Enter an equation that represents total cost, C, in dollars of the helium filled balloons for n party guests.

a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

D

Step-by-step explanation:

Basically just matching each of the triangles in the right order as the other one show in the letters below

The values of x are -3/2 and 2

Given the expression;

1/x+1 + 2/x+2 = 5/x+4

1(x + 2) + 2(x + 1) /(x +1)(x + 2) = 5/x+4

expand the bracket

x+ 2+2x + 2/x^2 + 2x + x + 2 = 5/x + 4

3x + 4/x^2 + 3x + 2 = 5/ x + 4

cross multiply

5( x^2 + 3x + 2 ) = x + 4 ( 3x + 4)

expand the bracket

5x^2 + 15x + 10 = 3x^2 + 4x + 12x + 16

collect like terms

5x^2 - 3x^2 + 15x - 16x + 10 - 16 = 0

Add like terms

2x^2 - x - 6 = 0

2x^2 - 4x + 3x - 6 = 0

(2x^2 - 4x) + (3x - 6) = 0

2x( x - 2) + 3 ( x - 2) = 0

(2x + 3) ( x - 2) = 0

2x + 3 = 0

x = -3/2

OR

x - 2 = 0

x = 2

Thus, the values of x are -3/2 and 2

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Answer:

1). 5.2 cm

2). 8.3 cm

step by step explanation

Answer:

5.4 and 8.6

Step-by-step explanation:

This is the right answer

The answer is 1. The ΣX for a sample of n=12 scores with M=8 is 96, 2. The mean for combined samples of n=15 (mean=10) and n=10 (mean=8) is 9.33, 3a. The original mean before adding 6 points is 8, 3b. The original mean before multiplying scores by 4 is 8, 4. The new sample means after removing X=18 is 22.5, and 5. The score added to a population with μ=24 to achieve μ=34 is 34.

1. For any sample, we can find the sum of the scores (ΣX) by multiplying the mean by the number of scores. So in this case:ΣX = M * nΣX = 8 * 12ΣX = 96Therefore, the ΣX value for this sample is 96.

2. To find the mean of the combined samples, we can use the formula: Mean of combined samples = (n1 * mean1 + n2 * mean2) / (n1 + n2) = Mean of combined samples = (15 * 10 + 10 * 8) / (15 + 10) = Mean of combined samples = 9.33. Therefore, the mean for the combined samples is 9.33.

3. a: We can use the formula for shifting the mean to find the original mean: M1 = M2 - kM1 = 14 - 6M1 = 8. Therefore, the value for the mean before 3 points were added to each score is 8. b. The researcher then realizes that she instead needs to multiply each score by 4. Using the original scores, she multiplies each by 4 and finds the mean to be M=32. We can again use the formula for shifting the mean to find the original mean: M1 = M2 / kM1 = 32 / 4M1 = 8. Therefore, the value of the mean prior to multiplying each score by 4 points is 8.

4. To find the new sample mean, we need to remove the score and adjust the mean accordingly. We can use the formula: New mean = (ΣX - X) / (n - 1)New mean = (ΣX - 18) / 10. Given that the original mean is 22, we can solve for ΣX:22 = ΣX / 1122 * 11 = ΣX243 = ΣX. Now we can plug in to find the new mean: New mean = (243 - 18) / 10 = New mean = 22.5. Therefore, the value of the new sample mean is 22.5.

5. We can use the formula for adding a score to a population to find the value of the added score: N μ = ΣX / NN * μ = ΣX / N + 1. Given that N = 10 and μ = 24 for the original population, we can solve for ΣX:10 * 24 = ΣX240 = ΣX. Now we can use the new mean and the formula to solve for the added score:11 * 34 = 240 + X / 11274 = 240 + XX = 34. Therefore, the value of the score that was added is 34.

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The answer provides solutions to the various statistical maths problems that involve calculations of mean and sum of scores. These problems explore the understanding of the concept of mean, summation and basic operations.

To answer these questions, you'll need to understand basic concepts of statistics, specifically the calculation of means, and summation of scores (ΣX). So, let's break them down one by one:

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The domain and range need to be determined for a given relation, and it will be determined whether the relation represents a function.

To determine the domain and range of a relation, we need to examine the set of inputs (domain) and the set of corresponding outputs (range). The domain is the set of all possible input values for which the relation is defined, while the range is the set of all possible output values that result from the given inputs.

In the context of determining whether the relation represents a function, we need to ensure that each input value from the domain corresponds to a unique output value. If there is any input value that produces multiple output values, the relation is not a function.

To determine the domain, we examine the set of all valid input values. This can be based on restrictions or limitations stated in the problem or the nature of the relation itself. The range, on the other hand, is determined by observing the set of all output values that result from the given inputs.

Once the domain and range are determined, we can check if each input in the domain corresponds to a unique output in the range. If every input has a unique output, the relation represents a function. If there is any input that maps to multiple outputs, the relation does not represent a function.

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The volume of the display case is 2161 1/8 cubic inches.To find the volume of a rectangular prism-shaped display case, we multiply its length, width, and height.

Given that the display case is 30 1/2 inches wide, 10 1/2 inches long, and 32 1/4 inches tall, we can calculate the volume as follows:

Volume = Length * Width * Height

Using the given measurements:

Volume = 10 1/2 inches * 30 1/2 inches * 32 1/4 inches

To simplify the calculation, we can convert the mixed numbers to improper fractions:

Volume = (21/2) inches * (61/2) inches * (129/4) inches

Next, we multiply the fractions:

Volume = (21/2) * (61/2) * (129/4) = 17289/8

The resulting fraction, 17289/8, is an improper fraction. To convert it back to mixed number form:

Volume = 2161 1/8 in³.

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Answer:

18. Commutative property of addition

19. Distributive property

20. Associative property of addition

Step-by-step explanation:

Answer:

Answer is in attached photo. (B)

Step-by-step explanation:

The solution is in the attached photo , do note the question might specify the method to use to solve the equations, just like this the question:

1) Substitution Method

2) Elimination Method

Answer:

3 1/2 ÷ 1 1/4  

7/2 ÷ 5/4

7/2 · 4/5

28/10

2.8

Julio walks 2.8 miles in one hour.

Step-by-step explanation:

Answer:

2.8miles/hr

Step-by-step explanation:

Given parameters:

 Distance walked = 3.5miles

 Time taken  = 1.25hrs

Unknown:

Number of miles walked per mile  = ?

Solution:

The miles walked per hour is defined as the speed.

  Speed is the distance divided by time;

   Speed  = \(\frac{Distance}{time taken}\)

Insert parameters and solve;

   Speed  = \(\frac{3.5}{1.25}\)   = 2.8miles/hr

The time taken for investment to reach $ 25000 is t = 0.4581 years

Given data ,

The formula for a certain uninsured certificate of deposit is

A (t) = 10000e^2t

And , 10,000 is the principal amount, and A (t) is the amount the investment is valued in t years

Now , when A = 25,000 ,

A(t) = 10000e^(2t) = 25000

Dividing both sides by 10000, we get:

e^(2t) = 2.5

Taking the natural logarithm of both sides, we get:

ln(e^(2t)) = ln(2.5)

Using the property that ln(e^x) = x, we simplify the left side to:

2t = ln(2.5)

Dividing both sides by 2, we get:

t = ln(2.5) / 2

On simplifying the equation , we get

t ≈ 0.4581 years

Hence , it will take approximately 0.4581 years, or about 5.5 months, for the investment to grow to $25,000

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Given:

Kendra charges $8.00 for two puzzles and a piece of candy.

She charges $4.50 for one puzzle and a piece of candy.

To find:

The cost of each puzzle.

Solution:

Let x be the cost of a puzzle and y be the cost of piece of candy.

Kendra charges $8.00 for two puzzles and a piece of candy.

\(2x+y=8\)               ...(i)

She charges $4.50 for one puzzle and a piece of candy.

\(x+y=4.50\)             ...(ii)

Subtracting (ii) from (i), we get

\(2x+y-(x+y)=8-4.50\)

\(2x+y-x-y=3.50\)

\(x=3.50\)

The cost of puzzle is $3.50. Therefore, the correct option is A.

Answer:

he get 12 an hour

Step-by-step explanation:

The expression that represents the equation is x + 15 = 60

The total money needed to buy something is $60

And the saved up amount is $15

The amount of money that the Grandmother contributes is x

The saved up amount and the grandmothers contribution is equal to the total amount required to purchase

We need to write the expression that represents the equation.

x + 15 = 60

Therefore, the expression that represents the equation is x + 15 = 60

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Answer:

-2(2x+3)

Step-by-step explanation:

Answer:

-2 (2x + 3)

Step-by-step explanation:

We need to use FOIL

Multiply the FIRST terms of each set together

Then the OUTSIDE terms

Then the INSIDE terms

and then the LAST terms

Thus:

\(2*2x = 4x\)

\(2*3 = 6\)

\(-4*3 = -12\)

\(-4*2x = -8x\)

So finally we end up with 4x + 6 - 12 - 8x

Simplifying this gives us -4x - 6

We can then factor out -2 from each factor, giving: -2(2x+3)

Hope this helps!

Answer:

i don't speak spanish bro sorry

Answer: 73 mph

Explanation: 156 x 0.47 = 73.32 ≈ 73

At 12 seconds, the cart will be moving at 24 cm per second.Rebecca is using a fan cart and measuring the rate of the cart at different times.

Rebecca is using a fan cart and measuring the rate of the cart at different times. At 10 seconds, the cart has a speed of 20 cm per second. To calculate the speed at 12 seconds, you can use the formula rate x time = distance. The rate is the speed of the cart at 10 seconds, which is 20 cm per second. The time is the difference between 10 seconds and 12 seconds, which is 2 seconds. Thus, the equation becomes 20 cm/s x 2s = 40 cm. Therefore, the speed at 12 seconds is 24 cm per second.

At 12 seconds, the cart will be moving at 24 cm per second.

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In the given diagram, using the exterior angle theorem, the measure of angle d, m ∠d, is 68°

From the question, we are to calculate the measure of angle d in the given diagram.

From the given information and by the Alternate angles theorem,

We can write that

a° = 55° (Alternate interior angles)

Now,

To calculate the measure of angle d, we can use the Exterior angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Thus,

We can write that

a° + d° = 123°

55° + d° = 123°

d° = 123° - 55°

d° = 68°

Hence, the measure of angle d, m ∠d, is 68°

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\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{37}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{35} \end{cases} \\\\\\ x=\sqrt{ 37^2 - 35^2}\implies x=\sqrt{ 1369 - 1225 } \implies x=\sqrt{ 144 }\implies x=12\)

she should use 2 by 6

Step-by-step explanation:

2 divided by 6 will give 0.3 in 1d.p

Answer:

279936^3

OR

21936950640377856

Step-by-step explanation:

George doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.

From the above question:

George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money.

Look at the numerical expression George used: 15 −( 9 + 2.65 + 1.35 + 2(1.74) )

Use the order of operations to simplify this expression.

Using the order of operations we have:

=$ 15 – (9 + 2.65 + 1.35 + 2(1.74) )

= $15 -( 9 + 2.65 + 1.35 + 3.48 )

=$ 15 – (16.48)

= $-1.48

Hence , george doesn’t have enough money because the total cost of what he wants to buy costs $16.48 and he has $15. This means he needs an extra $1.48 to be able to buy what he needs.

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Answer:

The percent decrease is 35%.

Step-by-step explanation:

percent change = (new value - old value)/(old value) × 100%

new value = $52

old value = $80

percent change = ($52 - $80)/($80) × 100%

percent change = -$28/$80 × 100%

percent change = -35%

A negative percent change means a percent decrease.

Answer: 35%

Therefore, the ground state (n = 1) comes closest to satisfying the uncertainty principle, as it achieves the smallest possible values for Ox and Op in the infinite square well.

To calculate the values and check the uncertainty principle for the nth stationary state of the infinite square well, we need to consider the following:

(x): The position of the particle in the nth stationary state is given by the equation x = (n * L) / 2, where L is the length of the well.

(x^2): The expectation value of x squared, (x^2), can be calculated by taking the average of x^2 over the probability density function for the nth stationary state. In the infinite square well, (x^2) for the nth state is given by ((n^2 * L^2) / 12).

(p): The momentum of the particle in the nth stationary state is given by the equation p = (n * h) / (2 * L), where h is the Planck's constant.

(p^2): The expectation value of p squared, (p^2), can be calculated by taking the average of p^2 over the probability density function for the nth stationary state. In the infinite square well, (p^2) for the nth state is given by ((n^2 * h^2) / (4 * L^2)).

Ox: The uncertainty in position, Ox, can be calculated as the square root of ((x^2) - (x)^2) for the nth state.

Op: The uncertainty in momentum, Op, can be calculated as the square root of ((p^2) - (p)^2) for the nth state.

Now, let's analyze the uncertainty principle by comparing Ox and Op for different values of n. As n increases, the uncertainty in position (Ox) decreases, while the uncertainty in momentum (Op) increases. This means that the more precisely we know the position of the particle, the less precisely we can know its momentum, and vice versa.

The state that comes closest to the uncertainty limit is the ground state (n = 1). In this state, Ox and Op are minimized, reaching their minimum values. As we move to higher energy states (n > 1), the uncertainties in position and momentum increase, violating the uncertainty principle to a greater extent.

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The system of linear inequalities that represents the number of students and chaperones on each bus is: x ≥ 0, y ≥ 3, and x + y ≤ 44.

To explain further, let's analyze each inequality. The first inequality, x ≥ 0, states that the number of students on each bus (represented by x) must be greater than or equal to zero. This inequality ensures that there cannot be a negative number of students on a bus, which makes sense in the context of the problem.

The second inequality, y ≥ 3, states that the number of adult chaperones on each bus (represented by y) must be greater than or equal to three. This inequality enforces the rental company's policy of having at least three adult chaperones on each bus.

The third inequality, x + y ≤ 44, represents the constraint that the total number of students (x) and adult chaperones (y) combined must be less than or equal to the seating capacity of the bus, which is 44. This inequality ensures that the total number of occupants on the bus does not exceed its capacity.

Together, these three inequalities form the system of linear inequalities that represent the possible combinations of students and chaperones on each bus, satisfying the rental company's policy and the seating capacity.

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Complete question:

Your class has rented buses for a field trip. Each bus seats 44 passengers. The rental company's policy states that you must have at least 3 adult chaperones on each bus. Let x represent the number of students on each bus. let y represent the number of adult chaperones on each bus. Write a system of linear inequalities that shows the various numbers of students and chaperones that could be on each bus.

Answer: 0.45

Step-by-step explanation:

Answer:

The person above is right and deserves brainliest.

(B),  .45

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