2l of punch for 15 people how many litre of punch for 90 people

Using the normal distribution, there is a 0.209 = 20.9% probability that the commute on a particular game day exceeds the commute on a particular non-game day.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Researching the problem on the internet, on game days, the parameters are:

\(\mu = 20, \sigma = 9\)

On non-game days, the parameters are:

\(\mu = 12, \sigma = 4\)

For the distribution of differences, the mean and the standard deviation are given by:

The desired probability is P(X > 0), which is one subtracted by the p-value of 0, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (0 - (-8))/9.85

Z = 0.81

Z = 0.81 has a p-value of 0.7910

1 - 0.7910 = 0.209 = 20.9% probability that the commute on a particular game day exceeds the commute on a particular non-game day.

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a) The z-score for a shoe size of 7.5 is approximately -0.4.

b) The shoe size corresponding to a z-score of 1.3 is approximately 9.625.

c) The z-score for a shoe size of 9 is approximately 0.8.

d) The shoe size corresponding to a z-score of -1.5 is approximately 6.125.

e) To find the shoe size representing the 80th percentile, we need to determine the corresponding z-score using a z-score table or calculator and then use the formula x = (z * standard deviation) + mean.

a) To calculate the z-score, we use the formula: z = (x - mean) / standard deviation. For a shoe size of 7.5, the z-score would be: z = (7.5 - 8) / 1.25 = -0.5 / 1.25 = -0.4.

b) To find the shoe size with a z-score of 1.3, we rearrange the formula: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (1.3 * 1.25) + 8 = 1.625 + 8 = 9.625.

c) For a shoe size of 9, the z-score is: z = (9 - 8) / 1.25 = 1 / 1.25 = 0.8. The percentile can be found using a z-score table or calculator.

d) With a z-score of -1.5, we can use the same formula as before: x = (z * standard deviation) + mean. Plugging in the values, we get: x = (-1.5 * 1.25) + 8 = -1.875 + 8 = 6.125. The percentile can be found using a z-score table or calculator.

e) To find the shoe size representing the 80th percentile, we can use the inverse of the z-score formula: x = (z * standard deviation) + mean. The z-score corresponding to the 80th percentile can be found using a z-score table or calculator.

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Answer:

\(\displaystyle x=\frac{y}{12}\)

Step-by-step explanation:

We are given the equation:

\(y=4x+8x\)

And we want to solve it for x.

We can combine like terms on the right-hand side:

\(y=12x\)

We can now divide both sides by 12:

\(\displaystyle x=\frac{y}{12}\)

In conclusion:

\(\displaystyle x=\frac{y}{12}\)

Answer:

\(\Huge \boxed{ x=\frac{y}{12} }\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(y=4x+8x\)

Combining like terms.

\(y=12x\)

Dividing both sides by 12.

\(\displaystyle \frac{y}{12} =x\)

\(\rule[225]{225}{2}\)

Answer: column A= temperature column B= wind speed. Label A= wind speed label B= Temperature

Step-by-step explanation:

Answer:

Column A =  

✔ temperature

Column B =  

✔ wind speed

Label A =  

✔ wind speed

Label B =  

✔ temperature

Step-by-step explanation: Just did it in the assignment of edge :)

Answer:

So she earned 148 dollars and 50 cents or 148.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5\sqrt{2} + \sqrt{10}

Step-by-step explanation:

I assume the exp as \(\sqrt{5} (\sqrt{10} + \sqrt{2} )\)

\(\sqrt{50 } + \sqrt{10}\)

\(\sqrt{25*2} +\sqrt{10}\)

\(5\sqrt{2} + \sqrt{10}\)

The simplified form of the given expression \(\sqrt{5} (\sqrt{10} +\sqrt{2} )\) will be  \(5\sqrt{2} + \sqrt{10}\).

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

The given expression is as follows;

\(\sqrt{5} (\sqrt{10} +\sqrt{2} )\\\\\sqrt{5} \times \sqrt{10} +\sqrt{5} \times\sqrt{2} \\\\\sqrt{25 \times 2} +\sqrt{10}\\\\5\sqrt{2} +\sqrt{10}\)

Hence, the simplified form of the given expression is \(5\sqrt{2} + \sqrt{10}\).

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Answer:

B. Reflection over the x-axis

The transformation that was applied to this boomerang is Reflection over the x-axis.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

We have,

A Figure in the graph.

A translation simply shifts a shape up, down, or from side to side without altering the object's overall appearance.

The following equation can be used to reflect a point or line segment: The point (x,y) will be reflected to from the point (x,−y)  that is being mirrored over the x-axis.

The y-coordinate stays the same when a point is reflected across the y-axis, but the x-coordinate is assumed to be the additive inverse.

A transformation known as rotation about the origin revolves or spins a figure (such as a triangle) around the origin point.

Thus, the transformation here is Reflection over the x-axis.

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Decomposed relations  are i. R = R1 ∪ R2 ∪ R3, where R1 = (ABC), R2 = (BD), and R3 = (CA) , ii. R = R1 ∪ R2 ∪ R3 ∪ R4 ∪ R5, where R1 = (ABCE), R2 = (ACD), R3 = (BEDC), R4 = (CD), and R5 = (EAB).

To decompose the given relations into Boyce-Codd Normal Form (BCNF), we need to analyze the functional dependencies and ensure that each functional dependency is fully satisfied.

i. R = (ABCD), F = {AB→C, B→D, C→A}

We observe that the functional dependencies in F are:

1. AB→C

2. B→D

3. C→A

To achieve BCNF, we need to decompose R based on these dependencies. Let's analyze each dependency:

1. AB→C: Since AB is a candidate key (a minimal superkey), we create a new relation, R1 = (ABC), and remove AB→C from F.

2. B→D: As B is not a candidate key, we create another relation, R2 = (BD), and remove B→D from F.

3. C→A: C is not a candidate key, so we create a third relation, R3 = (CA), and remove C→A from F.

The final decomposition is R = R1 ∪ R2 ∪ R3, where R1 = (ABC), R2 = (BD), and R3 = (CA). All functional dependencies are now fully satisfied in BCNF.

ii. R = (A, B, C, D, E), F = {AB→CE, AC→D, BE→CD, C→D, E→AB}

We analyze the functional dependencies in F:

1. AB→CE

2. AC→D

3. BE→CD

4. C→D

5. E→AB

To achieve BCNF, we decompose R based on these dependencies:

1. AB→CE: We create a new relation, R1 = (ABCE), and remove AB→CE from F.

2. AC→D: We create R2 = (ACD), and remove AC→D from F.

3. BE→CD: We create R3 = (BEDC), and remove BE→CD from F.

4. C→D: We create R4 = (CD), and remove C→D from F.

5. E→AB: We create R5 = (EAB), and remove E→AB from F.

The final decomposition is R = R1 ∪ R2 ∪ R3 ∪ R4 ∪ R5, where R1 = (ABCE), R2 = (ACD), R3 = (BEDC), R4 = (CD), and R5 = (EAB). All functional dependencies are now fully satisfied in BCNF.

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Answer:

8.6 × 10-9

Step-by-step explanation:

Answer:

Total amount (A) = $3,955

Step-by-step explanation:

Given:

Initial deposit (P) = $3,500

Rate of interest  (r) = 3.25%

Number of years (t) = 4

Find:

Total amount (A)

Computation:

Simple interest = (p)(r)(t)

Simple interest =  (3,500)(3.25)(4)

Simple Interest = $455

Total amount (A) = Initial deposit (P) + Simple Interest

Total amount (A) = 3,500 + 455

Total amount (A) = $3,955

Answer:

Option D

Step-by-step explanation:

Going through the choices will help determine which option best simulates the random selection of a voter.

Flip a coin three times, and assign outcomes as follows: HHH, HHT, or HTH = Nava; HTT, THH, or THT = Jensen; TTH = Moretti, TTT = Chang.

Given that it is a random selection of the 4 candidates, it means the probability of choosing either one of them is equivalent. From the option, it can be found that Nava and Jensen have a higher chance of being voted than Moretti and Chang, which would not fit the criteria of being randomly selected.

Roll a number cube, and assign outcomes as follows: 1 or 2 = Nava, 3 or 4 = Jensen, 5 = Moretti, 6 = Chang.

Again, Nava and Jensen have a higher chance of being voted than Moretti and Chang. Therefore, this is not the correct option to simulate random selections of the 4 candidates.

Roll a number cube, and assign outcomes as follows: 1, 2, or 3 = Nava, 4 = Jensen, 5 = Moretti, 6 = Chang.

Nava has a higher chance of being voted, so this option does not fit the stimulation.

Flip a coin twice, and assign outcomes as follows: HH = Nava, HT = Jensen, TH = Moretti, TT = Chang

In this scenario, all 4 candidates have an equal chance of being voted, so this option would best simulate the random selection of a voter from the city.

Hope this helps :)

The common ratio of the sequence x, 2x², 4x³, 8x⁴, 16x⁵, when x = 0, is also 0.

To find the common ratio of the sequence x, 2x², 4x³, 8x⁴, 16x⁵, we can observe the pattern and calculate the ratio between consecutive terms.

The general term of the sequence is given by aₙ = 2^(n-1) * xⁿ, where n represents the position of the term in the sequence.

Let's calculate the ratio between the second and first terms:

R₁ = (2x²) / x = 2x

Now, let's calculate the ratio between the third and second terms:

R₂ = (4x³) / (2x²) = 2x

Similarly, for the fourth and third terms:

R₃ = (8x⁴) / (4x³) = 2x

And for the fifth and fourth terms:

R₄ = (16x⁵) / (8x⁴) = 2x

From these calculations, we can see that the ratio between consecutive terms, regardless of the position 'n', is always 2x.

As a result, when x = 0, the common ratio of the sequence x, 2x2, 4x3, 8x4, and 16x5 is also 0.

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It is been proved that (a² + b²)(c² + d²) = (ac + bd)² + (bc - ad)².

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
(a)

(a² + b²)(c² + d²) = (ac + bd)² + (bc - ad)²

LHS,
= a²(c² + d²)  + b² (c² + d²)
= a²c² + a²d² + b²c² + b²d²
= a²c² + b²d² + 2abcd + b²c² + a²d² - 2abcd
= (ac + bd)² + (bc - ad)²
= RHS

Thus, it is been proved that (a² + b²)(c² + d²) = (ac + bd)² + (bc - ad)².

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Answer:

See Explanation

Step-by-step explanation:

Note: This question is more of an opinion. The answers I will provide will be base on my personal encounters with the given quantities.

Solving (1): Estimates of the given quantities

To make estimates, you employ the use of measuring device of each quantity.

For instance:

Time ----- Clock

Angle ---- Protractor

Temperature ---- Thermometer

Rate ---- This solely depend on the rate that is being measured (e.g. speedometer for speed)

Solving (2): Estimate and Actual measurement

In my case, the answer is yes because I have mastered the use of each device.

Solving (3): Difficulties

Some of the difficulties that may be encountered when taking estimates are:

- Using the wrong tools

The absence of the right measuring devices or alternate devices will definitely not give an accurate result

(e.g it will be difficult to measure an angle with a ruler)

- Unstable environments

Stable environments give accurate results.

(e.g It may be difficult to measure the speed of a car when it does not move at a constant speed; In this case, you may opt for the instantaneous speed)

- Poorly calibrated or un-calibrated devices

When a device is not calibrated properly, the device will give wrong measurements.

The blueberry muffins made by baker on monday is 40% of the total muffins made by the baker .

A quantity or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. In order to determine the percentage of a number, divide it by its sum and then multiply the result by 100. The proportion thus refers to a component per 100. The word percent indicates a percentage of 100. The word "percent" denotes "per 100." The letter "%" stands for it.

Now in the given question,

Total number of muffins baker made = 90

Blueberry Muffins made by baker on monday = 36

Prcentage of blueberry muffins out of total muffins  \(=\frac{36*100}{90} = 40 %\)

So , the Blueberry Muffins were 40% of the total muffins baker made.

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Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Answer:

This is what I found, but not sure if it's right.

The standard deviation of the annual cost of maintaining a building in Accra, after introducing a 30% tax on all associated items, can be calculated using the concept of standard deviation and the given information.

The standard deviation is a measure of the dispersion or variability of a dataset. To calculate the standard deviation of the annual cost of maintaining a building in Accra after the tax is introduced, we need to consider the effect of the tax on the original distribution.

Given that the original average annual cost is 200 Cedis with a variance of 260 Cedis, we can calculate the standard deviation as the square root of the variance. Therefore, the original standard deviation is √260 Cedis.

When a 30% tax is introduced, all items associated with building maintenance become 30% more expensive. This means that the original costs will be increased by 30%. To calculate the new standard deviation, we need to multiply the original standard deviation by 1.3, since a 30% increase is equivalent to multiplying by 1.3.

Hence, the standard deviation of the annual cost of maintaining a building in Accra, after introducing the 30% tax, is √260 Cedis × 1.3, which can be further simplified or approximated based on the desired level of precision.

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Answer:

A) 60 degrees

Step-by-step explanation:

Answer:

Slope= 7/4

y-intercept = (0, -10)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify

y = 7/4x - 10

↓ Compare to y = mx + b

Slope m = 7/4

y-intercept b = -10

Answer:

slope = 7/4

y-intercept = -10

Step-by-step explanation:

slope intercept form :

y = mx + b

m = slope

b = y-intercept

The probability that the next coin flip will yield a head is 50%, as each coin flip has an equal chance of landing either heads or tails.

Probability is an incredibly important concept to understand in our everyday lives. Understanding probability helps us make informed decisions about the chances of something happening. For example, when playing a game of chance, understanding probabilities can give us a better idea of the likelihood of winning or losing. Knowing the probability of an event happening can also help us make decisions in other areas of life, such as investing.

In the context of coin flipping, it is important to remember that the probability of a coin landing on heads or tails is always 50%. This means that no matter how many times the coin is flipped and no matter what the previous outcome, the probability of the next flip being heads or tails remains the same. This concept is the basis of probability theory, which can be applied to many other areas of life.

Understanding probabilities is also useful in understanding the chances of certain events occurring in the world. For example, understanding the probability of an earthquake happening in a certain area can help us make decisions about where to live or how to prepare for a potential disaster. Similarly, understanding the probability of a successful business venture can help us decide whether or not to invest in it.

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Answer:

Step-by-step explanation:

Answer:

A) AAA

Step-by-step explanation:

This proved similarity, but not necessarily congruency.  If the angles are the same in a triangle, they could be smaller and larger versions of themselves.  They will have the same shape, but not necessary the same size.  The side lengths will be proportional.  If the scale factor between the two triangles is 1 , then the triangles would be congruent, but they could have any scale factor greater or less than 1 too.

Answer:

25,132.74 miles

Step-by-step explanation:

Hello!

We are basically asked to find the circumference of the Earth's cross-section.

Circumference: \(C = 2\pi r\)

We can replace 2r with the diameter, because the diameter is 2 times the radius.

Multiply the Diameter by pi:

It is around 25,132.74 miles around.

Answer:

the answer is 4.7

Step-by-step explanation:

you calculate the height and the weight and it will equal 4,712.388980, to the nearest tenth equals 4.7

hope it helps!

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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