In Boston, a popular restaurant recently added a delivery option. In reviewing the sales for this new delivery service, the restaurant found the mean delivery orders in a random sample of Friday nights was x¯=48 orders, with a margin of error of 12 orders.
Answers
The 95% confidence interval for the mean number of delivery orders on a Friday night is 36 to 60 orders.
What is the confidence interval?The confidence interval for the mean number of delivery orders on a Friday night is constructed assuming a 95% confidence level.
Given data:
Sample mean (x) = 48 orders
The margin of error (E) = 12 orders
To calculate the confidence interval, we'll use the formula:
Confidence Interval = x ± E
Substituting the values:
Confidence Interval = 48 ± 12
The lower limit of the confidence interval:
Lower Limit = 48 - 12 = 36
The upper limit of the confidence interval:
Upper Limit = 48 + 12 = 60
Therefore, the 95% confidence interval for the mean number of delivery orders on a Friday night is 36 to 60 orders.
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Complete question:
In Boston, A Popular Restaurant Recently Added A Delivery Option. In Reviewing The Sales For This New Delivery Service, The Restaurant Found The Mean Delivery Orders In A Random Sample Of Friday Nights Was X¯=48 Orders, With A Margin Of Error Of 12 Orders. Construct A Confidence Interval For The Mean Number Of Delivery Orders On A Friday Night.
Related Questions
A market research company was interested in comparing three communities A, B and C to determine whether there are any differences in their use of water filters in homes. Each of 100 homeowners sampled from each community was asked whether or not they have installed water-filtering system in their homes. Their responses (Yes or No) are summarized in the following contingency table.
Use Filters
Community | Yes | No
A 62 38
B 58 42
C 73 27
a) Clearly state the null and alternative hypotheses in this problem.
b) Calculate the expected count for the bottom right cell (i.e., Community ‘C’ and ’No’), and explain what the number means.
c) The Chi-square statistic has been calculated to be 13.22. What can we conclude from this finding?
Answers
a) The null hypothesis is that there is no difference in the proportion of homeowners using water filters among the three communities. The alternative hypothesis is that at least one community has a different proportion of homeowners using water filters than the other communities.
b) To calculate the expected count for the bottom right cell, we can use the formula:
Expected count = (row total x column total) / grand total
The row total for Community C and the column total for No are both 100, and the grand total is 300. Therefore:
Expected count = (100 x 100) / 300 = 33.33
The expected count of 33.33 for the bottom right cell means that if there were no difference in the proportions of homeowners using water filters among the three communities, we would expect 33.33 of the 100 homeowners in Community C to answer 'No' to the question about water filters.
c) To determine what we can conclude from the Chi-square statistic of 13.22, we need to compare it to the critical value for a Chi-square distribution with (3-1) x (2-1) = 2 degrees of freedom at the desired level of significance. Let's assume a level of significance of 0.05. From a Chi-square distribution table, the critical value with 2 degrees of freedom at 0.05 level of significance is 5.99.
Since 13.22 is greater than 5.99, we can reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners using water filters among the three communities. However, we cannot determine from this test alone which communities have different proportions of homeowners using water filters. We would need to conduct further tests, such as post-hoc tests, to investigate the specific differences among the communities.
In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
Answers
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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Task #5: Map Activity Sheet
Answers
Answer:
I don't know the answer sorry
20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
Answers
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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Graph the following functions ( I will give brainly whoever answer this)
Answers
Answer:
See the attachment for the graph of the piecewise function.
Step-by-step explanation:
Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
Given piecewise function:
\(f(x)=\begin{cases}2x+2,\;\;\;0\leq x \leq 1\\4x^2,\;\;\;\;\;\;\;1 < x < 3\end{cases}\;[1,3]\)
Therefore, the function has two definitions:
f(x) = 2x + 2 when x is greater than or equal to 0 and less than or equal to 1.f(x) = 4x² when x is greater than 1 and less than 3.When graphing piecewise functions:
Use an open circle where the value of x is not included in the interval.Use a closed circle where the value of x is included in the interval.Use an arrow to show that the function continues indefinitely in that direction.First piece of the functionSubstitute the endpoints of the first function's domain 0 ≤ x ≤ 1 into the first function:
\(x=0\implies f(0)=2(0)+2=2 \implies (0,2)\)
\(x=1\implies f(1)=2(1)+2=4 \implies (1,4)\)
Therefore, place a closed circle at (0, 2) and a closed circle at (1, 4).
As this function is linear, join the two points with a straight line.
Second piece of the functionSubstitute the endpoints of the second function's domain 1 < x < 3 into the second function:
\(x=1\implies f(1)=4(1)^2=4 \implies (1, 4)\)
\(x=3\implies f(3)=4(3)^2=36 \implies (3, 36)\)
Therefore, place an open circle at (1, 4) and an open circle at (3, 36).
As the function is quadratic (a parabola that opens upwards), join the points with a curve.
You will notice that both pieces of the function share the endpoint (1, 4).
As (1, 4) is included in the second piece of the function, the function is continuous at (1, 4) and the closed circle is optional at that point.
Please help as soon as possible
Answers
9514 1404 393
Answer:
11π cm
Step-by-step explanation:
Each curve is 1/4 of a circle that has diameter 11 cm. The four curves together have the same length as the circumference of an 11 cm circle.
C = πd
C = π(11 cm) = 11π cm
The perimeter of the figure is 11π cm.
#2 i
ZAINE COOPER
USING RATIOS An entrepreneur wants to rent a billboard at least 30 feet tall to display an advertisement for her business. She
is 5 feet 6 inches tall and casts a shadow 7 feet long. At the same time, a billboard casts a shadow 35 feet long. Is the billboard
tall enough? how do you solve this?
Answers
The billboard is not tall enough as the height is 27.5ft which is less than 30ft.
The comparison of two quantities having the same units is called as Ratio.
ratio between quantity a and b is represented by a:b .
In the given question
The bill board should have at least 30ft height.
Height of lady = 5 ft 6 inches
=5.5 ft ...( as 6inch=0.5ft )
If the height of the lady is 5.5ft shadow length = 7 feet
Since the units of height of lady and length of shadow is same .
hence ratio can be used ,
also given that length of billboard = 35 ft.
Let the height of the bill board = x ft
The above situation can be represented using ratio as
(height of lady) / (length of shadow of lady)=(height of billboard)/( length of billboard shadow)
Substituting the values we get
5.5/7=x/35
On solving further we get
(5.5/7)*35=x
5.5*5=x
x=27.5
The height of the billboard is 27.5 ft .
Since , it is given that the height of the bill board should be at least 30ft tall , and the height of the billboard is 27.5ft.
Therefore , the billboard is not tall enough as the height is less than 30ft.
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The corner of a cube is the intersection of?
Answers
Answer:
edges, faces and facets
Step-by-step explanation:
The corner of a cube (vertex) is an intersection of two or more edges (sides) , two or more faces and two or more facets.
Answer:
Faces and edges.
Step-by-step explanation:
The corner of a cube or vertex is the intersection of the cube's edges and faces. One vertex or corner intersects 3 edges and 3 faces.
BRAINLIESTSSTSTTS PLEASE ?
Answers
Answer:
B,D,E,F
Step-by-step explanation:
Write an expression that represents the volume of a rectangular-shaped box with a length 3 inches less than its height and a width 4 inches greater than its height
Answers
Answer: h(h-3)(h+4)
Step-by-step explanation:
To find the volume of rectangular-shaped box we will have to multiply the length by the width by the height.
Given the statements we can determine the length with the equation
L = h -3 where l is the length and h is the height.
the width can also be represent by the equation
w = h + 4
The height is is h and the length is h- 3 and the width is also h+4 so the expression will be h(h-3)(h+4)
A kids pool had a small opening through which water sometimes leaked out. Water was poured into the pool from time to time. The graph shows the amount of water in the pool (y), in gallons, at certain times (x), in hours.
Which of the following statements best describes the amount of water in the pool ?
1) it is increasing during the time interval 4
2) it is increasing during the time interval 10
3) it is decreasing during the time interval 4
4) it is decreasing during the time interval 10
Answers
The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.
How to determine the the interval of the water in the pool?To determine the time interval of the water in the pool the following is carried out.
At 0 hour, the water is at the level of = 40 gallons
At 1 hour, the water decreased to = 25 gallons.
At 2 hours, the water decreased to = 10 gallons.
The water remained at a constant level till 4 hours.
Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.
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Which polynomial is prime?
O 3x³ + 3x² - 2x - 2
O 3x³ − 2x² + 3x − 4
-
O
4x³ + 2x² + 6x + 3
O
4x³+4x²-3x - 3
Answers
Answer:
B
Step-by-step explanation:
a prime polynomial is one which does not factor into 2 binomials.
its only factors are 1 and itself
attempt to factorise the given polynomials
3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )
= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(3x² - 2) ← in factored form
--------------------------------------------------
3x³ - 2x² + 3x - 4 ( factor the first/second terms
= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored
thus this polynomial is prime
----------------------------------------------------
4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )
= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term
= (2x + 1)(2x² + 3) ← in factored form
-------------------------------------------------
4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )
= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term
= (x + 1)(4x² - 3) ← in factored form
--------------------------------------------------
the only polynomial which does not factorise is
3x³ - 2x² + 3x - 4
It's in the picture !
Answers
The position of √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.
What is Number line?A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.
Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.
The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.
If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:
To begin, determine the approximate square root values:
√17 is between 4 and 5, since 4² = 16 and 5² = 25.
√6 is between 2 and 3, since 2² = 4 and 3² = 9.
Place the number √17 closer to 5, between 4 and 5.
Place the number √6 between the numbers 2 and 3, closer to 2.
Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.
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Number line attached below,
PLEASE HELP WITH THIS ONE QUESTION
Answers
Answer:
Third one down
Step-by-step explanation:
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in
20.4 days
22.5 days
25.6 days
30.1 days
Answers
Let's assume that B can do the job alone in x days.
Then, according to the question, A can do the same job alone in (1/3)x days.
Also, we know that A takes 60 days less than B to finish the job, so:
(1/3)x = x - 60
Solving for x, we get:
x = 90
Therefore, B can do the job alone in 90 days and A can do the same job alone in (1/3) * 90 = 30 days.
To find out how long they take to finish the job together, we use the formula:
(AB)/ (A+B)
where AB is the product of their individual times and A+B is their combined time.
Plugging in the values, we get:
(30 * 90)/(30+90) = 22.5
Therefore, working together, they can finish the job in 22.5 days.
Answer: Option B - 22.5 days
Adam's sunflower plant was 147.087 centimeters tall in April. During May, the plant grew 62.4 centimeters. How tall was Adam's sunflower plant at the end of May? It is adding subtracting decimals
Answers
Answer:
209.487
Step-by-step explanation:
All you have to do is add 147.087+62.4 and you will get your answer of 209.487 I hope this helps :D
Please help the directions are at the top. You have to solve the problems to break the code
Answers
how
how you get 800 in 8000000 to 87777
5a - 25d factor using the GCF
Answers
Answer: 5(a-5d)
Step-by-step explanation:
The GCF (the largest number that can be factored evenly out of the expression is 5. Thus, we divide out 5 from the expression, leaving a and -5d inside of the paranthesis.
We can check our work by redistributing 5 to the factor within the parenthesis. This will prove whether or not your factoring is correct. In this case, taking out the 5 is the correct factorization.
Estimate 95.63+66.552 by first rounding each number to the nearest whole number
Answers
Answer:
162
Step-by-step explanation:
95.63 rounds up to 96
66.552 stays at 66
96+66=162
Is the figure line symmetric?
If yes, how many lines of symmetry does the figure have?
Snow flake
A.
No
B.
Yes; 3 lines of symmetry
C.
Yes; 6 lines of symmetry
D.
Yes; 12 lines of symmetry
Answers
The figure is indeed symmetric and the number of lines of symmetry the snowflake has is C. Yes; 6 lines of symmetry.
How many lines of symmetry does a snowflake have ?Generally a snowflake is hexagonal and has 6-way radial symmetry. Thus, one can rotate it 60 degrees (the sixth of full rotation) and it still appears the same.
So, overall, this means that a snowflake holds 6 lines of symmetry which divide it into two identical halves reflecting each other. Consequently, it can be rotated in 60-degree increments and still holds identicality. Akin to this final property, the snowflake artifact possesses six uniquely divided
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A study of 800 homeowners in a certain area showed that the average value of the homes was S82,000, and the standard deviation was S5000. If 50 homes are for sale, find the probability that the mean of the values of these homes is greater than $83,500. P(x > 583,500) Convert the answer to a percentage and round to the hundredth A study of 800 homeowners in a certain area showed that the average value of the homes was S82,000,and the standard deviation was $5000_ How many of these homes have a value greater than $83,500. Round to a whole number Answer:
Answers
The probability that the mean of the values of these homes is greater than $83,500 is 1.70 % .
Given :
A study of 800 homeowners in a certain area showed that the average value of the homes was S82,000, and the standard deviation was $5000. If 50 homes are for sale .
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = x - μ / σ / \(\sqrt{n}\)
μ = $82000, σ = 5000, n = 50. Hence for x > 83500:
= 83500 - 82000 / 5000 / \(\sqrt{50}\)
= 2.12
Probability = 1 - 0.9830
= 0.0170
converting into percentage :
= 0.0170 * 100 %
= 1.70 %
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Thomas has two containers, a rectangular prism and a cylinder, as shown below.Answer BOTH questions. A) Which of the containers has a greater volume? Explain your answer in words or by showing your work. Include units in your answer.B) Which of the containers has a greater surface area? Explain your answer in words or by showing your work. Include units in your answer.
Answers
Answer
Part A
Volume of the rectangular prism = 240 cm³
Volume of a cylinder = 352 cm³
The cylinder has a greater volume.
Surface Area of the rectangular prism = 268 cm²
Surface Area of the cylinder = 276.57cm²
The cylinder also has a greater surface area.
Explanation
Part A
Volume of a rectangular prism = LBH
L = Length of the rectangular prism = 10 cm
B = Breadth of the rectangular prism = 8 cm
H Height of the rectangular prism = 3 cm
Volume = (10)(8)(3) = 240 cm³
Volume of a cylinder = πR²H
R = Radius of the cylinder = (Diameter/2) = (8/2) = 4 cm
H Height of the cylinder = 7 cm
π = pi = (22/7)
Volume of a cylinder = πR²H = π (4²) (7) = 352 cm³
The cylinder has a greater volume.
Part B
Surface Area of a rectangular prism = 2 (LB + LH + BH)
L = Length of the rectangular prism = 10 cm
B = Breadth of the rectangular prism = 8 cm
H Height of the rectangular prism = 3 cm
Surface Area of the rectangular prism = 2 (LB + LH + BH)
Surface Area of the rectangular prism = 2 (10×8 + 10×3 + 8×3)
Surface Area of the rectangular prism = 2 (80 + 30 + 24) = 268 cm²
Surface area of a cylinder = 2πR² + 2πRH
R = Radius of the cylinder = (Diameter/2) = (8/2) = 4 cm
H Height of the cylinder = 7 cm
Surface Area of the cylinder = 2π(4²) + 2π(4)(7) = 32π + 56π = 88π = 276.57cm²
The cylinder also has a greater surface area.
Hope this Helps!!!
PLEASE HELP ME WILL GIVE BRAINLIEST
Answers
Answer:
1 3/4, 0
Step-by-step explanation:
You have to go 1 3/4 to the right and 0 up.
for a special fully discrete 20-year term insurance on (30): the death benefit is 1,000 during the first ten years and 2,000 during the next ten years.
Answers
The cost of the 20-year term insurance will be based on age, health, smoking, and other factors to determine the premium.
The cost of a special fully discrete 20-year term insurance on a 30-year-old would depend on a range of factors, including the insured's age, health, smoking status, and lifestyle. These factors would be used to calculate the risk of death during the 20-year term. The death benefit of 1,000 during the first ten years and 2,000 during the next ten years would also be taken into account when calculating the cost of the policy. Depending on the risk of death and the death benefits, the premium could vary significantly. For example, a 30-year-old in good health with no smoking history could pay less for the policy than a 30-year-old with a pre-existing condition and a smoking history. The premium could also be higher for individuals with riskier lifestyles. Ultimately, the cost of the 20-year term insurance will depend on the risk of death and the death benefit offered by the policy.
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I need help hereeeeeeee
Answers
Answer:
Step-by-step explanation:
Um 2 of them are white.
which expression is equivalent to this polynomial expression? 40 points
Answers
9514 1404 393
Answer:
A (as marked)
Step-by-step explanation:
It often works well to eliminate the answer choices that can't be right.
The constant term of the sum must be ...
-7 + 4 = -3 . . . . . eliminates choices B and D
The highest-degree term of the sum must be ...
( ) +(3x^2y^2) = 3x^2y^2 . . . . eliminates choice C
The remaining viable choice is A. Checking the sum term by term, you find A is the correct choice.
__
The only terms that combine are the xy^2 terms and the constants.
Answer:
its a
Step-by-step explanation:
Please Help Due Soon!
Answers
y = 1/3x +b
1 = 1/3(9) +b
1 = 3 +b
subtract 3 from both sides
-2 = b
y = 1/3x - 2Using traditional methods it takes 107 hours to receive an advanced flying license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.
What is the conclusion?
A. There is sufficient evidence at the 0.020 level of significance that the new technique reduces training time.
B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.
Answers
Answer:
B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.
Step-by-step explanation:
We are given that using traditional methods it takes 107 hours to receive an advanced flying license.
A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.
Let \(\mu\) = average training time to receive an advanced flying license
So, Null hypothesis, \(H_0\) : \(\mu \geq\) 107 hours {means that the new technique doesn't reduce training time}
Alternate Hypothesis, \(H_A\) : \(\mu\) < 107 hours {means that the new technique may reduce training time}
Now, it is stated that after performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.
As we know that if the test statistics value is rejected at a 10% level of significance, then it must not be rejected at the 0.02 level of significance.
This means that there is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time because our null hypothesis has not been rejected.
If f(y)=5y-3 determine the value of y when f(y)=-8
Answers
The value of y when f(y) = -8 is -1.
Given,
f(y) = 5y - 3
We have to find the value of y if f(y) is given as -8
f(y) = 5y - 3
Substitute f(y) = -8 in the expression.
-8 = 5y - 3
Add 3 to both sides
-8 + 3 = 5y - 3 + 3
We get,
3 - 8 = 5y
That is,
-5 = 5y
Divide both sides by 5
-5/5 = 5y/5
Then,
-1 = y
That is, the value of y when f(y) = -8 is -1.
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A soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth. 28.26 gallons 113.04 gallons 211.38 gallons 845.54 gallons
Answers
The volume of the cylindrical water cooler is 211.38 gallons. Therefore, option C is the correct answer.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, a soccer player has a large cylindrical water cooler that measures 3 feet in diameter and is 4 feet tall.
Now, radius = 3/2 =1.5 feet
We know that, the formula to find the volume of a cylinder is πr²h.
Here, 3.14×1.5²×4
= 28.26 cubic feet
In gallons = 28.26×7.48
= 211.38 gallons
Therefore, option C is the correct answer.
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The correct option is C, 211.38. Hope this helps :)