the cost you pay for online order is equal to the item cost plus 5.95 shipping. if you paid 157.95 what did your item cost( write and solve an equation for situation)

Answer:

Using Piragorean Theorem:

\(x=\sqrt{7^2+10^2}=\sqrt{100+49}=\sqrt{149}\)

Answer:

\(\sqrt{149\)

Step-by-step explanation:

7² + 10² = 12.21²

49 + 100 = 149

It can be concluded that there is a significant positive correlation between the time it takes to complete a puzzle and the IQ scores of these participants.

To determine the correct decision about the null hypothesis test, we need to compare the calculated Pearson's correlation coefficient (r) of 0.31 to a critical value based on the sample size and level of significance.

Assuming a significance level of 0.05 (or alpha = 0.05) and a two-tailed test, we can use a t-distribution with degrees of freedom (df) equal to n-2, where n is the sample size. For a sample size of 97, df = 95.

Using a table or calculator, we can find the critical t-value that corresponds to a significance level of 0.05 and 95 degrees of freedom. The critical t-value is approximately 1.984.

Next, we can calculate the t-value for the observed correlation coefficient using the formula:

\(t = r * sqrt(n-2) / sqrt(1-r^2)\)

where r is the observed correlation coefficient and n is the sample size.

Plugging in the values, we get:

t = 0.31 * sqrt(97-2) / sqrt(1-0.31^2) = 3.23

The absolute value of the calculated t-value (3.23) is greater than the critical t-value (1.984), indicating that the correlation coefficient is statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no correlation between the time it takes to complete a puzzle and the IQ scores of the adult participants.

Therefore, we can conclude that there is a significant positive correlation between the time it takes to complete a puzzle and the IQ scores of these participants. However, we cannot make any causal claims based on this correlation alone, as there may be other variables that could explain the relationship.

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Answer:60 second

Step-by-step explanation:

Answer:

324 and 144

Step-by-step explanation:

We require

a₁, a₂, a₃, a₄

where a₂ and a₃ are the required geometric means

The n th term of a geometric sequence is

\(a_{n}\) = a₁\((r)^{n-1}\)

where a₁ is the first term and r the common ratio

Here a₁ = 729 and a₄ = 64, thus

729(r³) = 64 ( divide both sides by 729 )

r³ = \(\frac{64}{729}\) ( take the cube root of both sides )

r = \(\sqrt[3]{\frac{64}{729} }\) = \(\frac{4}{9}\) , then

a₂ = 729 × \(\frac{4}{9}\) = 81 × 4 = 324

a₃ = 324 × \(\frac{4}{9}\) = 36 × 4 = 144

Thus

729, 324, 144, 64

The W14×30 beam is a specific type of steel beam, commonly used in construction and structural applications. The designation "W14×30" indicates its dimensions and shape. The "W" stands for wide flange, indicating that the beam has a wide flange section. The number "14" refers to the beam's depth in inches, and "30" represents the weight per foot in pounds.

To analyze the beam's behavior, additional information is required, such as the applied loads and the supports at each end. With this information, it is possible to determine the beam's deflection, bending moment, and shear force distribution.

The properties of the beam, such as its elastic modulus (E) and moment of inertia (I), are also important for analyzing its behavior under load. The elastic modulus represents the stiffness of the material, while the moment of inertia measures the beam's resistance to bending.

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Answer:

length= 5 + x

breadth = 6 + 2x

area = 30 + 16x + 2x^2

Answer:

A. x = -2, x = 1.25

Step-by-step explanation:

Use the quadratic formula

x = \(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\)

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x² + 3x - 10 = 0

a = 4

b = 3

c = - 10

x = \(\frac{-3+\sqrt{3^{2}-4x4(-10) } }{2x4}\)

Simplify

Evaluate the exponent

x = \(\frac{-3+\sqrt{9-4x4(-10)} }{2x4}\)

Multiply the numbers

x = \(\frac{-3+\sqrt{9+160} }{2x4}\)

Add the numbers

x = \(\frac{-3+\sqrt{169} }{2x4}\)

Evaluate the square root

x = \(\frac{-3+13}{2x4}\)

Multiply the numbers

x = \(\frac{-3+13}{8}\)

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x = \(\frac{-3+13}{8}\)

x = \(\frac{-3-13}{8}\)

Solve

Rearrange and isolate the variable to find each solution

x = - 2

x = 1.25

Answer:

A. x = -2, x = 1.25

Step-by-step explanation:

Use the sum-product pattern

4x² + 3x - 10 = 0

4x² + 8x - 5x - 10 = 0

Common factor from the two pairs

(4x² + 8x) + (-5x - 10) = 0

4x (x + 2) - 5 (x + 2) = 0

Rewrite in factored form

4x (x + 2) - 5 (x + 2) = 0

(4x - 5)(x + 2) = 0

Create separate equations

(4x - 5)(x + 2) = 0

4x - 5 = 0

x + 2 = 0

Solve

Rearrange and isolate the variable to find each solution

x = 1.25

x = - 2

Answer:

\(\boxed{AC = 42.99}\)

Step-by-step explanation:

Tan 34 = \(\frac{opposite}{adjacent}\)

Where opposite = 29, adjacent = AC

So,

0.674 = \(\frac{29}{AC}\)

AC = \(\frac{29}{0.674}\)

AC = 42.99

Answer:

a² + b² = 20

Step-by-step explanation:

Given

(a - b) = 4 ← square both sides

(a - b)² = 4²

a² - 2ab + b² = 16 ← substitute ab = 2

a² - 2(2) + b² = 16

a² - 4 + b² = 16 ( add 4 to both sides )

a² + b² = 20

Answer:

35,841,000

Step-by-step explanation:

358.41x10^5

Move the decimal 5 places to the right

35,841,000

Using the optimal order quantity and two other order quantities, we calculate the profit for each case and find the expected profit by averaging over 1000 simulations.

To find the expected profit from the muffins using a simulation approach, we can generate random demand numbers based on a normal distribution with a mean of 2000 and a standard deviation of 150. We will consider three different order quantities and calculate the profit for each.

Let's consider the optimal order quantity first. To determine the optimal order quantity, we need to maximize profit, which occurs when the order quantity matches the expected demand. In this case, the optimal order quantity is 2000, the mean demand.

Using the Excel function NORMINV(RAND(), 2000, 150), we generate 1000 random demand numbers. For each demand number, we calculate the profit as follows:

Profit = (Selling price - Cost price) * Min(Demand, Order quantity)

The selling price is $1.25 per muffin, and the cost price is $0.40 per muffin. The Min(Demand, Order quantity) ensures that the profit is calculated based on the actual demand up to the order quantity.

We repeat this process for two other order quantities, let's say 1800 and 2200, to observe how the expected profit changes.

After simulating 1000 random demand numbers for each order quantity, we calculate the average profit for each case. The expected profit is the average profit over the 1000 simulations.

By comparing the expected profit for each order quantity, we can identify which order quantity yields the highest expected profit.

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The example code will return one of the valid paths from (0,0) to (3,3) that avoids the circles in . The algorithm can be applied to different grid sizes and sets of circles to find valid paths.

To find a path from (0,0) to (,) while avoiding the circles in , we can use a modified version of the breadth-first search (BFS) algorithm. The algorithm will explore the grid, considering all possible moves, but it will skip points that are on or inside the circles.

Here's the step-by-step algorithm:

1. Initialize an empty queue for BFS and an empty set to keep track of visited points.

2. Enqueue the starting point (0,0) to the queue.

3. While the queue is not empty, do the following:

  - Dequeue the first point from the queue.

  - Check if the point is the destination point (,). If yes, return the path.

  - Check if the point is inside any of the circles in . If yes, skip the point and continue to the next iteration.

  - Otherwise, mark the point as visited and enqueue its neighboring points that are within the grid bounds and not visited before.

4. If the queue becomes empty without finding a path to the destination point, return an empty list (no path exists).

Here's a Python implementation of the algorithm:

Python

from collections import deque

def find_path(W, H, C):

   visited = set()

   queue = deque([(0, 0, [])])  # (x, y, path)

   while queue:

       x, y, path = queue.pop left()

       if x == W and y == H:

           return path + [(W, H)]

       if any((x - cx) ** 2 + (y - cy) ** 2 <= r ** 2 for cx, cy, r in C):

           continue

       if 0 <= x <= W and 0 <= y <= H and (x, y) not in visited:

           visited.add((x, y))

           queue.extend([

               (x + 1, y, path + [(x, y)]),

               (x - 1, y, path + [(x, y)]),

               (x, y + 1, path + [(x, y)]),

               (x, y - 1, path + [(x, y)])

           ])

   return []

# Example usage:

W = H = 3

C = [(1, 2, 1), (2, 2, 0.5)]

path = find_path(W, H, C)

print(path)

Running the example code will return one of the valid paths from (0,0) to (3,3) that avoids the circles in . The algorithm can be applied to different grid sizes and sets of circles to find valid paths.

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The complete question is:<We have a rectangular grid of points where one corner is (0,0) and the other corner is (,), where , represent the width and height of the grid, respectively. From each point (,), we can move along one of the cardinal directions to (′,′) ∈ {(+1,) ,(−1,) ,(,+1), (,−1)}, as long as 0≤′≤ and 0≤′≤ (i.e, we are not allowed to move out of the grid).

Furthermore, we specify a set of circles = {(1,1,1),…,(,,)} where each circle has center (,) and radius .

The goal is to find a path from (0,0) to (,) while avoiding any point on the surface of or inside the circles in . If such a path is found, your algorithm should return the path as a list of grid points. If not, your algorithm should return the empty list.

Example 1

Consider = = 3 and two circles = {(1,2,1),(2,2,0.5)}.

3

2

1

0

0

1

1

0.5

2

3

The red lines show a path from (0,0) to (3,3). Your algorithm may return a list [(0,0), (1,0), (2,0), (3, 0), (3,1), (3,2), (3,3) ] (there is another path in this case and any of them may be returned>

Yes, there could be a total number of 7 kids in the group with more than 1/2 of them being boys and less than 2/3 of them being boys.

Let's assume that the total number of kids in the group is x.

According to the problem, more than 1/2 of the group are boys. Mathematically, we can represent this as:

Number of boys > x/2

Also, the boys are less than 2/3 of the group. Mathematically, we can represent this as:

Number of boys < 2x/3

Now, let's substitute x=7 in the above two equations:

Number of boys > 7/2 = 3.5 --- (1)

Number of boys < 14/3 ≈ 4.67 --- (2)

From equation (1), we can conclude that there must be at least 4 boys in the group.

From equation (2), we can conclude that there can be at most 4 boys in the group because the number of boys cannot be a fraction.

Therefore, the possible number of boys in the group could be either 4 or 3. If there are 4 boys, then the number of girls in the group would be 3. If there are 3 boys, then the number of girls in the group would be 4.

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Therefore, there are 8820 groups of 9 that contain 5 women and 4 men using combination formula.

To solve part (b)(i), we need to use the combination formula. The number of ways to choose 5 women out of 9 is given by the combination C(9,5), which is:

C(9,5) = 9! / (5! * 4!)

= 126

Similarly, the number of ways to choose 4 men out of 8 is given by the combination C(8,4), which is:

C(8,4) = 8! / (4! * 4!)

= 70

To get the total number of groups of 9 that contain 5 women and 4 men, we need to multiply these two numbers:

126 * 70 = 8820

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Answer:

Explanation:

First we evalaute g(x) at x = 3

Now we evaluate F(g(3)) by putting in g(3) = 9.

Hence,

which is our answer!

Answer:

1

Step-by-step explanation:

x-1+ 1 /5*( x-1)=0

(x-1)*6/5=0

x=1

Without the histograms, there's no specific region as an answer. However, you can follow these steps to determine the region with the least standard deviation in level of interest based on the provided data.

To determine the region with the least standard deviation in level of interest, we need to analyze the histograms for each region. Standard deviation is a measure of how spread out the data is. The region with the least standard deviation will have data points that are more closely clustered around the mean (average) level of interest.


1. Examine the histograms for each region.
2. Look for the region where the data points are more tightly grouped around the mean level of interest. This indicates less variability and a smaller standard deviation.
3. Identify the region with the least standard deviation in level of interest.

To determine the region with the least standard deviation in the level of interest, examine the histograms for each region and identify the one where data points are tightly clustered around the mean level. Calculate the standard deviation for each region and select the region with the smallest value, indicating a more concentrated and less variable distribution of the level of interest.

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So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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Based on the definition of bisection, the value of x is: 23.

When a ray bisects an angle in such a way that it produces two smaller angles that are equal in measure to each other, it is said that the angle has been bisected.

Given the image below which shows that ray BD bisects angle ABC to form angle ABD and angle CBD, it means both angles would be equal to each other.

Measure of angle ABD = 2x - 1

Measure of angle CBD = 45

Therefore:

m<ABD = m<CBD

Substitute:

2x - 1 = 45

2x = 45 + 1

2x = 46

2x/2 = 46/2

x = 23

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Answer: Cameron can buy 6 outfits

Step-by-step explanation:

449.6 \(\leq 70.25x\)

70.25 * 6 = 421

1/9 is the answer for that question

I thought it was 6/36 but I guess I was wrong

¯\_(ツ)_/¯

Answer:

\(m=0\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-12, 1)

Point (4, 1)

Step 2: Find slope m

Answer:

zero; it is a horizontal line

Step-by-step explanation:

equation of slope: \(\frac{y1-y2}{x1-x2}\)         (-12, 1) (4, 1)

\(\frac{1-1}{-12-4}\) = \(\frac{0}{-16}\)

Because the numerator is zero, the slope of the line is zero. It is a horizontal line.

Answer:

1

Step-by-step explanation:

Answer:

$368

Step-by-step explanation:

What is 50% of $736?

50% = \(\frac{50}{100}\) = \(\frac{1}{2}\)

We Take

736 x  \(\frac{1}{2}\) = $368

So, 50% of $736 is $368.

The mean of the uncertainty distribution is 3.7

The probability distribution of a random event describes the likelihood of each possible outcome of that event.

In the case of the modified die at Pharaoh's Palace, the management has changed the standard probability distribution so that the probability of each side is proportional to the number of spots on the side.

The possible outcomes are 1, 2, 3, 4, 5, and 6, and their probabilities can be calculated by summing up the probabilities of each side and ensuring that they add up to 1.

The mean of the uncertainty distribution is calculated by taking the sum of each possible outcome multiplied by its probability and dividing by the number of possible outcomes.

In this case, the mean is approximately 3.7.

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The absolute value of x=5 is 5.

The absolute value of a number is its positive equivalent of the number

For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.

Generally, it is denoted by the symbol |x|.

So, we have

The absolute value of x=5

This gives

x = |5|

Evaluate

x = 5

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