Answer:
4
Step-by-step explanation:
The 25ft by 20ft court needs to be covered.
First consider half of the court, meaning 25ft by 10ft.
To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft
There is a 1ft overlap, but that seems reasonably acceptable.
If you do the same for the other half, then you will have covered the entire court from the rain.
So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court
Data;
dimension of court = 25ft by 20ftdimension of cover = 13ft by 10 ftArea of a RectangleAssuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover
\(25ft by 20 ft / 13ft by 10 ft = 2\)
This would give us a value approximately 2.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.
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what are the requirements to perform a one-way anova? is the test robust?
Thus, a one-way ANOVA test is robust if the data meets the above requirements. It is a powerful statistical tool that can help analyze differences between means of multiple groups.
A one-way ANOVA is a statistical test used to analyze the differences between means of two or more groups. There are certain requirements that need to be met before performing a one-way ANOVA.
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To perform a one-way ANOVA, the observations need to be independent, the data should be normally distributed, and the variances should be equal. However, the test is robust to deviations from these assumptions, particularly if the group sizes are equal.
Explanation:To perform a one-way ANOVA (Analysis of Variance), there are several requirements you should meet:
Independence of observations: each group should be separate and not influence the others.Normality: the data in each group should follow a normal distribution.Homogeneity of variance: the variances of the groups should be equal.The one-way ANOVA is considered robust to deviations from normality and homogeneity of variance, especially when the group sizes are equal. However, if smokes are very unequal or if there are extreme outliers, it might not be as robust.
If these assumptions are not met, a non-parametric alternative like the Kruskal-Wallis test might be a better choice.
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(3) Suppose you have an independent sample of two observations, denoted 1 and y, from a population of interest. Further, suppose that E(y) = and Var(= 0%, i = 1,2 Consider the following estimator of : i = c + dys. С for some given constants c and d that you are able to choose. Think about this question as deciding how to weight, the observations y and y2 (by choosing c and d) when estimating (3a) Under what condition will ſo be an unbiased estimator of ye? (Your answer will state a restiction on the constants c and d in order for the estimator to be unbiased). 3 (31) Given your answer in (3a), solve for din terms of cand substitute that result back into the expression for janbove. Note that the resulting estimator, now a function of c only, is unbiased Once you have made this substitution, what is the variance of je in terms of o' and d? (30) What is the value of that minimize the variance expression in (3b)? Can you provide any intuition for this result? (34) Re-derive the variance in part , but this time suppose that Var() = ? and Var) = 207 If the variances are unequal in this way, what is the value of that minimize the variance expression? Comment on any intuition behind your result
For the estimator s_0 to be unbiased, the condition is that the coefficient of y, denoted as d, should be equal to zero.
3a) To determine when s_0 is an unbiased estimator of y, we need to calculate its expected value E(s_0) and check if it equals y.
The estimator s_0 is given by s_0 = c + dy. We want to find the values of c and d such that E(s_0) = E(c + dy) = y.
Taking the expectation of s_0, we have:
E(s_0) = E(c + dy) = c + dE(y)
Since E(y) = μ, where μ represents the population mean, we can rewrite the equation as:
E(s_0) = c + d*μ
For s_0 to be an unbiased estimator, E(s_0) should be equal to the true population parameter y. Therefore, we require:
c + d*μ = y
This equation implies that c should be equal to y minus d multiplied by μ:
c = y - d*μ
Substituting this value of c back into the expression for s_0, we get:
s_0 = (y - dμ) + dy = (1 + d)y - dμ
To make s_0 an unbiased estimator, we need the coefficient of y, (1 + d), to be equal to zero:
1 + d = 0
d = -1
Therefore, the condition for s_0 to be an unbiased estimator is that d = -1.
3b) With d = -1, we substitute this value back into the expression for s_0:
s_0 = (-1)*y + y = y
This means that the estimator s_0, now a function of c only, simplifies to y, which is the true population parameter.
The variance of s_0 in terms of σ^2 and d can be calculated as follows:
Var(s_0) = Var((-1)y + y) = Var(0y) = 0*Var(y) = 0
Therefore, the variance of s_0 is zero when d = -1.
Intuition: When d = -1, the estimator s_0 becomes a constant y. Since a constant has no variability, the variance of s_0 becomes zero, which means the estimator perfectly estimates the true population parameter without any uncertainty.
3c) When Var(y1) = σ1^2 and Var(y2) = σ2^2 are unequal, we can find the value of d that minimizes the variance expression for s_0.
The variance of s_0 in terms of σ1^2, σ2^2, and d is given by:
Var(s_0) = Var((1 + d)y - dμ) = [(1 + d)^2 * σ1^2] + [(-d)^2 * σ2^2]
Expanding and simplifying the expression, we get:
Var(s_0) = (1 + 2d + d^2) * σ1^2 + d^2 * σ2^2
To find the value of d that minimizes the variance, we differentiate the expression with respect to d and set it equal to zero:
d(Var(s_0))/dd = 2σ1^2 + 2d * σ1^2 - 2d * σ2^2 = 0
Simplifying further, we have:
2σ1^2 + 2d * (σ1^2 - σ2^2) = 0
Dividing both sides by 2 and rearranging, we find:
d = -σ1^2 / (σ1^2 - σ2^2)
Therefore, the value of d that minimizes the variance expression is -σ1^2 / (σ1^2 - σ2^2).
Intuition: The value of d that minimizes the variance depends on the relative sizes of σ1^2 and σ2^2. When σ1^2 is much larger than σ2^2, the denominator σ1^2 - σ2^2 becomes positive, and d will be a negative value. On the other hand, when σ2^2 is larger than σ1^2, the denominator becomes negative, and d will be a positive value. This adjustment in d helps balance the contribution of y1 and y2 to the estimator, considering their respective variances.
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The ages (years) of three government officials when they died in office were 56, 46, and 60. Complete parts (a) through () a. Assuming that 2 of the ages are randomly selected with replacement, list the difflerent possible samples O A. (56,56), (56,46),(56,60),(46,46),(46,60),(60,60) ○ B. (56,46),(56,60),(46,56),(46.60)·(00,56),(60A6) O C. (56,46),(56,60),(46,60) O D. (56,56), (56,46)(56,60),(46,56),(46,46),(46,60),(60,56),(60,46),(60,60) b. Find the range of each of the samples, then summarize the sampling distribution of the ranges in the format of a table representing the probability distribution Sample Range Probability Type an integer or a fraction.) c. Compare the population range to the mean of the sample ranges Choose the correct answer below
a) The different possible samples, assuming 2 ages are randomly selected with replacement, are:
A. (56, 56), (56, 46), (56, 60), (46, 46), (46, 60), (60, 60)
B. (56, 46), (56, 60), (46, 56), (46, 60)
C. (56, 46), (56, 60), (46, 60)
D. (56, 56), (56, 46), (56, 60), (46, 56), (46, 46), (46, 60), (60, 56), (60, 46), (60, 60)
b) To find the range of each sample, we subtract the minimum age from the maximum age. The sampling distribution of the ranges can be summarized in the following table representing the probability distribution:
Sample Range Probability
2 2/9
10 3/9
14 3/9
c) To compare the population range to the mean of the sample ranges, we need the population range. Since the given information only provides the ages of the government officials when they died, the population range cannot be determined. Therefore, we cannot compare the population range to the mean of the sample ranges.
Note: The actual range of the population would depend on the complete set of ages of government officials, which is not provided in the given information.
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need help im struggling
Answer:
the first answer is correct
Step-by-step explanation:
before we started we had not caught any fish
Answer:
I think a is correct bc the rest aren't true
hope this helped
I need help with example 9 please
Answer:
a reflection across the y-axis and a translation up of 4
Step-by-step explanation:
Color this answer gold. 13 A 36-oz box of cereal costs $5.04. What is the cost per ounce?
Answer:
$0.14 per ounce
Step-by-step explanation:
Take the cost and divide by the number of ounces
5.04 / 36 ounces
.14 per ounces
Answer:
$7.14 per oz.
Step-by-step explanation:
36 divided by 5.04 is 7.14
If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true
Answer:d
Step-by-step explanation:
The answer is d. None of the above is true.
To calculate velocity, we need to use the equation:
Velocity = M * P / Y
Given:
M = 1,000
P = 2.25
Y = 2,000
Plugging in the values:
Velocity = 1,000 * 2.25 / 2,000
Simplifying:
Velocity = 2.25 / 2
The result is:
Velocity = 1.125
Therefore, the correct answer is: d. None of the above is true.
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An empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride . The weight of the flask and carbon tetrachloride is found to be 444.6 g. From this information , calculate the density of carbon tetrachloride .
Answer:
The density is 1.59 g/mL. Therefore, the substance will NOT float in water.
Step-by-step explanation:
The following data were obtained from the question:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:
Mass of empty flask = 245.8 g
Mass of flask + CCl₄ = 444.6 g
Mass of CCl₄ =.?
Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)
Mass of CCl₄ = 444.6 – 245.8
Mass of CCl₄ = 198.8 g
Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:
Mass of CCl₄ = 198.8 g
Volume of CCl₄ = 125 mL
Density of CCl₄ =?
Density = mass / volume
Density of CCl₄ = 198.8 / 125
Density of CCl₄ = 1.59 g/mL
The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.
The density of carbon tetrachloride is 1.59 grams per milliliter.
Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:
Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).
(444.6 - 245.8) / 125 = X 198.8 / 125 = X 1.59 = X
Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.
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13. A local car wash is open 8 hours each day.
It uses 2/3 of a container of wax for each car.
The car wash waxes an average of 8.5 cars per hour.
According to the given information, how many containers of wax does the car wash use in one day?
A fire marshal states that the maximum capacity of a school gym per square yard is 5 students. If the gym is 30 yards by 20 yards, what is the maximum number of
students that can attend a dance held in the gym?
Answer:
25 i guss
Step-by-step explanation:
Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative
Answer:
The operation is commutative
Step-by-step explanation:
Operations
The * operation is defined on the set of real numbers R by
\(a * b=a^3+b^3-3ab\)
For the operation to be commutative a*b should be equal to b*a.
Computing b*a:
\(b * a=b^3+a^3-3ba\)
Rearranging:
\(b * a=a^3+b^3-3ab\)
It's apparent that a*b=b*a, thus the operation is commutative
At night the pupils of a certain woman's eyes are 8 mm in diameter. How many kilometers away from a car facing her will the woman be able to distinguish its headlights from each other.
With pupils of 8 mm in diameter at night, a woman will be able to distinguish the headlights of a car facing her that are approximately 2.37 kilometers apart.
The ability to resolve or distinguish two closely spaced objects is determined by the angular resolution of the human eye. Angular resolution refers to the smallest angle between two points that can be distinguished as separate entities. In this case, we can calculate the angular resolution using the formula: angular resolution = 1.22 * (wavelength / diameter), where the wavelength of visible light is typically around 550 nm.
Given that the woman's pupils have a diameter of 8 mm, we can convert this to meters (0.008 m). Plugging in the values, we get the angular resolution = 1.22 * (550 nm / 0.008 m). Simplifying this, we find the angular resolution is approximately 0.084 radians.
To determine the distance at which the woman can distinguish the headlights of a car, we can use the formula: distance = size / angular resolution, where the size represents the physical separation between the headlights. Assuming the car's headlights are spaced 2 meters apart, we have distance = 2 m / 0.084 radians, which equals approximately 23.81 meters.
Since the question asks for the answer in kilometers, we divide the distance by 1000, giving us approximately 0.02381 kilometers, which can be rounded to 0.024 kilometers or 24 meters. Therefore, the woman will be able to distinguish the car's headlights from each other when the car is approximately 2.37 kilometers away.
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At the pottery class, Lily made a clay mug measuring 6 inches
. She also made a
flower pot, which was 11 times taller than the mug. How tall was the pot?
Answer:
66 pots
Step-by-step explanation:
The height of flower pot is 66 inches
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Measurement of mug = 6 inches
as, the slower pot is 11 times taller than the mug
=11 * 6
=66 inches.
Hence, the height of flower pot is 66 inches
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Benjamin writes a expression for the sum of 1 cubed 2 cubed 3 cubed
Answer:
1³ + 2³ + 3³ = 36
Step-by-step explanation:
Sum of 1³, 2³, 3³
Sum = addition (+)
1³
= 1 × 1 × 1
= 1
2³
= 2 × 2 × 2
= 8
3³
= 3 × 3 × 3
= 27
1³ + 2³ + 3³
= 1 + 8 + 27
= 36
1³ + 2³ + 3³ = 36
Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start?
Answer:
he had 13 peices of candy
Step-by-step explanation:
if he has 3 pieces for himself and 2 for each kid and he has 5 kids then you would just multiply 2 and 5 then add 3
the equation is (2 times 5)+3
how to find the height of a cone given the volume and radius
Answer:
h = 3V/(πr²)
Step-by-step explanation:
You want to find the height of a cone given the volume and radius.
Volume formulaYou can find the height by using the volume formula and solving it for height.
V = 1/3πr²h
HeightMultiplying by the inverse of the coefficient of h gives ...
3V/(πr²) = h
You can use this formula to find the height from the volume and radius:
h = 3V/(πr²)
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Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.
\(\\ \sf\longmapsto 2(5m-4)-3(m-5)^2\)
\(\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)\)
\(\\ \sf\longmapsto 10m-8-3(m^2-10m+25)\)
\(\\ \sf\longmapsto 10m-8-3m^2+30m-75\)
\(\\ \sf\longmapsto -3m^2+30m+10m-75-8\)
\(\\ \sf\longmapsto -3m^2+40m-83\)
2 numbers add together to make -4 but they subtract to make 8
Answer:
2=x y=-6
Step-by-step explanation:
x+y=-4
x-y=8
(-)(-)=+
(-)(+)=-
2+-6=-4
2--6=8
hwuw8w92kywjaia01owuqta56a62652629292092827wgbs
a group of students is chosen. what is the minimum size of the group so that it is guaranteed to contain at least 6 students from some state in america. (america has 50 states)
The minimum size of the group so that it guarantees to contain at least 6 students from some states in America is 251 students .
In the question ,
it is given that ,
the number of states in America = 50 states
The maximum number of cases in which there are less than 6 students from any state is when there are 5 students from each state,
which is ,
total of 5x50 = 250 students.
By Pigeon Hole Principle ,
In this, if one more student is added, the state to which that student belongs will have a total of 6 students.
So, this is minimum number required to guarantee that there are at least 6 students from some state in America is 251.
5x50 + 1 = 251
Therefore , the minimum size of the group is 251 students .
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1. Kim ( my name ehehe) bought 4 candy bars and ate 2 ¼ of bars for
Snack that day. How Many Candy Bars Are Left over?
2. Liz ( sister's name ) is traveling to California for vacation he has two suitcases. One weighs 40 pounds and the other weighs 26 ⅝ pounds. How Much Do the Suitcases weigh altogether?
( Btw this isn't my homework this is my sisters, I'm to lazy to help her )
Answer:
Step-by-step explanation:
1. 1 3/4
2. 3 3/8
The equation c = 10.50p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.
Which description is true, based on the equation of the proportional relationship?
For $0.50, you can buy 1 pound of shrimp.
For $1, you can buy 10.50 pounds of shrimp.
For $10.50, you can buy 10.50 pounds of shrimp.
For $10.50, you can buy 1 pound of shrimp.
Answer:
For $10.50, you can buy 1 pound of shrimp
Step-by-step explanation:
We know that "c" is the total cost and "p" is the number of pounds of shrimp. The number 10.50 is considered to rate for every pound of shrimp because, if we replace "p" with 1 pound, we will get the answer of $10.50. Thus, it costs $10.50 for every pound of shrimp.
the cross sectional area of a cylinder is 614 cm 2 the height is 8cm what is the volume of the cylinder
Answer: Volume of the cylinder = \(4912\ cm^2\)
Step-by-step explanation:
Volume of cylinder = Area of base x height
Also, area of cross section = Area of base
Volume of cylinder = area of cross section x height
Given: Area of cross section = \(614\ cm^2\)
height = 8 cm
Volume of cylinder = 614 x 8
\(= 4912 \ cm^2\)
Hence, the volume of the cylinder = \(4912\ cm^2\)
hello please help i’ll give brainliest
Answer:
Volcanic Eruptions, Earthquakes, Erosion
I am very sorry if this is wrong
Have a great rest of your day and good luck!
Answer:
the answer is a, b, and d
Step-by-step explanation:
erosion is caused by wearing down overtime
3x 3(x y)3x 3(x y)3, x, plus, 3, (, x, plus, y, )? choose all answers that apply: choose all answers that apply:
x is present in the algebraic expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.
The given expression is: 3x[3(x + y)]^3x[3(x + y)]^3 × (x + 3)(x + y)
To simplify the given expression, we will first solve the expression within the brackets as follows:
(3(x + y))^3 = (3)³(x + y)³ = 27(x + y)³
Now, we will substitute the above value in the expression:
3x[3(x + y)]^3 = 3
x × 27(x + y)³ = 81x(x + y)³
Multiplying both terms of (x + 3)(x + y), we get:
(x + 3)(x + y)
= x(x + y) + 3(x + y) + 3y
= x² + xy + 3x + 3y + yx + 3y
= x² + 4xy + 6y + 3x
The final expression after substituting the value of 3x[3(x + y)]^3 and (x + 3)(x + y) is:
81x(x + y)³ × (x² + 4xy + 6y + 3x)
= 81x(x + y)³x² + 81xy(x + y) + 6xy + 27x(x + y)
= 81x³ + 189xy² + 81x²y + 6xy + 27x² + 81xy
Now, let's check which options are correct:- 3x is present in the expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.
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Frank earned f dollars mowing lawns. Bryce's earnings, b, were $15.25 less than 3.5 times as
much as Frank's earnings. Which of the following equations best represents this situation?
A. b = 3.5f + 15.25
B. f= 3.5b - 15.25
C. b = 3.5f-15.25
D. f = 3.5b + 15.25
pls help me ASAP
ty
Step-by-step explanation:
D = b² - 4ac
#1D = 10² - 4 · 3 · 2
D = 100 - 24
D = 76
#2D = (-5)² - 4 · 1 · (-4)
D = 25 - (-16)
D = 26 + 16
D = 42
#3D = 7² - 4 · 1 · (-8)
D = 49 - (-32)
D = 49 + 32
D = 81
#4D = 0² - 4 · 1 · (-9)
D = 0 - (-36)
D = 36
#5D = (-6)² - 4 · 5 · 10
D = 36 - 200
D = - 164
Simplify (2^-1 +5^-1)^2 *(-5/8)^-2
Answer: 1.2544
Step-by-step explanation:
2^-1 = 1/2
5^-1 = 1/5
1/2+1/5 = 7/10
(7/10)^2=49/100=0.49
(-5/8)^-2 = 64/25=2.56
(2^-1 +5^-1)^2 *(-5/8)^-2 = 0.49 * 2.56 = 1.2544
Consider the following primal problem:
Maximize
subject to:
z=7x
1
−5x
2
−2x
3
x
1
−x
2
+x
3
=10
2x
1
+x
2
+3x
3
≤16
3x
1
−x
2
−2x
3
≥−5
x
1
≥0,x
2
≤0,x
3
unrestricted in sign
Write down the dual problem of the above primal problem.
The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.
The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.
In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.
To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.
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60 X 10^8
1.2 * 10^5
Answer:
if you can tell me what this ^means i can help you
2 x 3/4 x 5 please help
Answer:
7 1/2
Step-by-step explanation:
Answer: The answer is 7.5
Step-by-step explanation: 2 X 3/4 = 1.5 and 1.5 X 5 = 7.5. so the answer is 7.5