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Question 2 (Essay Worth 2 points)
(01.02 MC)

Thus, the probability that the focus group will have two males and two females is 0.3.

To determine the total number of possible ways to select four members from a department of 10. This is known as the sample space and is calculated using the combination formula, which is:
n C r = n! / r! (n - r)!

where n is the total number of individuals (in this case, 10) and r is the number of individuals being selected (in this case, 4).

So, the sample space for selecting four members from a department of 10 is:
10 C 4 = 10! / 4! (10 - 4)! = 210

Next, we need to determine the number of ways to select two males and two females from a department with 7 males and 3 females.

This is calculated using the multiplication principle, which states that the total number of ways to perform a sequence of events is equal to the product of the number of ways to perform each individual event.

So, the number of ways to select two males and two females from a department with 7 males and 3 females is:
(7 C 2) x (3 C 2) = 21 x 3 = 63

Finally, we can calculate the probability of selecting a focus group with two males and two females by dividing the number of ways to select two males and two females by the total number of possible ways to select four members:
63 / 210 = 0.3

Therefore, the probability that the focus group will have two males and two females is 0.3. The answer is d.

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Let the original price of the item be X.

In one week, the price is halved and becomes (1/2)X.

In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.

Answer:

I mean, I think it varies by house and by location but a general range would be:

Min: 64 *F

Max: 74 *F

Answer: the answer is 80

Answer:

seiscientos noventa y seis millones quinientos cuarenta y tres mil noventa y ocho

The number of years that the glory days of the cowboy period lasted was about 2 decades.

The glory days of the cowboy times is typically deemed as the span between the conclusion of the Civil War in 1865 to around the dawn of the1900s. During these years, cowboys played an indispensable role in boosting and improving the American West peculiarly in the cattle industry.

With bravery and courage, they would drive a herd of cattle across wide expanses frequently grappling with harsh conditions and situations of peril. The genesis of industrialization phased out the cowboy era with train networks expediting the transportation of both bovine species and freight with efficiency.

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Answer:

4. 12√3

5. -35√2

6. 5√2/2

Step-by-step explanation:

4. 3√12+2√27

= 3√(4×3) + 2√(9×3)

= 6√3+6√3

= 12√3

5. 5√8-9√50

= 5×2√2-9×5√2

= 10√2-45√2

= -35√2

6. 5/√2

= 5×√2/(√2×√2)

= 5√2/2

Answered by GAUTHMATH

Answer:

x = 18/7

Step-by-step explanation:

First, you want to combine like terms

3x + 2 + 4x - 20

7x - 18

If the equation is equal to zero, then you would get x by itself.

7x - 18 = 0

7x = 18

x = 18/7

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3x+2+4x-20  Equation/Question

Step 2

3x+2+4x-20  simplify by taking terms

(3x+4x)+(2+(-20))

answer

7x-18

Answer:

57 Students........................

Answer:

A

Step-by-step explanation:

The probability of finding oil (to 1 decimal) is 0.7.

Probability is a statistic that is used to show the possibility or chance that a certain event will occur. Probabilities can be expressed as fractions from 0 to 1, in contrast to percentages from 0% to 100%. The four main types of probability that mathematicians study are axiomatic, classic, empirical, and subjective. Given that the terms potential and probability are interchangeable, you could define probability as the probability that a particular event will take place.

To determine probability the  Preliminary geologic  , we obtain,

P(oil)=0.3+0.4

P(oil)=0.7.

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For the number of miles driven, Company A will charge less than Company B if x<y, where x is the number of miles driven for Company A and y is the number of miles driven for Company B. Therefore, the inequality is x<y.

When comparing two companies for their charges for a specific service, it is necessary to obtain a basic understanding of the charges for each company. You can make use of the inequality operator to check when one company will charge less than the other company.

To use the inequality operator, you'll need to calculate the differences between the two companies for the specific mileage. Let's assume that the mileage is represented by "m" and that the charge for company A is "cA" and the charge for company B is "cB".

If the question only provides specific numerical values for these variables, you can substitute them into the inequality formula. If you're given algebraic expressions, you'll need to simplify them before substituting them into the inequality formula.

The inequality formula for comparing the charges is as follows: cA < cB.

To use this formula, substitute the expression for each variable.

For example: 4m + 20 < 3.5m + 35 Now, you'll need to simplify the inequality by performing algebraic operations on both sides of the inequality. Begin by subtracting 3.5m from both sides of the inequality: 0.5m + 20 < 35.

Next, subtract 20 from both sides of the inequality: 0.5m < 15 Finally, divide both sides of the inequality by 0.5: m < 30

Therefore, Company A will charge less than Company B for any mileage less than 30.

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Answer:

Step-by-step explanation:

1. 2x - 28

2. 6x3 - 4x2 + 2x

3. x2 + 7x + 12

4. m2 - 4mn + 21n2

5. x2 - 9x + 18

Answer:

Step-by-step explanation:

well 6.4 converted to a fraction is 32/5 so i hope this helps.

Answer:

Step-by-step explanation:

Problem 14: Mean 5.5, Range: 5.8

Problem 15: question #1 4, mode: 63

Probelm 16: Median 63, Range:  8.3

Answer:

14: Mean is 5.5 Hours

Range is 7.9 Hours

15: 4 Numbers

Mode is 6.3

16: Median is 6.3

Range is 8.3

Step-by-step explanation:

(I'll edit in the explanations momentarily)

Answer:

Kendall's shirt was $18.20.

Step-by-step explanation:

39.45 - 8.50 - 12.75 = 18.20

Answer: the answer is 2x2 - x -6

Step-by-step explanation: I searched it

The approximate internal rate of return on this project is approximately 13.59% at which the present value of the cash inflows (profits) is equal to the initial investment.

To calculate the approximate internal rate of return (IRR) for this project, we need to determine the discount rate at which the present value of the cash inflows (profits) is equal to the initial investment.

Given:

Initial investment = $2,000,000

Annual profit generated = $400,000

Number of years = 7

We can set up the following equation:

PV of cash inflows = Initial investment

To calculate the present value of the cash inflows, we need to discount each year's profit at the discount rate (IRR) and sum them up. Using a financial calculator or spreadsheet software, we can iterate different discount rates until the present value of the cash inflows matches the initial investment. Using an iterative process, the approximate internal rate of return (IRR) for this project is found to be approximately 13.59%.

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Answer:

$16.28

Step-by-step explanation:

44.%

Move the decimal up by two numbers to get a whole number, .44

and multiply .44 by $37

Answer:

Step 3

Step-by-step explanation:

Step 2:

\(\dfrac{3*8}{5*8}\\\\Step3:\\\\\dfrac{24}{25}\)

5*5 = 25. In the sum it is wrongly written as 5

Answer:

Step 3

Step-by-step explanation:

3 * 8 = 24

but 5*5 = 25

The correct answer is 24/25

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

100.571429.

Step-by-step explanation:

2*22/7*(4)^2

=44/7*16

=100.571429

The relationship between the confidence interval and the margin of error is that the margin of error determines the width of the confidence interval.

The margin of error is a measure of the uncertainty associated with a sample statistic, such as the mean or proportion. It represents the maximum amount by which the sample statistic may differ from the true population parameter, with a certain degree of confidence. The confidence interval, on the other hand, is a range of values that is likely to contain the true population parameter, with a certain degree of confidence. The width of the confidence interval is determined by the margin of error.

Therefore, none of the options given in the question is correct. The width of the confidence interval is typically calculated by multiplying the margin of error by a factor that depends on the desired level of confidence. For example, a 95% confidence interval is typically calculated by multiplying the margin of error by 1.96, which corresponds to a confidence level of 95%. In summary, the margin of error determines the width of the confidence interval, but the relationship between the two is not as simple as any of the options given in the question.

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Answer:

m=   -3

equation=  -3x+9

distance=   9.48   or 3 root 10

Step-by-step explanation:

hope this helps i couldnt understand the options

The Sum of 40 terms of the Arithmetic Sequence is 3,420..

Arithmetic Series is defined as a sum of the terms of arithmetic progression or sequence.

An Arithmetic progression is a sequence of terms in which the difference between two consecutive terms is a constant number.

We have following information about series

sum of 12 terms of an arithmetic series (S₁₂) = 186

the 20th term of arithmetic sequence = 83

i.e., a₂₀ = 83

As we know that nth term of arithmetic progression is aₙ= a + (n-1)d

where , a---> first term of sequence

n ----> nth term

d -----> constant difference between two consecutive terms

put n= 20 in above formula we get,

83 = a + (20-1 )d = a+ 19d ----(1)

Now , Using the sum of n arithmetic terms formula, Sₙ = n/2 ( 2a + (n-1)d)

so, for n = 12

186 = 12/2 ( 2a + 11d ) => 2a + 11d = 31 ---(2)

Solving equations (1) and (2) we get,

27d = 135 => d = 5

putting the value of d in equation (1)

83 = a + 19×5 => a = 83 - 95 = -12

thus sequence is like as -12, -7 , -2 , ------

Sum of first 40 terms of arithmetic sequence (S₄₀) = 40/2 ( 2× (-12) + 39d ) = 20 ( -24 + 39×5)

= 20( 171) = 3,420

So, required result is 3,420..

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65 kg is equivalent to approximately 143.3 pounds and both are unit of measurement of weight.

To convert kilograms to pounds, we multiply the weight in kilograms by the conversion factor of 2.20462. Therefore, to convert 65 kg to pounds, we can multiply 65 by 2.20462, which gives us approximately 143.3 pounds.

It's important to note that kilograms and pounds are both units of weight, but they are used in different parts of the world. Kilograms are the standard unit of weight in most countries, while pounds are commonly used in the United States and some other countries.

Converting between units of measurement is a valuable skill, especially when communicating or traveling internationally. Knowing how to convert from kilograms to pounds, or vice versa, can help you understand weight measurements in different contexts.

Online conversion tools or calculators can be useful resources to quickly and accurately convert between units of measurement as needed.

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Answer:

M= 32 x 3

M= 96

Carly ran 96 miles

Step-by-step explanation:

May I have brainliest please? :)

The sampling plan's reliability or validity. Before using a sampling plan, it is crucial to examine its reliability or validity. This assessment helps determine how well the sampling plan can discriminate between good and bad quality.

Reliability refers to the consistency and stability of the sampling plan's results. A reliable sampling plan consistently produces similar outcomes when applied to the same population under similar conditions. If a sampling plan is unreliable, its results may vary widely, leading to inconsistent judgments about quality.

Validity, on the other hand, refers to the extent to which the sampling plan accurately measures or identifies the desired characteristics or qualities. A valid sampling plan provides a true representation of the quality being assessed and ensures that good quality is distinguished from bad quality effectively.

By examining the reliability and validity of a sampling plan, we can gain confidence in its ability to accurately discriminate between good and bad quality. This examination may involve conducting pilot tests, analyzing historical data, or seeking expert opinions to assess the plan's effectiveness and suitability for the specific context.

Without considering the reliability and validity of a sampling plan, there is a risk of making incorrect judgments or decisions based on flawed or biased sampling outcomes. Therefore, it is essential to evaluate these aspects before using a sampling plan to ensure the reliability and accuracy of the results obtained.

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a.

= (5x)² - 3 = 25x² - 3

- 5f(x) = 5(x² - 3) = 5x² - 15

b.

- f(x - 2) = (x - 2)² - 3 = x² - 4x + 1

- f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

a. To calculate f(5x), we substitute 5x into the function f(x) and simplify the expression.

  f(5x) = (5x)² - 3 = 25x² - 3

  To calculate 5f(x), we multiply the function f(x) by 5.

  5f(x) = 5(x² - 3) = 5x² - 15

b. To calculate f(x - 2), we substitute (x - 2) into the function f(x) and simplify the expression.

  f(x - 2) = (x - 2)² - 3 = x² - 4x + 4 - 3 = x² - 4x + 1

  To calculate f(x) - f(2), we evaluate f(x) and f(2) separately and then find their difference.

  f(x) = x² - 3

  f(2) = 2² - 3 = 4 - 3 = 1

  f(x) - f(2) = (x² - 3) - (2² - 3) = x² - 3 - 1 = x² - 4

For the difference quotient of f(x) = -7x² - 5x + 9, we can calculate it as follows:

Difference quotient = [f(x + h) - f(x)] / h

Expanding the function and substituting into the difference quotient formula, we have:

[f(x + h) - f(x)] / h = [-7(x + h)² - 5(x + h) + 9 - (-7x² - 5x + 9)] / h

Simplifying and expanding further:

= [-7(x² + 2hx + h²) - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-7x² - 14hx - 7h² - 5x - 5h + 9 + 7x² + 5x - 9] / h

= [-14hx - 7h² - 5h] / h

= -14x - 7h - 5

The difference quotient of f(x) = -7x² - 5x + 9 is -14x - 7h - 5.

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Answer: B

Step-by-step explanation:

We know N cannot be 0 as the value would not be negative.
We know N cannot be negative as that would make the expression positive.
B is the only answer that works.