A 12 oz can of soda has a mean volume of 12 oz, with a standard deviation of .25 oz. How
common are cans with less than 11.5 oz of soda?
Answers
Answer:
Step-by-step explanation:
My answer would be very common because every soda can isn't filled to the very top, a soda can may say 12 ounces when really it's less than 12. I would say soda cans aren't really 12 ounces because the air inside wants to get out of the can once you open it.
Related Questions
I need the inequality and solution
Answers
Answer:
8
Step-by-step explanation:
The following table (Table C2.1) is a partial listing of the sales transactions for the Watson Distributing Company for the year ended December 31, 200X. Select the first three sample items from the population using the following techniques. a. The systematic selection technique with a random starting point of 13 and a sampling interval of 30. b. The probability-proportional-to-size sampling selection technique with a random starting dollar of $17,240 and a sampling interval of $220,000. c. The random-number table selection technique using Figure 2.1 on pp. 24-25. Using the last four digits of the invoice number, begin at row (0004) and column (01), continuing across the row and then down to the beginning of the next row.
Answers
The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.
Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.
Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.
The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.
The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.
The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.
The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.
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a rectangle below has an area 84 cm saquered, what is half of the rectangle area?
Answers
Select all the equations that are equivalent to y-4 =2/3(x-1)
Answers
The equivalent equations of y - 4 = 2/3(x - 1) are y - 4 = 2/3x - 2/3 and y = 2/3x + 10/3
How to determine the equivalent equation?From the question, we have the following parameters that can be used in our computation:
y - 4 = 2/3(x - 1)
We start by expanding the bracket
So, we have the following representation
y - 4 = 2/3x - 2/3
Next, we add 4 to both sides of the equation
This gives
y - 4 + 4 = 2/3x - 2/3 + 4
Evaluate the like terms
So, we have the following representation
y = 2/3x + 10/3
Hence, the equivalent equation is y = 2/3x + 10/3
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Which set of angles will be complimentary
Answers
∠1 + ∠3 + 90° = 180°
∠1 + ∠3 = 90°
∠3 = ∠4 (vertically opposite angles)
∠1 + ∠4 = 90°
Therefore, the answer is ∠1 + ∠4
Use the hundredth grids to answer the question.
Which equation is shown by the model?
See picture below
Answers
Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).
How to identify the correct equation?To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.
In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.
On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:
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A man wants to mesure the height of a nearby building. He places a 7ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building’s shadow is 162ft, the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot.
Answers
The height of the building is approximately 227 feet.
In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.
The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.
As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.
Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF
On substituting the values from the given data, we get:
AE/(EF + 5.5) = 7/5.5.... (1)
Similarly, we can write from the given data:
BD/DF = 162/5.5.... (2)
From equations (1) and (2), we can write:
AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)
On solving the above equation for AE, we get:
AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft
Therefore, the height of the building is approximately 227 feet.
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A museum there is a sculpture in the shape of a cylinder. The cylinder has a diameter of 36 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
Group of answer choices
A π (36)2h
B π (36h)2
C π (18)2h
D π (18h)2
Answers
Answer:
Option C is correct.
Step-by-step explanation:
Given: The cylinder has a diameter of 36 feet and a height of h feet.
To find: volume of the cylinder in cubic feet
Solution:
Diameter of a cylinder = 36 feet
Radius of a cylinder = Radius ÷ 2
\(=\frac{36}{2} =18\) feet
Height of a cylinder = h feet
Volume of a cylinder = \(\pi r^2h\)
Put \(r=18\) feet
Therefore,
Volume of a cylinder = \(\pi (18)^2h\) cubic feet
So, option C is correct.
Please help!
Thanks in advance.
Answers
Answer:
y = (1/4)x + 5/2
Step-by-step explanation:
The lines slope needs to be opposite of the equation's so its positive (1/4)
This is the only slope listed that is that number so no need to calculate for the y value!
Benjamin invested an amount of $12,000.00 in a mutual fund. After 4 years and 6 months the accumulated value of his investment was $13,407.58. What is the nominal interest rate of the investment if interest is compounded semi-annually?__________%Round to two decimal places
Answers
Given:
The accumulated value of investment is A = 13,407.58.
The invested amount is P = 12,000.00.
The time period is 4 years and 6 months.
Explanation:
The formula for the accumulated value at r rate of interest is compounded semi-annually.
\(A=P(1+\frac{r}{200})^{2\cdot t}\)Substitute the values in the formula to determine the value of r.
\(\begin{gathered} 13407.58=12000(1+\frac{r}{200})^{2\cdot4.5} \\ \frac{13407.58}{12000}=(1+\frac{r}{200})^9 \\ 1+\frac{r}{200}=(\frac{13407.58}{12000})^{\frac{1}{9}} \\ \frac{r}{200}=1.01239-1 \\ r=0.01239\cdot200 \\ =2.478 \\ \approx2.48 \end{gathered}\)So the rate of interest is 2.48%.
PLZ HURRY IM RUNNING OUT OF TIME!!
Answers
Answer:
C-69%
Step-by-step explanation:
36-11=25
25/36=.694~69%
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of acts on a certain object, the acceleration of the object is . If the acceleration of the object becomes , what is the force?
Answers
If the acceleration of the object becomes 9m/s², the force will be 24N
How to calculate the force?From the information, the moving object, the force acting on the object varies directly with the object's acceleration. When a force of 36N acts on a certain object, the acceleration of the object is 6m/s². The constant will be:
y = k/x
y = force.
x = acceleration
k = constant of proportionality.
k = 36 × 6
k = 216
If the acceleration of the object becomes 9m/s², the force will be:
= 216 / 9
= 24
The force is 24N.
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Find the value of L that Will Maximize the profit Q=L²e^0.01L
Answers
The minimum profit occurs at L = 0, where Q = 0.
To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).
We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.
Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.
Testing for critical points:Q = L²\(e^{(0.01L)\)
Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)
= 0(2L + 0.01L²) \(e^{(0.01L)\)
= 0L (critical point) or 200 \(e^{(0.01L)\)
= 0 (extraneous, ignore)
2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)
The only critical point is at L = 0.
Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)
= \(2e^{(0)\) = 2Since Q''(0) > 0,
The critical point at L = 0 is a minimum.
Therefore, there is no value of L that maximizes the profit.
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The values of L that will maximize the profit are 0 and -200
Finding the value of L that will maximize the profitFrom the question, we have the following parameters that can be used in our computation:
\(Q = L\²e^{0.01L\)
Differentiate the function
So, we have
\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)
Set the equation to 0
\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)
Cross multiply
\(L \cdot (L + 200) \cdot e^{0.01L} =0\)
When expanded, we have
L = 0, L + 200 = 0 and \(e^{0.01L} =0\)
When solved for L, we have
L = 0 and L = -200
Hence, the values of L are 0 and -200
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Howard is organizing a 5-day cycling race. For each day of the race, he will choose one of 10 possible routes. If no route is to be repeated during the race, how many different route arrangements are possible?
Answers
According to the data, the number of different possibilities Howard has is: 3,628,000.
How to calculate how many possibilities Howard has for the routes of the stages of the race?To find the number of possibilities that Howar has for the routes of the stages of the race we must use the formula that is in the attached image. Additionally, we must take into account that the values of n and x correspond to the total of possible routes and the routes that he needs.
n = 10x = 5In this case, we only have to replace the values and obtain the result:
C = 10! / 5! (10-5)!C = 3,628,000Based on the information, it can be inferred that Howard has 3,628,000 chances to combine the routes in the 5 available stages of his career.
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1) Is it possible to end up with two different prime factorizations for a number, or will you always end up with the same list of prime factors?
2) What was true about all of the numbers in the final lists of factors? Why?
3) Can two different numbers have the same prime factorization? Why or why not?
4) Explain how writing a number as a product of prime numbers is a way of representing that number.
How does knowing that the prime factorization of 40 is 2 × 2 × 2 × 5 help you know every possible factor of 40?
5) How is what you did in the Action Task related to the colour code in the Minds On Activity?
Answers
1) A prime factorization of a particular number will always give the same prime factors.
2) All the factors in the list when multiplied will give the original number.
3) No, two different numbers cannot have the same prime factorization.
4) The prime factors of 40 are 2 and 5.
1) We anticipate finding factors in prime factorization that can add to themselves to get the original number. The original number can be obtained by multiplying the remaining components together as long as the first factor can divide the quantity without leaving a remnant.
Prime factorization of the number, 15 goes thus;
15/3=5
5/5=1
3*5=15
So, all the factors multiply to give the original number.
2) Numbers that split an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal halves.
3) The collection of prime numbers that can be multiplied together to produce a given number is known as the prime factorization of that number. Because the same set of numbers must provide the same result when multiplied together, two separate numbers cannot have the same prime factorization.
4) Any number can be represented as a sum of prime numbers using prime factorization. A number with exactly two elements, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2 3 3. Here, the two main elements or prime factors of 18 are 2 and 3.
The prime factorization of 40 is :
40 = 2 × 2 × 2 × 5
Hence, the prime factors of 40 are 4 and 5.
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A group of 500 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.
a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports 22 percent, documentaries, reality 20 percent, and sci-fi 20 percent
How many middle school students prefer the Documentaries television genre?
24
76
120
86.4
Answers
The number of the students that prefer documentaries is 120.
What is the number that prefer documentaries?We know that in this case, we are dealing with the pie chart and that it is a representation of the preferences of each of the students that we have in the data set that is given.
We can see that;
Number that prefer documentaries = 22 %
Total number of the students = 500
We then have;
Number that prefer documentaries = 22/100 * 500
= 120
Hence, we have 120 students that prefer documentaries.
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Joey’s math average in the first quarter was an 83. In the second quarter, his average was 93. What was the approximate percent increase in his math average?
Answers
The approximate percent increase in his math average is 12%
How to find the approximate percent increase in his math average?
A percentage is defined as the ratio that can be expressed as a fraction of 100.
percent increase in math average = (difference in average/initial average) * 100
percent increase in math average = (93 - 83)/83 * 100
percent increase in math average = 10/83 * 100
percent increase in math average = 12%
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i need serious help someone pleaseeeee
Answers
The value of c in the polynomial is - 7.
How to solve polynomials?The polynomial is given as follows:
p(x) = 2x³ - x² + cx + 2 . The value of c if x - 2 is a factor of p(x) can be computed as follows:
Therefore,
p(x) = 2x³ - x² + cx + 2
when x - 2 is a factor, p(x) = 0
Therefore,
0 = 2x³ - x² + cx + 2
Hence,
2(2)³ - (2)² + 2c + 2 = 0
16 - 4 + 2c + 2 = 0
12 + 2 + 2c = 0
2c = - 14
divide both sides by 2
c = - 14 / 2
c = - 7
Therefore,
c = -7
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What number lies exactly halfway between 1/5 and 1/9?
Answers
Answer:
7/45
Step-by-step explanation:
What number lies exactly halfway between 1/5 and 1/9?
you have to find the mean of the two fractions, adding and then dividing by two
(1/5 + 1/9) : 2 =
14/45 : 2 =
7/45
x = -9 and y = 2 plz help me plz
Answers
Answer: 9 and -2
Step-by-step explanation: because of the way it's writen.
PLEASE ANSWER AS SOON AS POSSIBLE
What is the area of this parallelogram?
Answers
Answer:
40 square feet
Step-by-step explanation:
area of parallelogram is base x height
Answer:
40
Step-by-step explanation:
Area of parallelogram = (b)(h)
A = (5)(8)
A = 40
Nick bought a video game for $55, which has 20% off the original price. What was the original price?.
A.$59.25
B.$68. 75
C. $75.15
D. $110.00
Answers
Answer:
i think b
Step-by-step explanation:
The original price of the video game was B.$68. 75
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Nick bought a video game for $55, which has 20% off the original price.
Let '$x' be the original price of the video game.
So, 80% of 'x' is $55.
∴ (80/100)x = 55.
0.8x = 55.
x = 55/0.8.
x = 68.75.
So, The original price of the video game is $68.75.
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The product of two numbers is 1536.
If the HCF of the two numbers is 16.
find the LCM of these two numbers.
Answers
Work Shown:
LCM = (product of two numbers)/(HCF of the two numbers)
LCM = 1536/16
LCM = 96
Can someone please help me thank you
Answers
Answer:
9. 4/5
10. 3/4
11. 1/4
12. 1/8
13. 1/11
14. 1/9
15. 9/10
16. 1/10
Step-by-step explanation:
ur welcome
Evaluate v(x) = 14 – 3x when x = -3,0, and 4.
v(-3) =
v(0) =
v(4) =
Answers
\(v(x) = 14 - 3x\\v(-3) = 14 - 3 \cdot (-3) = 14 + 9 = 23\\v(0) = 14 - 3 \cdot 0 = 14 - 0 = 14\\v(4) = 14 - 3 \cdot 4 = 14 - 12 = 2\)
which is the following is true about the graph of linear inequalities?
a.)it is a line
b.)it is a parabola
c.)it os a curve
d.)it is a half-plane
Answers
Answer:
d.) half-plane..
Reason:
A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
The table below shows a company's Manufacturing Cost, Overhead, Total
Sales, Profit, and Dividend per Shareholder over 4 years. Assume the
relationships among Manufacturing Cost, Overhead, Total Sales, Profit,
and Dividend per Shareholder remain the same over the years.
What should have been the Dividend per Shareholder in 2017,
assuming the number of Shareholders has remained unchanged
during the period 2017-2020?
SELECT ONE ANSWER
$17.45
$19.50
$20.00
$25.00
Answers
The Dividend per Shareholder in 2017 is $20.
As, Dividend per Shareholder = Profit / Number of Shareholders
Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.
Based on the given table, the profit for 2017 is $7,000.
Dividend per Shareholder in 2017
7000/x = 15500 / 44.29
7000/x = 349.966
x = 7000/349.966
x= 20.01
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The original selling price was $154.30 The sale price was $127.92 What is the first step in finding the percent markdown?
Answers
Answer:
subtract the new price from the original price
Step-by-step explanation:
To find the percent markdown, first subtract the new price from the original price
154.30-127.92
26.38
Then divide by the original price
26.38/154.30
.170965651
Multiply by 100% to get the percent decrease
17.0965651% decrease
The extended warranty on a garage door is $238. If the warranty costs 35% of the purchase price, how much does the garage door itself cost, to the nearest dollar? a. $833 b. $393 c. $740 d. $680 Please select the best answer from the choices provided A B C D
Answers
Answer:$680
Step-by-step explanation:
what are two numbers have a product of 20 and a sum of 9
Answers
Answer:
Step-by-step explanation: