The diameter of a circle is ____
the length of its radius.​

Step-by-step explanation:

4x³ = 36x

4x³ - 36x = 0

4x(x² - 9) = 0

4x(x + 3)(x - 3) = 0

Hence x = 0, x = -3 or x = 3.

a) The null hypothesis (H0): The population mean completion time under new management is equal to or greater than 14.4 minutes. The alternative hypothesis (Ha): The population mean completion time under new management is less than 14.4 minutes. b) The type of test statistic to use is a one-sample z-test, since the sample size is small and the population standard deviation is known. c) The calculated test statistic is approximately -1.632. d) The p-value is slightly greater than 0.05. e) Based on the p-value being greater than the significance level (0.05), we fail to reject the null hypothesis.

a) The null hypothesis (H0): The population mean completion time under new management is equal to or greater than 14.4 minutes.

The alternative hypothesis (Ha): The population mean completion time under new management is less than 14.4 minutes.

b) Since the sample size is small (n = 12) and the population standard deviation is known, we will use a one-sample z-test.

c) The test statistic for a one-sample z-test is calculated using the formula:

z = (\(\bar x\) - μ) / (σ / √n), where \(\bar x\) is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values from the problem:

z = (13.8 - 14.4) / (1.8 / √12) ≈ -1.632

d) To find the p-value, we will compare the test statistic to the critical value from the standard normal distribution. At a significance level of 0.05 (α = 0.05), for a one-tailed test, the critical value is -1.645 (approximate).

The p-value is the probability of obtaining a test statistic more extreme than the observed test statistic (-1.632) under the null hypothesis. Since the test statistic is slightly larger than the critical value but still within the critical region, the p-value will be slightly greater than 0.05.

e) Since the p-value (probability) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means that we do not have enough evidence to support the claim that the population mean completion time under new management is less than 14.4 minutes at the 0.05 level of significance.

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Answer:

SAS, because vertical angles are congruent.

Answer:

6

Step-by-step explanation:

3*18 is 54 and 54/9 is 6 so n=6

Answer:

CMU+the curcumin of three is Fournes

Step-by-step explanation:

Answer:

Step 1: Lets say 'x' is the total wage. Then we subtract 1/4 from the total wages.

=> 4x/4 - x/4

=> 3x/4 = Remaining Wages Left.

Step 2: Subtract 20% from 3x/4.

3x/4 - x/5 = Remaining Wages Left.                                 [20% = 20x/100 = x/5]

=> 11x/20 = Remaining Wages Left.

Step 3: Subtract 0.15x from his remaining wages left.

=> 11x/20 - 3x/20 = Remaining Wages Left.                     [0.15 = 15/100 = 3/20]

=> 8x/20 = Remaining Wages Left.

Step 4: Simplify

8x/20 = 2x/5 = 0.40x

=> Simon has saved 2x/5 of the wages.

Please give me brainliest :)

Answer:

Step-by-step explanation:

The total is 100% or 1.

Spent:

Left:

100th digit of the pi is 7

Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,

The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.

Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.

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a. To find the t-test statistic, we first need to calculate the standard error of the mean using the formula: standard deviation / square root of sample size. In this case, the standard error of the mean is 600 / square root of 50, which is approximately 84.85.

Then, we can calculate the t-test statistic using the formula: (sample mean - hypothesized population mean) / standard error of the mean. In this case, the t-test statistic is (2450 - 2600) / 84.85, which is approximately -1.77.

b. To find the P-value, we need to consult a t-distribution table or use statistical software. Using a two-tailed t-test with 49 degrees of freedom (50-1), we find that the P-value associated with a t-test statistic of -1.77 is approximately 0.084. Therefore, there is a 8.4% chance of obtaining a sample mean of $2,450 or less if the true mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year is actually $2,600.

Note: A common threshold for statistical significance is a P-value of less than 0.05. Since the P-value in this case is greater than 0.05, we cannot reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean amount of Pell grant awards received by San Jose State University Pell grant recipients this year is different from $2,600.
a. To find the t-test statistic, we will use the following formula:

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

Here, sample mean = $2,450, population mean = $2,600, sample standard deviation = $600, and sample size = 50.

t = ($2,450 - $2,600) / ($600 / sqrt(50))
t = (-$150) / ($600 / 7.071)
t = (-$150) / $84.85
t ≈ -1.77

The t-test statistic is approximately -1.77.

b. To find the P-value, we need to use a t-distribution table or software to determine the probability of obtaining a t-test statistic as extreme or more extreme than our calculated value. We are doing a two-tailed test, so we need to find the area in both tails.

Looking up the t-test statistic -1.77 in a t-distribution table with 49 degrees of freedom (sample size - 1), we find the P-value is between 0.05 and 0.10. For a more accurate P-value, use software or an online calculator.

So, the P-value is between 0.05 and 0.10.

Answer:

Test statistic

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

angle LMN+ angle LNM+ angle MLN=180^

angle LMN+60^ +60^ =180^

angle LMN=60^

overline LN sin( angle LMN) = overline LM sin( angle LMM)

16/(sin(60 degrees)) = x/(sin(60 degrees))

x = 16

The slope of the line tangent to the given function would be m= 2.

What is the slope of the function?

If the function f(x) is given then differentiation will give you the gradient or slope for the tangent at any point.

The given function is f(x) = x - sinx

Now differentiating the above function with respect to x.

                    f'(x) = 1 - cosx

Now put x = π, we get

                  Slope = 1 - cos(π)

                             = 1 - (-1)

                             = 1 + 1

                  Slope (m) = 2.

Hence, the slope of the line tangent to the given function would be m= 2.

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The measurement of the JL value is 6cm.

Given the measurement of the KM value = 6cm

The measurement of ML value = 4cm

The given figure is in the shape of a rectangle. In rectangle we know that the length and breadth is equal in both sides.

The property is in a rectangle the opposite sides which are parallel sides are equal. [the measurements of both sides are the same]

By using the above condition,

The measurement of JL value which is parallel to the KM value is also 6cm.

So, from the above analysis, we can conclude that the value of JL is 6cm.

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Given question is missing figure, I am attaching below,

Option B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

In Act 2 of A Raisin in the Sun, George Murchison's arrival changes the mood of the scene as he complains that Beneatha is giving them a lecture on their African past. George's comments create tension and conflict among the characters, particularly with Beneatha, who is exploring her African heritage. His attitude towards Beneatha's interest in her roots is dismissive and condescending, which generates discomfort and disagreement among the characters. George's arrival highlights the cultural differences between him and the Younger family and demonstrates the generational and ideological divides within the African American community. Thus, his presence is a catalyst for revealing deeper tensions and conflicts within the play.

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Complete question:

How does the arrival of George Murchison change the mood of the scene?

A) George's arrival changes the mood because he doesn't take part in the dance

B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past

C) George's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their house

D) George's arrival changes the mood because he had a gun

The volume of the topographic globe is approximately 113097.6 cm³.

The volume of a sphere can be calculated using the formula V = (4/3)πr³, where V is the volume and r is the radius of the sphere.

In this case, the topographic globe has a radius of 30 cm. Substituting this value into the formula, we have:

V = (4/3)π(30)³.

Simplifying the expression inside the parentheses:

V = (4/3)π(27000).

Now, we can calculate the volume by multiplying the constant (4/3)π with 27000:

V ≈ (4/3)π(27000) ≈ (1.333)(3.14)(27000) ≈ 113097.6 cm³.

Rounding to the nearest tenth, the volume of the topographic globe is approximately 113097.6 cm³.

Therefore, the volume of the topographic globe is approximately 113097.6 cm³.

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Answer:

See below

Step-by-step explanation:

Parent function:

Transformed function:

Transformations to be applied:

The possibilities to complete a 5-row garden, Brad would need 40 columns.

To determine the number of columns needed for a 5-row garden, we can use the concept of proportional reasoning. We know that the number of rows and columns must be in proportion to maintain a grid-like pattern.

Given that 8 rows require 25 columns and 10 rows require 20 columns, we can set up a proportion to find the number of columns needed for 5 rows:

8 rows / 25 columns = 5 rows / x columns

Cross-multiplying, we get:

8x = 25 * 5

8x = 125

Dividing both sides by 8:

x = 125 / 8

x ≈ 15.625

Since we are dealing with whole numbers of columns, we round up to the nearest whole number. Therefore, to complete a 5-row garden, Brad would need 16 columns.

To complete a 5-row garden, Brad would need 40 columns.

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Answer:

Step-by-step explanation:

P = -15000g² + 34,500g - 16800

use quadratic formula to find the 2 solutions for g when P = 0

(a=-15,000, b=34500, c=-16800)

g= 0.7, g=1.6

1)  company invested $16,800

2)  price that yields max. p = (0.7 + 1.6)/2 = $1.15

3)  max. P = -15,000(1.15)² + 34,500(1.15) - 16,800 = $3037.50

4)  lowest price to break even = $0.70

The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

The surface area is about 793.7 square feet. the surface area of the cylinder. To do this, we will use the following formula:

Surface area of a cylinder = 2πr(h + r)

where:
- r is the radius of the base of the cylinder
- h is the height of the cylinder
- π (pi) is a mathematical constant approximately equal to 3.14159

In your question, you've provided the dimensions:
- Radius (r) = 6 ft
- Height (h) = 15 ft

Now let's calculate the surface area using the formula:

Surface area = 2 × π × 6 × (15 + 6)
Surface area = 2 × 3.14159 × 6 × 21
Surface area ≈ 793.716

To round your answer to the nearest tenth, the surface area is about 793.7 square feet.

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the surface area of the cylinder is approximately 794.8 square feet, rounded to the nearest tenth.

The surface area of a cylinder is calculated using the formula SA = 2πr^2 + 2πrh, where r is the radius and h is the height. In this case, the radius is 6 ft and the height is 15 ft.
So, SA = 2π(6)^2 + 2π(6)(15)
SA = 452.39 square feet
Rounding to the nearest tenth, the surface area is about 452.4 square feet. To find the surface area of a cylinder, you need to consider the lateral area and the areas of the two circular bases. Use the formula Surface Area = 2πr(r + h), where r is the radius and h is the height. Given a radius of 6 ft and height of 15 ft, the surface area is about:
Surface Area = 2π(6)(6 + 15)
Surface Area = 2π(6)(21)
Surface Area ≈ 794.8 square feet
So, the surface area of the cylinder is approximately 794.8 square feet, rounded to the nearest tenth.

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Answer:

X = -7

Step-by-step explanation:

First of all we will re-arrange the equation

-6x + 4x = 8 + 6

Now simplify

-2x = 14

x = - 7

Answer:

x = - 7

Step-by-step explanation:

- 6x - 6 = - 4x + 8 ( add 4x to both sides )

- 2x - 6 = 8 ( add 6 to both sides )

- 2x = 14 ( divide both sides by - 2 )

x = - 7

Answer:

6:9:5

Step-by-step explanation:

every 30ml of orange juice

need 45ml of apple juice

&25ml of coconut milk

so 30:45:25

divide all by 5

6:9:5

Answer:

30 minutes long. .....

Step-by-step explanation:

:)

Answer:

obtuse (anything above 90* is obtuse)

Step-by-step explanation:

A rule that makes a particular cell is highlighted in yellow only if the value it contains is less than $5000 is an example of conditional formatting.

This is a special feature that can be found in programs such as excel and allows users to automatically apply specific changes or formatting to cells that meet specific criteria.

There are four main types:

In the case of the formatting described, this can be classified as conditional formatting because all cells that meet the criteria (less than $5000) will be automatically highlighted in yellow. Moreover, the type of formatting is a change in the color of the cell.

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Answer:

-5= g(a)

Step-by-step explanation:

assuming this is a typo and you meant to say g(-7).

-7 +2 = -5

One tray will hold 590.877 cubic centimeters.

Volume of a three dimensional shape is the space occupied by the shape.

We have to find the volume of a cone-shaped popsicle mold and then multiply it with 6 to find the required answer.

Volume of a cone = \(\frac{1}{3}\) π r² h

Given,

Diameter = 5.4 cm

Radius = Diameter / 2 = 5.4 / 2 = 2.7 cm

Height = 12.9 cm

Volume of the cone = \(\frac{1}{3}\) π × (2.7)² × 12.9

                                 = \(\frac{1}{3}\) π × 94.041

                                 = 98.4795

Total volume of 6 molds in the tray = 98.4795 × 6

                                                           = 590.877 cubic centimeters

Hence the volume of the molds that the tray hold is 590.877 cubic centimeters.

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The Measure of angle A is 120°, Measure of angle C = 120° and the Measure of angle D is 60°

In a parallelogram, opposite angles are congruent. Therefore, if the measure of angle A is 120°, then the measure of angle C is also 120°.

Since angle A and angle C are opposite angles, their adjacent angles are also congruent. This means that the measure of angle B is equal to the measure of angle Z.

Now, let's consider angle D. In a parallelogram, the sum of the measures of adjacent angles is always 180°. Since angle C is 120°, the adjacent angle D must be:

180° - 120°

= 60°.

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Answer:

x² - 8x

Step-by-step explanation:

The least degree polynomial with two roots has to be a quadratic polynomial.

Since the roots are 0 and 8, the factors are, (x - 0)(x - 8) = x² - 8x

Cheers

Answer:

The polynomial of least degree with roots 0 and 8 is x(x-8)=0. This can be written in standard form as x2 - 8x = 0.

Purpose of having a supplier scorecard A supplier scorecard is a tool that is used to evaluate the performance of suppliers and to monitor their progress. It helps in the assessment of how well the suppliers are meeting the needs of the buyers and it helps the buyers to decide which suppliers they should continue to work with in the future.

The purpose of having a supplier scorecard is to evaluate the suppliers' performance in terms of quality, delivery, price, and customer service, and to monitor their progress over time. The scorecard can be used to identify areas where suppliers are excelling and areas where they need to improve. Analysis of the current scorecard and concerns Emily’s concern is that the current scorecard is too simplistic and does not provide enough information to make informed decisions about suppliers. The concerns with the current scorecard are that it is too simplistic and does not provide enough information about the supplier's performance. Analysis of the proposed scorecard and its adequacy The proposed scorecard addresses Emily's concerns by providing more detailed information about the supplier's performance in specific areas.

It also includes more metrics for evaluating the supplier's performance. Differences between the current scorecard and the proposed scorecard The proposed scorecard is more detailed and includes more metrics than the current scorecard. It provides more information about the supplier's performance in specific areas. How suppliers will react to the proposed scorecard and the dynamics of the buyer-supplier relationship Suppliers may react negatively to the proposed scorecard if they feel that it is too strict or unfair. The scorecard may change the dynamics of the buyer-supplier relationship by putting more pressure on suppliers to meet certain standards. Potential options, recommendations, and actionSome potential options and recommendations for improving the scorecard include adding more metrics, providing more detailed feedback to suppliers, and revising the scoring system to make it more accurate and fair.

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