please help this is due 20/23​

The first 50 names in the telephone directory may or may not be a random sample. It depends on how the telephone directory is compiled.

The first 50 names in the telephone directory may or may not be a random sample, depending on the context and purpose of the study.

To determine if it is a random sample, we need to consider how the telephone directory is compiled.

If the telephone directory is compiled randomly, where each name has an equal chance of being included, then the first 50 names would be a random sample.

This is because each name would have the same probability of being selected.

However, if the telephone directory is compiled based on a specific criterion, such as alphabetical order, geographic location, or any other non-random method, then the first 50 names would not be a random sample.

This is because the selection process would introduce bias and would not represent the entire population.

To further clarify, let's consider an example. If the telephone directory is compiled alphabetically, the first 50 names would represent the individuals with names that come first alphabetically.

This sample would not be representative of the entire population, as it would exclude individuals with names that come later in the alphabet.

In conclusion, the first 50 names in the telephone directory may or may not be a random sample. It depends on how the telephone directory is compiled.

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The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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The number of observations in a complete data set with 10 elements and 5 variables is a. data.

In the context of data analysis, a complete data set refers to a collection of data that includes all the required observations or cases. In this scenario, the data set consists of 10 elements, which represent the individual observations or data points. Each element is associated with 5 variables, which are the characteristics or attributes being measured or observed.

Therefore, the number of observations in this data set is determined by the number of elements, which is 10. The term "observations" refers to the individual data points or cases in the data set. The other options, such as "variables" and "elements," do not accurately represent the count of observations in this context.

Hence, the correct answer is a. data, indicating that the number of observations in the complete data set is determined by the number of elements, which in this case is 10

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The total area of the region bounded by the graph of y = x times the square root of \((1 - x^2)\) and the x-axis is 1/2.

Let the region bounded by the graph of y = x times the square root of\((1 - x^2)\) and the x-axis be the region R.

The total area of region R is given by A as;\(A = 2∫_0^1▒〖ydx〗\)

The boundary of the given region is given by y = x times the square root of\((1 - x^2)\) and the x-axis.

Thus, for any x in the interval [0, 1], the boundary of the region R can be represented as;\(∫_0^1▒〖x√(1-x^2)dx〗\)

Let \(u = 1 - x^2,\)

therefore, du/dx = -2x.

It implies that\(dx = -du/2x.\)

The integral becomes;\(∫_1^0▒〖(-du/2)√udu〗=-1/2 ∫_1^0▒√udu\)

=-1/2 2/3

= -1/3

Therefore the total area of the region bounded by the graph of y = x times the square root of \((1 - x^2)\)and the x-axis is 1/2. Hence, option B) 1/2 is the correct answer.

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The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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The price per unit that will yield maximum revenue is $67.04.

In order to find the price per unit that will yield maximum revenue, we have to follow the below-given steps:

Step 1: The revenue function for x units of a product is

R(x) = x * P(x),

where P(x) is the price per unit of the product.

Step 2: The demand function is

D(x) = 170e^(-0.04x)

Step 3: We are given that the 0 ≤ x ≤ 55, it means that we only need to consider this domain. Also, the price per unit of the product is unknown. Let's take it as P(x). Hence, the revenue function will be:

R(x) = P(x) * xR(x) = x * P(x)

Step 4: We need to find the price per unit that will yield maximum revenue. In order to do that, we have to differentiate the revenue function with respect to x and find its critical point. Let's differentiate the revenue function.

R'(x) = P(x) + x * P'(x)

Step 5: Now we will replace P(x) with D(x) / x from the demand function to obtain a function that depends on x only.

This will give us R(x) = x * (D(x) / x).

Simplifying this expression, we get R(x) = D(x).

Let's write it. R(x) = D(x)R'(x) = D'(x)

Step 6: Differentiate D(x) with respect to x, we get:

D'(x) = -6.8e^(-0.04x)

Step 7: To find the critical point of R(x), we will equate R'(x) to zero and solve for x.

R'(x) = 0D(x) + x * D'(x) = 0

Substitute D(x) and D'(x)D(x) + x * D'(x) = 170e^(-0.04x) - 6.8x * e^(-0.04x) = 0

Divide both sides by e^(-0.04x)x = 25

The critical point of R(x) is 25. It means that if the company sells 25 units of the product, then the company will receive maximum revenue.

Step 8: We need to find the price per unit that will yield maximum revenue. Let's substitute x = 25 in the demand function to find the price per unit of the product.

D(25) = 170e^(-0.04*25) = 67.04

Therefore, the price per unit that will yield maximum revenue is $67.04.

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Counterexample

A counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's conclusion. It is used to check the validity of an argument.

We have been given the conjecture:-

"For every integer n, \(n^3\) is positive."

We have to show that the conjecture is false by finding a counterexample.

Let us take an integer n = - 5

Finding its cube we, get

\(n^3\) = -125

We know that,

-125 is not positive, it is negative.

Hence, the conjecture "For every integer n, \(n^3\) is positive." is proven wrong by finding a counterexample which states otherwise.

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Answer: B, C, and F

Step-by-step explanation:

1.6 !!!!!!!!!! x=1.6 !!!!!

Answer:

B (5,2)

Step-by-step explanation:

Answer:

1,000 friends will get 1 gram of gold bar each from 1 kilogram of gold bar

Step-by-step explanation:

1 kilogram of gold bar = 1,000 grams of gold bar

You have 1 kilogram of gold bar

You want each of your friends to get 1 gram

Number of friends that will get 1 gram of gold bar each = 1 kilogram of gold bar / 1 gram

= 1000 gram / 1 gram

= 1,000

Number of friends that will get 1 gram of gold bar each = 1,000 friends

p = -4 and q = -6

hope it helps...!!!

The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

On factorizing 13824, we get

13824=2^9 ×3 ^3

So, cube root =2^3×3

Step-by-step explanation:

The study described in the question is a randomized crossover trial, where each participant serves as their own control by receiving both treatments  in a randomized order

In a matched pairs experiment, each subject is paired with another subject who is similar in some relevant characteristic, and one subject receives the treatment while the other serves as a control. The two subjects in each pair are matched on this characteristic to reduce the effect of confounding variables.

In contrast, a randomized crossover trial is a type of experiment in which each participant receives both treatments (in this case, canned soup and fresh soup) in a randomized order, with a washout period between the treatments to minimize carryover effects. In this study, the participants were randomly assigned to either start with canned soup or fresh soup and then switched to the other treatment after a two-day break. Each participant thus serves as their own control, and the difference in outcome between the two treatments is compared within each individual.

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The given question is incomplete, the complete question is:

Bisphenol A in Your Soup Cans Bisphenol A (BPA) is in the lining of most canned goods, and recent studies have shown a positive association between BPA exposure and behavior and health problems. How much does canned soup consumption increase urinary BPA concentration? That was the question addressed in a recent study1 in which consumption of canned soup over five days was associated with a more than 1000 % increase in urinary BPA. In the study, 75 participants ate either canned soup or fresh soup for lunch for five days. On the fifth day, urinary BPA levels were measured. After a two-day break, the participants switched groups and repeated the process. The difference in BPA levels between the two treatments was measured for each participant. The study reports that a 95 % confidence interval for the difference in means (canned minus fresh) is 19.6 to 25.5 ?g/L. 1Carwile, J., Ye, X., Zhou, X., Calafat, A., and Michels, K., ‘‘Canned Soup Consumption and Urinary Bisphenol A: A Randomized Crossover Trial,” Journal of the American Medical Association, 2011; 306(20): 2218–2220.Is this a randomized comparative experiment or a matched pairs experiment?

This equation implies that k is equal to 0, which means the ratio AC = k(BC) is not defined in this case. k=1/2

In a right triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. In this case, we are given that tan A = 2, which means the length of the side opposite angle A is twice the length of the side adjacent to angle A.

Let's label the sides of the right triangle as follows:

The side opposite angle A is BC.

The side adjacent to angle A is AC.

The hypotenuse is AB.

Since we know that tan A = 2, we have the equation:

tan A = BC / AC = 2

Rearranging the equation, we get:

BC = 2 * AC

We are also given that AC = k * BC. Substituting the value of BC from the equation above, we have:

k * BC = 2 * AC

Dividing both sides of the equation by BC, we get:

k = 2 * AC / BC

Since we have established that BC = AC / k, we can substitute this expression into the equation:

k = 2 * AC / (AC / k)

Simplifying further, we get:

k = 2 * k

Dividing both sides of the equation by 2, we find:

k / 2 = k

The given information leads to an inconsistent or invalid solution.

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Answer:

(2,3)

Step-by-step explanation:

substituting y we get 4.5x=9 so x=2, with this we can plug x back into one of the equations to solve for y, which is 3

Answer:

GCF = 4

add to:  -14

multiply to:  45

4(x-5)(x-9)

Step-by-step explanation:

b. DNA samples can be easily replicated to create millions of copies.

Advancements in DNA analysis techniques, such as polymerase chain reaction (PCR), have made it possible to amplify DNA samples, creating numerous copies from even a small initial sample.

This amplification process enables forensic scientists to work with significantly smaller DNA samples while still obtaining sufficient material for analysis. This has revolutionized forensic investigations by allowing DNA testing to be conducted on minute or degraded samples, expanding the range of potential evidence that can be analyzed.

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Answer:

The sum of all four angles of a quadrilateral is 360 degrees.

Let's denote the two unknown angles as 4x and 9x, where x is a constant.

We can set up an equation using the given information:

291 + 17 + 4x + 9x = 360

Simplifying the equation:

308 + 13x = 360

13x = 52

x = 4

So, the two unknown angles are:

4x = 16 degrees

9x = 36 degrees

Therefore, the measures of the two angles in a ratio of 4:9 are 16° and 36°.

Answer:

what

Step-by-step explanation:

The probability that hour 10 is the first sample at which x exceeds 1 is 0.0086.

Let X denotes the number of parts in the sample of 20 that require rework. We can model the number X of parts in a random sample of 20 that require rework with a binomial distribution \($X\sim B(20,0.01)$\). We want to find the probability that the first sample at which X exceeds 1 occurs at hour 10. To do this, we need to compute two probabilities:

- The probability that in the first 9 samples, no sample has more than 1 part needing rework.

- The probability that in the 10th sample, there are at least 2 parts needing rework.

To compute the first probability, we use the binomial distribution with n=20 and p=0.01, and note that each of the first 9 samples is independent. Thus, the probability that no sample in the first 9 has more than 1 part needing rework is

\($$P(X\le 1)^9 = \left(\binom{20}{0}(0.01)^0(0.99)^{20} + \binom{20}{1}(0.01)^1(0.99)^{19}\right)^9 \approx 0.435$$\)

To compute the second probability, we just use the binomial probability mass function with n=20 and p=0.01:

\($$P(X\ge 2) = 1 - P(X=0) - P(X=1) \approx 0.0198$$\)

Finally, we can multiply these probabilities to get the desired probability:

\($P(\text{first sample with } X > 1 \text{ is at hour } 10) = 0.435\times 0.0198 \approx \boxed{0.0086}.$\)

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Answer: 699

Step-by-step explanation:

Answer:

calculating beats per minute

Answer:

1.50

Step-by-step explanation:

To find the mean of the probability distribution, we need to multiply each value of hours studied by its corresponding probability, then add up the products.

Mean = (0.5 x 0.07) + (1 x 0.2) + (1.5 x 0.46) + (2 x 0.2) + (2.5 x 0.07)

Mean = 0.035 + 0.2 + 0.69 + 0.4 + 0.175

Mean = 1.5

Therefore, the mean of the probability distribution is 1.5.

Answer:

D

Step-by-step explanation:

1.50 on edge (if that guys right)

Answer:

Step-by-step explanation: x = the number

8 + x/3 = -2

Multiply both sides by 3 and get

24 + x = -6

Solve for x:

x = -30

Answer:

343.97

Step-by-step explanation:

price of vending machine is 100% = 324.50

100% + 6% sales tax = 106%=1.06

324.50*1.06

343.97

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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