w₂ + ... + wn)

where "x₁, x₂, ..., xn" are the values of the variable, and "w₁, w₂, ..., wn" are the corresponding weights.

The formula for calculating the grouped mean in a frequency distribution is given by:

grouped mean = Σ(fᵢxᵢ) / Σfᵢ

where "fᵢ" represents the frequency of each group, and "xᵢ" represents the midpoint value of each group.

Variance can be calculated using different formulas depending on the available data.

The counting rule, also known as the multiplication principle, states that if there are "n₁" ways to do one task and "n₂" ways to do another task, then the total number of ways to do both tasks is given by:

Total ways = n₁ * n₂

The multiplication rule for independent events states that the probability of two independent events "A" and "B" both occurring is given by:

P(A and B) = P(A) * P(B)

The addition formula for events that are not mutually exclusive, denoted as "P(A or B)", is given by:

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

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The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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The 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

To determine the 10%-90% rise time of a response, we need to find the time it takes for the response to go from 10% of its steady-state value to 90% of its steady-state value.

Looking at the graph or response data provided, we can estimate that the steady-state value of the response is approximately 1.4.

10% of 1.4 is 0.14, and 90% of 1.4 is 1.26.

So we need to find the time it takes for the response to go from 0.14 to 1.26.

By examining the graph or data, we can see that this occurs between t = 0.9 seconds and t = 1.2 seconds.

The difference between these two times is:

1.2 - 0.9 = 0.3 seconds

Therefore, the 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.

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Answer: 49.14

Step-by-step explanation: All you have to do is multiply the two and then you get 49.14 12.6 X 3.9=49.14

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Answer:

11.5 and 2.5

Step-by-step explanation:

because if u add 11.5+11.5 it equals 23

and if u aff 2.5+2.5, it equals 5.

Answer:

1. -2x+24

2. 3x+21

3. 5x-17

4. 3x²+12x

5. 18

Step-by-step explanation:

2. 3(x)+3(7)=3x+21

3. 5(x)+5(-4)+3= 5x-20+3=5x-17

4. 3x(x)+3x(4)=3x²+12x

5. 3(10)-12=30-12=18

Answer:

1.) -2x + 24

2.) 3x + 21

3.) 5x - 17

4.) 15x

5.) 18

Step-by-step explanation:

1.) The first step to simplify this equation is to combine like terms. Also remember to always keep the sign before the number/variable to use when combining like terms.  

3x + 14 - 5x + 10

3x - 5x + 14 + 10

   -2x + 24

2.) Use distributive property to distribute the 3 to x and 7. Keep the sign.

3(x + 7)

3x + 21

3.) Use distributive property to distribute the 5 to x and 4 then add three. Keep the signs. Combine like terms.

5(x - 4) + 3

5x - 20 + 3

5x - 17

4.) Once again, use distributive property to distribute the 3x to x and 4. When multiplying 3x times x just think of x with a 1 in front of it (1x) and just multiply 3 times 1. Carry the x when multiplying 4x times 4. Combine like terms.

3x (x + 4)

3x + 12x

15x

5.) All you have to do is replace x in "3x" and solve.

3(10) - 12

30 - 12

18

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.

Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.

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Answer:

commutative property

Step-by-step explanation:

Step-by-step explanation:

A polygon is a shape with at least three straight lines and angles

Nick's symptoms are known as hallucinations and delusions, which are characteristic features of psychotic disorders.

Nick's experience of hearing voices and seeing things that others cannot perceive indicates the presence of hallucinations and delusions. Hallucinations are perceptual disturbances that involve seeing, hearing, or sensing things that are not actually present in the external environment. In Nick's case, he hears voices talking to him that no one else can hear. Delusions, on the other hand, are fixed false beliefs that are not in line with the person's cultural or societal interest. In this case, Nick believes that he is being attacked by demons, even though others do not see any evidence of such attacks.

These symptoms are commonly associated with psychotic disorders, such as schizophrenia or schizoaffective disorder. These disorders involve a disruption in the individual's perception of reality, leading to the presence of hallucinations and delusions.

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Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

The matrix must have pivot columns. Otherwise, the equation Ax = 0 would have a free variable, in which case the columns of A would not span R5. Therefore, the correct answer is C.

A pivot column is a column of the matrix that has a non-zero entry in the pivot position and all entries below the pivot are zero. In row echelon form, every row below a pivot column has a zero in the corresponding position. The pivot columns correspond to the linearly independent columns of the original matrix and the number of pivot columns determines the rank of the matrix.

The rank of a matrix is defined as the number of linearly independent columns or rows in the matrix. If the columns of a matrix span Rn, then the rank of the matrix must be equal to n. This means that the matrix must have n linearly independent columns. To ensure that the columns of A span R5, A must have at least 5 pivot columns. If A had fewer pivot columns, then the equation Ax = 0 would have a non-trivial solution, meaning that the columns of A would not be linearly independent and would not span R5.

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Answer:

A 2 ounce bag costs $1.2.

Step-by-step explanation:

With the information provided, you can use a role of three to find the cost of a 2 ounce bag given that you know that a six ounce bag costs $3.60.

6 ounce bag → 3.60

2 ounce bag →   x

x=(2*3.60)/6

x=7.20/6

x=1.2

According to this, the answer is that a 2 ounce bag costs $1.2.

From given data:

The number of blocks that could fit in one box is:

Now the number os blocks could fit in three box is:

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

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Answer:

2

Step-by-step explanation:

i say 2 because you need a controlled variable and then the one subject to change (sorry if not)

The maximum range is 20.

As, per the data the number of observations of each interval is:

1 to 5: 2 observations.

6 to 10: 5 observations.

11 to 15: 2 observations.

16 to 20: 6 observations.

21 to 25: 1 observations.

Here are two similarly high bins, hence the distribution can be said to be bimodal.

The maximum range is

= 25 - 5

= 21 - 1

= 20.

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Answer:

It actually doesn't matter! The key thing is that the dilation value affects the distance between two points. As in the first example (dilation by a factor of 3), A is originally 1 unit down from P and 2 units to the left of P.

1*3 = 3, so A' (the dilated point) should be 3 units down from P.

2*3 = 6, so A' should be 6 units to the left of P.

It doesn't matter if you go left first or down first, because you always determine the location of A' with respect to P based on the location of A (which doesn't move) with respect to P.

Step-by-step explanation:

Answer:

its called a calculator division and multiplication

Step-by-step explanation:

To calculate a 15% tip, you can first find a 10% tip using a shortcut and then add half of that amount to get the 15% tip.

1. Calculate the 10% tip: To find a 10% tip, you can simply move the decimal point one place to the left. For example, if the total bill is $50, the 10% tip would be $5.

2. Determine the 15% tip: To find a 15% tip, you can add half of the 10% tip to the 10% tip amount. In the example above, the 10% tip is $5, so half of that is $2.50. Adding $2.50 to $5 gives a total of $7.50, which is the 15% tip.

Therefore, to calculate a 15% tip, you can first find the 10% tip using the shortcut by moving the decimal point one place to the left. Then, add half of the 10% tip amount to the 10% tip to get the 15% tip.

This method allows you to quickly calculate a 15% tip without needing to use complex calculations.

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Answer:

4500

Step-by-step explanation:

One Kg equals one thousand grams!

Let:

The slope m is given by:

The probability is approximately 0.000183, or about 0.0183%. It's a very low probability, highlighting the challenge of randomly guessing the correct combination.

To calculate the probability that Sofie correctly identifies the set of 3 out of 33 ingredients used in the cake by randomly guessing, we can use the concept of combinations.

The total number of possible combinations of 3 ingredients chosen from a set of 33 ingredients can be calculated using the combination formula:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of ingredients (33 in this case), and r is the number of ingredients chosen (3 in this case).

Plugging in the values:

C(33, 3) = 33! / (3!(33 - 3)!)

        = 33! / (3! * 30!)

        = (33 * 32 * 31) / (3 * 2 * 1)

        = 5456

There are 5456 possible combinations of 3 ingredients that Sofie can choose from.

Since Sofie is randomly guessing, there is only one correct combination out of the total possible combinations. Therefore, the probability of Sofie correctly identifying the set of 3 ingredients is:

Probability = 1 / 5456 ≈ 0.000183

So, the probability is approximately 0.000183, or about 0.0183%. It's a very low probability, highlighting the challenge of randomly guessing the correct combination.

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