Question: A consumer group claims that a pizza delivery store takes longer to deliver their pizzas than the advertised average time of 25 minutes.

Answer: 4.71

Step-by-step explanation:

Answer:

y-6=-2(x+2)

Step-by-step explanation:

Based on the given probabilities:

Events A and B are independent.

Events B and C are mutually exclusive.

Events C and A are independent.

To determine whether pairs of events are independent or mutually exclusive, we need to analyze their conditional probabilities.

Pair A and B:

P(A) = 0.26, P(B) = 0.5, and P(A|B) = 0.26. The fact that P(A|B) is equal to P(A) suggests that events A and B are independent. This means that knowing the occurrence of event B does not affect the probability of event A.

Pair B and C:

P(B) = 0.5, P(C) = 0.45, and P(B|C) = 0. The fact that P(B|C) is equal to 0 implies that events B and C are mutually exclusive. This means that if event C occurs, event B cannot occur, and vice versa.

Pair C and A:

P(C) = 0.45, P(A) = 0.26, and P(C|A) = 0.26. The fact that P(C|A) is equal to P(C) suggests that events C and A are independent.

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Complete question is:

Given the following information about events A, B, and C, determine which pairs of events, if any, are independent and which pairs are mutually exclusive.

P(A)= 0.26

P(B)= 0.5

P(C)= 0.45

P(A|B)= 0.26

P(B|C)=0

P(C|A)=0.26

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

The 98% confidence interval for the true standard deviation of the doorknob diameters is approximately (0.000341, 0.001393) inches.

To construct a confidence interval for the true standard deviation of the doorknob diameters, we can use the chi-square distribution. Since the sample standard deviation is used to estimate the population standard deviation, we can use the chi-square distribution to construct the confidence interval.

The formula for the confidence interval for the standard deviation is:

CI = [(n - 1) * s² / χ²(α/2, n - 1), (n - 1) * s² / χ²(1 - α/2, n - 1)],

where:

CI = Confidence Interval,

n = Sample size (23 in this case),

s = Sample standard deviation (0.025 inch in this case),

χ²(α/2, n - 1) = Chi-square value at α/2 with (n - 1) degrees of freedom,

χ²(1 - α/2, n - 1) = Chi-square value at 1 - α/2 with (n - 1) degrees of freedom,

α = Confidence level (98% in this case).

First, we need to find the critical chi-square values. Using a chi-square distribution table or a calculator, we can find the values for χ²(α/2, n - 1) and χ²(1 - α/2, n - 1).

For a 98% confidence level and (n - 1) = 22 degrees of freedom, χ²(α/2, 22) = 9.925 and χ²(1 - α/2, 22) = 40.483.

Now we can substitute these values into the confidence interval formula:

CI = [(23 - 1) * (0.025)^2 / 40.483, (23 - 1) * (0.025)^2 / 9.925],

CI = [0.000341, 0.001393].

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Answer:

Dylan can plant maximum 8 plants.

Number of marigolds in each flower box  \(=8\)

Number of periwinkles in each flower box  \(=9\)

Step-by-step explanation:

Number of marigolds = 64

Number of periwinkles = 72

To find the maximum number of flower boxes Dylan can plant, find H.C.F of 64 and 72.

\(64=2^6\\72=2^3\,\,3^2\)

So,

H.C.F(64, 72) = \(2^3=8\)

That is Dylan can plant maximum 8 plants.

Number of marigolds in each flower box = \(\frac{64}{8}=8\)

Number of periwinkles in each flower box = \(\frac{72}{8}=9\)

Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24

We should know that BODMAS is a mathematical approach which means

In each of the expressions, we must follow the approach

1)    \(\frac{(6+3)^{2} }{3*9}\)

Simplifying this we have 9²/9=81/9

=9

2)  \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)

Using BODMAS we have

(9-12)/4/40

-3÷1/9

⇒-3*4

=-12

(3)   \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)

Using BODMAS we have

(4.5+2*6.25-6)/32+9

⇒(4.5+12.5-6)/41

=11/41=0.27

4     (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))

Using BODMAS we have  

(3.5+16-6.25)/10.5-66

Simplifying

(13.25)/-55.5

=0.24

Therefore, the values when simplified are  (1) 9, (2)-12, (3) 0.27, and (4) 0.24

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The spider walked 23.6 inches farther on her return walk.

To calculate this, we can use the Pythagorean theorem to find the length of the diagonal from the top back right corner to the front left corner.

where a = 8 inches (height), b = 15 inches (length), and c is the length of the diagonal.

c² = 8² + 15²

c² = 64 + 225

c² = 289

c = √(289)

c = 17

So, the length of the diagonal is 17 inches. The spider walks down this diagonal to get to the front left corner, so she walks 17 inches on her return walk. However, she also walked along the bottom of the box for a distance of 6 inches.

Therefore, the spider walked 17 + 6 = 23 inches farther on her return walk. Rounded to the nearest tenth of an inch, the answer is 23.6 inches.

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Answer:

The rule of the transformation is 6 units up and 3 units to the right \(T_{(3, \ 6)}\) and an horizontal dilation of 2 as well as a vertical dilation of 4.

Step-by-step explanation:

The given coordinates of EFG and E'F'G' from the chart are;

E(3, 2)

F(9, 5)

G(9, 2)

E'(6, 8)

F'(18, 20)

G'(18, 8)

Therefore, we have, given that the y-coordinates of E and G are the same, the length of segment EG = 9 - 3 = 6 units

Similarly, given that the x-coordinates of F and G are the same, the length of segment FG = 5 - 2 = 3 units

The length of segment FE =  \(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\) which gives;

Length from E(3, 2) to F(9, 5) = \(l = \sqrt{\left (5-2 \right )^{2}+\left (9-3 \right )^{2}} = 3 \cdot \sqrt{5}\)

For similarly oriented E'F'G', we have;

E'G' = 18 - 6 = 12

F'G' = 20 - 8 = 12

E'F' = 12·√2

Therefore, the transformation is 6 units up and 3 units to the right and an horizontal dilation of 2 as well as a vertical dilation of 4.

Answer:

The Mona Lisa

Step-by-step explanation:

Da Vinci?

Answer:

I think you have it right!

Step-by-step explanation:

if not then try to add each angle to see if you get 288

The number of tickets that can be bought with $40 is 4 tickets

It costs $9.50 to buy 1 tickets

The number of tickets that will be bought with $40 can be calculated as follows

= 40/9.50

= 4.2

Hence 4 tickets will be bought with $40

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Step-by-step explanation:

You need solve for y:

\(y-4=3(x-1)\\y-4=3x-3\\y=3x-3+4\\\therfore \quad y=3x+1\)

now, evaluate in each x's value, for example:

\(y=3(-2)+1\\\therefore \quad y=-5\)

This, is the value of \(y\), when \(x=-2\)

Therefore:

\(\begin{tabular}{|c|c|} \cline{0-1}x & y \\ \cline{0-1}-2 & -5 \\ -1 & -2\\ 0& 1 \\ 1& 4\\ 2& 7\\ \cline{0-1}\end{tabular}\)

\(\text{-B$\mathfrak{randon}$VN}\)

Answer:

Yes

Step-by-step explanation:

-1 = -1

(-1)(-1) = 1

(-1)(-1)(-1)= -1

Answer:

-1 x -1 x -1

= +1 x -1

= -1

Step-by-step explanation:

Please mark me as the brainliest

Answer:

4/9

Step-by-step explanation:

He ate 1/3 of what he found. 2/3 or the 2/3 were left in the fridge.

2/3 · 2/3 = 4/9

Fourth ninths of the pizza is in the fridge.

Answer:

Rewrite as an equation.

log

9(729)=x

Rewrite

log

9(729)=x

in exponential form using the definition of a logarithm. If

x and b

are positive real numbers and b

does not equal 1, then log b(x)=y is equivalent to by=x. 9x=729

Create expressions in the equation that all have equal bases.

(32)x=3

Rewrite

(32)x as 32x. 32x=36

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

2 x 3=6

Solve for

x.x=3

The variable  x

is equal to

3.3

Step-by-step explanation:

The expression not equal to 729 is 6³

Exponents, also known as powers, are values that show how many times to multiply a base number by itself. For example, 43 is telling you to multiply four by itself three time:4³= 4 × 4 × 4 = 64

Given here  3⁶= 3×3×3×3×3×3

                        = 729

                    6³ = 6×6×6

                         = 216

                    9³ = 9×9×9

                         = 729

Hence 6³ is the expression not equal to 729

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Answer:

31-24x/2x-5

Step-by-step explanation:

multiply: (16-24x+15)/(2x-5)

calculate: (31-24x)/(2x-5)

write the division as a fraction:  31-24x/2x-5

Ms. Lee would save $40.19 per month by buying Brand B. To calculate this, we must first find out how much each brand costs to operate each month.

Brand cost is the amount of money invested in a brand or product in order to create, maintain, and grow its value. This includes the costs associated with advertising and promotion, research and development, marketing, and product design. Brand cost also includes activities such as creating and maintaining a good corporate image, creating brand loyalty, and expanding the customer base.

For Brand A, this would be $75.54 (442 kW x $0.17/kW).
For Brand B, this would be $67.35 (397 kW x $0.17/kW).
We can then subtract the cost for Brand B from the cost for Brand A to get the amount of money Ms. Lee would save each month.
This would be $40.19 ($75.54 - $67.35).

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A partial fraction calculator is a tool used to decompose a rational function into simpler fractions, known as partial fractions.

A partial fraction calculator is a tool used to decompose a rational function into simpler fractions. It is commonly used in algebra and calculus to simplify complex expressions and solve equations. The partial fraction calculator takes a rational function as input and breaks it down into simpler fractions that can be more easily integrated or manipulated. This process involves finding the partial fraction decomposition of the rational function by factoring the denominator into linear and quadratic factors and then solving for the coefficients of the partial fractions. This calculator can be useful for students, engineers, and anyone working with complex algebraic expressions.

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The loan option with the lowest total value is the one with simple interest, which amounts to $57,247.50. Therefore, the small business owner would be better off choosing the loan with Simple interest, as it results in a lower overall cost compared to the other options.

Part A: To calculate the total value of the loan with simple interest, we use the formula: Total Value = Principal + (Principal * Rate * Time).

Here, the Principal (P) is $50,000, the Rate (R) is 4.35% or 0.0435, and the Time (T) is 3 years and 4 months, which is equivalent to 3.33 years.

Plugging the values into the formula, we have:

Total Value = $50,000 + ($50,000 * 0.0435 * 3.33)

Total Value ≈ $50,000 + $7247.5

Total Value ≈ $57,247.50

Part B: To calculate the total value of the loan with quarterly compounded interest, we use the formula: Total Value = Principal * (1 + (Rate / n))^(n * Time).

Here, n represents the number of compounding periods per year, which is 4 (quarterly compounding).

Plugging the values into the formula, we have:

Total Value = $50,000 * (1 + (0.0435 / 4))^(4 * 3.33)

Total Value ≈ $50,000 * (1.010875)^13.32

Total Value ≈ $50,000 * 1.156977

Total Value ≈ $57,848.85

Part C: To calculate the total value of the loan with continuously compounded interest, we use the formula: Total Value = Principal * e^(Rate * Time).

Here, e represents the mathematical constant approximately equal to 2.71828.

Plugging the values into the formula, we have:

Total Value = $50,000 * e^(0.0435 * 3.33)

Total Value ≈ $50,000 * e^(0.145005)

Total Value ≈ $50,000 * 1.15514

Total Value ≈ $57,757.00

Part D: Comparing the total values of the loans, we find that:

- The total value with simple interest is $57,247.50.

- The total value with quarterly compounded interest is $57,848.85.

- The total value with continuously compounded interest is $57,757.00.

Based on these calculations, the loan option with the lowest total value is the one with simple interest, which amounts to $57,247.50. Therefore, the small business owner would be better off choosing the loan with simple interest, as it results in a lower overall cost compared to the other options.

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the statement that approximately 15.87% of students paid more than Jane for textbooks, it means that out of a given group of students, around 15.87% of them paid a higher price for textbooks compared to what Jane paid.

To find the percentage of students who paid more than Jane for textbooks, we need to calculate the area under the normal distribution curve to the right of Jane's value. Here are the steps:

Step 1: Standardize Jane's value using the z-score formula:

z = (x - μ) / σ

Where:

x = Jane's value ($550)

μ = Mean of the distribution ($500)

σ = Standard deviation of the distribution ($50)

z = (550 - 500) / 50

z = 50 / 50

z = 1

Step 2: Find the percentage of students who paid more than Jane by looking up the z-score in the standard normal distribution table or using a calculator. The standard normal distribution table provides the percentage of the area under the curve to the left of a given z-score. Since we want the percentage of students who paid more than Jane, we subtract the percentage from 1. Using the z-score of 1, we can find the percentage as follows:

Percentage = (1 - Area to the left of z-score) * 100

Using the standard normal distribution table or a calculator, we find that the area to the left of a z-score of 1 is approximately 0.8413.

Percentage = (1 - 0.8413) * 100

Percentage ≈ 15.87%

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Answer:

2 1/2

Step-by-step explanation:

5/6÷ 2/6=2 1/2 I SO MY ANSWER IS 2 1/2

Emma is asking an empirical question so that she she can test her hypothesis

What is a Empirical hypothesis?

Something empirical is something based on real evidence .

Evidence that is verifiable by observation as opposed to something that is true in theory or by some kind of reckoning or logic

A hypothesis is a theory that is put forward for further examination to see if it is correct. It is not a call but it is an explanation that fits the available evidence so , An empirical hypothesis is a theory that is based on real evidence and experience but that has not been proven yet

So, According to the question

Emma wants to know if long distance relationship in college have a greater likelihood of ending than a relationship that are not long distance and for that she creates a questionnaire and the crowds 100 student from our school to complete the questionnaire so she can test her hypothesis

Here, Emma is asking an empirical questions ( question about experience) and will conclude the test based on these 100 students experience and thoughts.

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At the hot wings restaurant, a fraction of 5/9 of the patrons ordered the inferno hot wings, and 1/8 of those patrons passed out from the intensity of the sauce. The fraction of patrons who passed out are 5/72.

Given that 5/9 of the patrons ordered the inferno hot wings, this fraction represents the portion of patrons who were exposed to the intense sauce. Out of this group, 1/8 passed out due to the sauce's intensity.

To find the fraction of patrons who passed out, we multiply the fractions 5/9 and 1/8:

(5/9) * (1/8) = 5/72.

Therefore, the fraction 5/72 represents the proportion of patrons who passed out from the intensity of the inferno hot wing sauce.

This information is important for understanding the effects of the spicy sauce and can be used by the restaurant to gauge the intensity of the dish and potentially make adjustments to cater to different preferences. Additionally, it provides insights into the customer experience and can influence future menu decisions or considerations regarding the heat levels of their offerings.

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Answer:

1

Step-by-step explanation:

Answer:

it is x

Step-by-step explanation:

Answer:

7/50

Step-by-step explanation:

Answer:

the length is 12 inches and the width is 9 inches