Answer:
Explanation:
Each baking tray can hold 6 muffins.
(a) If Amy bakes 4 tray of muffins, the number of muffins she will have in all will be:
\(\begin{gathered} =4\times6 \\ =24\text{ muffins} \end{gathered}\)(b)The corner bakery produced 10 times as many muffins
The number of muffins produced by the bakery will therefore be:
\(\begin{gathered} =10\times24 \\ =240\text{ muffins} \end{gathered}\)Which statement is true?
A Two points can be noncollinear.
B Any two points can be noncoplanar.
C Any two points are sufficient to determine a line.
D Two points are sufficient to determine a plane.
Answer:
C is true as 2 pionts = a line
Step-by-step explanation:
I'm smartest in my class
(x - 5)(2x + 5y)(3x - 8)
Answer:
=6x3+15x2y−46x2−115xy+80x+200y
Step-by-step explanation:
!!!!!! I need help asap
Answer:
3.2
Step-by-step explanation:
Answer:
pythagorean theorem !!!!!!
Step-by-step explanation:
0.8²+1.6²=3.2²
0.64+2.56=10.24
THAT means the distance is
\( \sqrt{10.24} \)
=3.2miles
The sun is at a focus of Earth's elliptical orbit.
a. Find the distance from the sun to the other focus.
The distance from the sun to the other focus is 5.01 × 10⁹ m.
What is the distance from the sun?
(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;
2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.
(b) To express this in terms of solar radii, we set up a ratio;
(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2
Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.
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Complete question is;
The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.
Eric puts two angles together to form a straight angle one angle measures 115 degrees what is the measurements of the other angle
Answer:
Una secadora de cabello tiene una resistencia de 10Ω al circular una corriente de 6 Amperes, si está conectado a una diferencia de potencial de 120 V, durante 18 minutos ¿Qué cantidad de calor produce?, expresado en calorías
Answer:
65 degrees
Step-by-step explanation:
The measure of a straight angle is 180 degrees
115-180=65
If a public utility company is considered a monopolist, which of the following is not true? A. The company's demand curve and supply curve are upward sloping. B. Its price must be higher than its marginal revenue. C. For the company to practice price discrimination, there should not be any resale of its product. D. Its profit maximizing quantity is determined where its marginal revenue equals its marginal cost.
For the company to practice price discrimination, there should not be any resale of its product, is not true if a public utility company is considered a monopolist. This is because price discrimination involves charging different prices to different groups of customers based on their willingness to pay. Resale of the product can actually facilitate price discrimination as it allows different customers to buy the product at different prices and then resell it to others. The other options are true for a monopolist, such as having upward sloping demand and supply curves, charging a price higher than its marginal revenue, and determining profit maximizing quantity at the point where marginal revenue equals marginal cost.
Let's analyze each statement:
A. The company's demand curve and supply curve are upward sloping.
This statement is NOT true for a monopolist. A monopolist faces a downward sloping demand curve, which means that they can increase the quantity sold by lowering the price. The supply curve does not apply in the traditional sense for monopolists, as they have the power to set both the price and quantity produced.
B. Its price must be higher than its marginal revenue.
This statement is true for a monopolist. Under a monopoly, the price charged by the company is higher than its marginal revenue due to the downward-sloping demand curve.
C. For the company to practice price discrimination, there should not be any resale of its product.
This statement is true. In order for a monopolist to successfully engage in price discrimination, they must prevent the resale of their product, ensuring that consumers cannot undercut the monopolist's pricing strategy.
D. Its profit maximizing quantity is determined where its marginal revenue equals its marginal cost.
This statement is true. A monopolist maximizes its profit by producing the quantity where marginal revenue equals marginal cost, and then setting the price based on the demand curve at that quantity.
So, the statement that is NOT true for a public utility company considered as a monopolist is: A. The company's demand curve and supply curve are upward sloping.
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The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is
°C higher than the average daily minimum temperature.
Answer: 26.55°C
Step-by-step explanation:
Average daily maximum temperature in Syracuse = 21.85°C
Average daily minimum temperature = -4.7°C
In order to solve the question, we calculate the difference between the two temperature given. This will be:
= 21.85°C - (-4.7°C)
= 21.85°C + 4.7°C
= 26.55°C
Which determines the fewest number of operations required for a given n.
a. worst-case analysis
b. average-case analysis
c. best-case analysis
d. usual-case analysis
Best-case analysis refers to finding the scenario in which an algorithm performs most efficiently, requiring the fewest number of operations.(option c)
This analysis is useful for understanding the lower bound or the best-case time complexity of an algorithm. In contrast, worst-case analysis considers the scenario where the algorithm performs least efficiently and requires the maximum number of operations.
Average-case analysis takes into account the expected or average input and calculates the average number of operations. Usual-case analysis is not a commonly used term in computer science and may not be as relevant in this context. Therefore, best-case analysis is the term that specifically addresses the fewest number of operations required for a given n.
The term that determines the fewest number of operations required for a given n is the best-case analysis. It focuses on the best possible input that the algorithm can encounter.
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Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Sebastian have to pay for parking if he left his car in the lot for 2 hours? How much would Sebastian have to pay if he left his car in the lot for tt hours?
Cost for 2 hours:
Cost for t hours:
Answer:
1. 16$
2. 10+3(t)=$
Step-by-step explanation:
1. 10+3+3=16
In the regression model we talked about in class, we assume that for each training data point x, its output value yi is observed. However in some situations that we can not measure the exact value of yi. Instead we only have information about if yi Is larger or less than some value zi. More specifically, the training data is given as a triplet (x,, 2i, bi), where ·Xi Is represented by a vector φ(K)-( 40(Xi), . . . , фМ-1 (Xi)) ' . 2 zi E R is a scalar, bi E 10, 1) is a binary variable indicating that if the true output yi is larger than (b,-1) or not bi 0 Develop a regression model for the ambiguous training data (X,, 2,, bi), i- 1, , n
ФФФФФФФФФ↑↑→≅≅≅≅≅≅≅≅≅≅НЧШДЦ
he united states has roughly 220 million cars for 300 million people. that equates to approximately 73% of all americans owning a car. china currently has 32 million cars for 1.3 billion people. if china suddenly had the same amount of car ownership as america how many cars would they have?
If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.
The United States has roughly 220 million cars for 300 million people. That equates to approximately 73% of all Americans owning a car. China currently has 32 million cars for 1.3 billion people. If China suddenly had the same amount of car ownership as America, they would have approximately 947 million cars.To calculate the number of cars China would have if they suddenly had the same amount of car ownership as America, we can use the following formula: 220 million / 300 million
= x / 1.3 billion We can then cross-multiply to solve for x:300 million * x
= 1.3 billion * 220 million x
= (1.3 billion * 220 million) / 300 million x
= 947 million. If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.
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Waldo Books needs to decide how many copies of a new hardcover release to purchase for its shelves. The store has assumed that demand will be 50, 100, 150, or 200 copies next month, and it needs to decide whether to order 50, 100, 150, or 200 books for this period. Each book costs Waldo $20 and can be sold for $30. Waldo can sell any unsold books back to the supplier for $4.
(a) Which option should Waldo choose if it uses the maximax criterion?
(b) Which option should Waldo choose if it uses the maximin criterion?
(c) Which option should Waldo choose if it uses the equally likely criterion?
(d) Which option should Waldo choose if it uses the criterion of realism with a = 0.7?
(e) Which option should Waldo choose if it uses the minimax regret criterion?
Answer:
(a) Maximax criterion: Order 200 books.
(b) Maximin criterion: Order 200 books.
(c) Equally likely criterion: Order 200 books.
(d) Criterion of realism with a = 0.7: Calculate the expected payoff based on the chosen value of a and select the corresponding option.
(e) Minimax regret criterion: Order 200 books.
Step-by-step explanation:
The maximax criterion involves selecting the option with the highest possible payoff. We will calculate the maximum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:
Revenue = 30 * 50 = $1500
Maximum payoff = $1500Payoff for ordering 100 books:
Revenue = 30 * 100 = $3000
Maximum payoff = $3000Payoff for ordering 150 books:
Revenue = 30 * 150 = $4500
Maximum payoff = $4500Payoff for ordering 200 books:
Revenue = 30 * 200 = $6000
Maximum payoff = $6000Based on the maximax criterion, Waldo should choose the option of ordering 200 books since it has the highest maximum payoff.(b) Maximin Criterion:
The maximin criterion involves selecting the option with the highest minimum payoff. We will calculate the minimum payoff for each option and choose the one with the highest value.Payoff for ordering 50 books:
Revenue = 30 * 50 - (20 * 50 - 4 * 50) = $900
Minimum payoff = $900Payoff for ordering 100 books:
Revenue = 30 * 100 - (20 * 100 - 4 * 100) = $1800
Minimum payoff = $1800Payoff for ordering 150 books:
Revenue = 30 * 150 - (20 * 150 - 4 * 150) = $2700
Minimum payoff = $2700Payoff for ordering 200 books:
Revenue = 30 * 200 - (20 * 200 - 4 * 200) = $3600
Minimum payoff = $3600Based on the maximin criterion, Waldo should choose the option of ordering 200 books since it has the highest minimum payoff.(c) Equally Likely Criterion:
The equally likely criterion assumes that each demand level is equally likely to occur. We will calculate the expected payoff for each option and choose the one with the highest value.Expected payoff for ordering 50 books:
Expected revenue = (30 * 50 + 4 * (50 - 50)) / 4 = $375
Expected payoff = $375Expected payoff for ordering 100 books:
Expected revenue = (30 * 100 + 4 * (50 - 100)) / 4 = $750
Expected payoff = $750Expected payoff for ordering 150 books:
Expected revenue = (30 * 150 + 4 * (50 - 150)) / 4 = $1125
Expected payoff = $1125Expected payoff for ordering 200 books:
Expected revenue = (30 * 200 + 4 * (50 - 200)) / 4 = $1500
Expected payoff = $1500Based on the equally likely criterion, Waldo should choose the option of ordering 200 books since it has the highest expected payoff.(d) Criterion of Realism with a = 0.7:
The criterion of realism involves assigning a weight (0 ≤ a ≤ 1) to the optimistic payoff and the remaining weight (1 - a) to the pessimistic payoff. We will calculate the expected payoff for each option using the given value of a and choose the one with the highest value.Expected payoff for ordering 50 books:
Expected revenue = a * (30 * 50) + (1 - a) * (30 * 50 - 20 * 50 + 4 * 50) = $450a
Expected payoff = $450aExpected payoff for ordering 100 books:
Expected revenue = a * (30 * 100) + (1 - a) * (30 * 100 - 20 * 100 + 4 * 100) = $900a
Expected payoff = $900aExpected payoff for ordering 150 books:
Expected revenue = a * (30 * 150) + (1 - a) * (30 * 150 - 20 * 150 + 4 * 150) = $1350a
Expected payoff = $1350aExpected payoff for ordering 200 books:
Expected revenue = a * (30 * 200) + (1 - a) * (30 * 200 - 20 * 200 + 4 * 200) = $1800a
Expected payoff = $1800aTo find the maximum expected payoff, we can compare the values of a * 450, a * 900, a * 1350, and a * 1800 for different values of a. The optimal value of a will determine the corresponding option.(e) Minimax Regret Criterion:
The minimax regret criterion involves calculating the regret for each option and selecting the one with the minimum regret. Regret represents the difference between the maximum possible payoff and the actual payoff.Regret for ordering 50 books:
Regret = 6000 - (30 * 50 - (20 * 50 - 4 * 50)) = $5250
Minimum regret = $5250Regret for ordering 100 books:
Regret = 6000 - (30 * 100 - (20 * 100 - 4 * 100)) = $4200
Minimum regret = $4200Regret for ordering 150 books:
Regret = 6000 - (30 * 150 - (20 * 150 - 4 * 150)) = $3150
Minimum regret = $3150Regret for ordering 200 books:
Regret = 6000 - (30 * 200 - (20 * 200 - 4 * 200)) = $2100
Minimum regret = $2100Based on the minimax regret criterion, Waldo should choose the option of ordering 200 books since it has the minimum regret.
Waldo Books is facing a decision theory problem. By different criteria, the decision to order books can change. By maximax, Waldo should order 200 books, by maximin, 50 books. By equally likely, realism, and minimax regret criteria, computations considering payoffs, optimism levels, and potential regrets are needed.
Explanation:This is a "decision theory problem" in the field of business and economics. Let's calculate the profit from each option. Profit will be $10 for each book sold (revenue of $30 minus cost of $20) and a loss of $16 for each book not sold (cost of $20 minus resell value of $4).
Maximax criterion is when Waldo selects the alternative with the highest possible outcome. In this case, Waldo should order 200 books as he could make the most profit if demand is also at 200. Maximin criterion is when Waldo chooses the option with the best worst-case scenario. Here, Waldo should order 50 books as this would minimize the potential for unsold books. For the equally likely criterion, each level of demand is assumed to be equally probable, so the average profit for each order size should be calculated. The number with the highest average profit should be chosen. In the criterion of realism (also considered a 'compromise' criterion), there's a coefficient of optimism (a value between 0 and 1) that measures the decision-maker's optimism. Here, 'a' is 0.7. The larger the 'a', the more optimistic the decision-maker is. We calculate [a*(max payoff)+(1-a)*(min payoff)] for each alternative and pick the largest. The minimax regret criterion is about minimizing the maximum regret. Regret is the difference between the payoff from the best decision and all other decision payoffs. The decision with the smallest maximum 'regret' is chosen. Learn more about Decision Theory here:
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select all answer choices that show a correct comparison A 1/2 < 1/5 B 3/5 > 3/10 C 2/8 < 1/4 D 5/6 > 2/5 E 5/10 > 2/5 HELP WANTED
The true inequalities are:
B) 3/5 > 3/10
D) 5/6 > 2/5
E) 5/10 > 2/5
Which options show a correct compairison?Here we want to see which ones of the given inequalities are true.
Remember that an inequality:
A > B
Is true if the value of A is larger than the one of B.
From the given inequalities, the true ones are:
B) 3/5 > 3/10
That is true because the denominator is smaller on the left side.
D) 5/6 > 2/5
We can rewrite these fractions at:
25/30 > 10/25
E) 5/10 > 2/5
2.5/5 > 2/5
This is also true.
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The table above gives population and employment numbers for a hypothetical country. What is the unemployment rate in this country? Round your answer to the nearest whole percent if necessary
WHAT IS THE ANSWER HELP lol
Answer:B. 17%
A.83%
B.17%
C.20%
D.10%
The unemployment rate in this hypothetical country is equal to 17%.
How to calculate unmployment rate.First of all, we would determine the percentage of people that are employed and then subtract this percentage from the total percentage of 100%.
The table below gives the complete information about the population and employment numbers for a hypothetical country:
Total population = 1,000Total population over 16 years of age = 800Total labor force = 600Total employment = 500Mathematically, employment rate can be calculated by using this formula:
\(Employment\;rate = \frac{Employed}{Labor\;force} \times 100\\\\Employment\;rate =\frac{500}{600} \times 100\\\\\)
Employment rate = 83.3 ≈ 83%.
For the unemployment rate, we have:
Unemployment rate = 100 - 83
Unemployment rate = 17%.
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$63. (If the answer is negative, include a negative sign in your answer. Round the final answer to one decimal place.)
The final answer remains as $63.
To provide a clear and concise answer to the given question, let's break it down step by step:
1. Start by calculating the answer to the expression given, which is $63.
2. Since there is no operation or equation provided in the question, we can assume that the expression itself is the answer. Therefore, the answer is $63.
3. As the question asks to include a negative sign in the answer if it is negative, we need to determine if $63 is positive or negative.
4. In this case, $63 is a positive value because it is not preceded by a negative sign or any operation that would make it negative. So, the answer remains as $63.
5. Finally, round the final answer to one decimal place. However, since $63 is a whole number, we do not need to round it. Therefore, the final answer remains as $63.
In summary, the clear and concise answer to the given question is $63.
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3x + 4y = 22
3x - 4y = 14
Process time at a workstation is monitored using sample mean and range control charts. Six samples of n = 15 observations have been obtained and the sample means and ranges computed (in minutes) as follows: Sample 1 Range .49 1.41 2 3 Mean 13.30 3.16 3.21 3.30 3.27 3.20 .47 14 5 6 .49 .46 .54 What are the upper and lower limits for sample mean control chart? (Round the intermediate calculations to 2 decimal places. Round the final answers to 2 decimal places.) OLCL = 3.22, UCL = 3.53 OLCL = 3.13, UCL = 3.35 OLCL = 3.32, UCL = 3.64 LCL = 3.04, UCL = 3.42 ОО O It cannot be calculated.
The upper and lower limits for the sample mean control chart are:
UCL = 6.66
LCL = 3.36
To calculate the upper and lower limits for the sample mean control chart, we need to use the given data and formulas.
Sample size (n) = 15
Sample mean values: 13.30, 3.16, 3.21, 3.30, 3.27, 3.20
Range values: 0.49, 1.41, 2, 3, 0.47, 14, 5, 6, 0.49, 0.46, 0.54
First, we calculate the average range (R-bar) using the range values:
R-bar = (Sum of ranges) / (Number of samples)
R-bar = (0.49 + 1.41 + 2 + 3 + 0.47 + 14 + 5 + 6 + 0.49 + 0.46 + 0.54) / 11
R-bar ≈ 2.86 (rounded to 2 decimal places)
Next, we use the average range (R-bar) to calculate the control limits for the sample mean chart:
Upper Control Limit (UCL) = X-double bar + A2 * R-bar
Lower Control Limit (LCL) = X-double bar - A2 * R-bar
Where X-double bar is the average of sample means and A2 is a constant based on the sample size (n). For n = 15, A2 is 0.577.
Calculating the average of sample means (X-double bar):
X-double bar = (Sum of sample means) / (Number of samples)
X-double bar = (13.30 + 3.16 + 3.21 + 3.30 + 3.27 + 3.20) / 6
X-double bar ≈ 5.01 (rounded to 2 decimal places)
Calculating the control limits:
UCL = 5.01 + 0.577 * 2.86 ≈ 5.01 + 1.65 ≈ 6.66 (rounded to 2 decimal places)
LCL = 5.01 - 0.577 * 2.86 ≈ 5.01 - 1.65 ≈ 3.36 (rounded to 2 decimal places)
Therefore, the upper and lower limits for the sample mean control chart are:
UCL = 6.66
LCL = 3.36
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Find the missing frequencies in the chart, i’m so lost y’all please. high points and i’ll give u bonus if it’s correct
Answer:
0.2177;
29;
170
Step-by-step explanation:
Relative frequency is the expression, in decimal, of the number of times a particular response or answer occurs in the chart.
Relative frequency = frequency of a response ÷ total number of people in the sample
Cumulative frequency, on the other hand is simply the accumulated sum of all previous frequencies plus that of the current row.
In the table given, the first row says:
37 people (frequency), out of 170 people have 0 siblings.
Relative frequency = 37/170 = 0.2177
Third row:
The frequency of those who responded that they have 2 siblings can be gotten by simply multiplying the relative frequency by 170 = 0.1706*170 = 29
Last row:
The cumulative frequency will give us the total people surveyed. Thus: 31 + 139 = 170
Solve the equation. 3 + |t + 4| = 10
Question 9 options:
[-3, 11]
[-11, 3]
[3, 11]
[-3, -11]
Answer:
b) [-11, 3]
Step-by-step explanation:
Given equation,
→ 3 + |t + 4| = 10
Now the value of t will be,
→ 3 + |t + 4| = 10
→ 3 + t + 4 = 10 || → 3 -(t + 4) = 10
→ t + 7 = 10 || → -t - 1 = 10
→ t = 10 - 7 || → -t = 10 + 1
→ [ t = 3 ] || → [ t = -11 ]
Hence, value of t is 3 (or) -11.
Chord AC intersects chord BD at point P in circle Z.
AP=12 m
DP=5 m
PC=6 m
What is BP?
Enter your answer as a decimal in the box.
_______ m
The length of BP is 14.4 meters.
To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.
Using this property, we can set up the equation:
AP * PC = BP * DP
Substituting the given values:
12 m * 6 m = BP * 5 m
Simplifying:
72 m^2 = BP * 5 m
To solve for BP, divide both sides of the equation by 5 m:
72 m^2 / 5 m = BP
Simplifying:
14.4 m = BP
Therefore, the length of BP is 14.4 meters.
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What is the measurement of angle 2
Elea is 1.6 m tall. She stands on the
same horizontal level as the base of a
tree. The height of the tree is 23.5 m,
and it is 100 m away from Elea.
Find the angle of elevation of Elea's
line of sight to the top of the tree.
The angle of elevation of Elea's line of sight to the top of the tree is 12.4°
What is angle of elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
The vertical distance or height from the line of sight to the top of the tree is
23.5 - 1.6
= 21.9
This means the height will be the opposite to the angle of elevation and the distance between Elea and the tree is the adjascent.
Using trigonometry;
If tetha is the angle of elevation
tan(tetha) = opp/adj
tan(tetha) = 21.9/100
tan(tetha) = 0.219
tetha = tan^-1( 0.219)
= 12.4°
therefore the angle of elevation is 12.4°
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Write a polynomial of least degree with roots 2 and – 7
Answer: x^2+5x-14
Step-by-step explanation:
2 and -7 are the roots of the polynomial then we have to write them as
x=2 ,x=-7
To convert these as factors, we have to write them as
( x-2) (x+7)
The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.
x^2+7x-2x-14
x^2+5x-14
Number of factors = Highest exponent of the polynomial
Answer:
y = x² + 5x - 14
Step-by-step explanation:
Given roots x = a, x = b, then the corresponding factors are
(x - a) and (x - b) and the polynomial is the product of the factors
y = (x - a)(x - b)
Here the roots are x = 2 and x = - 7, then the factors are
(x - 2) and (x - (- 7)) = (x + 7), so
y = (x - 2)(x + 7) ← expand using FOIL
y = x² + 5x - 14
Karen recorded the results for a sample of 518 candies. Color counts sample proportion (p with hat on top) red 130 25% yellow 109 21% green 93 18% orange 114 22% purple 72 14% the candy company claims that the distribution of each color is exactly 20%. Select the observed and expected frequencies for the green candies.
The observed and expected frequencies for the green candies is C. Observed: 93 Expected: 103.6
How to illustrate the sample size?The number of participants or observations included in a study is referred to as the sample size. Usually, n is used to represent this number. Research results are directly impacted by sample size calculations. Very small sample sizes compromise a study's internal and external validity. Small differences frequently become statistically significant differences in very large samples.
Sample size = 518
The number of green candies observed/counted is = 93
That's an approximated value for 18% of the 518 candies
18/100 × 518 = 93.24 ≅ 93
Note, the symbol ≅ means 'approximately equal to. Since the candy company claims that the distribution of each color is exactly 20%, the expected frequency for green candies is:
20% of 518
= 20/100 × 518
= 103.6
The correct option is C.
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Complete question
Karen recorded the results for a sample of 518 candies.
Color Counts Sample Proportion
(p with hat on top)
Red 130 25%
Yellow 109 21%
Green 93 18%
Orange 114 22%
Purple 72 14%
The candy company claims that the distribution of each color is exactly 20%. Select the observed and expected frequencies for the green candies.
a.) Observed: 103.6 Expected: 93
b.) Observed: 93 Expected: 93.2
c.) Observed: 93 Expected: 103.6
d.) Observed: 72 Expected: 93.2
Find a formula for the nth derivative of f(x)=1/7x−6 evaluated at x=1. That is, find f(n)(1).
The formula for the nth derivative of f(x) = (1/7)x - 6 is f(n)(x) = (1/7)(-1)^n(n-1)!EXPLANATIONThe nth derivative of a function can be expressed using the following formula
(n)(x) = [d^n/dx^n]f(x)where d^n/dx^n is the nth derivative of the function f(x).To find the nth derivative of
f(x) = (1/7)x - 6, we can use the power rule of differentiation, which states that if
f(x) = x^n, then
f'(x) = nx^(n-1). Using this rule repeatedly, we get:
f'(x) = 1/7f''(x) = 0f'''
(x) = 0f
(x) = 0...and so on, with all higher derivatives being zero. This means that
f(n)(x) = 0 for all n > 1 and
f(1)(x) = 1/7.To evaluate f(1)(1), we simply substitute x = 1 into the formula for f'(x):
f'(x) = (1/7)x - 6
f'(1) = (1/7)
(1) - 6 = -41/7Therefore, the nth derivative of
f(x) = (1/7)x - 6 evaluated at
x = 1 is:f(n)
(1) = (1/7)(-1)^n(n-1)!
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ever since renata moved to her new home, she's been keeping track of the height of the tree outside her window. the variable hhh models the height of the tree (in centimeters), ttt years since renata moved in. h
The tree was 210 cm tall.
Let 'h(t) ' models the height of the tree in centimeters and 't' denotes the number of years since Renata moved in.
Given, h(t) = 210 + 33t
This is a linear function in 't'.
This function says that in each year the tree grows 33 cm tall.
We need to find the height of the tree when Renata moved in.
When Renata moved in, the number of years, t = 0
Applying this into h(t) , we get,
h(t) = 210 + 33 x 0 = 210 cm
Therefore the tree was 210 cm tall when Renata moved in.
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Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window. h(t) models the height of the tree (in centimeters), t years since Renata moved in. h(t)=210+33t
How tall was the tree when Renata moved in?
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The height of a basketball thrown by a 6 foot tall man follows a path defined by the function h(x) = -0. 5x^{2} + 3x + 6 h(x)=−0. 5x2+3x+6, where x is the horizontal distance from where it is thrown. How far away from the basket should the player stand in order for the ball to go in the basket (10 feet high) on its way down? Show all work
Answer:
Step-by-step explanation:
Multiply both sides by 2.
Splitting the middle term, we get
In the given function the leading coefficient is negative, so the given function represents a downward parabola. It means, first the function is increasing after that the function is decreasing.
So, the value of the function is 10 at (its way up) and at (its way down.
Therefore, the player should stand 4 units away from the basket in order for the ball to go in the basket (10 feet high) on its way down.
A radio set was sold for 570 at a loss of 25 percent on the cost price find the cost price
Answer:
712.50 is the cost price.
Step-by-step explanation:
570 increase 25% =
570 × (1 + 25%) = 570 × (1 + 0.25) = 712.5
help
for the “R=“
the choices are
-3
0
3
for the “S=“
the choices are
5
3
-3
Answers:
R = -3S = -3T = -9For each row, you're adding the values of 'a' and 'b'. The first row has 1+2 = 3.
When adding two negatives, add the positive versions of each number, then make the result negative. So -1 + (-2) can be thought of as 1+2 = 3, then you make everything negative.
When adding a negative to a positive, you'll subtract the positive version of each number. The final result is positive if the larger absolute value is positive, or otherwise it's negative. We have -4+1 that can be thought of as 4-1 = 3, but since the '4' is larger and it is negative, this means -4+1 = -3.
How many different committees of 4 people can be chosen from a group of 21?
Answer:
There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.