Sally prepaid 13 the price of a ticket to a concert. The amount she prepaid was $15.

What was the total price of the ticket?


$15


$30


$45


$60

Answer:

x = 6

y = 24

z = there is no z?

Step-by-step explanation:

All angles of a polygon add up to 360 degrees

The 2 parellel lines on top and bottom mean that there are 2 right angles on the left side

3y + 18 = 90

3y = 72

y = 24

15x + 30 + 10x = 180

25x = 150

x = 6

Answer:

If given two equations in a system, what are the three possible outcomes of the system? Describe what would have to happen to generate each of the three outcomes. Outcome: What does the graph look like?

Step-by-step explanation:

The correct answer is option OC. 20(cos 30° + i sin 30°).

To find the product of the complex numbers Z₁ and Z₂, we can multiply their magnitudes and add their angles.

Z₁ = 5(cos 20° + i sin 20°)

Z₂ = 4(cos 10° + i sin 10°)

Let's compute the product:

Z = Z₁ * Z₂

= 5(cos 20° + i sin 20°) * 4(cos 10° + i sin 10°)

= 20(cos 20° + i sin 20°)(cos 10° + i sin 10°)

Using the product-to-sum identities for trigonometric functions, we have:

Z = 20[cos(20° + 10°) + i sin(20° + 10°)]

= 20(cos 30° + i sin 30°)

The product of the complex numbers Z₁ and Z₂ is 20(cos 30° + i sin 30°).

Therefore, the correct answer is option OC. 20(cos 30° + i sin 30°).

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Answer:

part A . 61.5$

Step-by-step explanation:

total amount = $2400+$385-$940

= 1845$

average change per day = 1845÷

30

answer is 61.5

Answer:

The slope of the graph is -3

Step-by-step explanation:

do rise over run.

3 down, 1 right

Answer:

1.03921568627

Step-by-step explanation:

Answer:

180 degrees!

Step-by-step explanation:

Hope this helps, Have a good day!

The experimental probability of spinning of B or C is 1/3.

In the given question, the spinner is spun 75 times.

We have to find the experimental probability of spinning of B or C.

The given data is:

Outcome          A              B              C              D

Frequency       20             11             14             30

Total frequency = 20 + 11 + 14 + 30

Total frequency = 75

The probability of spinning B = Frequency of B/Total Frequency

The probability of spinning B = 11/75

The probability of spinning C = Frequency of C/Total Frequency

The probability of spinning C = 14/75

Now the experimental probability of spinning of B or C;

P(B or C) = P(B) + P(C)

P(B or C) = 11/75 + 14/75

P(B or C) = (11 + 14)/75

P(B or C) = 25/75

P(B or C) = 1/3

Hence, the experimental probability of spinning of B or C is 1/3.

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840 are  4-letter passwords can be formed using the letters by permutation .

What are some examples of permutation?

We are to count all possible 4-letter passwords that can be generated from the letters a, b, c, d, e, f, g .

There are 7 letters in total.

      n = 7 r = 4

 P(n , r ) = 7!/( n - r )!

  P( 7 ,4 ) = 7!/( 7 - 4)!

              = 7!/3!

             = 7 * 6 * 5 * 4 * 3 * 2 * 1/3!

              = 7 * 6 * 5 * 4

               = 840

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Answer:

$16.79

Step-by-step explanation:

20 - 3.21 = 16.79

The 95% confidence interval for the true proportion of adults who prefer coffee is approximately 0.6598 to 0.7402.

There is a 95% confidence that the true proportion of adults who prefer coffee is between 0.6598 and 0.7402.

We have,

Given:

Sample size (n) = 500

Number of adults who prefer coffee (x) = 350

First, calculate the sample proportion (p-hat):

p-hat = x/n = 350/500 = 0.7

Next, we need to find the critical value associated with a 95% confidence level. Since we are dealing with a proportion, we can use the normal distribution approximation.

For a 95% confidence level, the critical value is approximately 1.96.

Now, calculate the standard error (SE) of the proportion:

SE = √((p-hat * (1 - p-hat)) / n)

SE = √((0.7 * (1 - 0.7)) / 500) = 0.022

The margin of error (ME) is obtained by multiplying the critical value by the standard error:

ME = 1.96 * 0.022 = 0.043

Finally, construct the confidence interval by subtracting and adding the margin of error to the sample proportion:

Lower bound = p-hat - ME

Upper bound = p-hat + ME

Lower bound = 0.7 - 0.043 ≈ 0.657

Upper bound = 0.7 + 0.043 ≈ 0.743

Therefore,

The 95% confidence interval for the true proportion of adults who prefer coffee is approximately 0.6598 to 0.7402.

There is a 95% confidence that the true proportion of adults who prefer coffee is between 0.6598 and 0.7402.

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The complete question:

Suppose a survey is conducted to determine the proportion of adults in a city who prefer coffee over tea. The survey results indicate that out of a random sample of 500 adults, 350 prefer coffee.

Using the sample data, construct a confidence interval to estimate the true proportion of adults in the city who prefer coffee over tea with 95% confidence.

Please fill in the answer box below with the appropriate values:

A. There is a 95% confidence that the true proportion of adults who prefer coffee is between ______ and ______.

A. There is a 90% confidence that the true proportion of worried adult is between 0.327 and 0.423.

B. Roughly 56% of the population lies in the interval between 0.327 and 0.423.

C. There is a 90% probability that the true proportion of worried adult is between 0.327 and 0.423.

Given the following statement, "There is a 90% confidence that the true proportion of worried adult is between __________ and __________." we have to calculate the interval or range that a given proportion falls within.The general formula for calculating the interval is,

interval = p ± z * √(p(1 - p) / n)

Where p is the given proportion, z is the z-score which represents the confidence level, and n is the sample size.To find the lower and upper bounds of the interval, we have to plug the given values into the formula and solve it.

Let's use the given terms to find the values.

The sample proportion is not given, so we will use the value of 150 to find the sample proportion.

sample proportion (p) = number of successes / sample size = 150 / 400 = 0.375

The z-score can be calculated using a z-table, where the area to the right of the z-score is equal to the confidence level. For a 90% confidence interval, the area to the right of the z-score is 0.05.

Using the z-table, the z-score for a 90% confidence interval is 1.64.

n is the sample size, so n = 400

Substituting the values, we have

interval = 0.375 ± 1.64 * √(0.375(1 - 0.375) / 400)

interval = 0.375 ± 0.048

Therefore, the lower bound of the interval is 0.327 and the upper bound of the interval is 0.423.

Hence, the correct choices are:

A. There is a 90% confidence that the true proportion of worried adult is between 0.327 and 0.423.

B. Roughly 56% of the population lies in the interval between 0.327 and 0.423.

C. There is a 90% probability that the true proportion of worried adult is between 0.327 and 0.423.

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Mean: Use the AVERAGE function to find the average of a range of values.

Example: =AVERAGE(A1:A10)

Five number summary: Use the MIN, MAX, and QUARTILE functions to calculate the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3) values.

Example: Minimum - =MIN(A1:A10)

Maximum - =MAX(A1:A10)

Q1 - =QUARTILE(A1:A10, 1)

Q2 (Median) - =QUARTILE(A1:A10, 2)

Q3 - =QUARTILE(A1:A10, 3)

Standard deviation: Use the STDEV.S or STDEV.P function to calculate the standard deviation of a range of values.

Example: =STDEV.S(A1:A10)

Range: Calculate the difference between the maximum and minimum values.

Example: =MAX(A1:A10) - MIN(A1:A10)

Interquartile range: Calculate the difference between the third quartile (Q3) and the first quartile (Q1).

Example: =QUARTILE(A1:A10, 3) - QUARTILE(A1:A10, 1)

Outliers: Use the IQR rule to identify potential outliers. Subtract 1.5 times the IQR from Q1, and add 1.5 times the IQR to Q3. Any values outside this range can be considered potential outliers.

To create a histogram in Excel, follow these steps:

Select a range of cells that contain the data you want to plot.

Go to the "Insert" tab in the Excel ribbon.

Click on the "Histogram" chart type under the "Charts" section.

Choose the desired histogram style and layout.

Adjust the chart's axis labels, title, and other formatting options as needed.

The histogram will visually represent the distribution of your data by grouping it into intervals or bins and displaying the frequency or count of values falling within each bin.

Remember to adapt the cell references and data range according to your specific data in Excel.

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The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.

Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.

The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.

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The complete question is;

A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?

Technically efficient

allocatively efficient

economically efficient

the area of the dartboard is approximately 254.34 square inches.

The area of a dartboard can be calculated using the formula for the area of a circle, which is given by:

Area = π * \(radius^2\)

Given that the radius of the dartboard is 9 inches, we can substitute this value into the formula:

Area = π * \(9^2\)

Area = π * 81

To calculate the area, we need to use the value of π (pi). Pi is an irrational number and is commonly approximated as 3.14. Using this approximation, we can calculate the area:

Area ≈ 3.14 * 81

Area ≈ 254.34 square inches

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Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Answer:

0.6192

Step-by-step explanation:

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.

Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.

Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

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Answer:

hello this is our answer

x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.

Newton's method is one of the numerical methods used to estimate the root of a function.

The following are the steps for using Newton's method:

Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).

Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).

Therefore, the given equation is x³ + x + 6 = 0.

Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.

Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.

To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).

Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13

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Answer:

32 ft. is the length.

Step-by-step explanation:

Divide 1,728 by 54 to get 32 ft.

Hope it helped.

The true statement is "More Italians have brown or hazel eyes than blue or green eyes." (option a).

The given two-way table shows the row relative frequencies of two categorical variables, nationality, and eye color. The frequency count or relative frequency of each cell is denoted by the decimal numbers in the table.

To evaluate each statement, we need to compare the row relative frequencies of each nationality for the two eye colors. For example, statement A implies that the row relative frequency of Italian people with brown or hazel eyes is greater than the row relative frequency with blue or green eyes.

Looking at the given table, we can see that the row relative frequency of Italian people with brown or hazel eyes is 0.80, while the row relative frequency with blue or green eyes is 0.18.

Therefore, statement A must be true since the frequency count of Italian people with brown or hazel eyes is greater than the frequency count with blue or green eyes.

Therefore, the correct answer is A) More Italians have brown or hazel eyes than blue or green eyes.

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Answer:

-4.25

Step-by-step explanation:

a) The probability that Alice is the last of the 3 customers to be done being served depends on the specific values of the exponential parameter (lambda) and the service times for Bob and Claire.

b) The expected total time that Alice needs to spend at the post office depends on the exponential parameter (lambda) and the expected service times for Bob and Claire.

a) To find the probability that Alice is the last of the 3 customers to be done being served, we need to consider the possible arrangements of Bob, Claire, and Alice being served.

There are two clerks, so there are two possible arrangements:

1. Bob is served by Clerk 1 and Claire is served by Clerk 2.

2. Claire is served by Clerk 1 and Bob is served by Clerk 2.

In both cases, Alice will be the last to be served.

Since the time spent by each clerk serving a customer follows the exponential distribution, the probability of each arrangement can be calculated as the product of the exponential probabilities for the corresponding service times.

Let's assume the exponential parameter (lambda) is the same for both clerks.

The probability that Alice is the last to be done being served is given by:

Probability = P(Arrangement 1) + P(Arrangement 2)

          = (lambda × exp(-lambda × time for Bob)) × (lambda × exp(-lambda × time for Claire)) +

            (lambda × exp(-lambda × time for Claire)) × (lambda × exp(-lambda × time for Bob))

b) To calculate the expected total time that Alice needs to spend at the post office, we need to consider the total time spent by Bob, Claire, and Alice.

Assuming the exponential distribution for service times, the expected total time is the sum of the expected times for each customer.

Expected Total Time = Expected Time for Bob + Expected Time for Claire + Expected Time for Alice

The expected time for each customer can be calculated as the reciprocal of the exponential parameter (1/lambda).

Fill in the values for lambda and any specific times for Bob and Claire to get more precise calculations.

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Answer:

It's prime, the others are for English.

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{9}{12}\)

\(\frac{4}{6}\) = \(\frac{8}{12}\)  

\(\frac{9}{12}\) > \(\frac{8}{12}\) ⇒ \(\frac{9}{12}\) > \(\frac{4}{6}\)

(A). The ratio 9 to 12 is greater than 4 to 6.

Required polynomial in the form p(x) is: \(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

We are given the following polynomial: \(\[f(x)=\frac{x^4-3x^3+2x^2-7x-2}{x-1}\]\)

To perform polynomial long division we divide the highest degree terms of the numerator and denominator. Then we write the quotient and remainder on top of each other and multiply the denominator of the original problem with the quotient to check if the answer is correct.

Let's start with the highest degree terms.

\(\[\begin{array}{r r c r r} &x^3 &-2x^2 &+4x &-3\\ \cline{2-5} x-1 & x^4 &-3x^3&+2x^2&-7x&-2 \\ & \underline{x^4} &-\underline{x^3} & & & \\ & & -2x^3 & +2x^2 & & \\ & & \underline{-2x^3} & +\underline{2x^2} & & \\ & & & 0x^2 & -7x & \\ & & & & -7x & +7 \\ & & & & \underline{-7x} & +\underline{7} \\ & & & & & \boxed{5} \\ \end{array}\]\)

Therefore, the required polynomial in the form p(x) is:\(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

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The two digits are 3 and 2.

A number is a numerical unit of measurement and labeling in mathematics.

The natural numbers 1, 2, 3, 4, and so on are the first examples.

Number words are a linguistic way to express numbers.

Most commonly, specific numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five.

Basic numerals are frequently grouped in a numeral system, which is an ordered manner to represent any number, because only a small number of symbols can be learned.

The most widely used number system is the Hindu-Arabic number system, which enables the depiction of any number using a combination of 10 basic numerical symbols, or "digits."

According to our question-

3+2

=5

Hence, The two digits are 3 and 2.

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Answer:

19

Step-by-step explanation:

7x-8=6x+11

-6x   -6x

x-8=11

  +8 +8

x=19

Answer:

no

Step-by-step explanation:

y = 9 + 2 is 11 not 7