find the probability of rolling a seven first and then a four when a pair of dice is rolled twice

Based on this evaluation, the correct answer is:

d. "false : 14 is 104"

The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:

1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.

2. Concatenate " : " to "false": The resulting string also becomes "false : ".

3. Calculate (10 + 4): This arithmetic expression is equals to  14.

4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".

5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".

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The age of the younger dog can be represented in terms of x as y = x - 2. This equation defines a relationship where the age of the younger dog is obtained by subtracting 2 from the age of the first dog.

The age of the younger dog can be expressed in terms of x, where x represents the age of the first dog. To understand this relationship, let's break down the problem and analyze it further.

We are given that the first dog is x years old. Now, we introduce another dog that is 2 years younger than the first dog. This means that the age of the second dog can be calculated by subtracting 2 from the age of the first dog.

To represent this mathematically, we can define a variable y to represent the age of the younger dog. Since the younger dog is 2 years younger than the first dog, we can write the equation as y = x - 2.

Here, y represents the age of the younger dog, and x represents the age of the first dog. By subtracting 2 from x, we obtain the age of the younger dog.

Let's consider an example to illustrate this relationship. Suppose the first dog is 7 years old. To find the age of the younger dog, we substitute x = 7 into the equation y = x - 2:

y = 7 - 2

y = 5

In this case, the younger dog is 5 years old.

By using the equation y = x - 2, we can determine the age of the younger dog for any given age of the first dog. The expression in terms of x allows us to relate the ages of both dogs in a mathematical manner.

In summary, the age of the younger dog can be represented in terms of x as y = x - 2. This equation defines a relationship where the age of the younger dog is obtained by subtracting 2 from the age of the first dog.

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Step-by-step explanation:

4,670,000

->

4.67x10^6

(im pretty sure this is correct) :)

Answer:

I hope it helps

Answer:

It is Third quardant in Graph

Answer:

a10 = 25

Step-by-step explanation:

I'm not certain that I have interpreted the question in the way it was intended; however, if I have:

a 10  =  3 (10 )  −  5  =  

30  −  5  =  25

A stem and leaf plot is a convenient and quick method to organize and display statistical data. The stem-and-leaf plot is ideal for visualizing distribution and frequency and includes specific variables.

A stem and leaf plot for the given data is as follows:

Stem: The first digit(s) in a number is known as the stem, and they are arranged vertically.

Leaf: The last digit(s) in a number is known as the leaf, and they are arranged horizontally.

In the stem-and-leaf plot, each leaf is separated from the stem by a vertical line. The data can be sorted in ascending or descending order to construct the stem-and-leaf plot.

The income of the twenty highest paid athletes is given in the problem, and we are to construct a stem-and-leaf plot for the given data.

The stem-and-leaf plot for the given data is constructed by taking the digit of tens from each data value as stem and the unit's digit as leaf.

The stem and leaf plot for the given data

34 35 37 39 40 40 42 47 47 49 50 54 56 58 59 60 61 69 76 84

is shown below:

3 | 49   57 |   0345678 | 0034479 | 4   6   9 | 0 1

The conclusion drawn from the above stem-and-leaf plot is that the highest income of an athlete is 84 million dollars. Most of the athletes earned between 34 and 69 million dollars. There are no athletes who earned between 70 million and 83 million dollars.

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The probability of a home for sale having a garage but no pool is 0.42.

To do this, we need to use some probability rules. One useful rule is the formula for calculating the probability of an event not occurring. This is given by:

P(not A) = 1 - P(A)

where A is the event we are interested in, and not A is the event of A not occurring.

In this case, we are interested in the probability of a home having a garage but no pool. Let's call this event GNP (short for garage no pool). Using the information given, we know that 60% of homes have garages and 18% have both garages and pools. We can use this information to calculate the probability of a home having a garage but no pool as follows:

P(GNP) = P(G) - P(G and P)

where G is the event of a home having a garage and P is the event of a home having a pool.

Substituting the values we have:

P(GNP) = 0.6 - 0.18

P(GNP) = 0.42

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Answer:

5x_6y=6 and 5 =9 soulply 5 in 6 places u will get ur answer

Answer:

y = 16

Step-by-step explanation:

You would plug in the value given for x into the function given.

\(\frac{1}{3}(18) + 10\)

Type that into a calculator and this would give you the output, which would be the value for Y.

The value for Y is 16.

Hope this helps.

Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

The order from top is

8 - 3

1 - 35

3 - 50

7 - 3/5

Step-by-step explanation:

Answer: B

Step-by-step explanation: 12.8% of 635,000 = 81280

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. Since the diameter is given as 18 units, the radius would be half of that, which is 9 units. Now, substitute the value of the radius into the formula: A = π(9^2) = 81π units^2. Therefore, the correct answer is option b) 81π units^2.


1. Use the formula A = πr^2, where A is the area and r is the radius of the circle.
2. The diameter is given as 18 units, so the radius would be half of that, which is 9 units.
3. Substitute the value of the radius into the formula: A = π(9^2) = 81π units^2.

Therefore, the area of the circle with a diameter of 18 units is 81π units^2.

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To write an equation equivalent to the given one, you have to simplify it.

The first

Answer:

y=3/2x+2

Step-by-step explanation:

The slope is 3/2

To find it find to perfect points or "pretty points" and rise then run, so the point (0,2) is a pretty point and (2/5) is a pretty point to get to this point you rise 3 and run 2, so 3/2.

The y-intercept is 2

To find the y-intercept all you need to do is find the point that passes through the y-axis, so (0,2) the y-intercept would be 2.

Answer: \(x=15\)

Step-by-step explanation:

By the consecutive interior angles theorem,

\(150+3x-15=180\\\\3x-15=30\\\\3x=45\\\\x=15\)

Answer:

ΔDEF

Step-by-step explanation:

T ↔ D     S ↔ E      R ↔ F

ΔTSR is similar to ΔDEF

Given:

'a' and 'b' are the intercepts made  by a straight-line with the co- ordinate axes.

3a = b and the line  pass through the point (1, 3).

To find:

The equation of the line.

Solution:

The intercept form of a line is

\(\dfrac{x}{a}+\dfrac{y}{b}=1\)         ...(i)

where, a is x-intercept and b is y-intercept.

We have, 3a=b.

\(\dfrac{x}{a}+\dfrac{y}{3a}=1\)           ...(ii)

The line  pass through the point (1, 3). So, putting x=1 and y=3, we get

\(\dfrac{1}{a}+\dfrac{3}{3a}=1\)

\(\dfrac{1}{a}+\dfrac{1}{a}=1\)

\(\dfrac{2}{a}=1\)

Multiply both sides by a.

\(2=a\)

The value of a is 2. So, x-intercept is 2.

Putting a=2 in \(b=3a\), we get

\(b=3(2)\)

\(b=6\)

The value of b is 6. So, y-intercept is 6.

Putting a=2 and b=6 in (i), we get

\(\dfrac{x}{2}+\dfrac{y}{6}=1\)

Therefore, the equation of the required line in intercept form is \(\dfrac{x}{2}+\dfrac{y}{6}=1\).

The maximum value of f(x, y) = x + y, subject to the budget constraint 2x + 4y = 8, is 4.

To solve the constrained maximization problem:

Maximize f(x, y) = x + y

Subject to the budget constraint: 2x + 4y = 8

We can use the method of Lagrange multipliers to find the solution.

Step 1: Set up the Lagrangian function:

L(x, y, λ) = f(x, y) + λ(g(x, y) - c)

Where:

f(x, y) = x + y (objective function to maximize)

g(x, y) = 2x + 4y (budget constraint)

c = 8 (constant in the budget constraint)

λ is the Lagrange multiplier.

Step 2: Take partial derivatives of L(x, y, λ) with respect to x, y, and λ:

∂L/∂x = ∂f/∂x + λ∂g/∂x = 1 + 2λ

∂L/∂y = ∂f/∂y + λ∂g/∂y = 1 + 4λ

∂L/∂λ = g(x, y) - c = 2x + 4y - 8

Step 3: Set the partial derivatives equal to zero and solve the resulting system of equations:

1 + 2λ = 0 --> λ = -1/2

1 + 4λ = 0 --> λ = -1/4

2x + 4y - 8 = 0

Solving the last equation:

2x + 4y - 8 = 0

x + 2y = 4

x = 4 - 2y

Substituting x in terms of y into the budget constraint:

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

8 - 4y + 4y = 8

8 = 8

The constraint equation is satisfied.

Step 4: Plug the values of x and y back into the objective function to find the maximum value:

f(x, y) = x + y

f(x, y) = (4 - 2y) + y

f(x, y) = 4 - y

Therefore, the maximum value of f(x, y) = x + y, subject to the budget constraint 2x + 4y = 8, is 4, which occurs when x = 4 - 2y.

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Answer: f (-2) 5

Your welcome

A function is a relation between two variables where one variable is the set of inputs that gives the other variables as output.

The value of the function at x = -2 is 5.

The domain of the function = 5.

The range of the function = -2.

A function is a relation between a set of inputs called domains and it has one output called the range.

Example:

f(x) = x + 2

At x = 2,

f(2) = 2 + 2 = 4

Domain = 2

Range = 4

We have,

f(x) = x² + 4x + 9

We need to find the value of the function at x = -2.

Substitute x = -2 in f(x).

f (-2) = (-2)² + 4x(-2) + 9

f (-2) = 4 - 8 + 9

f (-2) = 5

Thus the value of the function at x = -2 is 5.

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The probability of having the weight 106 on the heavier side is: P(106 on heavier side) = 10/20 = 0.5 or 50%

To calculate the probability of having the weight 106 on the heavier side of the scale, we need to consider the total number of possible outcomes.

Since there are 6 weights (101 to 106) and 3 weights on each side of the scale, there are a total of 6 choose 3 ways to arrange the weights. This can be calculated using the combination formula:

6C3 = 6! / (3! * (6-3)!) = 20

Out of these 20 possible arrangements, we need to determine how many of them have the weight 106 on the heavier side.

If 106 is on the heavier side, then it can be paired with any of the other 5 weights on the same side. This leaves us with 5 choose 2 ways to arrange the remaining 2 weights on the same side:

5C2 = 5! / (2! * (5-2)!) = 10

Therefore, the probability of having the weight 106 on the heavier side is:

P(106 on heavier side) = 10/20 = 0.5 or 50%

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For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated.

The complete question is:

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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We must calculate the standard deviation of the differences between the values in the matched pairs in order to build a confidence interval using those values.

What is the difference between standard deviation and confidence interval?

The 95% confidence interval is another frequently used measure of accuracy. In order to calculate it, a range of values that is 95% likely to contain the true population mean must be created using the standard deviation.

According to the 68-95-99.7 Rule, 95% of values are within two standard deviations of the mean, so to calculate the 95% confidence interval, one need only add and deduct two standard deviations from the mean.

Data dispersion in relation to the mean is quantified by a standard deviation, or σ. Data are said to be more closely clustered around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

The difference between the values in the matched pairs' standard deviation is calculated

To construct a confidence interval using matched pairs, we must compute the standard deviation of the ___ between the values in the matched pairs.

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Answer:

sry i dont know sorry please

Answer:

10 ways

Step-by-step explanation:

Here, we want to calculate the number of ways in which the selection can be made

We have this as follows;

Since we have style starting line up already, it means a choice of 5 has been made from the 13 already. What is left is to make a selection of 3 from 5

To do this, we simply apply the combination formula

that would be;

5 C 3 = 10 ways

Answer:

B

Step-by-step explanation:

Ethical concerns!

Good luck on your assignment hope this helps!:)