Therefore, there are 56 different ways for the five customers to seat themselves in the theater using combination.
This is a combination problem, since the order of the seats does not matter. We can use the formula for combinations:
C(n,r) = n! / (r!(n-r)!)
where n is the total number of items and r is the number of items to be selected.
In this case, n = 8 (the number of seats) and r = 5 (the number of customers), so we have:
C(8,5) = 8! / (5!(8-5)!) = 56
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2.A filled provides grazing for sheep for 8 days. How many days grazing would it provide for 24 sheep
Given:
Consider the complete question is "A field provides grazing for 18 sheep for 8 days. How many days grazing would it provide for 24 sheep?".
To find:
The number of days the field provides grazing for 24 sheep.
Solution:
We have,
If number of sheep = 18, then, number of days = 8.
If number of sheep = 24, then, number of days = x.
Now, the products of number of sheep and number of days are equal because they represent the total work done.
\(18\times 8=24\times x\)
\(\dfrac{18\times 8}{24}=x\)
\(\dfrac{144}{24}=x\)
\(6=x\)
Therefore, the field provides grazing for 24 sheep for 6 days.
can sb help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
127 feet
Step-by-step explanation:
I did this already and I got it correct
Answer:
Its either 90 or 100
Step-by-step explanation:
what is -6+9(8-2b) simplified
Answer:
60
Step-by-step explanation:
I did this ones and its not hard
Answer:
60
Step-by-step explanation:
Automobile Depreciation For a random sample of 20 automobile models, we record the value of the model as a new car and the value after the car has been purchased and driven 10 miles. 1 The difference between these two is a measure of the depreciation on the car just by driving it off the lot. Depreciation values from our sample of 20 automobile models can be found in the dataset CarDepreciation. Click here for the dataset associated with this question. Click here to access StatKey. Round your answers to the nearest integer. (a) Find the mean and standard deviation of the Depreciation amounts in CarDepreciation. Mean
The mean Depreciation of automobile for a random sample of 20 automobile models is 6626.
To find the mean of the Depreciation amounts in Car Depreciation, we can use the following formula:
mean = (sum of all values) / (number of values)
The resulting value of 6626 indicates the average depreciation amount in dollars of the 20 automobile models in the sample of standard deviation.
In statistics, the mean is a measure of central tendency that represents the average value of a dataset. It is calculated by adding up all the values in the dataset and then dividing the sum by the number of values.
The mean is commonly used as a measure of the "typical" value in a dataset and is often used to compare the values of different datasets or to track changes in a single dataset over time.
Automobile Depreciation For a random sample of 20 automobile models, we record the value of the model as a new car and the value after the car has been purchased and driven 10 miles. 1 The difference between these two is a measure of the depreciation on the car just by driving it off the lot.
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Variability between groups is due to ______. Group of answer choices the level of the dependent variable the F ratio the grouping factor chance Flag question: Question 4
Variability between groups is due to the grouping factor.
The F ratio is a measure of the variability between groups relative to the variability within groups, but it is not the cause of the variability between groups.
In an experimental design, researchers often manipulate an independent variable to observe its effects on a dependent variable.
The independent variable is often a grouping factor, which means that participants are assigned to different groups based on some characteristic or condition.
Participants may be assigned to a treatment group or a control group, or they may be grouped based on age, gender, or some other factor.
The experiment is conducted, the dependent variable is measured in each group, and the researcher is interested in whether there are significant differences between the groups.
Variability between groups refers to the differences in the mean scores of the dependent variable between the different groups.
The grouping factor is the reason for the variability between groups.
This is because the different groups are defined by the levels of the grouping factor, and the participants within each group are assumed to be similar with respect to the dependent variable.
Any differences between the groups must be due to the effect of the grouping factor.
The F ratio, which is calculated by dividing the variability between groups by the variability within groups, is used to test whether the differences between the groups are statistically significant.
The F ratio is a measure of the extent to which the grouping factor explains the variability in the dependent variable, and a significant F ratio indicates that there are significant differences between the groups.
Variability between groups is due to the grouping factor, and the F ratio is used to test whether the differences between the groups are statistically significant.
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Find the measure of the indicated angle to the nearest degree.
Answer:
62°
Step-by-step explanation:
We use the fact that the ratio of the sides of the triangle to the angles opposite them is given by the Law of Sines:
"In any triangle, the ratio of a side length to the sine of its opposite angle
is the same for all three sides"
\(\frac{a}{sinA} = \frac{b}{sinb} =\frac{c}{sinC}\)
where A is the is the angle opposite side a, B the angle opposite to side b, C is the angle opposite to side c
For the given triangle we get
44/sin90 = 39/sin?
sin90 is 1 so we get 44/1 = 39/sin?
or cross-multiplying,
sin? = 39/44 = 0.886363..
? = sin⁻¹ (0.886363) = 62.42° ≈ 62° answer
Answer:
? ≈ 62°
Step-by-step explanation:
using the sine ratio in the right triangle
sin? = \(\frac{opposite}{hypotenuse}\) = \(\frac{39}{44}\) , then
? = \(sin^{-1}\) ( \(\frac{39}{44}\) ) ≈ 62° ( to the nearest degree )
Valeria has been training for the Charlestown cruisers bike race. The first week she trained, she rode 5 days and took the same two routes each day. She rode and 8 mile route each morning and longer route each evening. By the end of the week, she had ridden a total of 115 miles. How many miles did valeria ride each evening
The number of miles covered every evening obtujwd using a system of equation is 15 miles.
Let the number of miles per evening = m
Number of days = 5 Number of miles per morning = 8 miles Total miles covered = 115 milesUsing the expression below :
Number of days(miles per morning + miles per evening) = 115 miles
5(8 + m) = 115
40 + 5m = 115
5m = 115 - 40
5m = 75
m = 75 / 5
m = 15 miles
Therefore, the Number of miles covered per evening is 15 miles.
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find the slope of the given line in the equation:
given:y=1/3x -3
Answer:
1/3
Step-by-step explanation:
y=mx+b
m= Slope
So, 1/3 is the slope.
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
Answer:
Step-by-step explanation:
-6 is rational because it can be written as a ratio -6/1 for example
Answer:
c
Step-by-step explanation:
find the area of the region. one petal of r = cos(4)
the area of one petal of the region bounded by the circle with center at the origin and radius r = cos(4) is approximately 3.75π square units.
To find the area of one petal of the region bounded by the circle with center at the origin and radius r = cos(4), we can use the formula for the area of a circular sector:
Area = (1/2)π\(r^2\) * (θ/360)
where θ is the angle between the positive x-axis and the sector's line of symmetry. The sector's line of symmetry is the line perpendicular to the positive x-axis that passes through the center of the circle.
In this case, θ = 45 degrees, which is half of the full angle of 90 degrees. Therefore, we can simplify the formula to:
Area = (1/2)π\(r^2\) * 45/360
Substituting r = cos(4), we get:
Area = (1/2)π(cos(4))\(^2\) * (45/360)
= (1/2)π(1 - sin\(^2(4))\) * (45/360)
= (1/2)π(1 - 1/2) * (45/360)
= (1/4)π * 45/360
= (1/4)π * 1.5
= 3.75π square units
Therefore, the area of one petal of the region bounded by the circle with center at the origin and radius r = cos(4) is approximately 3.75π square units.
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Full Question ;
Find the area of one petal of the polar curve r=cos(4θ).
a population of n = 6 scores has σx = 12 and σx 2 = 54. what is the value of ss for this population?a. 54 b. 5 c.30 d. 9
The value of SS for this population cannot be determined with the given information.
Can the value of SS be determined based on the given population data?The sum of squares (SS) for a population is calculated by summing the squared differences between each individual score and the population mean.
However, the given information provides the population standard deviation (σx = 12) and the population variance (σx^2 = 54), but it does not provide the population mean (μ).
Without the population mean, we cannot accurately calculate the value of SS. Therefore, the value of SS for this population cannot be determined based on the given information.
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The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.
Answer:
an = an – 1 + 14; a1 = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
pizza represent p
$14=1p
$9=9*1/4=9/4
write one sentence with using the word innate .
Answer:
He had an innate modesty and creative.
Step-by-step explanation:
Mark wants to fence 4 rectangular gardens, each with a length of 94 feet and a width of 4 feet. What is the total length of fencing Mark needs to
surround all 4 gardens?
Mark needs
feet of fencing
Answer:
784ft
Step-by-step explanation:
4 rectangles 4 sides each
(94*2)+(4*2) would make up one rectangle so you multiply by 4
(94*8)+(4*8)
94*8=752ft
4*8=32ft
752+32=784ft
A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for each burrito. Money made from selling burritos is positive. The cost of making burritos is negative. Profit is the money left after paying the costs. How much profit would the restaurant make by selling 100 burritos? Answer these questions to find out
1. How much money would The restaurant take in by selling 100 burritos?
2. What is the cost of making one burrito? (Remember that costs are negative.) explain how you found your answer.
3. What is the cost of making 100 burritos?
4. What is the profit the restaurant makes from selling 100 burritos? Does the restaurant make money or lose money? Explain.
Step-by-step explanation:
8-2.5 = 5.5
they are making 5.50 for every burrito
5.50 * 100 = 550$
it costs 2.50 for every burrito
2.50* 100 = 250$
8 * 100 = 800$ - cost of burritos
800-250= 550
they make money
Pls answer and show WORK pls do it right
Answer:
4/6
Step-by-step explanation:
1/2 needs to be converted to sixths, so we would multiple the numerator and the denominator by 3, because 2 goes into 6, 3 times, then we would get 3/6 + 1/6, then just add, 1 + 3 = 4, and then you end up with 4/6. Have A Great Day!
HELLPPP MEEEEE PLEASEEEEE
Answer:
10
Step-by-step explanation:
b. If Q T=11 meters, what is Q U ?
The question asks to find the value of Q U given that Q T is equal to 11 meters. However, without any context or additional information provided, it is not possible to determine the specific meaning or calculation of Q U.
The variables Q T and Q U could represent any quantities or variables in a given scenario, and their relationship or formula is not specified.To accurately determine the value of Q U, it is essential to have more information about the context or the relationship between Q T and Q U.
Without such information, it is not possible to generate a meaningful answer or perform any calculations. Therefore, the value of Q U remains unknown until further clarification or context is provided.
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type the Integra that makes the type the integral that makes the following multiplication sentence true * 7 equal -4
In order to determine the integer that makes true the given expression:
______ x 7 = -14
consider that such integer must be equal to the quotient between -14 and 7:
-14/7 = -2
In fact, you have:
-2 x 7 = -14
Hence, the integer is -2
Ten less than half a number is 76. What is the number?
We have that for the Question "Ten less than half a number is 76. What is the number?" it can be said that the number is
x=172
From the question we are told
Ten less than half a number is 76. What is the number?
Generally the equation for the Statement is mathematically given as
\(x/2-10=76\\\\Therefore\\\\x/2-10=76\\\\x/2=76+10\\\\x=2*(86)\\\\x=172\\\\\)
Therefore
The number is
x=172
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an experienced plumber can do the finishing plumbing work on a house in 8 hours. an inexperienced plumber will take 12 hours to do the same job. if two experienced men and three inexperienced men work on an emergency finishing project, how many hours will they take to do the job? 4.8 hours 3 hours 2 hours
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
The number of hours will they take to do the job is 2. Below is the solution:
2(1/8) + 3(1/12) = 1/x
1/4 + 1/4 = 1/x
1/2 = 1/x
x = 2
Hey ya'll I need help with can anyone help please
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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Find the values of a and b that make the following piecewise defined function both continuous and differentiable everywhere. f(x) = 3x + 4, X<-3
2x2 + ax + b. X>-3
The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.
To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.
On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.
Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.
Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.
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what is 1 plus 1?????
Answer:
2
Step-by-step explanation:
1 + 1 = 2 .1 + 1 is 2 .
....................................
or
1 + 1 = MagellanBRAINLIEST ME UWU
5x + 10 = 7x + 18
Answer answer answer answer answer
Answer:
My answer would most likely be x = -4.
Answer:
x = -4
Step-by-step explanation:
it is known that 5% of people in a city are infected by covid-19. a random sample of 300 people will be selected. what is the probability the percentage of people in the sample who are infected is between 4% and 6%?. answer the following questions before computing the probability. is the sample large enough to apply the central limit theorem?
The sample size of 300 people is large enough to apply the Central Limit Theorem.
Determine the Central Limit Theorem?The Central Limit Theorem (CLT) states that for a random sample of independent and identically distributed (i.i.d.) variables with a finite population mean and standard deviation, as the sample size increases, the distribution of the sample means approaches a normal distribution, regardless of the shape of the population distribution.
In this case, we are interested in the percentage of people in the sample who are infected with COVID-19. The sample size of 300 people is sufficiently large for the CLT to be applicable. Since the sample is randomly selected and the individuals in the sample are assumed to be independent, we can expect the distribution of the sample proportion (percentage) of infected individuals to be approximately normal.
To compute the probability that the percentage of infected individuals is between 4% and 6%, we can use the normal distribution approximation.
We need to calculate the z-scores corresponding to the lower and upper bounds (4% and 6%) and then find the area under the normal curve between those z-scores.
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which of the following is not important when developing a multiple-year operating forecast?
When developing a multiple-year operating forecast, all of the following factors are typically important:
1. Historical Data: Analyzing past performance and trends is crucial for understanding the company's financial position and making informed projections.
2. Market Analysis: Evaluating the current market conditions, industry trends, and competitive landscape helps identify opportunities and potential risks that can impact the forecast.
3. Strategic Goals and Objectives: Aligning the forecast with the organization's long-term goals and objectives ensures that it supports the company's overall strategic direction.
4. Economic Factors: Considering macroeconomic indicators such as GDP growth, inflation rates, interest rates, and exchange rates helps anticipate how the broader economy might affect the business.
5. Internal Factors: Assessing internal factors like sales pipelines, production capacity, staffing levels, and operational efficiencies allows for a more accurate forecast based on the company's specific capabilities.
6. Assumptions and Scenarios: Developing a range of scenarios based on different assumptions helps account for uncertainties and provides a comprehensive view of potential outcomes.
7. Financial Analysis: Conducting financial analysis, including ratio analysis, cash flow projections, and profitability assessments, helps validate the feasibility and sustainability of the forecast.
Given that all the factors mentioned above are important for developing a multiple-year operating forecast, none of them can be considered unimportant in this context.
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If ST=17 and RT=41, find RS. Use the number line below.
The length of segment RS is given as follows:
RS = 24.
What does the angle addition postulate state?The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.
The segment RT is the combination of segments RS and ST, hence:
RT = RS + ST.
Hence the length of segment RS is given as follows:
41 = RS + 17
RS = 24.
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The scatter plot shows the relationship between the number of hours michele cycles on different days and numbers of miles traveled each day. a line of best fit is drawn on the scatter plot. based on the line best fit, which is the best estimate for the number of miles michele would cycle in 2 hours
As per the concept of average rate of change, the best estimate for the number of miles Michele would cycle in 2 hours is 24 miles
Here we have given the scatter plot shows the relationship between the number of hours Michele cycles on different days and numbers of miles traveled each day.
Then the average rate of change is calculated as,
=> (5 - 2) / (0.50 - 0.25)
=> 3/0.25
=> 12.
Then the best estimate for the number of miles Michele would cycle in 2 hours is calculated as,
=> 2 x 12
=> 24.
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