a customer ordered 15 pieces of gourmet chocolate. the order can be packaged in small boxes that contain 1, 2 or 4 pieces of chocolate. any box that is used must be full. how many different combinations of boxes can be used for the customer's 15 chocolate pieces? one such combination to be included is to use seven 2-piece boxes and one 1-piece box.

The linear distance traveled in one revolution of a wheel can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 36 inches, we can substitute the value into the formula:

Circumference = π * 36 inches

Using an approximate value of π as 3.14159, we can calculate the circumference:

Circumference ≈ 3.14159 * 36 inches

Circumference ≈ 113.09724 inches

Therefore, the linear distance traveled in one revolution of a 36-inch diameter wheel is approximately 113.09724 inches.

 The sample we collect plays a cruciThe sample we collect can significantly affect our understanding of a population,

especially when it comes to making generalizations or drawing conclusions about the entire population based on the sample data. The key aspect in this regard is whether the sample is representative of the population.

A representative sample is one that accurately reflects the characteristics, diversity, and distribution of the population from which it is drawn. When our sample is representative, we can have greater confidence in generalizing the findings from the sample to the larger population. However, if our sample is not representative, our understanding of the population may be biased or limited.

In the provided example, the given data represents different age groups and their reported time spent with friends per day. If we were to collect a sample from this population, it would be crucial to ensure that the sample includes individuals from each age group in proportion to their representation in the population. This would help ensure that our sample accurately reflects the age distribution of the population.

If our sample is not representative, it may lead to inaccurate conclusions. For instance, if we only surveyed individuals from the age group 55-64 and ignored the other age groups, our understanding of the population's time spent with friends would be limited to that specific age group. We wouldn't be able to generalize our findings to the entire population because we would have missed important variations in behavior across other age groups.

To improve the representativeness of our sample, we could use random sampling techniques, such as simple random sampling or stratified sampling, to ensure that individuals from all age groups are included in the sample. By doing so, we can enhance our understanding of the population as a whole and make more accurate inferences.

In conclusion, the sample we collect plays a crucial role in shaping our understanding of a population. A representative sample enables us to make valid generalizations and draw reliable conclusions about the entire population. It ensures that the characteristics and diversity of the population are properly reflected in the sample, allowing for more accurate insights and informed decision-making.al role in shaping our understanding of a population

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Answer:

k=100

Step-by-step explanation:

20x5=100

Answer:

k=100

Step-by-step explanation:

Solve for  k  by simplifying both sides of the equation, then isolating the variable.

Answer: 135

Step-by-step explanation: We know that the forerunner is 1/5 the speed of the water skier as 20/100 is 1/5. Now if we "reverse" this we can multiply 27 by 5 to find the speed of the water skier, this is 135 which is the speed of the water skier. Hope this helped :)

The leading coefficient of the polynomial is -2, and the degree of the polynomial is 3.

To identify the leading coefficient and degree of the polynomial, we need to consider the highest power of the variable in the polynomial expression.

In the given polynomial, -2y³ is the term with the highest power of y. The coefficient of this term, which is -2, is the leading coefficient of the polynomial. The degree of a polynomial is determined by the highest power of the variable. In this case, the highest power of y is 3 in the term -2y³. Therefore, the degree of the polynomial is 3.

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Answer:

THIS IS HARD

Step-by-step explanation:

The research design described is an independent factorial design, as it involves randomly assigning participants to different groups and manipulating the independent variable (type of dietary supplement) to examine its impact on the dependent variable (wound healing times).

The research design described in the scenario is an independent factorial design. In this design, the researcher randomly assigns participants to different groups and manipulates the independent variable (type of dietary supplement) to examine its impact on the dependent variable (wound healing times). The independent variable has three levels (Placebo, Vitamin X, and Kale), and each participant is assigned to only one of these levels. This design allows for comparing the effects of different dietary supplements on wound healing times by examining the differences among the three groups.

In this study, the researcher randomly divided the 36 patients into three subgroups, ensuring that each subgroup represents a different level of the independent variable. The participants in each group took their assigned pill-based supplement three times a day for one week, and at the end of the week, their wound healing times were recorded. By comparing the wound healing times among the three groups, the researcher can assess the impact of the different dietary supplements on the outcome variable.

Overall, the study design employs an independent factorial design, which allows for investigating the effects of multiple independent variables (the different dietary supplements) on a dependent variable (wound healing times) while controlling for random assignment and reducing potential confounding variables.

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Answer:

61x over 3

=16? on a graph

Step-by-step explanation:

The formula for the arc length of the circle is L = ( θ/360° ) 2πr

Given data ,

Let the circle be represented as A

Now , The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Write the circumference of the circle

C = 2πr

Find the angle ratio that represents a percentage of the circle using the central angle θ

θ/360°

Multiply the angle ratio times the circumference to get the arc length

Arc Length = ( θ/360° ) 2πr

Hence , the arc length of the circle is L = ( θ/360° ) 2πr

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

If the distance to a star was suddenly cut in half, it would appear four times brighter.

The brightness of a star is directly proportional to the inverse square of its distance from us. This means that if the distance to a star is halved, its brightness will increase by a factor of four.

The relationship between brightness and distance can be expressed as follows:

B = k / d^2

where B is the brightness, k is a constant of proportionality, and d is the distance.

If the distance to the star is halved, it can be expressed as:

d' = d / 2

Plugging this into the equation for brightness, we get:

B' = k / (d / 2)^2

Expanding this and simplifying, we get:

B' = 4 * k / d^2

Since k is a constant, it cancels out and we are left with:

B' = 4 * B

This means that if the distance to a star was suddenly cut in half, it would appear four times brighter. In astronomical terms, this is equivalent to an increase of 2 magnitudes on the logarithmic magnitude scale.

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Answer: The answer would be A or $1

Step-by-step explanation:

$9 x 3 = $27 adult Wilson tickets          $9 x 2 = $18 adult Jackson tickets

$5 x 4 = $20 student Wilson tickets     $5 x 6 = $30 student Jackson tickets

$20 + $27 = $47 Wilson tickets            $18 + $30 = $48 Jackson tickets

                                          $48 - $47 = $1

Answer:

a. $1

Step-by-step explanation:

To find the difference, calculate how much each family spent on tickets and then subtract the lower number from the higher number. I’ll start with the Wilson’s.

First, multiply the cost of the tickets by how many they bought.

$9*3 adult tickets=$27

$5*4 student tickets=$20

Then, add the values together to find the total cost.

$27+$20=$47

Now, let’s do the same for the Jackson’s.

$9*2 adult tickets=$18

$5*6 student tickets=$30

$18+$30=$48

Finally, subtract the Jackson’s total cost from the Wilson’s.

$48-$47=$1

The difference is $1.

The numbers are classified as rational or irrational as follows:

Rational numbers are the whole numbers plus decimals that can be represented by fractions, involving both positive and negative numbers.

The set of irrational numbers is composed by numbers that cannot be represented by fractions, such as non-exact roots, which are non-terminating and non-repeating decimal numbers.

Hence the numbers are classified as follows:

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Answer:

x = 10.8

Step-by-step explanation:

9 ÷ x = x ÷ (9 + 4)

9 × (9 + 4) = x × x

9 × 13 = x²

117 = x²

x = 10.81665383

Use 2.5th and 97.5th percentile of these values.

Bootstrapping, which is a type of test or metric that mimics the sampling process by using random sampling with replacement, belongs to the larger category of resampling techniques. With bootstrapping, sample estimates are given accuracy ratings such as bias, variance, confidence intervals, prediction error, etc.

A random sample with replacement from the original sample must be taken thousands of times in order to determine the 95% confidence interval for the population standard deviation. You calculate the sample standard deviation from each fresh sample.

From the values of the 2.5th and the 97.5th percentile of these data, we can use the bootstrap method to determine the 95% confidence interval for the population standard deviation.

So we need to use 2.5th and the 97.5th percentile of these values.

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Answer:

56 miles per hour.

Step-by-step explanation:

392÷7=56

Could I please have BRAINLIEST?

The number of kilometers till the tank is empty, given the graph on petrol and distance travelled is 240 kilometers .

Assuming the interval is 10, the slope - intercept form would be:

Petrol = Slope x Kilometers + y - intercept

The slope can be found because we have the y - intercept as 60 liters. We can then pick a point on the graph to slope for the slope. We'll pick ( 80, 40 ).

40 = 80 x slope + 60

Slope = ( 40 - 60 ) / 80

Slope = - 1 / 4

The formula is:

petrol = - 1 / 4 ( distance ) + 60

Assuming the petrol is 0 for when the tank is empty, the distance is:

0 = - 1 / 4 x distance + 60

- 1 / 4 x distance = - 60

distance = - 60 / - 1 / 4

distance = 240 kilometers

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Answer:

A and C

Step-by-step explanation:

Nadine and Trevor both conducted an experiment but Nadine conducted with four possible outcomes and Trevor doubled the trials, therefore, Trevor will have more experimental outcomes than Nadine because he doubled the trials. Moreover, Trevor's experimental probability is more likely closer to theoretical probability than Nadine's, therefore option 'A' and 'C' are correct.

Answer:  

Trevor has more experimental outcomes than Nadine.  

Trevor’s experimental probability is more likely closer to the theoretical probability than Nadine’s.

Step-by-step explanation:

Answer:

12,14,13,15,17,16,19,18

Step-by-step explanation:

Answer:

is a Step-by-step explanation:

combination

A selection in which order has no importance.A mathematical symbol, or combination of symbols, representing a value, or relation. Example:

2

+

2

=

4

.equation

A mathematical statement that says two expressions have the same value; any number sentence with an

=

.

ordered pair

Set of two numbers in which the order has an agreed-upon meaning, such as the Cartesian coordinates

(

x

,

y

)

, where the first coordinate represents the horizontal position, and the second coordinate represents the vertical position.

solution

1. The value of a variable that makes an equation true.

2. In chemistry, a solution is a homogeneous mixture composed of only one phase.

Answer:

6 words per minute

Step-by-step explanation:

Divide 36 by 6 minutes to find how many words per minute

Answer:

6 words per minute

Step-by-step explanation:

36 words/ 6 minutes = 6 words per minute

The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.

Let's understand why?

Explanation:

An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.

This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.

The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.

Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.

Hence, the statement is true.

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Answer:

first graph is not a function, second graph is a function, 3rd is not enough information, 4th is a function, 5th is not a function, 6th is a function

Step-by-step explanation:

Answer:

I got all of them right on Imagine Math!

Step-by-step explanation:

Hope this helps!

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get \(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

Let's consider that s be the length of a side of the regular pentagon.

The perimeter of the regular pentagon will be 5s. Therefore, we have the equation:5s = 140s = 28 cm

Also,

we have the formula for the area of a regular pentagon as:

\($A=\frac{1}{4}(5 +\sqrt{5})a^{2}$,\)

where a is the length of a side of the pentagon.

In order to represent the area of a regular pentagon whose perimeter is 140 cm, we need to substitute a with s, which we have already calculated.

Therefore, we have:\(A(s) = $\frac{1}{{4}(5 +\sqrt{5})s^{2}}$\)

Now, we have successfully used function notation (with the appropriate functions above) to represent the area of a regular pentagon whose perimeter is 140 cm.

The area of a regular pentagon can be represented using function notation (with the appropriate functions above). The first step is to calculate the length of a side of the regular pentagon by dividing the perimeter by 5, since there are 5 sides in a pentagon.

In this case, we are given that the perimeter is 140 cm, so we get 5s = 140, which simplifies to s = 28 cm. We can now use the formula for the area of a regular pentagon, which is\(A = (1/4)(5 + sqrt(5))a^2\), where a is the length of a side of the pentagon.

However, we need to substitute a with s since that is the value we have calculated. Therefore, we get\(A(s) = (1/4)(5 + sqrt(5))s^2.\) This is the function notation that represents the area of a regular pentagon whose perimeter is 140 cm.

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Answer:

X = Cost of the bananas

Step-by-step explanation:

While y represents the weight (in pounds) of the bananas, x represents the cost of the bananas proportional to the weight.

Answer:

0.65

Step-by-step explanation:

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Answer: -(x - 2)(x + 2)(y - x)(y + x)

Step-by-step explanation:

Factor the following polynomial completely.

-x2y2 + x4 + 4y2 - 4x2

I assume the polynomial is as follows:

-x^2y^2 + x^4 + 4y^2 - 4x^2

Therefore:

-(x - 2)(x + 2)(y - x)(y + x)

Answer:

2

Step-by-step explanation:

3(N² + 4)

3N² = 12

3N² ÷ 3 = 12 ÷ 3

N² = 4

√N² = √4

N = 2

Answer:

73 degrees

Step-by-step explanation:

180-127=53

53+54= 107

180-107

= 73 degrees

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