As each person entered a theatre, the manager counted how many of the 105 people had popcorn and how many had a drink. She found that out of 84 people that had popcorn, only 10 did not have a drink. Six people walked in without popcorn or a drink. Construct a two-way table summarizing the results. ​

Answer:i think it is 7/3

Step-by-step explanation:

Answer:

f(x)= x^2 - 2, the one in red.

Step-by-step explanation:

To move a quadratic function up/down, you change the value at the very end of the formula.

So instead of f(x)= x^2 + 1, you would do f(x)= x^2 - 2, to move it down 3. This would be the one in red.

Answer:

\( {p}^{2} - 13p - 30 \\ \\ {p}^{2} - 15p - 2p - 30 \\ \\ p(p - 15) + 2(p - 15) \\ \\ (p + 2)(p - 15)\)

# Jerry Don is here#

Answer:

\(\displaystyle [p + 2][p - 15]\)

Explanation:

Find two quantities that when differed to 13, they also multiply to 30. Those will be 2 and 15. The TINIER quantity gets the plus sign because the B-value is −13, therefore 15 gets the minus sign, leaving 2 with the plus sign.

I am joyous to assist you at any time.

If people show up at rate of 1 person every minute , then the probability that on a random minute , at least 3 people show up is 0.084  .

The number of people showing up at bar in San Diego during any random minute is a Poisson process with an average rate of 1 person per minute.

Let X = number of people who show up during a random minute.

Then X will  follows a Poisson distribution with parameter λ = 1.

So , probability of at least 3 people showing up in a random minute is:

⇒ P(X ≥ 3) = 1 - P(X < 3)

⇒ 1 - (P(X = 0) + P(X = 1) + P(X = 2))

By using Poisson probability mass function for finding P(X = k) for k = 0,1,2   ;

⇒ P(X = k) = (\(e^{-\lambda}\))×(\(\lambda ^{k}\))/k!

Substituting in λ = 1, we get ;

⇒ P(X = 0) = (\(e^{-1}\))×(\(1 ^{0}\))/0! = 1/e  ;

⇒ P(X = 1) =  (\(e^{-1}\))×(\(1 ^{1}\))/1! =  1/e  ;

⇒  P(X = 2) =  (\(e^{-1}\))×(\(1 ^{2}\))/2! = 1/2e  ;

So, the probability of at least 3 people showing up in a random minute is:

⇒  P(X ≥ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

= 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e)

= 1 - (5/2e)

= 0.083019 ≈ 0.084  .

Therefore , the required probability is 0.084  .

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The given question is incomplete , the complete question is

Your friend sings every Saturday night at your favorite bar in San Diego. During his show, people show up at the rate of 1 person every minute.

What is the probability that on a random minute, at least 3 people show up ?

Answer:

153 cm^2

Step-by-step explanation:

The area is given by

A = b*h

   = 17*9

    =153 cm^2

Answer:

Step-by-step explanation:

A=(b1+b2/2)h

The formula is area= base 1 plus base 2 over 2 times the height.

The two bases are 17 cm.  Let's add that in our formula.

A=(17+17/2)h

17+17= 34.  Since 34 is over 2 in the parentheses, let's simplify that first.

A=(34/2)h

A=(17)h, because 34 divided by 2 is 17

The height, h, is 9 cm.  Let's subsitute that into h.

A=(17)9

17 times 9 equals 153, so the area is 153² cm.  :)

To write this scientific form into standard form, we must get rid of 10^2.

To get rid of 10^2, we will time it into 9.199.

Thus we will get 9.199 *10^2 = 919.9

Hope that helps!

This question is solved by the definition of vertex and point. Therefore, the correct option is A i.e. A vertex can be used to create other geometric shapes, and a point is always part of a shape.

In this question we have to choose appropriate statement that explains the difference between a point and a vertex.

By the definition of point,

A point is simply "a place in space" as defined by four numbers (X, Y, Z, W).

In geometry, a point is a location represented by a dot.

A point does not have any length, width, shape or size, it only has a position. When two distinct points are connected they form a line.

Now the definition of vertex,

Vertex is the point where two or more lines or edges meet to form an angle.

Therefore, the correct option is A i.e. A vertex can be used to create other geometric shapes, and a point is always part of a shape.

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Answer:

B. A point does not have a formal definition, and a vertex is described through undefined terms.

Step-by-step explanation:

Answer:

2⁹

Step-by-step explanation:

Using the rule of Indices:

aⁿ x aˣ = aⁿ⁺ˣ

Hence: 2²⁺³⁺⁴

= 2⁹

Answer:

9

Step-by-step explanation:

Since it is a multiplication problem you would add all of the exponents up.

2^2 * 2^3 * 2^4

2^(2+3+4)

Area of hexagon

Now

area of upper 6 triangles

Total area

Answer:

770 m²

Step-by-step explanation:

The surface area of a regular pyramid comprises the area of the base (regular polygon) and the area of each of the slanted sides (triangles).

Apothem:  The line segment from the center of the regular polygon to the midpoint of one of its sides.

Area of the base

The base of the prism is a regular polygon with 6 sides (hexagon).

\(\textsf{Area of a regular polygon}=\sf \dfrac{1}{2}nsa\)

where:

Given:

Substitute the given values into the formula:

\(\begin{aligned}\implies \textsf{Base area}& =\sf \dfrac{1}{2}\cdot 6 \cdot 12 \cdot 6\sqrt{3}\\ & = \sf 216\sqrt{3}\:m^2\end{aligned}\)

Area of one side

The sides of the regular pyramid are congruent triangles.

\(\textsf{Area of a triangle} = \sf \dfrac{1}{2} \times base \times height\)

Given:

Substitute the given values into the formula:

\(\implies \textsf{Area of a triangle} = \sf \dfrac{1}{2} \times 12 \times 11=66\:m^2\)

Total Surface Area

\(\begin{aligned}\implies \textsf{Total Surface Area} & = \sf base \: area + 6 \times side \: area\\& = \sf 216\sqrt{3}+6 \cdot 66\\& = \sf 216\sqrt{3}+396\\& = \sf 770\:m^2\:(nearest\:whole\:number)\end{aligned}\)

Answer:

3

Step-by-step explanation:

If each packet has 500 grams, and each person eats 100 grams, then one packet will feed five people (500/100=5). Since he will be buying pasta for 12 people, he will need to buy three packets, because 3*500=1500 grams. While there is some extra, buying only two packets would result in not enough pasta.

To measure an overbought or oversold market level, a technical analyst would typically c)use one or more price oscillators.

When assessing whether a market is overbought or oversold, technical analysts often turn to price oscillators. Price oscillators are technical indicators that provide insights into the momentum and potential reversal points in a market. These indicators are derived from price data and offer a visual representation of the relationship between current prices and historical price movements.

Price oscillators, such as the Relative Strength Index (RSI), Stochastic Oscillator, or Moving Average Convergence Divergence (MACD), measure the speed and magnitude of price changes. They help identify when a market has moved too far in one direction, signaling potential reversal or exhaustion. An overbought condition indicates that prices have risen too steeply and may be due for a pullback, while an oversold condition suggests that prices have declined excessively and could potentially rebound.

By analyzing the readings and patterns of these price oscillators, technical analysts can identify overbought or oversold levels. This information helps traders make more informed decisions, such as entering or exiting positions, adjusting risk management strategies, or looking for potential trading opportunities based on anticipated market reversals. However, it is important to note that technical analysis is just one approach to market analysis, and it should be used in conjunction with other forms of analysis and risk management techniques.

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Answer:

63/100

Step-by-step explanation:

0.63 = 63/100

Answer:

3*4=12

Step-by-step explanation:

the answer is 12

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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Answer:

The quotient will be around 7

Step-by-step explanation:

Compatible numbers in division, refers to numbers that can be divided mentally.

27 + 2/3 ÷ 3 + 9/10

27 + 0.67 ÷ 3 + 0.9

27.67 ÷ 3.9

Approximately

28 ÷ 4

=7

Answer:

the sample response is-

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

\(\fbox{3x}\)

Simplify:

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

Combine Like Terms:

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

\(=3x\)

The total number of ways in which the group of seven people can be seated together in a row are 1440.

The group of seven people are attending the movie together and two of them are insisting that they will sit side by side to each other.

Now if all the people were to be seated in any random order then the number of positions would have been seven but now as two people are sitting side by side so we will consider only six positions in which we have to make the combinations.

And as we know that the seven people will be unique and there will be no repetition total number of ways in which the seven can be fitted together in a row is,

= 6 x 5 x 4 x 3 x 2 x 1 x 2

= 1440

It is to be noted that we have multiplied by the number of positions with to because the two people who are sitting together can be seated in two possible ways.

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The function B(x) is an exponential function.

To determine the type of function B(x), we can examine the given values of x and the corresponding values of B(x).

Years (x) B(x)

0             2

1              6

2             18

3             54

4             162

5             486

By analyzing the values, we can observe that the ratio of B(x) to B(x-1) is constant, which indicates an exponential relationship. Let's calculate the ratios:

B(1)/B(0) = 6/2 = 3

B(2)/B(1) = 18/6 = 3

B(3)/B(2) = 54/18 = 3

B(4)/B(3) = 162/54 = 3

B(5)/B(4) = 486/162 = 3

The ratios are all equal to 3, which suggests exponential growth. Therefore, B(x) is an exponential function.

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The probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.

The probability distribution function (PDF) of a discrete random variable includes the following features:

The range of each probability is 0 to 1, inclusive (inclusive means to include zero and one). There is a chance for each occurrence, which is always a number between 0 and 1 inclusive. When a probability gets closer to 1, the likelihood of an event happening rises; conversely, as a probability gets closer to 0, the likelihood of an event happening drops. For instance, if there was no chance of getting into a car accident, this would suggest that it would never happen. You would be entirely safe. If the likelihood is 1, the event will undoubtedly take place.

Therefore, the probability that a discrete random variable equals any of its values is between zero and one, inclusive. The correct option is 'd'.

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Answer:

∠7=22°

Step-by-step explanation:

∠2 and ∠7 are supplementary angles, meaning they add to 90°.

∠2+∠7=90°

substitute ∠2

68°+∠7=90°

∠7=22°

An equivalent decimal, fraction and percent is C) 0.45, 4/5, 45%.

To understand why this is the correct choice, we need to look at how decimals, fractions, and percentages are related. Decimals are just another way of representing fractions, where the denominator is a power of 10. For example, 0.45 is the same as 45/100 or 9/20.

Percentages, on the other hand, are just a way of representing fractions with a denominator of 100. So, 45% is the same as 45/100 or 9/20.

The other options do not have equivalent representations of decimals, fractions, and percentages.

In conclusion, understanding the relationships between decimals, fractions, and percentages is essential to solving problems like these. The key is to remember that they are just different ways of representing the same value, and with a bit of practice, it becomes second nature to recognize equivalent representations.

Therefore, option C shows an equivalent decimal (0.45), fraction (4/5), and percent (45%).

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Answer:

3.454545...   put the bar over the first 45 after the decimal to show that it repeats

Step-by-step explanation:

Have a good day:)

A fraction is a way to describe a part of a whole. The fraction 38/11 can be written as \(3.\overline{45}\).

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given the fraction is 38/11, therefore, if we perform division for the given fraction we will get,

\(\dfrac{38}{11} = 3.45454545.....\)

The bar is kept on the numbers that are repeating, therefore, the bar should be kept over the digits 0.45.

Hence, the fraction 38/11 can be written as \(3.\overline{45}\).

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Answer:

the total time spent on backstroke is 64minutes

Step-by-step explanation:

get the ratio of backstroke then divide it by the total ratio then multiply by 120

(8/8+7)×120

=8×8

=64

Answer: 5 7/12 or 5.8333...

Step-by-step explanation: 3 1/4 + 2/13 = 67/12 = 5 7/12 Brainliest please?

Answer:

1/2 since there's always a fifty-fifty chance.

Answer: 50, 60, less.

Step-by-step explanation: The theoretical probability of the coin landing heads up is 50%

Based on​ Liz's results, the experimental probability of the coin landing heads up is 60%

The theoretical probability is Less  than the experimental probability in this experiment.

Hope this helped have a nice day!

Answer:

A. 1 in 6 jeans or 16.67% or \(\frac{1}{6}\)

B. 15

Step-by-step explanation:

B. \(\frac{1}{6} = \frac{x}{90}\)

If you have any questions feel free to ask in the comments

The recurrence relation of the running time for a recursive algorithm, prove by induction that T(n)=O(nlog

3 /2 + log₃((k + 1)/3))

       = (k + 1)(3/2 + log₃(k + 1) - log₃(3))

To prove by induction that T(n) = O(nlog₃(n)), we will first establish a base case and then assume the hypothesis for n and prove it for n + 1.

Base Case:

For n = 3, T(3) = 2T(3/3) + 3 = 2T(1) + 3 = 2(10) + 3 = 23.

Assumption:

Let's assume that for some k ≥ 3, T(n) ≤ cnlog₃(n) holds for all n ≤ k.

Inductive Step:

Now, we need to prove that T(n) ≤ cnlog₃(n) holds for n = k + 1.

T(k + 1) = 2T((k + 1)/3) + (k + 1)

Using the assumption, we have:

T(k + 1) ≤ 2c((k + 1)/3)log₃((k + 1)/3) + (k + 1)

We can simplify the logarithm using the change of base formula:

log₃((k + 1)/3) = logₓ((k + 1)/3) / logₓ(3)

Let's choose x = (k + 1)/3, so logₓ(3) = 1. Thus, we have:

log₃((k + 1)/3) = logₓ((k + 1)/3)

Substituting this back into the inequality, we get:

T(k + 1) ≤ 2c((k + 1)/3)logₓ((k + 1)/3) + (k + 1)

Expanding further:

T(k + 1) ≤ 2c(k + 1)logₓ((k + 1)/3) / 3 + (k + 1)

       = (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)

Since logₓ((k + 1)/3) is positive and (2c / 3)(k + 1) is also positive, we can simplify the inequality further:

T(k + 1) ≤ (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)

       ≤ (2c / 3)(k + 1)logₓ((k + 1)/3) + (k + 1)logₓ((k + 1)/3)

       = (k + 1)(2c / 3 + logₓ((k + 1)/3))

Now, let's choose c such that 2c / 3 ≥ 1. This ensures that (2c / 3 + logₓ((k + 1)/3)) ≥ 1.

Choosing c = 3/2 satisfies the condition. Therefore, we have:

T(k + 1) ≤ (k + 1)(2c / 3 + logₓ((k + 1)/3))

       ≤ (k + 1)(3/2 + logₓ((k + 1)/3))

       = (k + 1)(3/2 + logₓ((k + 1)/3))

       = (k + 1)(3/2 + log₃((k + 1)/3))  [since x = (k + 1)/3]

By simplifying further, we obtain:

T(k + 1) ≤ (k + 1)(3

/2 + log₃((k + 1)/3))

       = (k + 1)(3/2 + log₃(k + 1) - log₃(3))

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Answer:

x-3 or third option

3 or second option

is not equal to or first option

Step-by-step explanation:

m(n(x)) = ( x - 3)² , n(m(x)) = x² - 3 and m(n(x)) is not equals to n(m(x)).Function composition is not commutative.

" Function is said to be commutative if the order of the function does not change the resultant."

According to the question,

Given,

m(x) = x²

n(x) = x - 3

Therefore,

m(n(x)) = m(x- 3)

            = (x - 3)²                        _____(1)

n(m(x)) =n(x²)

           = x² -3                           _____(2)

For function composition to be commutative

m(n(x)) should be equals to n(m(x))

But by comparing (1) and (2) we get,

(x - 3)² ≠ x² -3  

⇒ m(n(x)) ≠ n(m(x))

Hence, m(n(x)) = ( x - 3)² , n(m(x)) = x² - 3 and m(n(x)) is not equals to n(m(x)).Function composition is not commutative.

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Answer:

v=2 or V=−13

Step-by-step explanation:

Let's solve your equation step-by-step.

v2+11v−26=0

Step 1: Factor left side of equation.

(v−2)(v+13)=0

Step 2: Set factors equal to 0.

v−2=0 or v+13=0v=2 or v=−13

When performing a statistical analysis, we work with sample rather than the entire population because, we often lack manpower or resources to gather data. So option D is correct.

Statistical work is usually done with a sample. This is done because, if we try to include and collect data from the whole population, it will be very time consuming and need more manpower and resources. It will become a much tedious process.

So a sample which is representative of the whole population is needed. Selecting a sample size and determining the sample must follow certain criteria. They are population parameters we want to estimate, Cost of sampling, Variability of the population, how hard is it to collect data and how precise we want the final estimates to be. All these are taken into consideration and a sample that properly represent the population is determined without bias.

So, option D is the correct answer.

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