Can someone help with this please?

The probability that engineer jane or manager Mary is on the committee is 0.5157.

Given a committee to be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers, what is the probability that engineer jane or manager Mary is on the committee?

We have to calculate the probability that engineer Jane or manager Mary is on the committee. We will use the principle of inclusion and exclusion to solve this problem. The number of managers that can be selected from 11 managers is

11C4 = 330

The number of engineers that can be selected from 16 engineers is

16C4 = 1820

The total number of ways in which the committee can be formed is

330 * 1820 = 599400

Jane is one of 16 engineers. The number of committees that Jane can be a member of is given by:

15C3 * 11C4 = 1365 * 330 = 450450

Mary is one of 11 managers. The number of committees that Mary can be a member of is given by:

10C4 * 16C4 = 1820 * 210 = 382200

The number of committees that contain both Jane and Mary is given by:

10C3 * 15C3 = 120 * 455 = 54600

Therefore, the probability that either Jane or Mary is on the committee is given by:

P(Jane or Mary) = P(Jane) + P(Mary) - P(Jane and Mary)P(Jane or Mary)

= 450450/599400 + 382200/599400 - 54600/599400P(Jane or Mary)

= 0.5157 (rounded to four decimal places)

Therefore, the probability that engineer jane or manager Mary is on the committee is 0.5157.

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Answer:7.84 X 10-3 m2

Step-by-step explanation:

A researcher received 9 shipments of 3.49 x 1010 cells to go along with the 1.2 x 109 cells she had already received. How many total cells has she received? A. 4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011

4.57 x 1010 B. 3.129 x 1011 C. 3.153 x 1011 D. 3.29 x 1011

=7.84 X 10-3 m2

Let 'h' represent the number of hours that Charles will work. Since he wants to work for at least six hours, then we have the following inequality:

but he also must work fewer than 16 hours this week, then the next inequality is:

then, combining the inequalities, we have:

8400000cm

84 kilometer is 8400000 centimeter.

Here given 84 km ,

We know that 1 km = 1000 meter

               so 84 km  = 84 x 1000 meter

                                 = 84000 meter

 and 1 meter = 100 cm

 so here 84000 meter = 84000 x 100 cm

                                       = 8,400,000 Centimeters

∴ 84 km = 8400000cm

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Answer:

26

Step-by-step explanation:

76° + (2x)° = (5x - 2)°

76 + 2x = 5x - 2

76 + 2 = 5x - 2x

78 = 3x

26 = x

x = 26

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Answer:

A'(-9,-3)

Step-by-step explanation:

-3*3=-9

-1*3=-3

Answer:

a, b, d, e

Step-by-step explanation:

negatives obviously and any decimal not close to 1

The interpretation that the likelihood that the first question will be true is (a) Likely

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

How to interpret the likelihood that the first question will be true.

From the question, we have the following parameters that can be used in our computation: Probability value

The value of the probability and the notation is given as :-

P(true) = 0.7

As a general rule of probability, we have

Range of probability value = 0 to 1 (inclusive)

Unlikely = less than 0.5

Equally likely and unlikely = 0.5

Likely = greater than 0.5

Using the above as a guide, we have the following:

The value of P(true) = 0.8=7 is greater than 0.5

Hence, This that the probability is likely.

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The new length of the rectangle is approximately 2.29 units. We use the formula for the area of a rectangle to solve for the new length, given the new width.

If the width and length of a rectangle are 3 and 8, respectively, and the width is increased to 10.5, we can calculate the new length of the rectangle using the formula for the area of a rectangle, which is length multiplied by width.

The original area of the rectangle is 3 x 8 = 24 square units. If we increase the width to 10.5, the new area of the rectangle becomes: 10.5 x length = 24 Solving for the length, we get: length = 24/10.5 = 2.29 (rounded to two decimal places)

It's important to note that changing one dimension of a rectangle can affect the other dimension, especially if we want to maintain the same area.

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Answer:

24f + 12g - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

4(6f + 3g - 1)

Step 2: Expand

Answer:

7+3x=-11 and X= 1

7+3(-1)=-11

4=-11

Step-by-step explanation: I think this is it sorry if I’m wrong

Answer:

-f(x)=23+3x

-The cost of buying 10 CDs will be $38.

Step-by-step explanation:

From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:

f(x)=23+3x, where:

x represents the number of CDs over 5

Using this function you can determine the cost of buying 10 CDs:

x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:

10-5= 5

Now, you can replace the value of x:

f(x)=23+(3*5)

f(x)=23+15=38

According to this, the cost of buying 10 CDs will be $38.

Answer:

1) D. \(6\sqrt{120}\), 2) C. \(2\sqrt{56}q^{2}\), 3) C. \(\frac{4\sqrt{11}}{11}\)

Step-by-step explanation:

1) We proceed to simplify the expression given in statement:

(i) \(2\sqrt{10}\cdot 3\sqrt{12}\) Given

(ii) \((3\cdot 2)\cdot (\sqrt{10}\cdot \sqrt{12})\) Commutative and associative properties

(iii) \((3\cdot 2)\cdot (10^{0.5}\cdot 12^{0.5})\) Definition of square root.

(iv) \(6\cdot (10\cdot 12)^{0.5}\) Definition of multiplication/\(a^{c}\cdot b^{c} = (a\cdot b)^{c}\)

(v) \(6\sqrt{120}\) Definition of multiplication/Definition of square root/Result

Answer: D

2) We proceed to simplify the expression given in statement:

(i) \(\sqrt{14}q \cdot 2\sqrt{4}q\) Given

(ii) \(2\cdot (\sqrt{14}\cdot \sqrt{4})\cdot (q\cdot q)\) Commutative and associative properties

(iii) \(2\cdot (14^{0.5}\cdot 4^{0.5})\cdot q^{2}\) Definition of square root/Definition of power.

(iv) \(2\cdot (14\cdot 4)^{0.5}\cdot q^{2}\)    \(a^{c}\cdot b^{c} = (a\cdot b)^{c}\)

(v) \(2\sqrt{56}q^{2}\) Definition of multiplication/Definition of square root/Result

Answer: C

3) We proceed to simplify the expression given in statement:

(i) \(\frac{4}{\sqrt{11}}\) Given

(ii) \(\frac{4}{\sqrt{11}}\cdot \frac{\sqrt{11}}{\sqrt{11}}\) Modulative property/Existence of multiplicative inverse.

(iii) \(\frac{4\sqrt{11}}{\sqrt{11}\cdot \sqrt{11}}\)  \(\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}\)

(iv) \(\frac{4\sqrt{11}}{11^{0.5}\cdot 11^{0.5}}\) Definition of square root.

(v) \(\frac{4\sqrt{11}}{11}\) \(a^m\cdot a^{n} = a^{m+n}\)/Result

Answer: C

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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A subset of a population used by statisticians to make predictions about a population is called a sample.

a sample is a smaller, representative group selected from the larger population. The sample is used to gather data and make inferences about the entire population. By analyzing the sample, statisticians can make predictions about the characteristics, trends, or behaviors of the population without having to study every individual within it. This method saves time, resources, and effort while still providing accurate results.

A sample is a crucial tool in statistical analysis, allowing statisticians to make informed predictions about a population based on the study of a smaller, representative subset.

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TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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So, the probability that a random sample of 60 college football players results in a sample mean of 48 or fewer strong blows is approximately 0.8336.

To solve this problem, we will use the concept of the sampling distribution of the sample mean and the z-score.

1. First, we need to calculate the standard deviation of the sampling distribution, also known as the standard error of the mean (SE). The formula for SE is: SE = σ / √n, where σ is the standard deviation of the population (16 in this case) and n is the sample size (60 in this case). Therefore, SE = 16 / √60 ≈ 2.07.

2. Next, we calculate the z-score using the formula: z = (x - μ) / SE, where x is the sample mean (48 in this case) and μ is the population mean (50 in this case). Therefore, z = (48 - 50) / 2.07 ≈ -0.97.

3. Now, we need to find the probability of obtaining a sample mean of 48 or fewer strong blows. To find this, we look up the z-score in the standard normal distribution table (also known as the z-table). The area to the left of -0.97 in the z-table is approximately 0.1664.

4. Finally, to find the probability, we subtract this area from 1, since we want the probability of the sample mean being 48 or fewer blows. Therefore, the probability is approximately 1 - 0.1664 ≈ 0.8336.

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Variables:

x: hawk fans

y: cyclone fans

The basketball game had 600 people in attendance means:

x + y = 600

The ratio of hawk fans to cyclone fans is 2:10 means

Substituting the last equation into the first equation, we get:

x + 5x = 600

6x = 600

x = 600/6

x = 100

And the value of y is:

y = 5*100

y = 500

There were 500 - 100 = 400 more cyclone fans

Answer:

15/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(35-5)/(14-6)

m=30/8

simplify

m=15/4

Answer:

Step-by-step explanation:

Slope is defined as

m=(y2-y1)/(x2-x1), we have points (6,5) and (14,35) so

m=(35-5)/(14-6)

m=30/8

m=3.75

Answer:

81m2

Step-by-step explanation:

Answer:

81 m2

Step-by-step explanation:

took test :)

The correct process for solving the equation 4(x − 8) = 24 and arriving at the correct solution is to distribute the 4, add 8 to both sides of the equation, and then divide both sides of the equation by 4. The solution is x = 8. The correct answer is D.

In the given equation, we have 4(x − 8) = 24. To solve this equation, we first distribute the 4 to the terms inside the parentheses: 4x − 32 = 24. Next, we add 32 to both sides of the equation to isolate the variable term: 4x = 56. Finally, we divide both sides of the equation by 4 to solve for x: x = 14.

From the answer choices provided, it is clear that option D describes the correct process. It correctly states to distribute the 4, add 8 to both sides of the equation (in this case, it should be 32), and then divide both sides of the equation by 4. The resulting solution is x = 8. Therefore, option D is the correct choice.

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Answer:

(5,34)

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

It is a rational number because any number that can be rewritten as a simple fraction is a rational number. This means that natural/counting numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers such as 1 ½.

Answer:

D.

Step-by-step explanation:

the alternating interior angles of two parallel lines are equal

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

Option B

Step-by-step explanation:

For increasing function in the interval (a, b),

"If we draw a tangent at any point on the graph in the given interval (a, b), slope of the tangent drawn will be positive"

Given function is,

\(f(x)=\frac{1}{2}x^2+5x+6\)

In the interval (-∞, -5),

Graph is moving downwards therefore, tangents drawn at any point will have a negative slope and the function will decrease in this interval.

In the interval (-5, ∞),

In the given interval any tangent drawn at any point will have a positive slope and the function will be increasing.

Therefore, interval in which the function is increasing → (-5, ∞)

Option B is the answer.

The interval in which the function decreases is (-∞, -5).

The function decreases when, reading from left to right, the graph of the function goes downwards.

By looking at the graph, we can see that the graph goes downwards on the interval negative infinity and -5

Then we conclude that the function decreases on the interval (-∞, -5).

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When multiplying exponential expressions with the same base, you add the exponents. Thus,

(x^14)(x^3) = x^(14+3) = x^17

Therefore, n=17.

To simplify the given expression, we can use the rule that says "when we multiply two terms with the same base, we add their exponents". Applying this rule, we get:

(x^14)(x^3) = x^(14+3) = x^17

Thus, the value of n is 17. This is because when we multiply x^14 and x^3, we are essentially multiplying x by itself 14 times and then multiplying the result by x three more times. So, the total number of times we are multiplying x is 14+3=17, which means the final answer has an exponent of 17.

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A credit card is a plastic card issued by a financial institution, typically a bank, that allows the cardholder to borrow funds to make purchases or pay for services.

To resolve the issue with the recurring charge on your credit card, here are some steps you can take:

1. Verify the source of the charge: Double-check if the charge is indeed related to the service you canceled months ago. Look for any associated company names or service descriptions on your credit card statement.

2. Contact the company: Reach out to the company directly to discuss the issue. Provide them with all the necessary details, such as the date of cancellation, any cancellation confirmation emails, and the specific charges you are seeing on your credit card statement.

3. Request a refund: Ask the company for a refund for the unauthorized charges. Be polite but firm in explaining the situation and emphasize that you canceled the service already.

4. Keep records: Maintain a record of all communication with the company, including dates, names of the representatives you spoke to, and any reference numbers or case IDs they provide. This documentation will be helpful if you need to escalate the issue or dispute the charges with your credit card company.

5. Contact your credit card company: If the company does not cooperate or if you continue to receive unauthorized charges, contact your credit card issuer. Inform them about the situation and provide them with all the relevant details. They may be able to initiate a chargeback and help you resolve the issue.

Remember, it's important to remain patient and persistent throughout the process.

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Answer:

I think that it's the third one.

Step-by-step explanation:

Answer:

minimum value = 0.001

maximum value = 10

Step-by-step explanation:

To find the minimum and maximum values for the function, substitute the endpoints of the domain into the function:

when x = -3:

\(\implies k(-3)=10^{-3}=0.001\)

when x = 1:

\(\implies k(1)=10^{1}=10\)

Therefore,

minimum value = 0.001

maximum value = 10