6,520 to 9,408
Percent of change

Answer:

It is -108

Step-by-step explanation:

Hope it helps!

a. To find the standard error of the sampling distribution of sample means:

Standard deviation = sqrt(Variance of the population)

Since the population standard deviation is not given, we assume it is 1.

Standard error = (Standard deviation) / sqrt(n)

        = (1) / sqrt(100)

        = 0.01  (rounded to 2 decimal places)

b.

Standard error = 0.01  (from part a)

z = (4.7 - mean) / 0.01

        = (4.7 - 5) / 0.01

        = -0.3  (rounded to 2 decimal places)

Chance that sample mean is between 4.7 and 5.9 hours

        = P(z > -0.3) + P(z < 0.3)

        = 0.762 + 0.761

        = 0.7524  (rounded to 4 decimal places)

c.

Standard error = 0.01  (from part a)

z = (5.1 - mean) / 0.01

        = 0.1  (rounded to 2 decimal places)

Chance that sample mean is between 5.1 and 5.5 hours

        = P(z > 0.1) + P(z < -0.1)

        = 0.4583 + 0.4603

        = 0.4593  (rounded to 4 decimal places)

d.

Standard error = 0.01  (from part a)

z = (7.60 - mean) / 0.01

        = 3  (rounded to 2 decimal places)

Chance that sample mean is greater than 7.60 hours

        = P(z > 3)

        = 0  (rounded to 4 decimal places)

This would be very unlikely.

Answer:SORRY CANT HELP U THERE

Step-by-step explanation:

The solution to the problem are 8 × 3 = 24, –7 × 5 = -35, –6 × (–9) = 54, 8 ÷ (–2) = -4, –24 ÷ (–3) = 8, –36 ÷ 6 = -6.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.

Solve as shown below,

(a) 8 × 3 = 24

(b) –7 × 5 = -35

(c) –6 × (–9) = -(-54) = 54

(d) 8 ÷ (–2) = 8 × 1 / (-2) = - 4

(e) –24 ÷ (–3) = -24 ×  1 / (-3) = 8

(f) –36 ÷ 6 = -36 × 1 \ 6 = -6

Therefore, the solution to the problem are 8 × 3 = 24, –7 × 5 = -35, –6 × (–9) = 54, 8 ÷ (–2) = -4, –24 ÷ (–3) = 8, –36 ÷ 6 = -6.

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i think the answer is linear I am not sure though

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

We have,

To determine if the die is balanced, we can perform a chi-square test of goodness of fit.

The null hypothesis is that the die is balanced, and the alternative hypothesis is that the die is not balanced.

First, let's calculate the expected frequencies for each outcome assuming the die is balanced. Since there are 180 tosses in total, each outcome is expected to have an equal probability of 1/6.

Expected frequency for each outcome

= (Total tosses) x (Probability of each outcome)

Expected frequency for each outcome = (180) x (1/6)

Expected frequency for each outcome = 30

Now, we can calculate the chi-square test statistic using the formula:

χ² = Σ [(Observed frequency - Expected frequency)² / Expected frequency]

Let's calculate the chi-square test statistic:

χ² = [(28 - 30)² / 30] + [(36 - 30)² / 30] + [(36 - 30)² / 30] + [(30 - 30)² / 30] + [(27 - 30)² / 30] + [(23 - 30)² / 30]

χ² = [(-2)² / 30] + [(6)² / 30] + [(6)² / 30] + [(0)² / 30] + [(-3)² / 30] + [(7)² / 30]

χ² = 4/30 + 36/30 + 36/30 + 0/30 + 9/30 + 49/30

χ² = 134/30

χ² ≈ 4.467

Next, we need to compare the calculated chi-square value to the critical chi-square value at a significance level of 0.01 and degrees of freedom equal to the number of outcomes minus 1 (6 - 1 = 5).

Looking up the critical chi-square value in a chi-square distribution table with 5 degrees of freedom and a significance level of 0.01, we find it to be approximately 15.086.

Since the calculated chi-square value (4.467) is less than the critical chi-square value (15.086), we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that the die is not balanced at a 0.01 level of significance.

Thus,

Based on the chi-square test, there is no significant evidence to suggest that the die is not balanced.

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Using the mid-point concept, the set of points that has midpoint B(-41,23) is: G(10,10) and H(-92,36).

The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.

In this problem, we have that:

Hence the coordinates of H are found as follows:

\(-41 = \frac{10 + x}{2}\)

10 + x = -82.

x = -92.

\(23 = \frac{10 + y}{2}\)

10 + y = 46.

y = 46.

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Answer:

\(Area = 129.5m^2\)

\(Perimeter = 48m\)

Step-by-step explanation:

Given

See attachment

Required

Determine the area and the perimeter of the garden

Calculating Area

First, we calculate the \(area\ of\ the\ rectangle\)

\(A_1 = L * B\)

Where:

\(L = 20-(3.5 +3.5)\)

\(B = 7\)

So:

\(A_1 = (20 - (3.5 + 3.5)) * 7\)

\(A_1 = (20 - 7) * 7\)

\(A_1 = 13 * 7\)

\(A_1 = 91\)

Next, we calculate the area of the two semi-circles.

Two semi-circles = One Circle

So:

\(A_2 = \pi r^2\)

Where

\(r = \frac{7}{2}\)

\(A_2 = \frac{22}{7} * (\frac{7}{2})^2\)

\(A_2 = \frac{22}{7} * \frac{49}{4}\)

\(A_2 = \frac{22}{1} * \frac{7}{4}\)

\(A_2 = \frac{22*7}{4}\)

\(A_2 = \frac{154}{4}\)

\(A_2 = 38.5\)

Area of the garden is

\(Area = A_1 + A_2\)

\(Area = 91 + 38.5\)

\(Area = 129.5m^2\)

Calculating Perimeter

First, we calculate the perimeter of the rectangle

But in this case, we only consider the length because the widths have been covered by the semicircles

\(P_1 = 2 * L\)

Where:

\(L = 20-(3.5 +3.5)\)

So:

\(P_1 =2 * (20-(3.5 +3.5))\)

\(P_1 =2 * (20-7)\)

\(P_1 =2 * 13\)

\(P_1 =26\)

Next, we calculate the perimeter of the two semi-circles.

Two semi-circles = One Circle

So:

\(P_2 = 2\pi r\)

Where

\(r = \frac{7}{2}\)

\(P_2 = 2 * \frac{22}{7} * \frac{7}{2}\)

\(P_2 = \frac{2 * 22 * 7}{7 * 2}\)

\(P_2 = \frac{308}{14}\)

\(P_2 = 22\)

Perimeter of the garden is

\(Perimeter = P_1 + P_2\)

\(Perimeter = 26 + 22\)

\(Perimeter = 48m\)

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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Answer:

-4, -8, -16, -32, -64, -128, -256

the seventh term in the sequence is -256.

Step-by-step explanation:

Each term in the sequence is obtained by multiplying the previous term by 2.

Answer:

25,000,000

Step-by-step explanation:

5*5=25 and add the 6 zeros

please give thanks :)

Answer:

well for me

Step-by-step explanation:

I think

=25000000

\(Answer:\large\boxed{y=\frac{2}{3} x+6}\)

Step-by-step explanation:

First let's convert 2x - 3y = 12 into \(y = mx + b\)  form.

In order to do this, solve for y.

\(2x-3y=12\)

\(-3y=-2x+12\)

\(y=\frac{2}{3} x-4\)

This shows us that the slope is   \(\boxed{\frac{2}{3}}\)

Now we use the point-slope formula:

\((y-y1)=m(x-x1)\)

where m is the slope and y1 and x1 are the point the line passes through

Using the point (-6,2) and slope, 2/3, we can find the equation:

\((y-2)=\frac{2}{3} (x-(-6))\)

\((y-2)=\frac{2}{3} (x+6)\)

\((y-2)=\frac{2}{3} x+4\)

\(\large\boxed{y=\frac{2}{3} x+6}\)

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

When you write your measurement as the mean ± standard deviation, it means that you are displaying how far the data is spread out from the mean value. In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. When you add the standard deviation to the mean and also subtract the standard deviation from the mean, you get the upper and lower bounds of the range that contains about 68% of the data. This range is called one standard deviation.The value of the standard deviation indicates how much the data varies around the mean. If the standard deviation is high, then the data is widely spread out and vice versa. Additionally, when you write a measurement as the mean ± standard deviation, it is assumed that the data is normally distributed. A normal distribution is one that is symmetrical and bell-shaped, where most of the data lies near the mean value.

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Answer:

26p of clay.

Hope this helped

Answer:

151

Step-by-step explanation:

First, you find the radius which is 8/2. Next, you square the radius which is 16. Now you multiply 16 by pi which is 50.26548246. Now you do 9 divided by 3 which is 3. Then you multiply 50.26548246 by 3 to get 150.7964474 or 151

Answer:

46

add all the number together and divide by how many there is

Answer:

X = 18.

Step-by-step explanation:

The median = 11 so the mean is also 11 (given).

So mean  = 11 = (7 + 8 + 11 + 11 + X) / 5

(37 + x)/ 5 = 11

x + 37 = 55

x = 55 - 37 = 18.

Answer:57/100

Step-by-step explanation:

First, convert 3/10 into hundreths to get a denominator equal to the other:

3/10 km = 30/100km

Add the numerators: 27+30=57

Place numerator over common denominator: 57/100

a) The greatest test score is 96.

c) 75% percent of the scores were between 71 and 96

a) The greatest test score is 96.

b) The number that arranges all numbers from large to small in the middle is called the median, and Some numbers. may have more than one of the same the numbers, so the median is not in the middle of the box.

C. 75% ( the upper limit of the box is the upper quartile and the lower quartile is the lower quartile)

d)  Half of the scores were higher than the median. From the box plot, we can see that the median is approximately 84, so half of the scores were higher than 84.

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Answer:

area = 232.5

perimeter=71.243

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

Anything after x determines if it goes up since it's a positive 5 it's 5 units up

Quincy would make a total of 451 glasses for the next year. In total for both years, he would make 914 glasses.

There are three types of progressions in mathematics. As follows: 1. The AP (Arithmetic Progression) Geometric Progression (GP) 2. 3. Harmonic Progression It is feasible to find a formula for the nth term for a specific kind of sequence called a progression.

Let's break down the given information:

- For today, Quincy made 12 glasses.

- For this week, he made a total of 82 glasses, which means he made 82 - 12 = 70 glasses for the rest of the week.

- For the next week, he made a total of 100 glasses, which means he made 100 - 82 = 18 glasses for the first part of the week.

- For the entire year, he made 463 glasses, which means he made 463 - 100 = 363 glasses for the rest of the year.

If we assume that Quincy keeps the same pattern for the next year, he would make:

- 70 glasses for the remaining days of the first week of the next year.

- 18 glasses for the first days of the second week of the next year.

- 363 glasses for the remaining weeks of the next year.

Therefore, Quincy would make a total of 70 + 18 + 363 = 451 glasses for the next year. In total for both years, he would make 463 + 451 = 914 glasses.

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The tree diagram illustrates the probabilities associated with different combinations of weather patterns and seasons of the year. The tree diagram is a visual representation that presents the probabilities of various outcomes resulting from the combination of weather patterns and seasons of the year.

It is a useful tool for understanding the likelihood of specific events occurring based on different factors.

The diagram is structured hierarchically, with the weather patterns forming the first level and the seasons of the year forming the second level. Each branch represents a specific combination, and the probability associated with that combination is indicated on the branch.

By analyzing the diagram, one can observe how the probabilities change depending on the weather patterns and seasons. For instance, certain weather patterns may be more prevalent during specific seasons, resulting in higher probabilities for certain combinations.

Overall, the tree diagram serves as a visual aid to comprehend the probabilities associated with simple events combining weather patterns and seasons of the year, enabling a better understanding of the likelihood of different outcomes based on these factors.

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The annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 1,006,000 bottles.

According to the given linear trend equation F1 = 80 + 151, the constant term 80 represents the initial annual sales at the start of the trend. The coefficient of the independent variable t, which represents the number of years, is 151.

To determine whether the annual sales are increasing or decreasing, we look at the coefficient of t. Since the coefficient is positive (151), it indicates that the annual sales are increasing over time. The coefficient tells us that for every year that passes, the annual sales increase by 151,000 bottles. Therefore, the annual sales are experiencing positive growth.

To predict the annual sales for year 6, we substitute t = 6 into the equation. Plugging in the value, we have F6 = 80 + (151 * 6) = 80 + 906 = 986. Therefore, the predicted annual sales for year 6 is 986,000 bottles.

In conclusion, the annual sales of the Hand & Foot Cream are increasing by 151,000 bottles per year. Based on the linear trend equation, the predicted annual sales for year 6 is 986,000 bottles. This indicates that the product's popularity and demand are growing steadily.

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Answer:

52%

There were 50 Students surveyed

12 girls preferred to work at the senior center

14 boys preferred to work at the senior center

12 + 14 = 26 students prefer to work at the senior center

26 students out of 50 students= 26/50

26/50= 52%

Step-by-step explanation:

Answer:

f(1) = 0

Step-by-step explanation:

If you set x - 1 equal to 0 and solve, you get x = 1 when y is 0

Answer: x+1 plus the fator

Step-by-step explanation:

Answer:

2.208 kg

Step-by-step explanation:

Total mass of glass marble

= 18.5×48

= 888 g

Total mass of steel marble

= 66×20

= 1320 g

Total mass of 68 marble including steel 20 and glass 48

= 888 + 1320

= 2208 g

In kilograms 2208

= 2.208 kg

Please mark as brainliest answer

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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The Slope of  given graph is -2.

The slope of a line indicates how steep it is. Slope is theoretically calculated as "rise over run" (change in y divided by change in x).

1. Locating Slope using a graph

2. Choose two random spots on the line's graph (preferably with integer coordinates).

3. Identify them as A and B. (in any order).

4. The "rise" from A to B should be calculated. If necessary, while moving vertically from point A to point B.

5. Determine the "run" distance from A to B.

6. Apply the following equation: slope = rise/run.

∵ The two points on the graph chosen are A(-3,6) B (3,-6)

  Now , slope = rise / run

            slope = \(\frac{y_{2}- y_{1} }{x_{2}- x_{1} }\)

                      = \(\frac{-6-6}{3-(-3)}\)

                      = -12/ 6

                      = -2          

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