Troy has 5/6 ounces of sprinkles to make cupcakes. The recipe uses 1/4 ounce per dozen of cupcakes. Write an expression which can be used to determine how many dozens of cupcakes Troy can make.

Help please? :)​

Answer:

24

Step-by-step explanation:

1/3 = 8

3/3 = 8*3

The correct statements from the frequency table are given as follows:

The frequency table shows the absolute frequencies of each observations, that is, the number of times that each observations was observed.

For example:

There are 43 males that prefer pizza.

Then the correct statements are given as follows:

The frequency table is given by the image shown at the end of the answer.

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Answer:  1/11

Step-by-step explanation:

The probability that the selected piece will be red velvet is equal to the amount of red velvet cake divided by the total amount of cake.

Therefore, it would be 3/(25+1+2+3+2)

= 3/33

= 1/11 when simplified

To prove the relationship between the illumination at two different distances from a lamp, we can use the inverse square law of light propagation. According to this law, the intensity or illumination of light decreases as the distance from the source increases.

The inverse square law states that the intensity of light is inversely proportional to the square of the distance from the source. Mathematically, it can be expressed as:

I1 / I2 = (D2 / D1)^2 where I1 and I2 are the illuminations at distances D1 and D2, respectively. In this case, we are given that the illumination from the lamp at a distance of 1 m is 10 m/m^2 (meters per square meter). Let's assume that the illumination at a distance of 0.5 m is I2.

Using the inverse square law, we can write the equation as:

10 / I2 = (1 / 0.5)^2

Simplifying the equation, we have:

10 / I2 = 4

Cross-multiplying, we get:

I2 = 10 / 4 = 2.5 m/m^2

Therefore, we have proven that the illumination at a point 0.5 m away from the lamp is 2.5 m/m^2, not 40 m/m^2 as stated in the question. It seems there may be an error or inconsistency in the given values.

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The true statement is b. Parallel ILS approaches provide aircraft with a minimum of 1-1/2 miles of radar separation between successive aircraft on the adjacent localizer course.

The term ILS stands for Instrument Landing System. Aircraft generally employ these techniques to safely land in limited visibility situations. Air traffic controllers make sure that a minimum separation is maintained between two or more aircraft when they use ILS approaches to approach the same airport on parallel runways in order to minimise the danger of accidents.

According to FAA regulations, parallel ILS approaches give aircraft at least 1-1/2 miles of radar separation between succeeding aircraft on the adjacent localizer track. Radar devices are efficiently used to measure this separation between the aircraft, which is maintained horizontally. Therefore, this concept is crucial for the proper functioning of aircrafts.

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Experimental design involves manipulating variables to observe their effect on an outcome, while correlational design observes the relationship between variables without manipulation.

In an experimental design, the researcher controls the independent variable(s) and randomly assigns participants to different levels of the independent variable(s) to observe the effect on the dependent variable. This allows for conclusions about cause-and-effect relationships between variables.

In contrast, in a correlational design, the researcher measures two or more variables to observe their relationship without manipulating them. Correlational studies can be used to describe the strength and direction of a relationship between variables, but they cannot establish causality.

While correlational studies are useful for identifying associations between variables, experimental designs are considered the gold standard for establishing causal relationships.

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Answer:

t = 7

Step-by-step explanation:

\(t - 6 \times 2 + 5 = 0 \\ t - 12 + 5 = 0 \\ t - 7 = 0 \\ t = 7\)

Our surface area is made up of two different shapes: a square and triangles.

Area of a Square = length x length

A(square) = 4 x 4 = 16

Area of a Triangle = 1/2 x base x height

A(triangle) = 1/2 x 4 x 6 = 12

The net has one square and four triangles. We need to use this information so that we find the surface area of the entire figure and not just part of it.

Area of square + 4(area of triangle) = surface area

16 + 4(12) = surface area

16 + 48 = surface area

surface area = 64 cm^2

Answer: 64 cm^2

Hope this helps!

Answer:

£17.51

i used try and error

Answer:

6/5

Step-by-step explanation:

1/5 + (2/5 + 3/5)

solve for the bracket first

1/5 +(2+3/5)

1/5 + (5/5)

1/5 + 1

1+1*5/5

6/5

another method

1/5 + (2/5 +3/5)

open brackets)

1/5 + 2/5 + 3/5

since their denominator are same u can add their numerator

1+2+3/5

6/5

Answer:

8 cubic inches

Step-by-step explanation:

The problem mentions that the box has a volume, which is a measure of the amount of space that the box occupies. Volume is typically measured in cubic units, such as cubic inches, cubic feet, or cubic meters.

Q – {0} is closed for division because for any two non-zero rational numbers a and b, their division a/b is also a non-zero rational number.

The numerator p * s and denominator q * r are both integers, and since q, r ≠ 0, the denominator q * r ≠ 0. Let's consider two non-zero rational numbers, a and b, such that a, b ∈ Q – {0}. We need to show that a/b ∈ Q – {0}.Since a, b are non-zero rational numbers, they can be expressed as a = p/q and b = r/s, where p, q, r, s are integers, and q, s ≠ 0.Now, let's consider the division a/b:a/b = (p/q) / (r/s) = (p/q) * (s/r) = (p * s) / (q * r).

For any two non-zero rational numbers a and b, their division a/b is also a non-zero rational number. Thus, Q – {0} is closed for division. Therefore, a/b = (p * s) / (q * r) is a non-zero rational number, which means a/b ∈ Q – {0}.

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The value of x is 36 and the value of y is 108

The diagram that completes the question is added as an attachment

From the figure, we have:

Internal angles within a transversal = 3x and 2x

The sum of these angles is 180 degrees.

So, we have

3x + 2x =180

Evaluate the sum

5x = 180

Divide both sides by 5

x = 36

Also, we have

y = 3x ---- vertical angles

Substitute x = 36 in y = 3x

y = 3 * 36

Evaluate the product

y = 108

Hence, the value of x is 36 and the value of y is 108

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This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

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Answer:

8+2=10

Step-by-step explanation:

A negative minus a negative equals a positive. So 8-(-2) would go to 8+2

Answer:

8+2

Step-by-step explanation:

when you multiply a negative by another negative inside of the paranthesies it creates a positive

The given series is a complex alternating series. By applying the ratio test, we can show that the series converges. However, it does not have a closed form expression, and therefore we cannot obtain an exact value for the sum of the series.

The given series can be written in sigma notation as:

∑n=0 ∞ 7\((-1)^n(\)2n +1) \(3^(2n +1)\) (2n + 1)!

To test for convergence, we can apply the ratio test, which states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges absolutely. Applying the ratio test to this series, we get:

lim|(7*\((-1)^(n+1)\) * 3\(^(2n+3)\) * (2n+3)!)/((2n+3)(2n+2)(3^(2n+1))*(2n+1)!)| = 9/4 < 1

Therefore, the series converges absolutely.

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it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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The most likely scenario for the representative sample is that it contained more adults than children.

Given that the group of tourists contains 150 adults and 50 children, the representative sample aims to accurately reflect the proportions of adults and children in the entire population of 200 people. Therefore, the representative sample is likely to have a similar ratio of adults to children as the entire group.

Since there are more adults (150) than children (50) in the total population, it is more probable that the representative sample would also have a higher number of adults than children. This outcome ensures that the sample maintains a proportionate representation of the population's age groups.

While it is technically possible for the representative sample to contain all 200 tourists or an equal number of adults and children, these scenarios are less likely. The purpose of a representative sample is to accurately capture the characteristics of the population, and having all 200 tourists in the sample would not provide any new information. Similarly, an equal number of adults and children in the sample would not accurately reflect the population's age distribution. Therefore, the most likely scenario is that the representative sample contained more adults than children, as it aligns with the proportions in the total population.

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The representative sample most likely contained more adults than children. This is because of the higher proportion of adults in the entire group, which would be reflected in a representative and random sample.

The representative sample in this context most likely contained more adults than children. This is because a representative sample is meant to represent the demographic distribution of the entire population. In this case, the group of tourists consists of 200 people, of which 150 are adults and 50 are children. Therefore, adults make up a larger proportion of the population, and this would also be reflected in the representative sample.

When pulling a random sample, each tourist in the group would have an equal chance of being selected. However, since there are more adults in the total group, the probability of randomly pulling an adult is higher. This concept is essential in fields like statistics and surveys, where representative samples are key to making inferences about larger populations.

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Rewritten equation using a common factor is (1) \(\frac{1}{4}xy(x^{2} +3y)\).

Given equation,

\(\frac{1}{4}x^{3}y+\frac{3}{4}xy^{2}\)

Taking  \(\frac{1}{4}xy\)  common,

\(\frac{1}{4}xy(x^{2} +3y)\)

Hence, the equation.

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The two statements that can be used to compare the characteristics of the functions are: 1. Of(x) has an all negative domain. 2. Oh(x) has a range of all negative numbers.

The correct answer to the given question is option A and C.

Among the given options, the two statements that can be used to compare the characteristics of the functions are:

1. Of(x) has an all negative domain.

2. Oh(x) has a range of all negative numbers.

Let's analyze each statement and its implications:

1. Of(x) has an all negative domain: This statement indicates that the function Of(x) only takes on negative values for its input (x). It means that all the values in the domain of Of(x) are negative numbers.

2. Oh(x) has a range of all negative numbers: This statement refers to the output (range) of the function Oh(x) and states that all the values it produces are negative numbers.

By comparing these statements, we can infer that Oh(x) and Of(x) both involve negative numbers in their characteristics.

Specifically, Of(x) has an all negative domain, while Oh(x) has a range consisting of all negative numbers.

However, it's important to note that the remaining statements about the functions sharing the same range or domain are not necessarily true based on the information provided.

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The best way to analyze their data for significance is to Conduct a two-way variable analysis.

As we can see, there is a 2x3 factorial design. Thus, we know that there will be a two level or two way analysis of variables, which is referred to as two way variables analysis. Factorial design is a research method that allows for the inquiry of a main and interaction effects of two or more independent variables on one or more outcome variables (s).

It has been argued that factorial designs represent the true beginning of modern behavioral research and have resulted in a significant paradigm shift in how social scientists conceptualize their research questions and produce objective results (Kerlinger & Lee, 2000).

Factorial design is an experimental methodology that goes beyond standard single-variable experimentation. Previously, social scientists were fixated on single independent variable experiments, foreshadowing the significance of extraneous variables that can attenuate or diminish research findings.

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Answer:

a) 15 minutes

b) Input is temp, output is time.

Step-by-step explanation:

3a) After how many minutes is the temperature 35.

Find 35 on the second row, and see that it takes 15 minutes.

3b) For the inverse function, the input is the temperature, and the output the number of minutes.

The product of the given expression is option C. 6x^3 - 33x^2 + 45x - 6.

The product of two or more numbers implies the final value that would be derived when the numbers are multiplied with each other.

The given expression in the question involves the expansion of brackets.

Thus it can be solved as;

(3x - 6) (2x^2 - 7x + 1)

Considering the first bracket, the first term is 3x and second term is -6. To solve the question thus require to first expand the second bracket by 3x, then by -6 to have;

(3x - 6) (2x^2 - 7x + 1)  = 6x^3 - 21x^2 + 3x - 12x^2 + 42x - 6

                      = 6x^3 - 33x^2 + 45x - 6

Therefore, the product of given brackets is 6x^3 - 33x^2 + 45x - 6. Thus option C.

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easy way to figure out slope: its rise/run (how far up it goes/how far over it goes)

so, the slope for this is 2/3

hope this helps!! :)

Answer:

2/3

Step-by-step explanation:

y2-y1/x2-x1

you can pick any 2 points I choose 2,3 and 5,5

5-3/5-2=2/3

Answer:

I think It's (A)

Step-by-step explanation:

Sorry if it's wrong

The cost of the labor per hour is $115.

The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.

Total charge = cost of total hours worked + cost of parts

$749 = $59 +  cost of total hours worked

Cost of total hours worked = $749 - $59

Cost of total hours worked = $690.

In order to determine the cost per hour of labour, divide the total cost of total hours worked by the hours worked.

$690 / 6 = $115.

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Answer:

115.

Step-by-step explanation:

88 people must be surveyed according to the confidence interval.

According to the statement

we have given that the mean of 152 pounds and a standard deviation of 26 pounds. And we have to find the percentage who weigh more than 180 pounds

So, For this purpose, we know that the

The given variables are which are given in the statement are:

μ = the sample mean = 152 pounds

σ = the standard deviation = 26 pounds

x = the sample value we want to test = 180 pounds

n = the sample size = unknown

MOE = margin of error = 4% = 0.04

Confidence level = 96%

Then

Firstly we find the value of the Z is :

z = (x – μ) / σ

z = (180 – 152) / 26

z = 1.0769 = 1.08

Since we are looking for the people who weigh more than 180 pounds, therefore this is a right tailed z test.

Now, The p value is:

p = 0.1401

Then we can use the formula below to solve for n:

n = z^2 * p * (1 – p) / (MOE)^2

n = 1.08^2 * 0.1401 * (1 – 0.1401) / (0.04)^2

n = 87.82 = 88

Therefore around 88 people must be surveyed.

So, 88 people must be surveyed according to the confidence interval.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

In a certain population, body weights are normally distributed with a mean of 152 pounds 30) and a standard deviation of 26 pounds. how many people must be surveyed if we want to estimate the percentage who weigh more than 180 pounds? assume that we want 96% confidence that the error is no more than 4 percentage points.

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The degrees of freedom for a data table can be calculated using the formula:

Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)

In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:

Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90

Therefore, the degrees of freedom for the given data table is 90.

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