A bucket contains 10 balls numbered as follows: 1, 2, 2,3,3,3,3,4,4,5. A
single ball is randomly chosen from the bucket. What is the probability of
drawing a ball numbered 3?

Answer:

Commutative property of addition.

Step-by-step explanation:

The given expression is:

x + y + z = z + y + x

To match the example with the corresponding property, we need to simplify the expression using the commutative property of addition.

According to the commutative property of addition, the order of the terms in an addition expression does not affect its value. That is:

a + b = b + a

Using this property, we can rewrite the given expression as:

x + y + z = x + y + z

we see that both sides of the equation are identical. This means that the expression is true, regardless of the values of x, y, and z.

Therefore, the example "x + y + z = z + y + x" matches with the commutative property of addition.

The complex velocity as a function of z is u - iv = (2Iz - I(z₁ + z₂)) / ((z - z₁) * (z - z₂))

(a) The complex potential w of the flow can be expressed as:

w(z) = I * ln(z - z₁) + I * ln(z - z₂)

Here, z₁ represents the center of the first line vortex at z = 6, and z₂ represents the center of the second line vortex at z = 51. The ln() function denotes the natural logarithm.

(b) The complex velocity u - iv can be obtained by taking the derivative of the complex potential with respect to z:

u - iv = d(w(z))/dz

To find this derivative, we need to apply the chain rule. Let's first find the derivative of each term:

For the first term: d(I * ln(z - z₁))/dz = I / (z - z₁)

For the second term: d(I * ln(z - z₂))/dz = I / (z - z₂)

Adding these derivatives, we get:

u - iv = I / (z - z₁) + I / (z - z₂)

Simplifying this expression, we can combine the two terms over a common denominator:

u - iv = (I * (z - z₂) + I * (z - z₁)) / ((z - z₁) * (z - z₂))

Expanding the numerator, we have:

u - iv = (2Iz - I(z₁ + z₂)) / ((z - z₁) * (z - z₂))

So, the complex velocity as a function of z is:

u - iv = (2Iz - I(z₁ + z₂)) / ((z - z₁) * (z - z₂))

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Given:

The line symmetry.

Aim:

We need to find the transformation that line symmetry involved.

Explanation:

Recall that line symmetry is the line in the middle acts as a mirror.

the figure flips to make a mirror image of itself in reflection.

Hence the line of symmetry is involved reflection transformation.

Final answer:

The line of symmetry is involved in reflection transformation.

Answer:

Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.

Step-by-step explanation:

Hình tròn lớn và hình tròn nhỏ có cùng tâm O. Tính diện tích hình tròn lớn, biết rằng diện tích hình tròn nhỏ là 12,56m2.

The polynomial function \(\(f(x) = 2(x^2+3)(x+1)^2\)\) has zeros at -3 with multiplicity 1, and -1 with multiplicity 2. The graph of the function crosses the x-axis at -3 and -1.

To find the zeros and their multiplicities, we set \(\(f(x)\)\) equal to zero and solve for \(\(x\).\)

Setting \(\(f(x) = 0\),\) we have:

\(\[2(x^2+3)(x+1)^2 = 0\]\)

Since the product of two factors is zero, at least one of the factors must be zero. Thus, we solve for \(\(x\)\) in each factor separately:

1. \(\(x^2 + 3 = 0\):\)

  This equation does not have real solutions since the square of a real number is always non-negative. Therefore, this factor does not contribute any real zeros.

2. \(\(x + 1 = 0\):\)

  Solving for \(\(x\), we find \(x = -1\).\) This gives us a zero at -1 with multiplicity 1.

Since the factor \(\((x+1)^2\)\) is squared, the zero -1 has a multiplicity of 2.

Therefore, the zeros for the polynomial function are -3 with multiplicity 1 and -1 with multiplicity 2. The graph of the function crosses the x-axis at both zeros.

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Answer:

25 N

Step-by-step explanation:

Answer:

16 Degrees

Step-by-step explanation:

14-7=7     7+9=16

To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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The System Effectiveness is approximately 0.763.

To calculate the System Effectiveness, we need to multiply the values of Operational Readiness, Design Adequacy, Availability, Maintainability, and Mission Reliability.

System Effectiveness = Operational Readiness * Design Adequacy * Availability * Maintainability * Mission Reliability

Plugging in the given values:

System Effectiveness = 0.89 * 0.95 * 0.98 * 0.93 * 0.99

System Effectiveness ≈ 0.763

Therefore, the System Effectiveness is approximately 0.763.

The correct answer is a. 0.763.

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Answer:

62.84

Step-by-step explanation:

pie=3.142

c=pie * diameter

r=10cm

d=2r

d=2(10)=20cm

c=3.142 * 20

c=62.84

Step-by-step explanation:

Formula for the Circumference of a circle = 2πr

C = 2πr

C = (2 * 3.142) * 10

C = 6.284 * 10

C = 62.84cm

Answer:

30156.56 mm²

Step-by-step explanation:

Given

Radius ( r ) = 98 mm

π = 3.14

To find : Area of the circle

Formula

Area of the circle = πr²

Area of the circle

= 3.14 x 98²

= 3.14 x 98 x 98

= 30156.56 mm²

Answer:

3x-4(4) =65

3x-16 =65

3x=65+16

3x=81

x = 27

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL. HAVE A GREAT DAY.

Answer:

x=27

Step-by-step explanation:

since y=4, you just have to plug in 4 for y, then solve.

3x-4y=65

3x-4(4) = 65

3x-16=65

add 16 on both sides

3x=81

dive by 3 on both sides

x=27

Answer:

To calculate the total milk yield in one year, we need to multiply the number of dairy cows by the amount of milk each cow produces per year:

Total milk yield = 2650 dairy cows × 2320 gallons of milk per cow per year

Total milk yield = 6,188,000 gallons per year

To write this answer in scientific notation, we need to express the number 6,188,000 as a number between 1 and 10 multiplied by a power of 10. We can do this by moving the decimal point to the left until we have a number between 1 and 10, and counting the number of decimal places we moved. In this case, we need to move the decimal point 6 places to the left:

Total milk yield = 6.188 × 10^6 gallons per year

Therefore, the dairy farm yields 6.188 × 10^6 gallons of milk per year.

Given the sales tax rate of 6.25% and the total cost of the items purchased at Walmart as $35.02, we can calculate the total cost including tax. To do this, we first need to find the tax amount on the purchase.

Tax amount = (Tax rate * Total cost of items) / 100
Tax amount = (6.25 * $35.02) / 100
Tax amount = $2.18875

Now, round the tax amount to the nearest cent:
Tax Amount ≈ $2.19

Next, add the tax amount to the total cost of the items to find the total cost including tax:
Total cost including tax = Total cost of items + Tax amount
Total cost including tax = $35.02 + $2.19
Total cost including tax ≈ $37.21

So, the total cost of the items purchased at Walmart, including the 6.25% sales tax, is approximately $37.21.

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Step-by-step explanation:

2\3x+6=10

2\3x=10-6 by transposition method

2\3x=4

2x=4×3 by transposition method

2x=12

x=12÷2

x=6

Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Step-by-step explanation:

\( \sqrt{x} \\ \sqrt{x} \times \frac{ \sqrt{x} }{ \sqrt{x} } \\ \frac{ \sqrt{x } \times \sqrt{x} }{ \sqrt{x} } \\ \frac{x}{ \sqrt{x} } \)

Answer:

8.49

Step-by-step explanation:

Posted in the image due to lack of proper format.

Answer:

Hence its true.

Explanation:

a + b = c   [ equation 1 ]

b = x          [ equation 2 ]

solve:

replace b with x as they are equal.

a + x = c

Answer:

46

Step-by-step explanation:

46

Answer:

25%

Step-by-step explanation:

6×4 =24

25×4=100

I just see it like this, not sure why but that's how my mind processed it. good luck

Answer:

This should be the answer

Step-by-step explanation:

One = a, c, f, e

Infinite = d

No = b

Cohen's conventions for interpreting d, this effect is small. Therefore, the correct answer is a. small.

According to Cohen's conventions for interpreting the effect size (d), the effect described in the study is considered "small." Cohen's conventions provide a general guideline for categorizing the magnitude of an effect size.

In this case, the effect size (d) is calculated to be 0.02. Cohen's conventions typically classify effect sizes as follows:

Small effect: d = 0.2

Medium effect: d = 0.5

Large effect: d = 0.8

Since the effect size of 0.02 is significantly smaller than the threshold for a small effect (0.2), it falls into the "small" category. This means that the difference in the number of words uttered per day between men and women, as reported in the study, is relatively small or negligible in practical terms.

Therefore, the correct answer is a. small.

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Answer:

15x -4 = 11x       and          4x+5=9x

9 timees11 = 20x

Step-by-step explanation:

20x for first anwer

thank me later emmitheblackbobcat

Answer:

I can't understand the person above. but by looking at his results; they are equivalent to mine for this question.

The number of years that he ruled as an Emperor is B. 41 years.

From the information, it was stated that Octavian became the emperor of rome in 27 b.c. and that he ruled until his death in a.d. 14

Therefore, the number of years that he rules will be:

= 27 + 14

= 41

Therefore, the number of years that he ruled as an Emperor is 41 years.

In conclusion, the correct option is B.

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The evaluation approach described in the given scenario is B.) forced distribution.

Forced distribution is an evaluation approach where performance ratings are distributed among employees according to predetermined percentages. In this case, the professor has predetermined that 10% of the class will receive an "A", 20% will receive a "B", 40% will receive a "C", 20% will receive a "D", and 10% will receive an "F".

This approach imposes a forced ranking system that restricts the distribution of grades based on predetermined proportions. Forced distribution can be useful in certain contexts as it helps differentiate performance levels and prevent grade inflation or deflation.

However, it also has limitations, as it may not accurately reflect individual performance and can create a competitive environment among students. It is important for educators to carefully consider the implications and potential drawbacks of using forced distribution in educational settings.

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