There are 7 purple flowers, 9 yellow flowers, and 12 pink flowers in a bouquet. You choose a flower to give to a


friend, then choose another flower for yourself. Is this an independent or dependent event? Explain how you


know.

Answer:

26r^2 + 36r.

Step-by-step explanation:

Answer:

male

Step-by-step explanation:

Answer:

Female  

Step-by-step explanation:

Because all of the other families children are divided equally so if they  are equally and she already had 4 sons so now she is most likely going to have 4 daughters....

When a complex number is plotted on the complex plane, it is represented by a point in the two-dimensional plane with the horizontal axis representing the real part and the vertical axis representing the imaginary part.

To write the number in trigonometric form, we first need to find the modulus, which is the distance between the origin and the point representing the complex number. We can use the Pythagorean theorem to find the modulus. Once we have the modulus, we can find the argument, which is the angle that the line connecting the origin to the point representing the complex number makes with the positive real axis. We can use the inverse tangent function to find the argument in radians and then convert it to degrees. Finally, we can write the complex number in trigonometric form as r(cos(theta) + i sin(theta)), where r is the modulus and theta is the argument. By using this method, we can represent complex numbers in a way that makes it easy to perform arithmetic operations and understand their geometric properties.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

Answer:

Step-by-step explanation:

Using the side proportionality rule of triangles, we can see that the side with length 6 has a \(\frac{2}{3}\) ratio to the side with length 9. We can use the same principle to determine that the side length of 2 is two thirds to side length x. We can set up an algebraic equation to find the value of x: \(\frac{2}{3} x=2\). If we multiply both sides by 3, we get \(2x=6\), therefore x = 3

Stem-and-leaf plots contain original data values where histograms do not. Therefore, option B is the correct answer.

The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.

The "stem" is used to group the scores and each "leaf" shows the individual scores within each group.

The advantage of a stem leaf diagram is it gives a concise representation of data. The advantage of a frequency histogram is, that it is visually strong. Histograms are usually preferable to stem and leaf diagrams in large data sets. The disadvantage of a stem leaf diagram is not visual.

Therefore, option B is the correct answer.

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The postorder traversal of the binary tree T with an inorder traversal of 1, 2, 3, 4 and a preorder traversal of 4, 2, 1, 3 is (A) 1, 3, 2, 4.

Given the inorder traversal of T as 1, 2, 3, 4 and the preorder traversal as 4, 2, 1, 3, we can deduce the structure of the binary tree T. In the preorder traversal, the first element represents the root node, which is 4. Looking at the inorder traversal, we can identify that the left subtree of the root contains elements 1 and 2, while the right subtree contains element 3.

Based on this information, we can construct the binary tree T as follows:

       4

      / \

     2   3

    /

   1

Now, performing a postorder traversal on this tree, we visit the nodes in the following order: 1, 3, 2, 4. Therefore, the correct postorder traversal of tree T is (A) 1, 3, 2, 4.

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Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

The average rate of change per hour in the temperature is 0.83 degrees.

To find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.

The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.

Therefore, the average rate of change per hour can be calculated as follows:

average rate of change per hour = total change in temperature / number of hours

So, we have

average rate of change per hour = 5 degrees / 6 hours

average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)

So, the average rate of change per hour is 0.83 degrees.

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Answer:

NIce first question i will help you

Step-by-step explanation:

3 yards

These calculations provide insights into the employee's earnings, hourly rates, and total hours worked, facilitating proper compensation and payroll management.

In the given scenarios, various calculations are performed to determine gross pay, hourly rate, or total hours worked.

The gross pay of an employee is calculated by multiplying the number of hours worked by the hourly rate.

To find the hourly rate, the gross pay is divided by the number of hours worked.

In some cases, the total hours worked are calculated by dividing the gross pay by the hourly rate.

Additional factors such as overtime or time-and-a-half rates are taken into account to calculate the gross pay accurately.

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The given Djikstra Matrix represents a weighted graph entry in the matrix represents the weight or cost associated with an edge between two vertices.

The digraph corresponding to the Djikstra Matrix can be constructed by representing each row and column in the matrix as a vertex in the graph. The value in each cell of the matrix represents the weight of the edge between the corresponding vertices. If the weight is 0, it means there is no edge between the vertices.

The properties exhibited by this digraph can be determined by analyzing the connectivity and weights of the edges. For example, if there is a path from vertex A to vertex B, it means there is a non-zero weight edge between them. The weight of the edge represents the cost of traversing from one vertex to another. The graph may exhibit properties such as connectivity, reachability, shortest paths, and cycles, depending on the structure of the matrix.

To provide a more detailed explanation of the properties exhibited by the digraph corresponding to the Djikstra Matrix, a thorough analysis of the connectivity, weights, and possible paths would be required.

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To construct the corresponding digraph from the given Djistrka Matrix, we can represent each row as a node in the digraph.

The directed edges are determined by the values in the matrix. If there is a 1 in the matrix at position (i, j), it means there is a directed edge from node i to node j.

Here is the digraph representation:

0 -> 1 -> 4 -> 5 -> 6 -> 8 -> 9

1 -> 4 -> 6 -> 10

2 -> 1 -> 3 -> 5 -> 6 -> 7 -> 8

3 -> 2 -> 5 -> 7 -> 10

4 -> 1 -> 2 -> 4 -> 5 -> 6 -> 8

5 -> 0 -> 1 -> 3 -> 4 -> 5 -> 6 -> 8

6 -> 0 -> 2 -> 3 -> 4 -> 6 -> 9

7 -> 2 -> 3

8 -> 0 -> 2 -> 4 -> 6 -> 8 -> 9

9 -> 0 -> 1

10 -> 0 -> 1 -> 3

Properties of the digraph:Connectivity: The digraph exhibits connectivity, meaning that there is a directed path from any node to any other node. This property is evident from the presence of directed edges between all pairs of nodes in the digraph.

Cycles: The digraph contains cycles, as indicated by the presence of loops and circular paths within the graph. For example, there are cycles involving nodes 0, 1, 4, 5, and 6.

Outdegree and Indegree: The outdegree of a node represents the number of outgoing edges from that node, while the indegree represents the number of incoming edges to that node. In this digraph, the outdegree and indegree of each node vary. For example, node 0 has an outdegree of 3 and an indegree of 3, while node 10 has an outdegree of 2 and an indegree of 3.

Directed Paths: The digraph includes various directed paths between nodes. For instance, there are paths from node 2 to node 7, node 9 to node 1, and node 6 to node 9, among others.

Reachability: Every node in the digraph is reachable from any other node, which means that there are directed paths connecting all pairs of nodes.

Transitivity: The digraph exhibits transitivity, meaning that if there is a directed edge from node A to node B and from node B to node C, then there is also a directed edge from node A to node C. This property is evident from the connectivity within the digraph.

These are some of the properties exhibited by the given digraph constructed from the Djistrka Matrix.

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Answer: Zero product property

n = 0

=========================================

Explanation:

The zero product property is the idea that if A*B = 0, then either A = 0 or B = 0 or both are zero.

This is because we cannot multiply nonzero values to get a result of zero.

In the equation 5*n*2 = 0, we have 5 and 2 as nonzero, which forces the variable n to be zero. So this is why n = 0 is the only solution here.

-----------------

Extra info:

The zero product property is often used in factoring. For example, x^2+5x+6 = 0 factors to (x+3)(x+2) = 0. Then we set the pieces equal to zero and solve for x

x+3 = 0 leads to x = -3

x+2 = 0 leads to x = -2

Null hypothesis (H0): The mean weight for all children in the group is 80 lb or less. (µ <= 80)

Alternative hypothesis (Ha): The mean weight for all children in the group is greater than 80 lb. (µ > 80)

(a) The stem-and-leaf plot for the given weights is as follows:

Stem | Leaves

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

5    | 3

6    | 0 3

7    | 0 1 1 1 3 7

8    | 0 3 5 5 9

9    | 0 5 8

10   | 0

The distribution appears to be somewhat skewed to the right, with most of the weights clustered around the middle to higher end.

(b) To calculate the mean and standard deviation of the sample data:

Mean (µ) = (sum of all observations) / (number of observations)

= (70 + 98 + 85 + 75 + 90 + 95 + 77 + 80 + 73 + 60 + 63 + 72 + 53 + 69 + 83 + 89 + 71 + 77 + 80 + 100) / 20

= 79.35 pounds

Standard Deviation (σ) = √([(70 - 79.35)² + (98 - 79.35) + ... + (100 - 79.35)²] / (20 - 1))

= 11.42 pounds

(c) Hypothesis testing steps:

Null Hypothesis (H0): μ >= 80 (mean weight is greater than or equal to 80 lb)

Alternative Hypothesis (Ha): μ < 80 (mean weight is less than 80 lb)

This is a left-tailed test since the alternative hypothesis suggests that the mean weight is less than 80 lb.

Sample Size (n) = 20

Sample Mean (X) = (70 + 98 + 85 + 75 + 90 + 95 + 77 + 80 + 73 + 60 + 63 + 72 + 53 + 69 + 83 + 89 + 71 + 77 + 80 + 100) / 20 = 77.85

Sample Standard Deviation (s) = √[Σ(xi - X)² / (n - 1)] = √[1302.725 / 19] = 7.40

Since the significance level (α) is given as 0.05, and this is a left-tailed test, we need to find the critical value from the t-distribution table.

Degrees of Freedom (df) = n - 1 = 20 - 1 = 19

Critical Value (tcritical) at α = 0.05 and df = 19 is -1.729.

The rejection region is any t-value less than -1.729.

The t-statistic can be calculated using the formula: t = (X - μ) / (s / √n)

t = (77.85 - 80) / (7.40 / √20) ≈ -0.713

Since the calculated t-statistic (-0.713) does not fall into the rejection region (t < -1.729), we fail to reject the null hypothesis.

Based on the given data set, with a 0.05 significance level, there is not enough evidence to conclude that the mean weight for all children in the group is less than 80 lb.

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Assuming that the "9ft" and "11ft" refer to the dimensions of a right circular cone, we can find the surface area of the cone using the formula:

A = πr² + πrl

where r is the radius of the base of the cone, l is the slant height of the cone, and π is approximately equal to 3.14.

To find the radius and slant height, we can use the Pythagorean theorem.

Let's assume that 9ft is the height of the cone, and 11ft is the slant height.

Then, we have:

r² + 9² = 11²

r² + 81 = 121

r² = 40

r ≈ 6.32 ft

Now that we have the radius and slant height, we can find the surface area of the cone:

A = πr² + πrl

A = π(6.32)² + π(6.32)(11)

A ≈ 199.3 square feet

Therefore, the surface area of the cone is approximately 199.3 square feet.

1 Remove parentheses.

3d-2=d+5

2 Add 22 to both sides.

3d=d+5+2

3 Simplify  d+5+2  to  d+7.

3d=d+7

4 Subtract d from both sides.

3d-d=7

5 Simplify  3d-d to  2d.

2d=7

6 Divide both sides by 2.

7/2=d

7 Flip sides.

d=7/2

(Optional decimal form)

d=3.5

So 7/2 or 3.5

The rent expense allocated to each department is as follows: Jewelry department: $30,800, Cosmetics department: $46,200, Housewares department: $21,000, Tools department: $9,000, Shoes department: $18,000.

The retailer allocates 70% of the total rent expense to the first floor and 30% to the second floor. Then, the rent expense for each floor is allocated to the departments based on the square footage they occupy. By applying these allocation percentages and calculations, we determined the rent expense for each department.

Rent expense allocation:

- Jewelry department (1,760 sq ft on the first floor): ($130,000 * 70% * 1,760 sq ft) / (1,760 sq ft + 2,640 sq ft) = $30,800

- Cosmetics department (2,640 sq ft on the first floor): ($130,000 * 70% * 2,640 sq ft) / (1,760 sq ft + 2,640 sq ft) = $46,200

- Housewares department (1,848 sq ft on the second floor): ($130,000 * 30% * 1,848 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $21,000

- Tools department (792 sq ft on the second floor): ($130,000 * 30% * 792 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $9,000

- Shoes department (1,760 sq ft on the second floor): ($130,000 * 30% * 1,760 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $18,000

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A retailer pays \( \$ 130,000 \) rent each year for its two-story building. Space in this building is occupied by five departments as shown here.

Jewelry department - 1,760 square feet of first-floor space

Cosmetics department - 2,640 square feet of first-floor space

Housewares department - 1,848 square feet of second-floor space

Tools department - 792 square feet of second-floor space

Shoes department - 1,760 square feet of second-floor space

The company allocates 70% of total rent expense to the first floor and 30% to the second floor, and then allocates rent expense for each floor to the departments occupying that floor on the basis of space Occupied.

Determine the rent expense to be allocated to each department

Answer:

-15

Step-by-step explanation:

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

Answer:

y=6,95x+35

y=6,95*5+35=69,75 for 5 hours

for 6 hours y=76,7

for 7 hours y=83.65

for 8 hours y=90,6

Step-by-step explanation:

Answer:

to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours

Step-by-step explanation:

to rent a popcorn machine, it costs 35$ plus $6.95 for each hour. write and evaluate an expression to find the total cost of renting the popcorn machine for 5 hours. then make a table showing the cost for 5, 6, 7, and 8 hours

Answer:

The probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.

Step-by-step explanation:

Let p = proportion of advertisers who claim they have been a victim of click fraud.

The population proportion is, p = 0.40.

A random sample of 380 advertisers is selected.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p\)

The standard deviation of this sampling distribution of sample proportion is:

\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)

The sample selected is too large, i.e. n = 380 > 30.

Then the proportion of advertisers who claim they have been a victim of click fraud can be approximated by the normal distribution.

The mean and standard deviation of this sampling distribution of sample proportion is:

\(\mu_{\hat p}=p=0.40\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{380}}=0.025\)

Compute the probability that the sample proportion will be with 0.04 of the population proportion as follows:

\(P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.025}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.04}{0.025})\)

                                       \(=P(-1.60<Z<1.60)\\=P(Z<1.60)-P(Z<-1.60)\\=0.94520-0.05480\\=0.8904\)

Thus, the probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5

Answer:

( k-4)(k+2)

Step-by-step explanation:

k² - 2k - 8

What 2 numbers multiply to -8 and add tp -2

-4*2 = -8

-4+2 = -2

( k-4)(k+2)

Refer to the attachment for steb-by-step explanation.

Answer:23.7

Step-by-step explanation:

Answer:

2.31 ×10 ^− 2

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

For two triangles to be similar by side-angle-side (SAS) similarity, they must have two pairs of proportional sides and an included angle that is congruent between them.

How to prove similarity?

Let's consider triangles FGH and JKL. By inspection, we can see that FG is proportional to JK and GH is proportional to KL. Additionally, the included angles ∠FGH and ∠JKL are congruent, which means that we have two pairs of proportional sides and an included congruent angle.

Therefore, we can conclude that triangles FGH and JKL are similar by SAS similarity. This means that the corresponding angles of the two triangles will be congruent, and the corresponding sides will be in proportion to each other.

We can use this similarity to find missing side lengths or angles. For example, if we know the length of FG in triangle FGH and the length of JK in triangle JKL, we can use their proportionality to find the length of GH or KL. Similarly, we can use the congruent angles to find other missing angles in either triangle.

It is important to note that if we were to show that two triangles are similar by SAS, we must show that no other pair of sides or angles are congruent between the two triangles. If there were another pair of congruent sides or angles, we would need to use a different similarity criterion such as angle-angle (AA) or side-side-side (SSS).

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Answer:

the domain is continuous

Step-by-step explanation:

hope this helps :)

Answer:

16% or 15.5%

Step-by-step explanation:

so just do (890-770)/770