Round 16.297 to the nearest hundredth?

The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

According to the statement

We have to find that the ice creams that neither are fat-free nor contain nuts.

So, For this purpose, we know that the

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

From the given information:

There are 35 flavors of ice cream at an ice cream parlor, 25 flavors contained ice creams.

Contain nuts = 25

Are fat free = 12

Are both = 8

Then

Contain nuts or are fat free = 25+12-8 = 29

Total = 35

Neither contain nuts nor are fat free = 35-29 = 6.

So, The number of ice creams according to the probability,  Neither contain nuts nor are fat free is 6.

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The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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The optimal feasible solution is x1 = 1, x2 = 0.4, and the problem is a regular linear programming problem.

To solve the given linear programming problem, let's define the decision variables and formulate the objective function and constraints:

Decision Variables:

x1, x2

Objective Function:

Maximize: 2x1 + 6x2

Constraints:

2x1 + 5x2 ≤ 4

4x1 + x2 ≤ 6

x1, x2 > 0

To find the optimal feasible solution, we can use a linear programming solver. Here is the optimal solution for the given problem:

Optimal Solution:

x1 = 1

x2 = 0.4

The maximum value of the objective function is obtained when x1 = 1 and x2 = 0.4. The maximum value is 2(1) + 6(0.4) = 4.8.

Now let's analyze if the solution is a special case of linear programming.

This problem falls under the category of Linear Programming (LP) problems. However, it does not represent any specific special case of LP such as degeneracy, unboundedness, or infeasibility. The given problem has a feasible solution, and the objective function is maximized within the given constraints. Hence, it is a regular LP problem without any special case conditions.

Note: Since the solution is text-based, there is no need to scan or provide a separate file.

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 A line's slope is a measurement of how steep a line is. Slope is calculated by dividing the change in y values by the change in x values.

  A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Slope is a measure of the steepness of a line.

Slope = rise / run = Δy / Δx.

Slope= Δx /Δy = 4−0 /2−5 = 4 / −3

​Slope from two points, for instance

We are informed that there are two possible solutions to a particular linear equation:

Solution: x = 11.4, y = 11.5, x = 11.4, y = 11.5, space, space, space, y = 11.

Answer: x=12.7 y=15.4 x=12.7 y=15.4

Slope=

Δx / Δy  =  12.7−11.4 /15.4−11.5

=  1.3 /3.9

= 13 /39

=3.

The line has a 333 slope.

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Using Chebyshev's Theorem, the minimum proportion of scores that fall within 1.8 standard deviations on both sides of the mean is 69.14%.

When the distribution is unknown, Chebyshev's Theorem is used. It states that:

For this problem, we have that k = 1.8, hence the percentage is:

\(P = 100\left(1 - \frac{1}{1.8^{2}}\right) = 69.14\)

The minimum proportion of scores that fall within 1.8 standard deviations on both sides of the mean is 69.14%.

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Answer:

\((-infinity,3)\), D

Step-by-step explanation:

3 if x is greater than or equal to 1 is nothing. That leaves us with \(h(x)=2x+1\) if x<1. If you substitute in 1 for x, you get 3, but of course that isn't possible, so the range is \((-infinity,3)\), which is D.

The two column proof showing that ΔFHK ~ ΔGHJ is as detailed below.

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

Statement 1: FG/FH = KJ/KH

Reason 1: Ratio of similar sides of a triangle

Statement 2: ∠H ≅ ∠H

Reason 2: Reflexive Property of Congruence

Statement 3: ΔFHK ~ ΔGHJ

Reason 3: SAS Similarity Theorem

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Answer:

dependant clause I think so I don't know sorry

In a 2 x 2 x 2 factorial design, you need to test a total of seven possible effects: three main effects (A, B, and C) and four interaction effects (A x B, A x C, B x C, and A x B x C).

In a 2 x 2 x 2 factorial design, there are three independent variables, each with two levels. The possible effects to test include main effects and interaction effects.

The main effects are the individual effects of each independent variable on the dependent variable. In this design, there are three main effects to test: the effect of the first independent variable (A), the effect of the second independent variable (B), and the effect of the third independent variable (C).

Interaction effects occur when the effect of one independent variable on the dependent variable depends on the level of another independent variable. In a 2 x 2 x 2 design, there are three possible two-way interaction effects to test: A x B, A x C, and B x C. Additionally, there is one three-way interaction effect to test: A x B x C.

In summary, in a 2 x 2 x 2 factorial design, you need to test a total of seven possible effects: three main effects (A, B, and C) and four interaction effects (A x B, A x C, B x C, and A x B x C).

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Answer:

X = 92 degrees

Step-by-step explanation:

the angles of a triangle all add up to 180 degrees, so 40 plus 180-132 = 88

180-88= 92 so X = 92

h=1739 kwh10

Step-by-step explanation:

shere in the earth is from to the sun then the the black hole say goodbye earth

Answer:

6:9:5

Step-by-step explanation:

every 30ml of orange juice

need 45ml of apple juice

&25ml of coconut milk

so 30:45:25

divide all by 5

6:9:5

Answer:

Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances.

plz follow me

The length of arc FH is approximately 9.42 units when rounded to the nearest hundredth.

To find the length of arc FH in circle G, we need to use the formula:

Arc Length = (Central Angle / 360°) \(\times\) Circumference

First, let's calculate the central angle m/FGH in degrees:

m/FGH = 60°

Next, we need to find the circumference of the circle. We know that the radius of the circle is equal to half the length of FG:

Radius = FG/2 = 18/2 = 9 units

Circumference = 2 \(\times\) π \(\times\) Radius = 2 \(\times\) π \(\times\) 9

Now, let's substitute the values into the formula to calculate the arc length:

Arc Length = (60/360) \(\\\times\) (2 \(\times\) π \(\times\) 9)

Simplifying this expression:

Arc Length = (1/6) \(\times\) (18π) = 3π units

To round the answer to the nearest hundredth, we can substitute the value of π as approximately 3.14:

Arc Length ≈ 3 \(\times\) 3.14 ≈ 9.42 units

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The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer:

875

Step-by-step explanation:

Step-by-step explanation:

The given geometric sequence is: 120, 60, 30, 15.

To find the explicit formula for this sequence, we need to determine the common ratio (r) first. The common ratio is the ratio of any term to its preceding term. Thus,

r = 60/120 = 30/60 = 15/30 = 0.5

Now, we can use the formula for the nth term of a geometric sequence:

a(n) = a(1) * r^(n-1)

where a(1) is the first term of the sequence, r is the common ratio, and n is the index of the term we want to find.

Using this formula, we can find the explicit formula for the given sequence:

a(n) = 120 * 0.5^(n-1)

Therefore, the explicit formula for the given geometric sequence is:

a(n) = 120 * 0.5^(n-1), where n >= 1.

Answer:

\(a_n=120\left(\dfrac{1}{2}\right)^{n-1}\)

Step-by-step explanation:

An explicit formula is a mathematical expression that directly calculates the value of a specific term in a sequence or series without the need to reference previous terms. It provides a direct relationship between the position of a term in the sequence and its corresponding value.

The explicit formula for a geometric sequence is:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=a_1r^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a_1$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Given geometric sequence:

To find the explicit formula for the given geometric sequence, we first need to calculate the common ratio (r) by dividing a term by its preceding term.

\(r=\dfrac{a_2}{a_1}=\dfrac{60}{120}=\dfrac{1}{2}\)

Substitute the found common ratio, r, and the given first term, a₁ = 120, into the formula:

\(a_n=120\left(\dfrac{1}{2}\right)^{n-1}\)

Therefore, the explicit formula for the given geometric sequence is:

\(\boxed{a_n=120\left(\dfrac{1}{2}\right)^{n-1}}\)

Answer:

10

Step-by-step explanation:

d is the variable for distance

√(0−8)2+(−3−3)2=

√(−8)2+(−6)2=

√64+36=

√100=

10

Answer:

10

Step-by-step explanation:

In this study, one individual refers to a single third-grade student from the total population of third graders in the school.

The student collected information on the number of siblings for each member of her class, which consists of 22 students. However, to consider the entire population, we need to take into account all the third-grade classes in the school. Since the school has five different third-grade classes, the population of interest comprises all the third graders across these five classes.

Each student in the population is considered an individual for the study. Therefore, one individual in this context refers to any random third-grade student from the school, regardless of the specific class they belong to. To conduct a comprehensive study and obtain accurate information about the number of siblings among third graders in the school, it would be necessary to collect data from a representative sample across all the third-grade classes.

By doing so, researchers can make inferences and draw conclusions about the entire population of third graders in the school based on the collected data.

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Answer:

first I added all numbers together including 45. and I got 252. then I subtracted 252 from 360 and got 108. then I decided 108 by 2 and got 54. then I checked so I think answer is 54

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

the answer is k=-4 hope this helps

Answer:

To solve the equation x^2 + 4x = 56, we can start by rearranging it to the standard quadratic form:

x^2 + 4x - 56 = 0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = 4, and c = -56, so we have:

x = (-4 ± sqrt(4^2 - 4(1)(-56))) / 2(1)

x = (-4 ± sqrt(240)) / 2

x = (-4 ± 15.49) / 2

x = (-4 + 15.49) / 2 or x = (-4 - 15.49) / 2

x = 5.745 or x = -9.745

Therefore, the solutions to the equation x^2 + 4x = 56 correct to one decimal place are x = 5.7 and x = -9.7

Answer:

$7.50

Step-by-step explanation:

15% of 50=7.5

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Each of the tables is classified as linear or non-linear on the image presented at the end of the answer.

A function is classified as linear or non-linear depending on the rate of change of the function.

If the rate of change of the function is constant, that is, when x changes by one amount, y always changes by the same amount, then the function is classified as linear.

Conversely, if the rate of change of the function is different for different intervals, then the function is classified as non-linear.

For example, the top-left function is non linear, as when x changes by one from x = 1 to x = 2, y changes by 3, from y = 1 to y = 4, while when x changes by one from x = 2 to x = 3, y changes by 5.

The bottom-right function is linear, as for each increase of x by 5, the value of y decays by 4.

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Answer:

2uv + 3uv + u - u

5uv + 0

5uv

Answer:

5uv

(2uv + 3uv) + (u - u)

And you would get the answer 5uv

High clouds are those that form at altitudes of at least 20,000 ft (6000 m).

At high altitudes, ice crystals form due to which cloud formation occurs.   Cirrus, cirrostratus, and cirrocumulus clouds are a few types of clouds. Cirrostratus clouds frequently form a thin, white layer that resembles a veil and covers the entire sky. Small, spherical, white clouds called cirrocumulus develop in long rows. Because they can provide information about changes in atmospheric pressure, temperature, and moisture levels in the upper atmosphere, these high clouds are crucial for meteorologists to investigate.

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