(1 point) Two random samples are selected from two independent populations. A summary of the samples sizes and sample means is given below: n₁ = 51, ₁ n₂ = 50, T₂ 51.1 73.8 If the 97.5% confid

Answer:

b

Step-by-step explanation:

0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2

Answer:A

Step-by-step explanation:

The term that could be defined as the standard deviation adjusted to take into account the use of sampling is A. Standard Error.

Answer:

496 seconds

Step-by-step explanation:

148800000 ÷ 300000 = 496

Answer:

x < 4

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

Step 2: Subtract x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 4/(-1).

The frequency of 1 is option (d) 973

Reselecting cases means selecting a subset of data that meets specific criteria. In this case, you will need to identify which cases to keep based on certain conditions. After reselecting cases, the next step is to define the variable TX + Y. This means that you will perform an operation on two existing variables, T and Y, and create a new variable that is the sum of T and Y. The result will be a numerical variable.

To summarize, you will need to follow these steps:

Reselect cases based on specific criteria.

Define the variable TX + Y as the sum of T and Y.

Recode the numerical variable into a categorical variable with two categories: G-1 İFT <= 10 and G=0 if T>10.

Calculate the frequency of category 1 in the new variable G.

Finally, to answer the question, you will need to calculate the frequency of category 1 in the variable G. This means that there are 973 cases where the value of TX + Y is less than or equal to 10.

The correct answer is option d. 973.

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A function is a mathematical relation between two sets of values that assigns a unique output to each given input.

What is a function?

A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

I) f(x)- 2G(x) = 5x³-8x²+18x-13

II) 2f(x)+3G(x) = 31x³+26x²-34x+30

III) 1/2f(x)+ G(x)​ = 17/2x³+8x²-12x19/2

Here, we have

f(x)= 11x³+4x²-2x+3, G(x)= 3x³+6x²-10x+8

We have to find  I) f(x)- 2G(x), ii) 2f(x)+3G(x), iii) 1/2f(x)+ G(x)​

I) f(x)- 2G(x) = 11x³+4x²-2x+3 -2(3x³+6x²-10x+8 )

= 11x³+4x²-2x+3 - 6x³-12x²+20x-16

= 5x³-8x²+18x-13

Hence, the value of f(x)- 2G(x) is 5x³-8x²+18x-13.

II) 2f(x)+3G(x) = 2(11x³+4x²-2x+3)+3(3x³+6x²-10x+8 )

= 22x³+8x²-4x+6+9x³+18x²-30x+24

= 31x³+26x²-34x+30

Hence, the value of 2f(x)+3G(x) is 31x³+26x²-34x+30.

III)  1/2f(x)+ G(x)​ = 1/2(11x³+4x²-2x+3) + (3x³+6x²-10x+8)

= 11/2x³+2x²-2x+3/2+3x³+6x²-10x+8

= 17/2x³+8x²-12x19/2

Hence, the value of 1/2f(x)+ G(x)​ is 17/2x³+8x²-12x19/2.

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The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

The given constraints are: 14X + 4Y ≤ 28 and X − Y ≤ 2

In order to determine which of the points belong to the feasible region of this maximization problem, we need to check each point one by one. Let's evaluate each point and check which of the points lie in the feasible region. The points are given as below:x = −1, y = 2.5

The two constraints are:14X + 4Y ≤ 28 and X − Y ≤ 2

For the point (x,y) = (-1,2.5), we have:

14(-1) + 4(2.5) = 7 > 0;

Therefore, the point (-1,2.5) satisfies the first constraint.

Next, we need to check whether the point (-1,2.5) satisfies the second constraint:X − Y = -1 - 2.5 = -3.5 < 2

Since the second constraint is not satisfied, (-1,2.5) is not in the feasible region.

x = −1, y = 1

For the point (x,y) = (-1,1), we have:14(-1) + 4(1) = 10 > 0;

Therefore, the point (-1,1) satisfies the first constraint

.Next, we need to check whether the point (-1,1) satisfies the second constraint:X − Y = -1 - 1 = -2 < 2

Since the second constraint is satisfied, (-1,1) is in the feasible region.

x = 4, y = 2For the point (x,y) = (4,2), we have:14(4) + 4(2) = 64 > 0;

Therefore, the point (4,2) satisfies the first constraint.Next, we need to check whether the point (4,2) satisfies the second constraint:X − Y = 4 - 2 = 2 < 2

Since the second constraint is not satisfied, (4,2) is not in the feasible region.

x = 2, y = 1

For the point (x,y) = (2,1), we have:

14(2) + 4(1) = 32 > 0;

Therefore, the point (2,1) satisfies the first constraint.Next, we need to check whether the point (2,1) satisfies the second constraint:X − Y = 2 - 1 = 1 < 2

Since the second constraint is satisfied, (2,1) is in the feasible region.

x = 1, y = 1

For the point (x,y) = (1,1), we have:

14(1) + 4(1) = 18 > 0;

Therefore, the point (1,1) satisfies the first constraint.

Next, we need to check whether the point (1,1) satisfies the second constraint:X − Y = 1 - 1 = 0 < 2

Since the second constraint is satisfied, (1,1) is in the feasible region.

Hence, the two points that belong to the feasible region are (-1,1) and (1,1).

Therefore, the correct answer is: The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

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The volume of the cone to the nearest hundredth is 803.84 in³.

A cone has no edges and only one face, which is its circular base. A cone only has one vertex or apex point. The cone has a volume of 13 r2h.

First of all, we have to find the base area

base area = radius² x 3.14 = 8² x 3.14 = 64 x 3.14 = 200,96 in²

The volume can be found with this formula:

V = (base area x height)/3

V = (200.96 x 12)/3 = 803.84 in³

Therefore, the volume of the cone to the nearest hundredth is 803.84 in³.

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Answer:

11.855762

Step-by-step explanation:

Answer:

11.856 miles

Step-by-step explanation:

I just know

Answer:

Step-by-step explanation:

The formula for the y-intecept form is \(y=mx+b\)

Plugin the m and the b we have

\(y=-4x+5\)

Answer:

y=-4x+5

Step-by-step explanation:

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

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The distance between N and PS is 3.2.

What is the midpoint of the segment?

Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.

From the below figure,

N is the intersection of the red and blue circles.

I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).

Then the formula for the red circle is:

             (x-2)² + (y-4)² = 4.

The formula for the blue circle is

                  x² + y²- 16 = 0.

Solving for x and y yields intersections

               (0, 4) and (3.2, 2.4),

the first being S and the latter being N.

Hence, the distance between N and PS is 3.2.

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Answer:

irrational

Step-by-step explanation:

Scales on a wall, change of units conversion

1 inch = 4 1/2 feets

7 1/8 inches = ?

First convert to fractions

(4 + 1/2) • ( 7 + 1/8) =

apply distributive law ( a+b)•(c+d)= ac + ad + bc + bd

then length of wall= 4•7 + 4/8 + 7/2 + 1/16

= 28 + 8/16 + 56/16 + 1/16

= 28 + 64/16 + 1/16

= 28 + 4 + 1/16

= 32 + 1/16

lenght is 32 and 1/16 feet

Answer:

the answer is...........

Step-by-step explanation:

because...........................................................

The main answer to the question is the domain of the function h(x). The explanation is that the domain of h(x) is the set of all possible values of x for which the function is defined.

In this case, there are two restrictions on the domain: x cannot equal 6 or 0, since those values would result in a division by zero.

Therefore, the domain of h(x) is {x | x ≠ 6, x ≠ 0}.
would like to determine the domain of the function h(x) with the given information. However, the question seems to have some typos and formatting issues, making it difficult to provide an accurate answer. Please provide the correct function and any necessary information so I can help you determine the domain.

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The series ∑((-1)ⁿ⁺¹/(2n⁴) from n=0 to infinity is converges.

To test the convergence or divergence of the series ∑((-1)ⁿ⁺¹/(2n⁴) from n=0 to infinity, we can use the alternating series test.

The alternating series test states that if a series has the form ∑((-1)ⁿ)bₙ or ∑((-1)ⁿ⁺¹)bₙ.

where bₙ is a positive sequence that converges to zero as n approaches infinity, then the series converges.

We have ∑(-1)ⁿ⁺¹/2n⁴.

Let's analyze the sequence bₙ=1/2n⁴

The sequence bₙ = 1/(2n⁴) is always positive.

As n approaches infinity, 1/(2n⁴) approaches zero.

Therefore, we can apply the alternating series test to our series. T

The alternating series ∑((-1)ⁿ⁺¹/(2n⁴) converges because the sequence bₙ=1/2n⁴ satisfies the conditions of the alternating series test.

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The probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

The probability mass function (PMF) and cumulative mass function (CMF) for the random variable x, which denotes the number of parts correctly classified in an optical inspection system, can be determined.

Since the classifications of the parts are independent, we can use the binomial probability distribution to model this scenario. The PMF gives the probability of obtaining a specific value of x, and the CMF gives the probability of obtaining a value less than or equal to x.

The PMF of x is given by the binomial probability formula:

P(x) = (n C x) * p^x * (1 - p)^(n - x)

where n is the number of trials (number of parts inspected), x is the number of successes (number of parts correctly classified), and p is the probability of success (probability of correct classification of any part).

In this case, n = 3 (three parts inspected) and p = 0.98 (probability of correct classification).

Let's calculate the PMF for x:

P(x = 0) = (3 C 0) * (0.98^0) * (1 - 0.98)^(3 - 0) = 0.0004

P(x = 1) = (3 C 1) * (0.98^1) * (1 - 0.98)^(3 - 1) = 0.0588

P(x = 2) = (3 C 2) * (0.98^2) * (1 - 0.98)^(3 - 2) = 0.3432

P(x = 3) = (3 C 3) * (0.98^3) * (1 - 0.98)^(3 - 3) = 0.941192

The PMF for x is:

P(x = 0) = 0.0004

P(x = 1) = 0.0588

P(x = 2) = 0.3432

P(x = 3) = 0.941192

To calculate the CMF, we sum up the probabilities up to x:

F(x) = P(X ≤ x) = P(x = 0) + P(x = 1) + ... + P(x = x)

Using the calculated probabilities, the CMF for x is:

F(x = 0) = 0.0004

F(x = 1) = 0.0592

F(x = 2) = 0.4024

F(x = 3) = 1.0

Therefore, the probability mass function (PMF) for x is {0.0004, 0.0588, 0.3432, 0.941192}, and the cumulative mass function (CMF) for x is {0.0004, 0.0592, 0.4024, 1.0}.

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The correct statements are Mean of Chi Square distribution with 5 degrees of freedom is 5 and Variance of Chi Square distribution with 5 degrees of freedom is 10. The correct option for the given problem is : (b) and (d)

Chi-Square Distribution is a theoretical distribution that has several practical applications. It is a special distribution of the gamma distribution that is used in the hypothesis testing, goodness of fit tests, confidence interval estimation and other areas. It is a non-negative distribution.

The chi-squared distribution is applied to test hypothesis about the goodness of fit of the observed data to the expected data. There are several properties of chi-square distribution which include: It is a continuous distribution, it is non-negative and asymmetrical. It is a family of distributions, that is, the shape of the distribution depends on the degrees of freedom (df) of the distribution, i.e, the size of the sample. Its properties are mainly dependent on the degrees of freedom.

The properties of the chi-square distribution with 5 degrees of freedom are as follows:

Mean (μ) = df = 5

Variance (σ²) = 2df = 10

Mode = df - 2 = 3

Skewness = 2/√df = 0.894

Kurtosis = 12/df = 2.4

The correct options for the given problem are (b) and (d)The mean and variance of the chi-square distribution with 5 degrees of freedom are 5 and 10 respectively.

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The probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.

The Poisson distribution is a probability distribution that describes the number of events occurring in a fixed time interval, given the average rate at which events occur and the independence of events. In this case, the average rate of calls is 3 calls per hour.

The probability of receiving exactly 6 calls next hour can be calculated using the Poisson probability formula:

\(P(X = 6) = (e^(-λ) * λ^6) / 6!\)

where λ is the average rate of calls, e is the base of the natural logarithm, and 6! is the factorial of 6.

Substituting the values, we get:

\(P(X = 6) = (e^(-3) * 3^6) / 6! ≈ 0.090\)

Therefore, the probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.l

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The probability that the secretary will receive 6 calls next hour is approximately 0.0504, or 5.04%

To calculate the probability that the secretary will receive 6 calls next hour, given that the average is 3 calls per hour

and the Poisson distribution applies, follow these steps:

Identify the given information: λ (average calls per hour) = 3, k (number of calls to calculate the probability for) = 6.

Use the Poisson probability formula:

P(k) =\((e^{(-\lambda)} \times\lambda^k) / k!,\)

where P(k) is the probability of k calls,

e is the base of the natural logarithm (approximately 2.71828),

λ is the average rate (3 calls per hour), and

k! is the factorial of k (6 in this case).

Calculate \(e^{(-\lambda)}: e^{(-3)} = 0.04979.\)

Calculate \(\lambda^k: 3^6 = 729.\)

Calculate k!: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.

Substitute these values into the formula: P(6) = (0.04979 × 729) / 720 ≈ 0.0504.

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Answer:

3 pints of water will fill up the bin

Step-by-step explanation:

1 gallon = 4 quarts

1/4 gallon = 1 quart

1 quart = 2 pints

That means that Two pints filled 2/3 of the bin meaning that one more pint will fill it up completely

Since y_1(0) = 1, it satisfies the initial condition. However, y_2(0) = 0 does not satisfy the initial condition, as it should be y(0) = 1. Therefore, only y_1(t) is a solution of the initial value problem.

To verify that both y_1(t) = 1 - t and y_2(t) = -t^2/4 are solutions of the initial value problem, we first need to understand what the problem is. An initial value problem is a differential equation that includes an initial condition. In this case, we can assume that the initial condition is y(0) = 1.
Now, let's substitute both y_1(t) and y_2(t) into the differential equation and see if they satisfy the initial condition. The differential equation is not provided, but assuming it is y'(t) = -t/2, we have:
y_1'(t) = -1
y_2'(t) = -t/2
Substituting y_1(t) and y_2(t) into the differential equation gives:
y_1'(t) = -1

= -t/2 (when t = 2)
y_2'(t) = -t/2

= -t/2 (for all t)
Thus, both y_1(t) and y_2(t) satisfy the differential equation. Now, let's check if they satisfy the initial condition.
y_1(0) = 1 - 0

= 1
y_2(0) = -0^2/4

= 0
In conclusion, y_1(t) = 1 - t is the only solution that satisfies the differential equation and initial condition, while y_2(t) = -t^2/4 is not a solution since it does not satisfy the initial condition.

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The probability they choose all democrats is 0.01805

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

Republicans = 11

Democrats = 8

Number of selections = 4

If the selected people are all democrats, then we have

P = P(Democrats) * P(Democrats | Democrats) in 4 places

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

P = 8/19 * 7/18 * 6/17 * 5/16

Evaluate

P = 0.01805

Hence, the probability they choose all democrats is 0.01805

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Answer:  -|-9|, -|9|, and the opposite of nine

Step-by-step explanation:

The absolute value symbol is | |. |-9| is 9 but add that - to it and it's -9. The absolute value of 9 is 9, add the - to it to get -9.

the opposite of 9 is -9.


Mark Me Brainliest Please ヾ(≧▽≦*)o twank yoww ~uwu :W

The probability that a person surveyed gets their news by reading the paper, given that they are under 40, is approximately 7.7%.

To find the probability that a person surveyed gets their news by reading the paper, given that they are under 40, we need to calculate the conditional probability.

The number of people who read the paper and are under 40 is 4, and the total number of people under 40 is 52.

Therefore, the probability is calculated as:

Probability = (Number of people who read the paper and are under 40) / (Total number of people under 40) = 4 / 52

Now, let's calculate the probability:

Probability = 4 / 52 ≈ 0.0769

Rounding to the nearest percent and converting this to a percentage:

Probability ≈ 7.7%

Given that they are under 40, the likelihood that a person in the poll gets their news from reading the newspaper is roughly 7.7%.

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The conversion factor that should be used to convert from miles to kilometers is given as follows:

1.61.

The conversion factor that should be used to convert from miles to kilometers is obtained applying the proportions in the context of the problem.

There are approximately 1.61 kilometers in 1 mile, hence the conversion factor that should be used to convert from miles to kilometers is given as follows:

1.61, which is the number of km in a mile.

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Mario left 65 miles to reach his goal and m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal

Two or more expressions with an Equal sign is called as Equation.

Given that the Mario set a goal to run 130 miles this month to prepare for a marathon.

He has run 65 miles in this month.

We need to find the equation to show how many miles Mario has left to run this month to reach his goal.

m+65=130

We can find the left out distance in miles.

Subtract 65 from both sides.

m=130-65

m=65

Hence, m + 65 = 130 is the equation to show how many miles Mario has left to run this month to reach his goal and Mario left 65 miles to reach his goal.

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Answer:

it's b

Step-by-step explanation:

-1.08333333333

I used a calculator

hope it helps!

Answer:

\(-1.083\)

Step-by-step explanation:

If you want to convert \(\frac{-26}{24}\) as a fraction, you will have to divide the numerator by the denominator.

\(-1.083\)

\(Aaishathameem\)