Answer:
2.25
Step-by-step explanation:
(3/4)3 = 3/4 × 3 = 2.25I hope this helps!
which of the following describes a scenario in which a chi-square goodness-of-fit test would be an appropriate procedure to justify the claim? responses a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a statistician would like to show that one geographical location has a higher proportion of dogs that shed than another geographical location has. the statistician has two independent random samples of dogs from two different geographical locations and has recorded the proportion of dogs that shed in each sample. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a principal would like to investigate whether more than 50% of the students in a local high school eat in the school cafeteria. the principal has a random sample of individuals within the school and records the proportion of the students who eat lunch in the school cafeteria. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported. the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories. a manager of a water treatment plant would like to investigate whether there is a relat
a) The campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
b) A Chi-Square goodness of fit test.
a) A campaign manager would like to show that the distribution of individuals within several social economic categories is different than what a newspaper reported and that's why we know that the campaign manager has a random sample of potential voters in a large city and records the number of individuals within each of the categories.
Chi-Square goodness of fit is used to find out how the observed value of a given phenomenon is significantly different from the expected value. In Chi-Square goodness of fit test, the sample data is divided into intervals.
In this case, we have one categorical variable which is the distribution of individuals within several social groups. We want to see if the actual distribution of the variable is significantly different from the distribution within several social groups as claimed(expected) by the newspaper.
Hence, we will use chi-square goodness of fit test for this case.
b) A Chi-Square goodness of fit test.
Here the variable is the distribution of individuals purchasing season pass at an amusement park. The variable has 4 categories based on the age group of the individuals.
A tourist company wants to test the actual distribution of individuals within each age group and wants to check if it is significantly different from the expected distribution i.e the one claimed by the amusement park.
The tourist company randomly sampled 200 individuals entering the park.
The proportion of individuals within each group as claimed by the amusement park is given.
Hence, we will use chi-square goodness of fit test to test if the actual distribution within each group is significantly different or not from the claimed distribution.
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the curve of f(x) between x=a and x=b 29. Consider the area under the curve f(x) = x, from x = 0 to x = 5. The graph below shows the function f(x)= x, with the area under the curve between x=0 and x=5 shaded in. y-axis a. Notice that area is the area of a triangle: use the formula for the area of a triangle, Area = base x height, to calculate the area of the shaded in region. x-axis -5-4-3-2 b. Now lets calculate the same area using the definite integral fx dx. Evaluate this definite integral to get the area under the curve. c. The answers in parts (a) and part (b) above should be the same: are they?
The area under a curve can be calculated by evaluating the definite integral of the function representing the curve between the given limits.
a. To calculate the area of the shaded region using the formula for the area of a triangle, we need to determine the base and height. In this case, the base is the length between x=0 and x=5, which is 5 units. The height is the value of the function f(x) = x at x=5, which is also 5 units. Applying the formula for the area of a triangle, Area = base x height, we get Area = 5 x 5 = 25 square units.
b. To calculate the same area using the definite integral, we can use the formula ∫(f(x) dx) from x=0 to x=5. In this case, the function f(x) = x, so the integral becomes ∫(x dx) from 0 to 5. Integrating x with respect to x gives (1/2)x^2, so the definite integral becomes [(1/2)(5)^2] - [(1/2)(0)^2] = (1/2)(25) - (1/2)(0) = 12.5 square units.
c. The answers in parts (a) and (b) above are indeed the same. Both methods, using the formula for the area of a triangle and evaluating the definite integral, yield an area of 25 square units. This demonstrates the fundamental relationship between the area under a curve and the definite integral. In this case, the result confirms that the area of the shaded region is indeed 25 square units, regardless of the method used for calculation.
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340 Divided by 4????
Answer:
85
Step-by-step explanation:
Exponential Distributions There is a room with 20 light bulbs. The time until the bulb goes out is a random variable with an exponential distribution. They are all i.i.d. with mean 10 minutes 1. I enter the room at time 0 (i.e. all of the bulbs are on and none have burned out). What is the probability that 10 of the bulbs will burn out in the next 10 minutes. (hin start by finding the probability that a single bulb will burn out within the next 10 minutes) 2. I will begin my homework after the first bulb goes out, what is the expected amount of time until this happens. (hint: Assume that there two bulbs in the room and find the pdf for the amount of time until the first bulb goes out. Use this result to generalize.) 3. I leave the room after the last light bulb goes out. Let T denote this random variable (the time when I leave the room). Find the pdf of 1T
The probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321. The expected amount of time until the first bulb goes out is 10 minutes. The probability density function (pdf) of the random variable T, representing the time when you leave the room after the last light bulb goes out, is given by \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\).
To find the probability that a single bulb will burn out within the next 10 minutes, we can use the exponential distribution. The exponential distribution with a mean of 10 minutes has a rate parameter λ = 1/10.
The probability density function (pdf) for an exponential distribution is given by \(f(x) = λ * e^{(-λx)}\)
In this case, we want to find the probability that a bulb burns out within the next 10 minutes, which corresponds to the cumulative distribution function (CDF) at x = 10. The CDF is given by \(F(x) = 1 - e^{(-λx)\)
So, substituting the values, we have:
\(F(10) = 1 - e^{(-(1/10)*10)\)
\(= 1 - e^{(-1)\)
= 1 - 0.3678794412
≈ 0.6321
Therefore, the probability that a single bulb will burn out within the next 10 minutes is approximately 0.6321.
The amount of time until the first bulb goes out follows an exponential distribution with a rate parameter of λ = 1/10 (since it has a mean of 10 minutes).
The probability density function (pdf) for the time until the first bulb goes out is given by\(f(t) = λ * e^{(-λt).\)
To find the expected amount of time until the first bulb goes out, we need to calculate the mean (or expected value) of this distribution.
The expected value of an exponential distribution with rate parameter λ is equal to 1/λ. In this case, the expected value is 1/(1/10) = 10 minutes.
Therefore, the expected amount of time until the first bulb goes out is 10 minutes.
To find the probability density function (pdf) of the random variable T, which represents the time when you leave the room (after the last light bulb goes out), we need to consider the distribution of the maximum of the exponential random variables.
Since there are 20 light bulbs in the room, and each follows an exponential distribution with a rate parameter λ = 1/10, the time until the last bulb goes out can be modeled as the maximum of 20 exponential random variables.
The pdf of the maximum of independent exponential random variables with the same rate parameter λ is given by \(g(t) = n * λ * e^{(-λt)} * (1 - e^{(-λt))^(n-1)}\), where n is the number of random variables.
In this case, n = 20, and λ = 1/10. Thus, the pdf of T is \(g(t) = 20 * (1/10) * e^{(-(1/10)t)} * (1 - e^{(-(1/10)t))^(19)}\)
This expression represents the pdf of the random variable T, which denotes the time when you leave the room after the last light bulb goes out.
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Ash has 4 dounts and she ate 2/7 of the dounts, So how much dounts have she eaten? I NEED HELP ASAP! I’ll give brainlest!
Answer: Ash has eaten 2/7 of her 4 donuts, which is equal to 8/7 or approximately 1.143 donuts.
What additional information is needed to prove that the
triangles are similar?
To prove AXYZ - AMNO using SSS, you need to
know that
Now that you know the length of XZ, you need to know
that angle O is congruent to v to prove AXYZ- AMNO using SAS.
Can someone explain please!!!
Answer:
Step-by-step explanation:
To prove ΔXYZ ~ ΔMNO using the property of SSS, we need to know that All corresponding sides of these triangles are proportional.
Similarly, If we know the length of side XZ then addition information we need to know that angle O is congruent to angle Z and length of sides YZ, MO and NO to prove ΔXYZ ~ ΔMNO by SAS property.
Angle O is the contained angle between the sides MO and NO.
Answer:
1. MN = 6 and XZ = 17.5
2. angle Z
Step-by-step explanation:
Sorry if this is a late answer but I hope this helps :)
Use the formula given to solve all those 3 please ASAP!!!
Answer:
look down
Step-by-step explanation:
where is it?
Im not seeing a thing
Factor by gcf 6x2+3x+21 The 2 is supposed to be small.
Given:
The expression is:
\(6x^2+3x+21\)
To find:
The factor of the given expression by GCF.
Solution:
It is given that,
\(6x^2+3x+21\)
The terms of the given expression are \(6x^2,3x,21\). The greatest common factor of these terms is 3.
\(6x^2+3x+21=3\times 2x^2+3\times x+3\times 7\)
So, taking out the GCF, the given expression can be rewritten as:
\(6x^2+3x+21=3(2x^2+x+7)\)
Therefore, the factor form of the given expression by GCF is \(3(2x^2+x+7)\).
A fair, 20-sided die with sides labeled 1 through 20 is rolled.
Consider the following events, and then answer the question.
A: rolling an even number
B: rolling a multiple of 4
C: rolling a number greater than 11
D: rolling a factor of 20
Which probability is the smallest?
–14d+12d+11d+18=–18 solve d
By solving the given equation, d = -4
To find d in the equation -14d + 12d + 11d + 18 = -18, we need to combine similar terms on the left side of the equation and isolate the variable.
Combining similar terms, we get:
(-14 + 12 + 11)d + 18 = -18
9d + 18 = -18
We can then extract the variable by shifting the constant term to the other side of the equation:
9d = -18 - 18
9d = -36
Finally, we can find d by dividing both sides of the equation by 9:
d = -36/9
d = -4
Therefore, the solution of the equation is d = -4. When d equals -4, the equation is balanced and both sides of the equation are equal.
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someone pls help asap i’m very desperate! thanks!!
Answer:
A: $250B: $600, earns more interestStep-by-step explanation:
The simple interest formula is ...
I = Prt . . . . . r is the interest rate, t is the number of years
Solving for P, we have ...
P = I/(rt)
Account A6 months is 1/2 year, so the principal is ...
P = $4.38/(0.035×1/2) = $250.2857...
Rounded to the nearest dollar, the principal invested is $250.
__
Account BUsing the same approach, for 18 months, t = 18/12 = 3/2 = 1.5.
P = $20.70/(0.023×1.5) = $600
The principal in Account B is $600.
__
First Month's Interest
Using the interest formula, the first month's interest in each account is ...
A: I = 250×0.035×1/12 = $0.73
B: I = 600×0.023×1/12 = $1.15
Account B earns more interest in the first month.
Edwin is taking his pitbull to the dog boarder while he and his family go on vacation to Ireland. He needs to know how many cups of dog food he should pack. His pitbull will be boarded for a total of 9 days, and she gets x cups of food each morning and y cups of food each evening.
Pick all the expressions that represent how many cups of food Edwin should pack.
Answer choices:
18(x+y)
9+x+y
9x+9y
9(x+y)
Answer:
9x+9y
9(x+y)
These are the expressions that represent how many cups fo food Edwin should pack.
Step-by-step explanation:
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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graph below.
Plumbing Jobs
Total Charge
(in dollars)
225
200
175
150
125
100
75
50
25
5
0 31 2 3 4
Number of Hours
4.
What is the slope of the line graphed
above?
Need help with this question, will give brainliest
Answer:
1/2
Step-by-step explanation:
So lets go over what slope is.
The formula for slope is y/x
To find this, we can just count the change in y, and put it over x.
So lets see.
On the graph, we can count that y goes up by one, and that x goes to the right by 2.
So this means our slope is y/x, or 1/2.
This is our answer.
I hope this helps! :)
I included a visual of this as well!
find the range of the data!
9, 13, 17, 10, 8, 9, 12, 16, 16, 10
Answer:
its 1
Step-by-step explanation:
10-9 = 1
Look at the black points on the graph. Fill in the missing coordinates for y = 2x.
(0,
) and (
, 32)
exponential growth graph
The missing coordinates of the exponential function are (0, 1) and (5, 32)
How to complete the missing coordinatesFrom the question, we have the following parameters that can be used in our computation:
y = 2ˣ
Also, we have
(0, __) and (__, 32)
For the first coordinate, we have
y = 2⁰
y = 1
For the second coordinate, we have
2ˣ = 32
x = 5
So, the missing coordinates are (0, 1) and (5, 32)
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A cylinder is sliced in such a way that the plane passes through the cylinder in a slanted direction without going through either base, what is the resulting cross section?
When a cylinder is sliced in such a way that the plane passes through the cylinder in a slanted direction without going through either base, the resulting cross section is an elliptical shape.
To visualize this, imagine a cylinder with circular bases. When a plane intersects the cylinder in a slanted direction, it cuts through the curved surface of the cylinder, creating an elliptical cross section.
The exact shape and size of the elliptical cross section will depend on the angle at which the plane intersects the cylinder and the specific orientation of the cylinder. The major axis of the resulting ellipse will be parallel to the slanted direction of the plane, while the minor axis will be perpendicular to it.
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The midpoint of a line segment ab is (1, 2). point a coordinates are (3,-3)
and point b coordinates are (x, 7). find the value of x.
The value of x in (x,7) is -1
Mid Point of a line segment is defined as the point which divides the line segment in equal ratio that means divides in two equal parts.
Let one end point of line segment be A(a,b) and other end be B(c,d)
then its mid point X(x,y) will be given by \(x=\frac{a+c}{2} , y=\frac{b+d}{2}\)...….(1)
Given the points A(3,-3) and B(x,7) and the midpoint X(1,2)
The mid point \((1,2)=(\frac{3+x}{2} ,\frac{-3+7}{2} )\)...............using (1)
On comparing the x coordinate we get
\(1=\frac{3+x}{2}\)
On cross multiplying we get
\(2=3+x\)
On solving further
\(x=-1\)
Therefore , the value of x in (x,7) is -1.
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A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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The library had 200 visitors over the weekend, 150 of whom were female.The library expects to have 500 visitors this week. Using the information given, how many of visitors are expected to be female? Enter your answer in the box.
Answer:
375 females
Step-by-step explanation:
150/200 = 75%
375/500 = 75%
Type the expression that results from the following series
of steps:
Start with x and multiply by itself.
Answer: x^2 (the ^ represents that the next number is an exponent)
Step-by-step explanation:
Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.
He to write r > -10/3 on a number line
Solution
To write r > -10/3 on a number line,
Step 1: Draw a number line and include -10/3 on it
Step 2: Draw an arrow to the right with the small circle at its initial
what is the equation of a line that passes through(8,-5) and is parallel to the graphed line? A: y=-4/3x-47/3 B: y=-4/3x+17/3
The option B is correct.Because we can find that equation of line is parallel to y=-4/3x+17/3
How do we find the equation of a line that passes through a point?These are the two following methods to finding the equation of a line when given a point and the slope.First by putting the (x, y) point values into y = mx + b, then solve for b.Then find equation y − y 1 = m ( x − x 1 ) where ( x 1 , y 1 ) is the point given and m is the slope given.
What is the formula for line equation?The equation of a straight line is y=mx+b where m is the slope and b is the height at which the line crosses the y -axis, also known as the y -intercept.We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.
Now we find
y=mx+b (8,-5)
we know that m=-4/3 x=8 y=-5
-5=-4/3(8) +b
-15=-32+b
-15+32 =b
17 =b
Now we find line of equation
y-\(y_{1}\)=m(x-\(x_{1}\))
y-(-5)=-4/3 (x-8)
3(y+5)=-4(x-8)
3y+15=-4x +32
3y= -4x +32-15
3y= -4x+17
y= -4/3 +17/3
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Tony performs a dilation on Figure R. He uses a scale factor of 4 with a center of dilation at the orgin.
What are the coordinates of the image of vertex P?
The x- coordinate of the vertex P is -4 and the y coordinate is -3. The coordinates of the image of vertex P is thus, (-4, -3).
What are coordinates?Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.
The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.
For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).
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Find the distance between the two points (-4,1) (4,5)
Students in a class were surveyed about the number of children in their families. The results of the survey are shown in the table. Two surveys are chosen at random from the group of surveys. After the first survey is chosen, it is returned to the stack and can be chosen a second time. What is the probability that the first survey chosen indicates four children in the family and the second survey indicates one child in the family?.
The probability that the first survey indicates four children in the family and the second survey indicates one child in the family is 1/50.
We have,
To find the probability of the first survey indicating four children in the family and the second survey indicating one child in the family, we need to consider the number of surveys that fit this condition and divide it by the total number of possible surveys.
According to the table, the number of surveys indicating four children in the family is 8, and the total number of surveys is:
= 9 + 18 + 22 + 8 + 3 = 60.
Since the first survey is returned to the stack and can be chosen again, the probability of the first survey indicating four children in the family is 8/60.
For the second survey, there are 9 surveys indicating one child in the family (as the first survey is returned to the stack and can be chosen again), and the total number of surveys remains 60.
Therefore, the probability of the second survey indicating one child in the family is 9/60.
To find the probability of both events occurring, we multiply the individual probabilities:
Probability = (8/60) x (9/60) = 72/3600 = 1/50
Thus,
The probability that the first survey indicates four children in the family and the second survey indicates one child in the family is 1/50.
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The complete question:
Number of children in family Number of surveys
one 9
tqo 18
three 22
four 8
five or more 3
Round 27834 to 2 significant figures
28000 is the answer.
you count two numbers from front and approximate
Someone please help me
Answer:
a
Step-by-step explanation:
A 3-column table with 4 rows is shown. The first column has entries Florida, Hawaii, Montana, Oregon. The second column is labeled Population with entries 19,317,568, 1,392,313, 1,005,141, and 3,899,353. The third column is labeled Area (miles squared) with entries 53,927, 6,423, 145,552, and 95,997.
Which statements are true? Check all that apply.
The population density for Montana can be found using the ratio 1,005,141:145,552.
The population density for Oregon can be found using the ratio 95,997:3,899,353.
The population density for Hawaii is greater than the population density for Florida.
The state with the smallest population density is Oregon.
The state with the smallest population density is Montana.
Answer:
It's the first and last one
Step-by-step explanation:
I just did it
Answer:
A) The population density for Montana can be found using the ratio 1,005,141:145,552.
E)The state with the smallest population density is Montana.
Step-by-step explanation: