The model f(t) = Cat can be used to estimate the number of Coronavirus cases after t days, where C and a are parameters to be determined. In this case, we need to find C and A using the given data.
Then, we can use the model to estimate the number of cases on April 5, 2020 (day 50). Comparing the model's estimate with the actual number of cases will determine its accuracy. To find the values of C and an in the model f(t) = Cat, we can use the given data points. Let's consider day 0 (February 15, 2020) and day 39 (March 25, 2020).
On day 0, the number of cases is given as 15. Plugging this into the model, we get f(0) = C * a^0 = C = 15. Therefore, we have found the value of C. On day 39, the number of cases is given as 63,500. Plugging this into the model, we get f(39) = C * a^39 = 63,500. Since we know C = 15, we can rewrite the equation as 15 * a^39 = 63,500. By solving this equation for a, we can find its value. Now, to estimate the number of cases on day 50 (April 5, 2020), we can use the model f(t) = Cat with the values of C and a that we have determined. Plugging in t = 50, C = 15, and the value of a, we can calculate f(50) and compare it to the actual number of cases, which is given as 331,000.
The accuracy of the model can be determined by comparing the model's estimate with the actual number of cases. If the model's estimate is close to the actual number, then the model is considered accurate. However, if there is a significant difference between the model's estimate and the actual number, the model may not accurately capture the spread of the Coronavirus. It's important to note that this model assumes exponential growth and does not account for various factors that can affect the spread of the virus, such as interventions, testing capacity, and behavioral changes. Therefore, the accuracy of the model may vary depending on these factors.
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2. The duration of the ride is 15 min. (a) How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel
Answer: 23
Step-by-step explanation:
The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
What is the trigonometric equation?A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.
Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.
The duration of the ride is 15 min.
Let the period be T, then we can write:
h=-82.5.cos(2πt/T)+97.5
So, we must have 2π/T =3π or T=2/3 minutes
Number of complete periods
Floor(15/T)=22
Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.
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"Your question is incomplete, probably the complete question/missing part is:"
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.
The duration of the ride is 15 min.
How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.
Which of the following is not a function?
Answer:
The first option.... The one with the blue dot I guess you have chosen that
Calculate:
400 x 3235 =
You must show full working out.
Answer:
1294000
Step-by-step explanation:
There are two ways to do this: The short way and the long way:
Cooper works part time for a moving company. One day he had to move 34 boxes from a truck to inside a house. After moving some boxes, he took a break and told his boss that he has only 15 boxes to move. Which equation below can be solved to find how many boxes Cooper moved before his break. A. 15+34=x B. 15−x=34 C. 34−x=15 D. 34+x=15
Answer: D
Step-by-step explanation: hope this helped u.
Approximately _________ of Americans are in the working class and ________ of the people in the U.S. are lower middle class.
A. 50% and 30%
B. 30% and 34%
C. 40% and 20%
D. 60% and 10%
According to the question Approximately 60% of Americans are in the working class and 80% of the people in the U.S. are lower middle class. The correct answer is D. \(\(60\%\)\) and \(\(10\%\)\).
The working class typically comprises individuals involved in manual labor, skilled trades, or service-oriented jobs. They often earn wages and may have lower income levels compared to other classes.
The percentage of Americans in the working class can vary based on factors such as economic conditions, industry trends, and societal changes. The lower middle class generally includes individuals who have achieved some level of education beyond high school and hold white-collar or technical jobs.
They often have moderate incomes and may have attained some level of financial stability. The percentage of people in the U.S. who fall into the lower middle class can also fluctuate based on economic factors and social dynamics.
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Nick and his family travel by train to New York City.
The clocks show when the train leaves the station and when it arrives in New York City.
How long is the train ride?
Answer:4:15
Step-by-step explanation:
EZ
If a company has $2,000,000 in average assets, and desires to earn a return on investment of 30%, the company will need to earn income of $.
Answer:
The company will be required to earn a net income of $600,000.
Step-by-step explanation:
Help me solve this ! Thank you ,
Answer:
170.8
Step-by-step explanation:
Events D and E are independent, with P(D)- 0.6 and P(D and E) - 0.18. Which of the following is true? A. P(E)- 0.12 B. P(E) = 0.4 C. P(D or E)-0.28 D. P(D or E) 0.72 E. P(D or E)-0.9
The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.
To determine the correct answer, let's analyze the given information.
We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.
Given:
P(D) = 0.6
P(D and E) = 0.18
Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:
P(D and E) = P(D) * P(E)
Substituting the given values:
0.18 = 0.6 * P(E)
To find the value of P(E), we can rearrange the equation:
P(E) = 0.18 / 0.6
P(E) = 0.3
Therefore, the correct answer is A. P(E) = 0.3.
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4
Select all the expressions that are equivalent to
-2(5x - 1) + 7(5x - 1) – 3(-5x + 1)
M. -10x – 1 + 35x - 1 + 15x + 1
P. -10x + 2 + 35x - 7 - 15x - 3
R. (5x - 1)(-2 + 7 - 3)
S. (5x - 1)(-2 + 7 + 3)
T. 40% - 8
V. 10x + 2
Answer:
The first answer is M. -10x - 1 + 35x - 1 + 15x + 1
maybe
3 ^- 2 is equivalent to _____.
Answer:
Exact Form:
1/9
Decimal Form:
0.¯1 (repeating)
Step-by-step explanation:
Rewrite the expression using the negative exponent rule b^−n=1/b^n.
1/3^2
Raise 3 to the power of 2.
1/9
The result can be shown in multiple forms.
Exact Form:
1/9
Decimal Form:
0.¯1 (repeating)
Hope this helps :)
What is the equation of the line shown in this graph
Answer:
y=1
Step-by-step explanation:
since it’s horizontal and straight the value it intersects on the graph is what y is equal to
Hopes this help please mark brainliest
What is the perimeter of each figure? I'm sorry-
Answer:
1. 4x + 10
2. 3x + 22
NEED ANSWER ASAP!!!!
y=−x^2−2x+3
When is g(x) = 0?
Answer:
\(y=3\)
Step-by-step explanation:
Since g(x)=0, you input 0 into every x
\(y=-(0)^{2} -2(0)+3\)
Which then becomes:
\(y=0+3\)
Take out the 0 and there's your answer
A football field is 150 meters long. Karl takes 30 seconds to run the entire length. How fast was Karl running?
Answer:
5 m/s
Step-by-step explanation:
Divide the distance by Karl's time to find the rate at which Karl was running:
150/30 = 5 meters per second
I don’t understand this question! Please help me find the answer they are compound shapes
The area of the shaded region in this problem is given as follows:
995.44 cm².
How to calculate the area of a circle?The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:
A = πr²
The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:
r = 21 cm.
Then the area of the entire circle is given as follows:
A = π x 21²
A = 1385.44 cm².
The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:
A = 0.5 x 39 x 10
A = 390 cm².
Then the area of the shaded region is given as follows:
1385.44 - 390 = 995.44 cm².
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At a Bloomburg City Council meeting, a plan to fund more swim safety programs was presented. The reasoning behind the request was that less than 40% of children under the age of 5 could pass a swim test. If this is true, the council will agree to fund more programs for these kids. The council decides to take a 200-person volunteer sample of children under 5 years in Bloomburg City and conduct a significance test for H0: p = 0. 40 and Ha: p < 0. 40, where p is the proportion of these children that can pass a swim test. They will perform a significance test at a significance level of α = 0. 05 for the hypotheses.
Part A: Describe a Type II error that could occur. What impact could this error have on the situation? (3 points)
Part B: Out of the 200 children under 5 that volunteered to take a swimming test, 87 passed, resulting in a p-value of 0. 8438. What can you conclude from this p-value given the data of the 200 children is sufficient to perform a significance test for the hypotheses? (4 points)
Part C: What possible defect in the study can you find in Part B? Explain. (3 points)
Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test).
what is a Type II error?If the researcher does not reject a null hypothesis that is actually wrong in the population, this is known as a type II error (false-negative). Notwithstanding the fact that type I and type II mistakes cannot be completely prevented, the researcher can lessen their risk by increasing the sample size.
from the question:
Part A: In this situation, a Type II error would take place if the council failed to reject the null hypothesis even if it was untrue (i.e., less than 40% of children under the age of 5 could pass a swim test). This would result in a lost chance to provide these kids with more swim safety training, perhaps placing them in danger of drowning or other swimming-related mishaps.
Part B: We are unable to reject the null hypothesis since the p-value (0.8438) exceeds the significance level (0.05). This indicates that there is insufficient information to draw the conclusion that less than 40% of children under the age of five can pass a swim test. But, since the test only looked at the alternative hypothesis that the fraction is less than 40%, we cannot draw the conclusion that it is exactly 40%.
Part C: One possible defect in the study is the use of a volunteer sample. The children who volunteered to take the swimming test may not be representative of the entire population of children under 5 in Bloomburg City. For example, parents who are more concerned about their children's swimming abilities may be more likely to volunteer their children for the test, leading to a biased sample. To obtain a more representative sample, a random sample of children under 5 could be selected from the population and asked to take the swimming test.
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Solve 5g= 20
g=
Which statement shows the correct justification for the step used to solve the equation?
Divide each side by 5.
Multiply each side by 5.
Divide each side by 20.
Multiply each side by 20.
Step-by-step explanation:
divide each side by 5 is the correct justification please give thanks
You earn $9.35 per hour and work 32 hours a week at an advertisement
agency. What is your straight-time pay?
Answer:
the answer is $299.2
Step-by-step explanation:
Each output of a function is 0.25 greater than the corresponding input. Which equation is a rule for
the function?
O y = 0.25x
O y = x/0.25
O y = x +0.25
O y = x - 0.25
Answer:
A. y = x+0.25
alr help me on this one.
Answer:
-1
Step-by-step explanation:
P(t) = 46, 700(1.025)^t
where P(t) represents the number of people t is the number of years since 2018.
Approximate the population of the city in the year 2038, rounded to the nearest whole number.
———— people
The approximate population of the city in the year 2038 is 76,501 people.
To approximate the population of the city in the year 2038, we need to plug in the appropriate value for t in the equation P(t) = 46,700(1.025)^t. Since t represents the number of years since 2018, we can find the value of t by subtracting 2018 from 2038:
t = 2038 - 2018 = 20 years
Now, plug in the value of t into the equation:
P(20) = 46,700(1.025)²⁰
Next, calculate (1.025)²⁰:
(1.025)²⁰ ≈ 1.639
Now, multiply this result by 46,700:
P(20) ≈ 46,700 * 1.639 ≈ 76,501.3
Finally, round the result to the nearest whole number:
P(20) ≈ 76,501
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I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?
Answer:
A is a solution because it is in the shaded area.
Step-by-step explanation:
Gabi just bought a pottery store. She knows from the previous owner that almost 60 percent of her sales take place during the Christmas holiday season, with the other 40 percent of sales evenly distributed over the rest of the year. Gabi will probably use a
By using a seasonal sales forecast, Gabi can better plan her inventory and staffing levels throughout the year, which can help her optimize her business operations and maximize profits.
To create this forecast, she will need to estimate the expected sales for each month based on historical data and market trends.
Here's an example of how Gabi could create a seasonal sales forecast:
Start with historical sales data: Gabi can use the previous owner's sales records to get an idea of how much revenue the store generated in each month. She should look for patterns or trends in the data that can help her predict future sales.
Identify seasonal trends: Based on the information she has been given, Gabi knows that 60 percent of sales occur during the Christmas holiday season. She should also consider other seasonal factors that could affect sales, such as the weather, local events, and school holidays.
Determine the baseline sales: Gabi can calculate the baseline sales by dividing the non-holiday sales (40 percent) by the number of non-holiday months (eight). This will give her an estimate of the average monthly sales during the non-holiday period.
Adjust for seasonal factors: Gabi should adjust her baseline sales estimate based on the seasonal trends she identified. For example, she might increase sales projections for November and December to reflect the holiday season, and adjust sales projections for other months based on other seasonal factors.
Review and adjust: Gabi should regularly review her sales forecast and adjust it as needed based on actual sales performance and any changes in market conditions.
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answer the following, Round final answer to 4 decimal places. a.) Which of the following is the correct wording for the randon variable? r×= the percentage of all people in favor of a new building project rv= the number of people who are in favor of a new building project r N= the number of people polled r×= the number of people out of 10 who are in favor of a new building project b.) What is the probability that exactly 4 of them favor the new building project? c.) What is the probabilitv that less than 4 of them favor the new building project? d.) What is the probabilitv that more than 4 of them favor the new building project? e.) What is the probabilitv that exactly 6 of them favor the new building project? f.) What is the probability that at least 6 of them favor the new building project? 8.) What is the probabilitv that at most 6 of them favor the new building project?
In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.
a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.
b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.
c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.
d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).
e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.
f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).
g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).
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can someone please help with this
All correct proportions include the following:
A. \(\frac{AC}{CE} =\frac{BD}{DF}\)
D. \(\frac{CE}{DF} =\frac{AE}{BF}\)
What are the properties of similar geometric figures?In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.
Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;
\(\frac{AC}{CE} =\frac{BD}{DF}\)
\(\frac{CE}{DF} =\frac{AE}{BF}\)
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alguien que me ayude por favor
i can't see the paper
as part of video game, the point (5,2) is rotated counterclockwise about the origin through an angle of 5 degrees. find the new coordinates of this point
The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).
To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:
x' = x * cos(theta) - y * sin(theta)
y' = x * sin(theta) + y * cos(theta)
Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.
Converting the angle of rotation from degrees to radians:
theta = 5 degrees * (pi/180) ≈ 0.08727 radians
Plugging in the values into the rotation formula:
x' = 5 * cos(0.08727) - 2 * sin(0.08727)
y' = 5 * sin(0.08727) + 2 * cos(0.08727)
Evaluating the trigonometric functions and simplifying:
x' ≈ 4.993
y' ≈ 2.048
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Find X and then find JL
The value of x is calculated as x = 3, while the length of segment JL is calculated as 18 units.
How to Find the Value of x in the Figure Given?Create an equation based on the fact that the diagonals of the shape shown bisects each other to form equal segments such as:
JN = LN
Plug in the values to find x:
15 - 2x = 4x - 3
Combine like terms:
15 + 3 = 4x + 2x
18 = 6x
18/6 = x
x = 3
Length of JL = 15 - 2x + 4x - 3 = 12 + 2x
Plug in the value of x:
Length of JL = 12 + 2(3) = 18 units
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Margaret deposits $1,000 in a savings account that pays 1.4% interest compounded
semiannually. What is her balance after 1 year?
Answer:
The balance after 1 year is;
$1,014.05
Step-by-step explanation:
To do this, we use the compound interest formula
That will be ;
A =P (1 + r/n)^nt
A is the amount generated which we want to calculate
r is the rate = 1.4% = 0.014
P is the amount deposited = $1,000
n is the number of times it is compounded annually which is 2 (semi-annually means 2 times in a year)
this the number of years which is 1
we have this as:
A = 1,000( 1 + 0.014/2)^(2*1)
A = 1,000(1 + 0.007)^2
A = 1,000(1.007)^2
A = $1,014.05