Order these numbers from least to greatest.
2.106, 1.1512, 2.1, 2.16

The probability that a random electrical engineering student is from section A is 0.6153

In a class of 126 students with civil, mechanical, and electrical engineering backgrounds, the students are divided into two sections, A and B. Section A has 50 students, including 18 civil engineers, and section B has 44 mechanical engineers. The class consists of 40 civil engineers and 60 mechanical engineers. We need to calculate the probability that a random electrical engineering student is from section A.

To calculate the probability, we need to consider the total number of electrical engineering students and the number of electrical engineering students in section A.

The total number of electrical engineering students in the class is calculated as the difference between the total number of students in the class and the sum of civil and mechanical engineers:

Total electrical engineering students = Total students - (Civil engineers + Mechanical engineers)

Total electrical engineering students = 126 - (40 + 60) = 26

The number of electrical engineering students in section A is the difference between the total number of students in section A and the number of civil engineers in section A:

Electrical engineering students in section A = Total students in section A - Civil engineers in section A - Mechanical engineers in section A

Electrical engineering students in section A = 50 - 18 - 16 = 16

To find the probability, we divide the number of electrical engineering students in section A by the total number of electrical engineering students:

Probability = Electrical engineering students in section A / Total electrical engineering students

Probability = 16 / 26 ≈ 0.615

Therefore, the probability that a random electrical engineering student is from section A is approximately 0.615 (rounded to three decimal places).

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Answer:

64 robberies

Step-by-step explanation:

45.8 is 10%

4.58 is 1%

4.58 times 4 is 18.32

45.8 plus 18.32 is 64.18 or just 64

Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:

12

Step-by-step explanation:

3+5=8

32÷8=4

3×4=12

Answer:

12

Step-by-step explanation:

3+5=8

32÷8=4

3×4=12

Answer:

1<1.35<2

Step-by-step explanation:

Answer:

1.35 is closer to 1 than 2

So the bag of nuts weighed about 1 pound.

Step-by-step explanation:

The decimal is closer to the whole number 1 when plotted on a number line, so it rounds to 1.

Answer:

-1 7/8

Step-by-step explanation:

Answer:

A. square root of 3 times 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want an inequality relating the number of 250 lb refrigerators (x) and the number of 425 lb pianos (y) a truck with a 5900 lb load limit can carry. And you want to know if 12 refrigerators and 8 pianos will overload the truck.

The weight of x refrigerators will be 250x. The weight of y pianos will be 425y. Then the restriction on the total weight is ...

  250x +425y ≤ 5900 . . . . . . the load limit of the truck

The weight of 12 refrigerators and 8 pianos will be ...

  250·12 +425·8 = 3000 +3400 = 6400 . . . . pounds

This weight will overload the truck.

__

Additional comment

The graph shows the point (12, 8) is not in the solution space of the inequality. Hence the truck will be overloaded with that load.

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Answer:

72 degrees

Step-by-step explanation:

A pentagon has five lines of symmetry. For rotation symmetry, the order of any regular polygon is the number of sides. The angle of rotation would be 360 degrees divided by that order. Therefore, the answer is 72 degrees.

The amount of tape left on the roll is 70.73 yards

A word problem in math is a math question written as one sentence or more. This statements are interpreted into mathematical equation or expression.

For example, if there are 60 students Ina school and 24 are boys the number of girls in the school is calculated as;

60 - 24 = 36

Similarly, there are 77.33 yards of tape ona roll, Ryan uses 6.6 yards, the amount of yards of tape left is calculated as;

77.33 - 6.6

= 70.73 yards

Therefore there are 70.73 yards of tape left on the roll

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Answer:

16 it's answer

Step-by-step explanation:

√121 + ³√125

11+5

16

Organizational skills encompass various abilities and practices that contribute to effectively managing tasks, projects, and responsibilities within an organization.

One aspect of organizational skills involves establishing clearly defined goals. This entails identifying the desired outcomes or objectives that need to be achieved. Clear goals provide a sense of direction and purpose.

Another important aspect is identifying the steps required to reach those goals. Breaking down larger goals into smaller, manageable tasks helps in organizing and prioritizing work. This involves creating action plans and setting milestones to track progress.

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using trigonometric ratios, following is the proof.

You can determine trigonometric ratios by either utilizing the provided acute angle or by figuring out the ratios of the right-angled triangle's sides. The formula for trigonometric ratios is sin = Perpendicular/Hypotenuse. base/hypotenuse = cos.

Its given that

θ = 48 , b = 10

Cos θ = b/c

Cos 48 = 10/c    Equation (A)

Sec 48 = c/b

sec 48 c/10  Equation (B)

Equation (A) × Equation (B)

Cos 48 × Sec 48

10/c × c/10

1 =1

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Answer:

The 95% confidence interval = (98.225, 98.655)

Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × standard deviation/√n

Where Mean = 98.44°F

Standard deviation = 0.30°F

n = number of samples is 10

Because our number if samples is small, we use the t score confidence interval formula

Mean ± t × standard deviation/√n

Degrees of Freedom = n - 1

= 10 - 1 = 9

We find the t score of 95% confidence interval and degrees of freedom 9

= 2.262

Hence,

Confidence interval = 98.44 ± 2.262 × 0.30/√10

= 98.44 ± 0.214592162

Confidence Interval

98.44 - 0.214592162

= 98.225407838

≈ 98.225

98.44 + 0.214592162

= 98.654592162

≈ 98.655

The 95% confidence interval = (98.225, 98.655)

The 95%  confidence interval for the mean of all body temperatures  is [98.2255, 98.6545] (in degree Fahrenheit)

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

Then, we get the confidence interval in between the limits

\(\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}\)

where \(t_{\alpha/2}\) is the critical value of 't' that can be found online or from tabulated values of critical value for specific level of significance and degree of freedom = n - 1

For this case, we have:

The degree of freedom(d.f.) is n-1 = 10-1=9

At d.f. 9, at level of significance 0.05, the critical value of t is \(t_{\alpha/2} = 2.262\)

Thus, the limits of the confidence interval is calculated as;
\(\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}} = 98.44 \pm 2.262 \times \dfrac{0.3}{\sqrt{10}} = 98.44 \pm 0.2145\)

This shows that the confidence interval is [98.44 - 0.2145, 98.44 + 0.2145] which is [98.2255, 98.6545] (in degree Fahrenheit)

Thus, the 95%  confidence interval for the mean of all body temperatures  is [98.2255, 98.6545] (in degree Fahrenheit)

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Each tile has a surface area of 1 × 1 = 1 square foot since each tile is 1 foot long. As a result, the total mosaic's area is 49 x 1, or 49 square feet.

The overall area that a three-dimensional object's surface occupies is known as surface area. Square units like square inches, square meters, and square feet are used to convey it. By adding up the areas of all the object's faces or surfaces, surface area is determined. By summing the areas of the cube's six faces, for instance, it is possible to get the surface area of a cube.

given

There are 7 rows and 7 tiles in the mosaic, making a total of 7 x 7 = 49 tiles in the mosaic.

Each tile has a surface area of 1 × 1 = 1 square foot since each tile is 1 foot long.

As a result, the total mosaic's area is 49 x 1, or 49 square feet.

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The complete question is:-   Mark's window store made a mosaic for the community center. The mosaic had a 7 x 7 array of different color square tiles. If each tile is 1ft long, what is the area of the whole mosaic?

Answer:

7234.6 cm^3

Step-by-step explanation:

volume of the bowling ball

=4/3 x π x r^3 cm^3

=4/3 x 3.14 x (24/2)^3 cm^3

=7234.6 cm^3 (round to the nearest tenth)

Answer:

\(\Huge \boxed{3+16i}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(3+\sqrt{-16} * 6-\sqrt{-64}\)

Using imaginary number rule : \(\sqrt{-n} =\sqrt{n} *i\)

Where \(n\) is a positive integer.

\(3+\sqrt{16} *i* 6-\sqrt{64}*i\)

\(3+4i* 6-8i\)

Multiplying.

\(3+24i-8i\)

Combining like terms.

\(3+16i\)

\(\rule[225]{225}{2}\)

Answer:

3 + 16i

Step-by-step explanation:

3 + √-16 * 6 - √-64

= √-16 * 6 = 24i;    √-16 * 6;     √-16 = 4i

= 4 * 6i    multiply the numbers 4 * 6 = 24

= 24 i

√-64 = 8i;   √64    apply a radical rule

= √-1 √64

= √64  i;    √64 = 8

= 8i

= 3 + 24i - 8i

= 3 + 16i

To determine the number of significant discriminant functions and their relative discriminating power in a dataset, a discriminant analysis needs to be performed. Discriminant analysis is a statistical technique used to classify objects or individuals into different groups based on a set of predictor variables.

The number of significant discriminant functions is equal to the number of distinct groups or classes in the dataset minus one. Each discriminant function represents a linear combination of the predictor variables that maximally separates the groups or classes.

The relative discriminating power of each discriminant function can be assessed by examining the Wilks' lambda value or the eigenvalues associated with each function. Wilks' lambda represents the proportion of total variance unexplained by each discriminant function. Smaller values of Wilks' lambda indicate higher discriminating power.

To determine the exact number of significant discriminant functions and their relative discriminating power in a specific dataset, the discriminant analysis needs to be performed using statistical software or tools specifically designed for this analysis.

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Answer:

D. 3,461

Step-by-step explanation:

There are 3520 yards in two miles and 3,461 yards is less than 3,520... meaning that he lives closer to the school.

3,461 < 3,520

Group auditors are responsible for auditing the consolidated financial statements of a group of companies, while component auditors examine the financial statements of individual divisions, subsidiaries, or segments within the group.

Group auditors are appointed to audit the consolidated financial statements of a group of companies. These statements present the financial position, performance, and cash flows of the entire group as a whole. Group auditors are responsible for providing an opinion on the fairness and accuracy of these consolidated financial statements, considering the financial information of all the subsidiaries, divisions, and segments that make up the group.

Component auditors, on the other hand, are engaged to audit the financial statements of specific divisions, subsidiaries, or segments within the group. They examine the financial information and transactions pertaining to these specific components and provide their opinion on their individual financial statements.

When component auditors examine a division, subsidiary, or segment of group financial statements, several issues may arise. These include consistency in accounting policies and practices across different components, intercompany transactions and eliminations, consolidation adjustments, and communication and coordination between the group auditors and component auditors. Ensuring that the component auditors adhere to the same auditing standards, use consistent accounting policies, and provide accurate and reliable information is crucial for the group auditors to effectively consolidate the financial statements and present a true and fair view of the group's financial position and performance. Proper coordination and communication between the group auditors and component auditors are essential to address these issues and ensure the integrity and reliability of the consolidated financial statements.

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The correct null and alternative hypotheses for this question. The null hypothesis is always the opposite of the alternative hypothesis.

H0: μ ≥ 3 (the mean forecast GDP of all economists is greater than or equal to 3%)
HA: μ < 3 (the mean forecast GDP of all economists is less than 3%)
This is because the question asks if the mean forecast GDP is less than 3%, which is the alternative hypothesis. The null hypothesis is always the opposite of the alternative hypothesis.

Based on the average predictions of 45 economists, the U.S. gross domestic product (GDP) will expand by 2.7% this year, and the sample standard deviation is 1%. To test if the mean forecast GDP of all economists is less than 3% at a 10% significance level, follow these steps:

1. Identify the null hypothesis (H0) and alternative hypothesis (HA). In this case, the null hypothesis is that the mean GDP growth is equal to or greater than 3%, while the alternative hypothesis is that the mean GDP growth is less than 3%. So, the correct choice is:
  H0: μ ≥ 3; HA: μ < 3 (Option c)
2. Calculate the t-test statistic:
  t = (sample mean - hypothesized mean) / (sample standard deviation / √n)
  t = (2.7 - 3) / (1 / √45)
  t = -0.3 / 0.149
  t ≈ -2.01
3. Determine the critical t-value at the 10% significance level using a t-table. With 44 degrees of freedom (n-1), the critical t-value for a one-tailed test at the 10% significance level is approximately -1.30.
4. Compare the t-test statistic with the critical t-value:
  Since -2.01 < -1.30, the t-test statistic falls in the rejection region.
5. Conclusion:
  Reject the null hypothesis (H0: μ ≥ 3) and accept the alternative hypothesis (HA: μ < 3). There is sufficient evidence at the 10% significance level to conclude that the mean forecast GDP of all economists is less than 3%.
Your answer: Option c. H0: μ ≥ 3; HA: μ < 3

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Answer:

3 7/10

Step-by-step explanation:

Hope this helps and good luck!

Answer: \(3\frac{7}{10}\) or \(\frac{37}{10}\)

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Follow these steps I made for you.

Step 1: Convert \(8\frac{4}{5}\) to an improper fraction. Use this rule: \(a\frac{b}{c} = \frac{ac + b}{c}\).

\(\frac{8 * 5 + 4}{5} - 5\frac{1}{10}\)

Step 2: Simplify 8 × 5 to 40.

\(\frac{40 + 4}{5} - 5\frac{1}{10}\)

Step 3: Simplify 40 + 4 to 44.

\(\frac{44}{5} - 5\frac{1}{10}\)

Step 4: Convert \(5\frac{1}{10}\) to an improper fraction. Use this rule \(a\frac{b}{c} = \frac{ac + b}{c}\).

\(\frac{44}{5} - \frac{50 * 10 + 1}{10}\)

Step 5: Simplify 5 × 10 to 50.

\(\frac{44}{5} - \frac{50 + 1}{10}\)

Step 6: Simplify 50 + 1 to 51.

\(\frac{44}{5} - \frac{51}{10}\)

Step 7: Find the Least Common Denominator (LCD) of \(\frac{44}{5}, \frac{51}{10}\). In other words, find the Least Common Multiple (LCM) of 5, 10.

LCD = 10

Step 8: Make the denominators the same as the LCD.

\(\frac{44 * 2}{5 * 2} - \frac{51}{10}\)

Step 9: Simplify. Denominators are now the same.

\(\frac{88}{10} - \frac{51}{10}\)

Step 10: Join the denominators.

\(\frac{88- 51}{10}\)

Step 11: Simplify.

\(\frac{37}{10}\)

Step 12: Convert to a mixed fraction.

\(3\frac{7}{10}\)

~I hope I helped you! :)~

Answer:

d)Divide both sides of the equation by 5.

Step-by-step explanation:

Marshall is writing an equivalent equation to solve for x. What should be his next step?

5x+4y=8

5x+4y-4y=8-4y

5x=8-4y

a)Add 5x to both sides of the equation.

b)Subtract 5x from both sides of the equation.

c)Multiply both sides of the equation by 5.

d)Divide both sides of the equation by 5.

5x + 4y = 8

Subtract 4y from both sides

5x + 4y - 4y = 8 - 4y

5x = 8- 4y

Divide both sides by 5

5x / 5 = (8 - 4y) / 5

x = (8 - 4y) / 5

Marshall's next step should be to divide both sides of the equation by 5

Answer: D)Divide both sides of the equation by 5.

Step-by-step explanation:

got it right edge 2021

Answer:

36 ounces or if over 150 lbs drink more water than 36 ounces

Step-by-step explanation:

For every pound of sweat you lose you need to drink 16 ounces of water!

The equivalent expression for \(\left(\frac{1.4^2}{1.2^4}\right)^{-6}\)is (D) \(\frac{1.2^{24}}{1.4^{12}}\).

The product of same base different exponent is given by the sum of exponents with same base.

Any power value of 1 is alsways 1.

Given that the expression is

\(\left(\frac{1.4^2}{1.2^4}\right)^{-6}=\frac{1^{-6}.4^{-12}}{1^{-6}.2^{-24}}=\frac{1.2^{24}}{1.4^{12}}\)

Hence the correct option is (D).

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Answer:

15x+(-10)y

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you distribute the 5 it means you multiply it to everything inside the parentheses, so it'll be...

\(5*3x=15x\\5*-2y=-10y\\\)

so [15]x+[-10]y

Answer:

97.5

Step-by-step explanation:

Supplementary means the angles add up to 180°

So,

m∠A = 180 - m∠B

m∠A = 180 - 82.5

m∠A = 97.5

The answer is B

Eplanation:

V = pi * r² * (h/3)

Then from here you just make h the subject of the formula:

h = (V * 3)/(pi * r²)

h = (393*3)/[3.14* (10/2)²]

h = 15.01910828 ft

which is rounded to 15 ft...B

:)