The equation for revenue R in terms of the number of rides x is given by R = px, where p is the amount charged per ride (in dollars).
The equation for the revenue R in terms of the number of rides can be derived by multiplying the number of rides with the amount charged per ride.
Let the amount charged per ride be p (in dollars).
Then, the equation for revenue R can be written as R = px.
Note that the amount charged per ride is not given in the problem. It can be assumed that the amount charged is a fixed amount for all the rides.
However, the equation for revenue can still be written in terms of the variable p as R = px.
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Which statement correctly compares the spreads of the distributions?
A. The range of penguin heights is greater at Countyside Zoo than at
Park Zoo
B. The range of penguin heights is greater at Park Zoo than at
Countyside Zoo.
C. The mode of penguin heights at Countyside Zoo is greater than the mode at Park Zoo
D. The ranges of penguin heights are the same.
Answer:
A
Step-by-step explanation:
Range = Highest value - Lowest value
At Park Zoo:
R = 44 - 38
= 6
At Countryside Zoo;
R = 45 - 38
= 7
So, it cannot be D, because the ranges are not the same and it cannot be B because the range is greater at countryside zoo
The mode is the value that appears the moat frequently.
At Park zoo, the mode is 41 since it has the most dots.
At Countryside zoo, the mode is 40, since it has the most dots
So, it cannot be C because Park zoo has a greater Mode.
so, the only answer is A
20 points!
Just need help on these questions
I will try to mark brainliest!
Answer:
the first one is 45% I don't no the second one
Three of the following are examples of instrumental (operant) conditioning. Which one is not? Explain!!
a. When Raluca’s teacher praises her in class for her fine oral description of a mathematical problem, Raluca is embarrassed and vows never to act so smart in front of her friends again.
b. When Diallo changes the time of day that he does his homework, and finds that he is doing better than ever, he continues to do his homework at that new time.
c. When Danny tells a funny joke, his classmates all laugh. Danny soon becomes the class clown, telling jokes at every opportunity.
d. When Michelle discovers that she can leave her mathematics class early by complaining about a stomachache, she begins to get these "stomachaches" about once a week.
The example that is not an example of instrumental (operant) conditioning is option a.
When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.
Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.
Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.
In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.
In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.
However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.
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A bag contains 10 marbles. Four of them are red, three blue, two white, and one yellow. A marble is drawn at random. What is the probability that it is not yellow.
Answer:
There is a 9/10 probability that the marble will not be yellow.
Step-by-step explanation:
If there are a total of ten marbles, and there is one yellow marble, there is a
1 yellow marble / 10 total marbles chance of getting a yellow marble. Then subtract it from 10/10 to get the probability of NOT getting a yellow marble.
10/10 - 1/10 = 9/10.
Answer:
9/10
Step-by-step explanation:
I THINK I THINK I THINK
Please show steps tysm
the veterinarian claims that this brand of cat food will extend the years of life for our kitty. the average cat lives for about 15 years. what are the hypotheses for this?
The hypotheses for the veterinarian's claim that this brand of cat food will extend the years of life for our kitty are that:
1. The cat food does indeed increase the lifespan of cats and our kitty will live longer than the average 15 years.
2. The cat food does not increase the lifespan of cats and our kitty will live for the average 15 years or less.
In this scenario, we need to set up hypotheses to test the claim made by the veterinarian about the cat food extending the life of a cat. We can use the terms "veterinarian", "average", and "hypotheses" in the explanation. The average cat lives for about 15 years, according to the given information. We will set up two hypotheses to test the veterinarian's claim:
1. Null Hypothesis (H0): The cat food has no effect on the life expectancy of a cat, and the average years of life remains 15 years.
2. Alternative Hypothesis (H1): The cat food extends the life expectancy of a cat, resulting in an average lifespan greater than 15 years.
These hypotheses will help determine if the veterinarian's claim about the cat food is valid. Further research and data analysis would be required to test and draw conclusions from these hypotheses.
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What is the value of cos (150°)?
PLEASE NO WEBSITES!
Thank you
Answer:
Cos (150) = -√3/2
Step-by-step explanation:
You can find this using a calculator. You will get −0.866025403 which is equal to -√3/2
A partly-full paint can has 0.878 U.S. gallons of paint left in it. (a) What is the volume of the paint, in cubic meters? (b) If all the remaining paint is used to coat a wall evenly (wall area = 13.7 m2), how thick is the layer of wet paint? Give your answer in meters.
a) The volume of paint left in the can is:
.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
b) the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:
0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3
(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:
Volume = area * thickness
We want to solve for the thickness, so we rearrange the formula to get:
Thickness = Volume / area
The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:
0.003321 m^3
The area of the wall is given as:
13.7 m^2
So the thickness of the layer of wet paint is:
0.003321 m^3 / 13.7 m^2 = 0.000242 m
Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).
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A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is?.
The probability that the sample mean will be between 181 and 185 is 0.3039.
Given,
The mean of a population, μ = 180
Standard deviation, σ = 36
Number of sample observations, n = 84
We have to find the probability that the sample mean will be between 181 and 185;
Lets convert 181 and 185 into z scores;
z = (x - μ) / (σ/√n)
x = 181z = (181 - 180) / (36/√84)
z = 1/3.93
z = 0.25
x = 185z = (185 - 180) / (36/√84)
z = 5 / 3.93
z = 1.27
Lets look z score table;
The area to the left of z = 0.25 is 0.5987
The area to the left of z = 1.27 is 0.8980
The probability that the z is between 0.25 and 1.27 would be 0.8980 – 0.5887 = 0.3039.
That is,
The probability that the sample mean will be between 181 and 185 is 0.3039.
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Find the lateral surface area of the triangular prism shown below. PLS HELP
Factors for three-sigma control limits for \( \bar{x} \) and \( R \) charts: 1) What's the upper control limit (UCL) with three-sigma limits for the mean of software upgrade time in minutes? (Round yo
The upper control limit (UCL) with three-sigma limits for the mean of software upgrade time in minutes can be determined by multiplying the standard deviation by three and adding it to the mean. However, since the mean and standard deviation are not provided in the question, a specific numerical answer cannot be given.
In statistical process control, the three-sigma control limits are commonly used to establish the range within which a process is considered to be in control. The three-sigma limits represent a statistical measure that encompasses approximately 99.7% of the data if the process is stable and normally distributed.
By calculating the UCL using the mean and standard deviation, organizations can set an upper boundary that helps monitor the software upgrade time. If any data point exceeds the UCL, it suggests a potential variation or issue in the process, warranting further investigation and corrective actions to ensure the software upgrade time remains within acceptable limits. The UCL serves as a reference point for identifying significant deviations from the expected mean and facilitates continuous process improvement in software upgrade operations.
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Confused pls help
will mark brainliest
9514 1404 393
Answer:
A 1
Step-by-step explanation:
The cube containing 125 = 5³ blocks will have a edge dimension of 5 blocks. The perimeter of one square face will be 4 times the edge dimension of the face, so will be 4×5 blocks = 20 blocks.
If 20 blocks = 20 units, then the edge of one block is 1 unit. Its volume is 1 unit³, or 1.
The appropriate choice is (A) 1 unit³ for the block volume.
Mrs. Taylor would like to construct a confidence interval for the number of highlighters that are borrowed and not returned in her classroom. At the end of a semester, she loaned 115 highlighters and found that 68% were not returned. What is the confidence interval at a 90%confidence level?
A.
(60.9%,75.1%)
B.
(58%,78%)
C.
(67.3%,68.7%)
D.
(65.4%,71.6%)
The confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
\(\rm MOE = Z\times{\sqrt \dfrac{p(1-p)}{n}\\\)
Where Z is the z-score at the confidence interval
p is the population proportion
n is the number of samples.
We have p = 68% = 0.68
n = 115
Z score for 90% confidence interval = 1.64
\(\rm MOE = 1.64\times{\sqrt \dfrac{0.68(1-0.68)}{115}\\\)
MOE = 0.071
So the confidence interval will be:
= (0.68-0.071, 0.68+0.071)
= (0.609, 0.751) or
= (60.9%, 75.1%)
Thus, the confidence interval at a 90% confidence level is (60.9%,75.1%) if in the end of a semester, she loaned 115 highlighters and found that 68% were not returned option (A) is correct.
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use the given transformation to evaluate the integral. (9x 9y) da r , where r is the parallelogram with vertices (−1, 2), (1, −2), (3, 0), and (1, 4) ; x
The value of the integral (9x + 9y) da over the region r is approximately 14.0625.
To evaluate the given integral using a transformation, we can use the concept of a double integral over a region in the xy-plane.
First, let's define the transformation T from the uv-plane to the xy-plane, where x = 9u and y = 9v. This transformation scales the coordinates by a factor of 9.
Next, let's find the Jacobian determinant of the transformation. The Jacobian determinant of T is given by the absolute value of the determinant of the matrix of partial derivatives of x and y with respect to u and v. In this case, the matrix is:
J(T) = |[∂x/∂u ∂x/∂v]|
|[∂y/∂u ∂y/∂v]|
Taking the partial derivatives, we have:
∂x/∂u = 9 and ∂x/∂v = 0
∂y/∂u = 0 and ∂y/∂v = 9
Therefore, the Jacobian determinant is:
J(T) = |[9 0]|
|[0 9]|
Taking the determinant, we have:
J(T) = (9)(9) - (0)(0) = 81
Now, we can evaluate the integral by transforming it into the uv-plane. The integral becomes:
∬(9x + 9y) dA = ∬(9(9u) + 9(9v))(J(T)) dA
Since x = 9u and y = 9v, we can substitute these expressions into the integral:
∬(9(9u) + 9(9v))(J(T)) dA = ∬(81u + 81v)(81) dA
Now, we need to find the limits of integration in the uv-plane. The region r in the xy-plane corresponds to a parallelogram in the uv-plane with vertices (-1/9, 2/9), (1/9, -2/9), (3/9, 0), and (1/9, 4/9).
Using these vertices, we can determine the limits of integration for u and v:
u ranges from -1/9 to 1/9
v ranges from 2/9 to 4/9
Therefore, the integral becomes:
∬(81u + 81v)(81) dA = ∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (81u + 81v)(81) dudv
Now, we can evaluate this double integral:
∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (81u + 81v)(81) dudv = (81)(81) ∫[u=-1/9 to 1/9] ∫[v=2/9 to 4/9] (u + v) dudv
Evaluating the inner integral with respect to u, we have:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + vu [v=2/9 to 4/9] dv
Simplifying further, we get:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(4/9 - 2/9) dv
Now, we can evaluate the inner integral with respect to v:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(4/9 - 2/9) dv = (81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (vu)(2/9) dv
Simplifying further, we have:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (2/9)u(2/9) dv
Now, we can evaluate the inner integral with respect to v:
(81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (2/9)u(2/9) dv = (81)(81) ∫[u=-1/9 to 1/9] (1/2)u^2 + (4/81)u^2 du
Combining like terms, we get:
(81)(81) ∫[u=-1/9 to 1/9] (1/2 + 4/81)u^2 du
Simplifying further, we have:
(81)(81) ∫[u=-1/9 to 1/9] (85/162)u^2 du
Now, we can evaluate the integral:
(81)(81) ∫[u=-1/9 to 1/9] (85/162)u^2 du = (81)(81)(85/162) ∫[u=-1/9 to 1/9] u^2 du
Integrating u^2 with respect to u, we get:
(81)(81)(85/162) ∫[u=-1/9 to 1/9] u^2 du = (81)(81)(85/162) [u^3/3] from -1/9 to 1/9
Plugging in the limits of integration, we have:
(81)(81)(85/162) [(1/9)^3/3 - (-1/9)^3/3]
Simplifying further, we get:
(81)(81)(85/162) [(1/729)/3 - (-1/729)/3] = (81)(81)(85/162) [2/729]/3
Now, we can simplify this expression:
(81)(81)(85/162) [2/729]/3 = (81)(81)(85/162) (2/729)(1/3)
Finally, evaluating this expression, we get:
(81)(81)(85/162) (2/729)(1/3) ≈ 14.0625
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Please answer in detail Determine whether the following statement is True, False, or Uncertain, and explain your answer. Statement: Flexible exchange rates ...
The statement "Flexible exchange rates ..." is incomplete, and without further clarification, it is uncertain to determine whether it is true or false. A complete statement is required to provide a clear context for discussing the nature and implications of flexible exchange rates.
Flexible exchange rates refer to a system in which currency exchange rates are determined by market forces, such as supply and demand. Under this system, exchange rates fluctuate freely based on various economic factors, including inflation rates, interest rates, trade balances, and investor sentiment.
Flexible exchange rates offer advantages such as the ability to adjust to changing economic conditions and promote trade balance adjustments. They can also help absorb external shocks and enhance monetary policy autonomy. However, they may also introduce volatility and uncertainty in international trade and investment. To assess the accuracy of the statement, additional information or context is needed.
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Susie has a part-time job at the video store. She makes between $32.43 and $38.86 a day. Which is a reasonable amount of money that Susie makes for working 6 days?
A.
$126.00
B.
$246.00
C.
$186.00
D.
$306.00
To calculate the range of money that Susie can make in a day, we need to find the difference between the maximum and minimum amounts:
$38.86 - $32.43 = $6.43
This means that Susie can make up to $6.43 a day.
To find the range of money that she can make in 6 days, we multiply the daily range by 6:
6 days × $6.43/day = $38.58
Therefore, a reasonable amount of money that Susie makes for working 6 days is approximately $38.58.
Since none of the given answer choices are close to this amount, we can assume that there may be a mistake in the problem or the answer choices.
Mayank Durgapal
try again
Assuming that the amount of money Susie makes per day is uniformly distributed between the minimum and maximum amounts, we can find the expected value of her earnings by taking the average of the minimum and maximum amounts:
Expected earnings per day = ($32.43 + $38.86) / 2 = $35.645
Multiplying this by the number of days worked:
$35.645 x 6 = $213.87
Therefore, a reasonable amount of money that Susie makes for working 6 days is approximately $213.87.
The closest answer choice is C) $186.00, which is not exact but is the closest to the expected amount.
A rectangle has perimeter 200 feet.
1. Let L represent the length of the rectangle. Write an equation for the width W in terms of L.
2. Write a function A(L) that represents the area of the rectangle with length L.
Answer:1. (200-2L)/2 2.L x (200-2L)/2=A
Step-by-step explanation:
Answer:
Part 1)
\(W=100-L\)
Part 2)
\(A(L)=L(100-L)\)
Step-by-step\(W = 100-L\) explanation:
We are given a rectangle with a perimeter of 200 feet.
Part 1)
The formula for perimeter for a rectangle is:
\(200=2(L+W)\)
We can divide both sides by 2:
\(100=L+W\)
And subtracting L from both sides yields:
\(W=100-L\)
Part 2)
The area of a rectangle is given by:
\(A(L)=LW\)
Since we solved for W earlier:
\(A(L)=L(100-L)\)
The relationship between chocolate sales and student happiness can be tested using the ______. Group of answer choices p statistic mean difference t statistic error difference
The relationship between chocolate sales and student happiness can be tested using the mean difference.
Specifically, a statistical test such as a correlation analysis or regression analysis can be used to examine the relationship between the amount of chocolate sales and the level of student happiness.
The mean difference refers to the difference in the average level of student happiness between two groups, such as those who consume more chocolate and those who consume less chocolate. This can help determine if there is a significant association between chocolate consumption and student happiness.
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What range of values is not a possible scale factor (k)?
A) k 1
D) all are possible
A range of values which is not a possible for scale factor (k): k = 0
We know that the scale factor is the number (also called the conversion factor) which is used to change the size of a figure without changing its shape.
It is used to expand or compress the size of an object.
The scale factor formula is:
Scale factor = Dimensions of the transformed shape ÷ Dimensions of the original shape
If the scale factor k > 1, the object is enlarged.
If the scale factor is 0< k <1, the object is compressed.
If the scale factor is k = 1, the shape of object remains the same.
And the scale factor cannot be zero.
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Find the 13th geometric sequence 1, 2, 4, …
Answer:
24.
Step-by-step explanation:
The pattern is clearly going up by twos.
So continuing the pattern,
1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
1 2 3 4 5 6 7 8 9 10 11 12 13
What is the distance from L1 to D? That is, what is the measure of the line segment L1D? Hint: review the diagram in "The Race Course" section of the Performance Task
there are no images.
A line segment in geometry is the part of a line which is bounded by two distinct end points.
What is line segment?Your information is incomplete. Therefore, an overview will be given. A line segment simply means a part of a line that has two endpoints.
A line segment contains end points and the points if the line that's between them. A segment is typically named by two endpoints like AB.
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I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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a manufacturing production line breaks down three times a week on average. what is the probability that the interarrival times between
If the production line breaks down 2 times a week , then the probability that interarrival times between breakdown will be less than 2 days is 0.4060 .
Number of times the production line breaks down is = 2 times ;
We have to find , the probability that interarrival times between breakdown will be less than 2 days ;
Here, the value of λ = 2 and x = 2 ;
the probability can be found by using the Poisson Distribution ;
We know that ; Poisson's distribution formula ⇒ P(X = x) = [λˣ × \(e^{-\lambda }\)]/x! ;
We have to calculate : P(X < 2) ;
that is P(X < 2) = (2⁰ × e⁻²/0!) + (2¹ × e⁻²/1!)
⇒ P(X < 2) = 0.1353 + 0.2707 ;
⇒ P(X < 2) = 0.4060 .
Therefore , the probability for the time less than 2 days is 0.4060 .
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The given question is incomplete , the complete question is
A manufacturing production line breaks down two times a week on average. What is the probability that the interarrival times between breakdown will be less than 2 days ?
Find the area of the triangle (Help ASAP)
Answer:
72 squared meters
Step-by-step explanation:
triangle area= 1/2 bh
16 x 9 = 144
144 x 1/2 = 72
Hope this helps
Answer:
A = 72m
The sides we would need to multiply are:
9m x 16m
The formula for finding the area of a triangle is:
L x W X 1/2
9m x 16m =
9m x 10m = 90
9m x 6m = 54
90m + 54m = 144m
144m / 2 = ?m
? = 72m
Step-by-step explanation:
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If P(E) = 0.74 , then calculate and find that (enter one digit per box after simplifying your numbers to the extent possible): a) The odds for E are: ____ to ____b) The odds against E are: ____ to ____
a) The odds for E are: 74 to 26
b) The odds against E are: 26 to 74
The odds for an event E is defined as the ratio of the probability of E occurring to the probability of E not occurring.
In this case, the probability of E occurring is given as P(E) = 0.74.
The probability of E not occurring is given by 1 - P(E) = 1 - 0.74 = 0.26.
Therefore, the odds for E are 0.74/0.26 = 74/26 or 37/13.
This means that for every 74 times E occurs, it does not occur 26 times.
The odds against E are the inverse of the odds for E, which is 26/74 or 13/37. This means that for every 26 times E does not occur, it occurs 74 times.
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Use the random number table below to carry out three repetitions of the frog's jumps. Mark directly on or above the table so that someone can follow what you did. Based upon the results of the simulation, what is the estimated probability that the frog jumps off the board within 60 seconds?
126 9927 19931 36089 74192 77567 88741 48409 41903
127 43909 99477 25330 64359 40085 16925 85117 36071
128 15689 14227 06565 14374 13352 49367 81982 87209
To estimate the probability that the frog jumps off the board within 60 seconds, we need to simulate the frog's jumps using the provided random number table.
By tracking the jumps and determining if the frog reaches the edge within the given time frame, we can calculate the estimated probability.
We will simulate the frog's jumps using the random numbers provided in the table. Each random number will represent a jump duration in seconds. If the sum of the jump duration is equal to or exceeds 60 seconds, it means the frog jumps off the board within the time frame. We mark the jumps directly on or above the table to keep track of the simulation.
Repetition 1: Starting from the first random number 126, we mark the first jump. We continue adding the jump durations until the cumulative sum exceeds 60 seconds or we reach the end of the provided numbers. Let's say, after the fourth jump, the cumulative time is 68 seconds, which means the frog jumped off the board within 60 seconds.
Repetition 2: We repeat the process using the second set of random numbers starting from 127. We mark the jumps and calculate the cumulative time. Suppose after the fifth jump, the cumulative time is 56 seconds. In this case, the frog did not jump off the board within 60 seconds.
Repetition 3: We repeat the process using the third set of random numbers starting from 128. We mark the jumps and calculate the cumulative time. Suppose after the third jump, the cumulative time is 42 seconds. Again, the frog did not jump off the board within 60 seconds.
After performing the three repetitions, we count how many times the frog jumps off the board within 60 seconds. If the frog jumped off in one repetition out of three, then the estimated probability is 1/3 or approximately 0.333. This indicates that there is a 33.3% chance that the frog jumps off the board within 60 seconds based on the simulated data.
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What is the solution set to the inequality 5 x 2 )( x 4 0 ?.
The solution set to the given inequality is
(-∞, -4) U (2,∞)
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
5(x – 2)(x + 4) > 0
First we solve for x, we replace the inequality sign by = sign
5(x – 2)(x + 4) = 0
Divide both sides by 5
(x – 2)(x + 4) = 0
Now we set each factor =0 and solve for x
x-2 =0 , so x= 2
x+4 =0, so x= -4
Now we use number line and make three intervals
First interval -infinity to -4
second interval -4 to 2
third interval 2 to infinity
Now we check each interval with our inequality
First interval -infinity to -4, pick a number in this interval and check with our inequality. lets pick -5
5(-5 – 2)(-5 + 4) > 0
35>0 is true
second interval -4 to 2, pick a number in this interval and check with our inequality. lets pick 0
5(0– 2)(0 + 4) > 0
-40>0 is false
Third interval 2 to infinity, pick a number in this interval and check with our inequality. lets pick 3
5(3 – 2)(3 + 4) > 0
35>0 is true
solution set are the intervals that make the inequalities true
(-∞, -4) U (2,∞)
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Question:
What is the solution set to the inequality 5(x – 2)(x + 4) > 0?
What are the coordinates of the image of point H after a counterclockwise rotation of 180° about the origin?
A). H’(4, -2)
B). H’(2, 4)
C). H’(4, 2)
D). H’(2, -4)
(i'll give brainliest to first correct, if it shows bc brainliest hasnt been showung)
Answer: C). H'(4,2)
Step-by-step explanation: As you can see in the picture H lines up with y-axis 2 and x-axis -4. Switch the x-axis to positive so therefore you will have (4,2). Sorry for being late to this question hope I still helped!
Answer:
b
Step-by-step explanation:
maybeeee
how long to walk a mile
Walking a mile is a common way to get exercise and improve overall health.
A mile is a unit of distance that is equivalent to 1.609 kilometers. Depending on a person's walking speed, it can take anywhere from 15 minutes to an hour to walk a mile. The average walking speed for a healthy adult is around 3 miles per hour, but this can vary depending on factors such as the person's fitness level, the terrain, and whether they are carrying anything. Walking is a low-impact exercise, and it's a great way to get some physical activity into your daily routine.
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amy sells beaded necklaces. each large necklace sells for $4.10 and each small necklace sells for $3.80. how much will she earn from selling 7 large necklaces and 1 small necklace?
Amy will earn $28.70 + $3.80 = $32.50.
Profit and loss:
A profit and loss (P&L) statement refers to a financial statement that summarizes the revenues, costs, and expenses incurred during a specified period, usually a quarter or fiscal year. These records provide information about a company’s ability or inability to generate profit by increasing revenue, reducing costs, or both. P&L statements are often presented on a cash or accrual basis. Company managers and investors use P&L statements to analyze the financial health of a company.
Amy will earn $28.70 from selling 7 large necklaces (7 x $4.10 = $28.70) and $3.80 from selling 1 small necklace, so in total, she will earn $28.70 + $3.80 = $32.50.
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