A cruise company would like to estimate the average beer consumption to plan its beer inventory levels on future seven-day cruises. (The ship certainly doesn't want to run out of beer in the middle of the ocean!) The average beer
consumption over 15 randomly selected seven-day cruises was 81,551 bottles with a sample standard deviation of 4,572 bottles. Complete parts a and b below.
a. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
The 95% confidence interval to estimate the average beer consumption per cruise is from lower limit of _____bottles to an upper limit of ___ bottles (Round to the nearest whole numbers)
b. What assumptions need to be made about this population?
A The only assumption needed is that the population follows the normal probability distribution
B. The only assumption needed is that the population follows the Student's t-distribution
C. The only assumption needed is that the population distribution is showed to one side
D. The only assumption needed is that the population size is larger than 30.

Answer: 2(x^2 + 1)

Step-by-step explanation: its either that or no solution for this question

Answer:

151 ft

48 ft/s

Step-by-step explanation:

h(t)=-16t^2+v₀t+h₀

v₀ = 96  and

h₀ = 7

h(t)=-16t^2+96t+7

The maximum height is at the vertex

The x values of the vertex is at

x = -b/2a = -96/ (2*-16) = -96/-32 =3

Substitute this into the function to find the maximum height

h(3) = -16 ( 3)^2 +96*3+7

    -16*9 +288+7

     151

The maximum height is 151 ft

Average rate of change from 0 to 3

h(3) - h(0)

---------------

3-0

151 -7

------------

3

144/3

48ft/s

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

Answer: $7,500

Step-by-step explanation:

Answer:

Solution given:

radius [r]=40ft

length of arc=70/360×2πr=70/360×2×π×40

=48.86=49ft is your answer

Answer:

49ft is the answer. hope it helps

The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Answer:

7.04× 10^5

Step-by-step explanation:

6.72 x 10^5= 6.72 x 10^(4+1)= 6.72 x 10^1 ×10^4

= 67.2 x 10^4

(67.2 x 10^4)+ (3.2 x 10^4)

(67.2+3.2) × 10^4 = 70.4 × 10^4

7.04× 10^5

Answer:

7.04× 10^5 Step-by-step explanation:

Pseudocode refers to a language that uses a combination of informal English language and a programming language. It's utilized to specify the steps that a computer program will follow to achieve a particular aim. In the context of programming, pseudocode is commonly used to explain a program's algorithm before it is turned into actual code.

In a nutshell, pseudocode is a way of expressing computer code in a human-readable format that can be easily interpreted. Here is the pseudocode for the manager's scenario:

1. Declare variable: sales = 0, vat = 0.

2. Request input of sales amount in Rands from user.

3. Multiply sales by 15% to calculate the VAT payable.

4. Add VAT payable to the sales amount to determine the total sales amount.

5. Display total sales amount and VAT payable.

the pseudocode for a scenario where a food store manager wants to keep track of the amount of sales of food and the amount of VAT that is payable on it will entail the use of variables, multiplication, and display functions. In addition, requesting input from the user is a critical step that cannot be ignored.

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This right rectangular prism, which measures 6 by 6 by 15 cm, has a surface area of 432 square centimetres.

The sum of the areas of the six faces of a right rectangular prism gives the prism's surface area. The prism in this instance is 6 centimetres x 6 centimetres by 15 centimetres in size.

We must first determine the size of each face's area before adding them all up to determine the surface area. Each of the top and bottom faces measures 6 cm by 6 cm, giving them a combined area of 6 cm by 6 cm, or \(36 cm^2\).

The front and back faces each have an area of \(90 cm^2\) because they are each 6 cm by 15 cm in size.

Last but not least, the left and right faces have a combined area of 6 cm by 15 cm, or \(90 cm^2\), each.

The total area of all six faces is as follows:

\(36 cm^2 +90 cm^2 +90 cm^2 +90 cm^2 = 432 cm^2\).

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The measure of m∠RQS and m∠PQR is the line QS bisects ∠PQR  and m∠PQS=63° are 63 and 126 degrees.

The line or line segment that divides an angle into two equal pieces is known as the bisector of an angle, also known as the internal angle bisector. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

If line QS bisects ∠PQR, then;

<PQS = <RQS

WE have Given the following parameter;

m∠PQS=63°

Hence <PQS = <RQS = 63 degrees

Also,

<PQR = <PQS + <RQS

<PQR = 63 + 63

<PQR = = 126 degrees

The measure of m∠RQS and m∠PQR is the line QS bisects ∠PQR  and m∠PQS=63° are 63 and 126 degrees respectively

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Answer:

Simplify.

\(x = \frac{5}{6} - \frac{y}{6}\)

Please let me know if you need anything else, I was not able to get much from just that equation.

Answer:

Step-by-step explanation:

Expression: \(\frac{2+v}{t}\)

Inequality: \(7-5<2*9\)

Equation: \(3-5x=y\)

Hope this helps!

Answer:

m∠JTS = 104° ⇒ (A)

Step-by-step explanation:

The measure of an exterior angle of a triangle at one of its vertices equals the sum of the measures of the opposite interior angles.

Let us use this fact to solve the question

In ΔTSR

∵ T ∈ ray RJ

∴ ∠JTS is an exterior angle of ΔTSR

→ By using the fact above

∴ ∠TSR and ∠TRS are the opposite interior angles to ∠JTS

∴ m∠JTS = m∠TSR + m∠TRS

∵ m∠JTS = 27x - 4

∵ m∠ TSR = 30°

∵ m∠TRS = 18x + 2

→ Substitute their values in the equation above

∴ 27x - 4 = 30 + 18x + 2

→ Add the like terms in the right side

∴ 27x - 4 = 18x + 32

→ Add 4 to both sides

∴ 27x = 18x + 36

→ Subtract 18x from both sides

∴ 9x = 36

→ Divide both sides by 9

∴ x = 4

→ To find m∠JTS substitute x by 4 in its measure

∴ m∠JTS = 27(4) - 4 = 108 - 4

∴ m∠JTS = 104°

The non-extraneous solutions of the square root of the quantity x plus 7 minus 4 equal quantity x plus 3 is: x = -7 and x =-6.

The non-extraneous solution can be found with this calculation:

\(\sqrt{x} + 7 - 4 = x + 3\\\\\sqrt{x} + 7 = x + 7\\\\\)

Now, we will square both sides:

\((x + 7) = (x + 7)^{2} \\\\(x + 7) = (x+7) (x+7)\\\\x + 7 = x^{2} + 14x + 49\\\\x = x^{2} + 13x + 42\\\\0 = (x + 7) (x+6)\\\)

Thus, we have; x = -7 and x = -6

Note that we collected like terms from the figures on the left-hand-side to the figures on the right-hand side. When the lowest common multiple betwen 14 and 42 was checked, figures 7 and 6 were gotten.

When we plug figure x into both equations, we get the same figures and this confirms the solution.

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Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

Answer:

5/9 is your answer

Step-by-step explanation:

For James to break even, he must work for 5 days.

The break-even point describes the production and sales units where the total revenue equals the total costs.

At the break-even point, there is no profit or loss.

The fixed cost incurred for the purchase of a lawn mower = $875

The daily cost of gasoline = $20

The daily revenue = $200

The total cost function is 875 + 20d

The revenue function is 200d

To break even, James' total cost function must equal the revenue function as follows:

875 + 20d = 200d

180d = 875

d = 4.86

d is approximately 5 days.

Thus, James needs to work for 5 days to cover the total costs with the total revenue.

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Answer:

Perpendicular

Step-by-step explanation:

1. turn both equation in the form of y=mx+c

x+2y=2  

2y=2-x

y=1\(-\frac{1}{2}\)     (the gradient for this equation is \(-\frac{1}{2}\)

6x-3y=211

-3y=-6x+211

y=2x\(-\frac{211}{3}\)    (the gradient for this equation is 2)

therefore, it is perpendicular because when you multiply both the gradient it is -1 (in addition the reciprocal of 2 is \(-\frac{1}{2}\)  and the reciprocal for \(-\frac{1}{2}\) is 2 therefore they are perpendicular)

The total number of rankings is the product of the number of students at each step. Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.

Given that an introductory statistics class has 4 freshmen and 6 sophomores. The students are ranked based on their performance. Therefore, it is required to find the number of different rankings possible. Step 1: Find the total number of students in the class. Total number of students in the class = number of freshmen + number of sophomores = 4 + 6 = 10Step 2: Find the number of ways to select the first-ranked student. There are 10 students to choose from for the first position. Therefore, the number of ways to select the first-ranked student is 10.Step 3: Find the number of ways to select the second-ranked student. There are 9 students remaining after selecting the first-ranked student. Therefore, the number of ways to select the second-ranked student is 9.Step 4: Find the number of ways to select the third-ranked student.There are 8 students remaining after selecting the first two-ranked students.

Therefore, the number of ways to select the third-ranked student is 8.Step 5: Continue the process until all students are ranked. The total number of rankings is the product of the number of students at each step.Total number of different rankings possible = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 10! ≈ 3.6 × 10^6.

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Answer:

80

Step-by-step explanation:

Answer: 80

Step-by-step explanation: Maybe research supplementary angle rules?

Answer:

42 square centimeters

I think that is the right answer

sorry if it is wrong

Answer:

7×6= 42 square centimeters

The scatter plot shows the number of hats and scarves each knitter sold at a knitting show. 02 hats did the knitter who sold 9 scarves sell.

Scatterplot:

A scatterplot  is a graph or mathematical graph that displays the values ​​of usually two variables of a data set using Cartesian coordinates. is a kind of Additional variables can be displayed if the points are coded (color/shape/size). The data is displayed as a set of points, where each point has the value of one variable that determines its position on the horizontal axis and the value of another variable that determines its position on the vertical axis.

According to the Question:

I need to find out how many hats were sold when the knitter sold his 09 scarves.

To find this out, in the scatterplot he needs to find the x-values ​​corresponding to the y-values ​​of the 9 scarves.

Corresponding to 9 on the y-axis, there is a point with a corresponding value of 02.

Therefore, when the weaver sold 09 scarves, he sold two(02) hats.

Option B) 02 is correct.

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Answer:

1305.5

Step-by-step explanation:

22.8+14.5=37.3

22.9+12.1=35

37.3*35=1305.5

for 7 pints

answer 14 cups

Brute force approach to analyzing all subsets of a set of 24 experiments for space launch problem becomes impractical due to exponential increase in number of subsets, resulting in longer execution times.

The brute force approach to solving the space launch problem becomes increasingly impractical as the size of the experiment set grows. When doubling the size from 12 to 24 experiments, the number of subsets to analyze increases exponentially from 4,096 to 16,777,216. This poses a significant computational challenge for a computer.

To assess the execution time of the "find_optimal_subset" function on a set of 24 experiments, we can generate a new 2D list representing these experiments. Each experiment can be assigned an ID number ranging from 1 to 24, and the masses and value ratings can be randomly generated using the randint function from the random module in Python. By measuring the elapsed time using Python's process_time function, we can determine the runtime of the function.

For instance, on a desktop with a stock Ryzen 9 5900X processor, running Windows 10 Pro and Python 3.9.2 (64-bit), the execution time is approximately 97-98 seconds. However, it's important to note that the exact execution time may vary depending on the specific hardware and software configuration.

In summary, the brute force approach becomes increasingly time-consuming as the size of the experiment set grows. Doubling the size of the set from 12 to 24 experiments leads to a drastic increase in the number of subsets to analyze. Timing the execution of the "find_optimal_subset" function on the larger set reveals the practical challenges posed by the exponential growth in computation time.

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For the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The following functions f(x) and g(x), solve f [g(10)]. f(x) = 10x + 8 g(x) = x + 9.

put g(x) in place of x in the function f(x). Then we have

f [g(x)] = 10(x + 9) + 8

f [g(x)] = 10x + 90 + 8

f [g(x)] = 10x + 98

Put x = 10, then we have

f [g(10)] = 10(10) + 98

f [g(10)] = 100 + 98

f [g(10)] = 198

Thus, for the value of x = 10, then the value of function f [g(10)] is 198. Then the correct option is D.

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Answer:

Option D

Step-by-step explanation:

Answer:

A) 29men

B) 91cm

C) 13cm

Step-by-step explanation:

Men with waist of 85cm = 11

A.) Men with waist of more than 85cm = (total number of men - 11) = (40 - 11) = 29men

B.) median waist :

Median = (n) / 2

Where n = number of observations

Median = (40) / 2 = 40/2 = 20th

Taking the intersection of the 20th point on the x-axis,

Median waist = 91cm

C.) Interquartile range(IQR) = (Q3 - Q1)

Q3 = 3/4(n)

Q3 = 0.75 × 40 = 30

Q3 = 97cm

Q1 = 1/4(n)

Q1 = 0.25 × 40 = 10

Q1 = 84cm

IQR = 97 - 84 = 13cm

Answer:

\( {(x - 2)}^{2} + {(y + 7)}^{2} = 16\)

Step-by-step explanation:

\( {(x - 2)}^{2} + {(y + 7)}^{2} = 16\)