A) The expected value of the sampling distribution is 0.40.
B) The standard error is 0.05.
C) The sampling distribution will be centered around the population proportion of 0.40, with a spread given by the standard error of 0.05.
D) By examining the sampling distribution, we can see how likely it is to obtain a certain sample proportion by chance alone, and therefore make conclusions about the population based on the sample.
A) The expected value (also called the mean) of a sampling distribution is equal to the population parameter being estimated. In this case, the population parameter is the proportion, p, which is 0.40.
B) The standard error is the standard deviation of the sampling distribution. For a proportion, the formula for the standard error is √((p(1-p))/n), where p is the population proportion and n is the sample size. Plugging in the values given, we get √((0.40(1-0.40))/100) = 0.049.
C) The sampling distribution of a proportion is approximately normal if both np and n(1-p) are greater than or equal to 10. In this case, np = 1000.40 = 40 and n(1-p) = 100*0.60 = 60, so the conditions for normality are met.
D) The sampling distribution of a proportion shows the distribution of all possible sample proportions of a given size that could be drawn from a population with a known proportion.
The sampling distribution allows us to make inferences about the population proportion, such as constructing confidence intervals or conducting hypothesis tests.
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Complete Question:
A random sample of size 100 is selected from a population with p =0 .40.
A. What is the expected value (to 2 decimals)?
B. What is the standard error (to 2 decimals)?
C. Show the sampling distribution (to 2 decimals).
D. What does the sampling distribution of show?
Please please please help asap
Answer:
The answer is 22 cards are left in the stack.
Step-by-step explanation:
Answer:
22 cards
Step-by-step explanation:
because you add 6 plus 26 and get 32 then subtract 7 which equals 25 then subtract once more with 3 and you get 22, i think..
Let n be an integer. Prove that if n2 is even, then n must be even. Use (a) A proof by contrapositive. (b) A proof by contradiction. 3. Let n be an integer. Prove that if n is even, then n2 -4s for some integer s.
(a) Proof by contrapositive:
To prove that if n^2 is even, then n must be even, we will prove the contrapositive statement: If n is odd, then n^2 is odd.
Assume that n is odd, which means it can be expressed as n = 2k + 1 for some integer k.
Now, let's square n:
n^2 = (2k + 1)^2 = 4k^2 + 4k + 1 = 2(2k^2 + 2k) + 1.
We can see that n^2 is of the form 2m + 1, where m = 2k^2 + 2k, and m is an integer.
Therefore, n^2 is odd. This completes the proof by contrapositive.
(b) Proof by contradiction:
To prove that if n^2 is even, then n must be even, we will assume the opposite and show that it leads to a contradiction.
Assume that n^2 is even, but n is odd.
Since n is odd, it can be expressed as n = 2k + 1 for some integer k.
Now, let's square n:
n^2 = (2k + 1)^2 = 4k^2 + 4k + 1 = 2(2k^2 + 2k) + 1.
We can see that n^2 is of the form 2m + 1, where m = 2k^2 + 2k, and m is an integer.
This contradicts the assumption that n^2 is even.
Therefore, our assumption that n is odd leads to a contradiction, and we conclude that if n^2 is even, then n must be even.
3. Proof that if n is even, then n^2 - 4 is for some integer s:
Assume that n is even, which means it can be expressed as n = 2k for some integer k.
Now, let's calculate n^2 - 4:
n^2 - 4 = (2k)^2 - 4 = 4k^2 - 4 = 4(k^2 - 1) = 2(2k^2 - 2).
We can see that n^2 - 4 is of the form 2m, where m = 2k^2 - 2, and m is an integer.
Therefore, if n is even, then n^2 - 4 is divisible by 2 and can be expressed as 2s, where s = k^2 - 1, and s is an integer.
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What is 9.14 divided by 0.04
[Mathematical Problem]
\(9.14\) ÷ \(0.04\)
Solution:
\(228.5\)
Hope this helps! Thanks and good luck!
SOME ONE HELP!!! You are still at (1,5). The zombie is 8.7 units below you. Enter the correct coordinates of the zombie below.
Answer:
(1,-3.7)
Step-by-step explanation:
subtract the y axis to go down
5 - 8.7 = -3.7
The solution is B ( 1 , -3.7 )
The coordinates of the zombie is given by B ( 1 , -3.7 )
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units: y=f(x+c) (same output, but c units earlier)
Right shift by c units: y=f(x-c)(same output, but c units late)
Vertical shift:
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given data ,
Let the initial point of the man be A
The value of A = A ( 1 , 5 )
Let the coordinates of the zombie be B
The value of B = B ( x , y )
The zombie is 8.7 units below
So , it is a vertical shift by 8.7 units
Therefore , the y coordinate will decrease by 8.7 units
Substituting the values in the equation , we get
B = A ( 1 , 5 - 8.7 )
B = B ( 1 , -3.7 )
Therefore , the value of B is B ( 1 , -3.7 )
Hence , the coordinates of B is B ( 1 , -3.7 )
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A mattress store is having a sale. All mattresses are 30% off. Nate wants to know the sale
price of a mattress that is regularly $1,000.
Which table represents the situation?
Answer:
sale price is
Step-by-step explanation:
1000x 30/100
1000x0.3
$300.00
$1000-300.00
=700 sale price
Answer:
The one on the upper right (Regular Price: $1000, Sale Price: ? Discount %30)
Step-by-step explanation:
I got it right on the i-Ready quiz!
Solve the equation 3(x - 2) = 12
Answer:
\(3(x - 2) = 12\)
\(x - 2 = 4\)
\(x = 4 + 2\)
\(x = 6\)
The answer is:
x = 6
Work/explanation:
For now, I will focus on the left side, and use the distributive property.
\(\begin{gathered}\sf{3(x-2)=12}\\\\\sf{3x-6=12}\\\\\bf{Add~6~on~each~side}\\\\\sf{3x=18}\\\\\sf{x=6}\end{gathered}\)
Hence, x = 6.
7h=-(2h-18)7h=−(2h−18) Solve for h
Answer:
h=2
Step-by-step explanation:
7h=−(2h−18)
Distribute the minus sign
7h = -2h +18
Add 2h to each side
7h +2h = -2h+2h +18
9h = 18
Divide each side by 9
9h/9 =18/9
h =2
Answer:
h = 2
I got it right on Kahn Academy
Which of the following is a counterexample to the given statement?
The name of every month ends in the letter y.
a. January
b. July
C February
d. December
The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right option is (c) February.
What is a counterexample?
In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.
Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."
Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.
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Which number is in the middle of -7 and 15?
Answer:
the answer os eleven
Step-by-step explanation:
As oyu see the half way number is 4 higher that 7 and 4 lower than 15.
Cynthia, a resident of Ottawa, earns $41,875 annually. If the Canadian government levies an income tax of 18. 6% on Cynthia’s tax bracket, what is her annual take-home pay? a. $39,623. 66 b. $34,086. 25 c. $27,016. 13 d. $22,513. 44.
Answer:
B. $34,086
Step-by-step explanation:
did the math
The total amount of annual take-home pay of Cynthia is $34,086.25
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
Cynthia earns $41,875 annually.
If the Canadian government levies an income tax of 18.6% on Cynthia’s tax bracket.
It can be calculated as
41,875 × 18.6%
41,875 × 18.6/100 = 7,788.75
The annual take-home pay
41,875 - 7,788.75 = $34,086.25
Thus, The total amount of annual take-home pay is $34,086.25.
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I need major help! Please answer
Answer:
The answer is (3,5)
Step-by-step explanation:
Sana Maka tulong
Managed timber stands average 150 trees per acre with standard
deviation of 40. Assume acres are normally distributed. Find
probability of a randomly selected timber stand having more than 92
trees
The probability of a randomly selected timber stand having more than 92 trees is 0.0744 or 7.44%.
Managed timber stands average 150 trees per acre with a standard deviation of 40. Assume acres are normally distributed.To find the probability of a randomly selected timber stand having more than 92 trees.We have to calculate the Z-Score using the formula,Z= (X-μ)/ σWhere X= 92 treesμ = 150 treesσ= 40Using the formulaZ= (X-μ)/ σZ= (92-150)/40= -1.45We know that the area under the normal distribution curve is 1. To find the probability of a random variable that falls between two points, we need to find the area between those points.A normal distribution curve is shown below:To find the probability of a randomly selected timber stand having more than 92 trees, we need to find the area to the right of Z= -1.45 using a normal distribution table. The probability is 0.0744 or 7.44%.Therefore, the probability of a randomly selected timber stand having more than 92 trees is 0.0744 or 7.44%.
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SM1 HELP ASAP ILL GIVE BRAINLIEST
Answer:
a.
Step-by-step explanation:
you add 2 & 3 ... you get 4. then you add 2 & 4 ... you get 6.
HELPPPPP PLEASEEEE!!!!!Find the Area of the Rectangle:
[Hint! Area of a Rectangle is A=1•w]
3x+1
2x+3
Answer:
62
Step-by-step explanation:
IM NOT SURE I THINK BUT hope this helps :)
Complete the inequality statement.
8 5/12___ 8 3/8
>
<
=
Please Help! Thank u!
16=4
49=7
289=17
Step-by-step explanation:
1. Evaluate 6x/y when x=10 and y=5 (the slash means to divide)
10
12
50
Answer:
(6*10)/5
= 60/5
= 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6x / y
Let x = 10 and y = 5
6*10 / 5
60/5
12
What is the net worth to be in the top 5 %?
In terms of the top 5%, the exact net worth that would place an individual in this category can vary depending on the time and location.
However, as of 2021, the median net worth of American households was around $121,000, so being in the top 5% would likely mean having a net worth significantly higher than this amount.
It is important to note that having a high net worth does not guarantee financial security, as factors such as income and spending patterns also play a role in overall financial well-being.
Nevertheless, having a high net worth can provide greater flexibility and security in terms of financial planning and decision-making.
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The image of the point B(8,-3) under the translation T6,0?
Answer:
(14, - 3 )
Step-by-step explanation:
Under the translation < 6, 0 >
Add 6 to the x- coordinate and 0 to the y- coordinate, that is
B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )
How does dating violence affect health? Click all that apply.
Answer:
b. c. d
Step-by-step explanation:
Answer:
Some teens are at greater risk than others.
For example, youth who are victims of teen dating violence are more likely to experience symptoms of depression and anxiety. Engage in unhealthy behaviors, like using tobacco, drugs, and alcohol. Exhibit antisocial behaviors, like lying, theft, bullying, or hitting.
Step-by-step explanation:
Yes all 3 you choose are correct
Construct a ∆ PQR , given that PQ = 5.5 cm ,QR = 4.8 cm and PR = 4.2 cm . Write steps of construction .
Answer:
Step-by-step explanation:
AT first, draw the reference line, which are given. If I take PQ as base, I won't need to draw PQ line as reference.
I took PQ(5.5cm) as base. Then, take 4.8cm in your compass by centering at point Q. Draw an arc. Then take 4.2 cm in your compass from the reference line which you have drawn and then centre at point P and draw an arc. Both the arcs will meet at one point. Then join the lines to form the Triangle PQR
If it takes 33
tbs of coffee
to make 10 cups,
how many tbs does
it take to make 1 cup?
PLEASE HURRY
Answer:
3.3 LBS
Step-by-step explanation:
33 pounds for 10 cups
33/10
3.3
GIVING BRAINLIEST!!!!!!
Answer:
y+x = -4
Step-by-step explanation:
-4 indicates where the line intercept the y axis
if we put y=0 we can find where line intercepts the x axis.
it results x = -4
the two values are negative
Find the area of the triangle.
Answer:
A
Step-by-step explanation:
Help^^^^^^^^^^^^^^^^^
Answer:
A,
23/6v+28
Step-by-step explanation:
Answer:
D. 23/6v+28
Step-by-step explanation:
A person completes 68 km in 50 minutes via Jeep. Starting 20 minutes, he travels by x km/hr and
next 25 minutes by 2x km/hr and rest time by 3x km/hr. What is the value of x ?
The value of x is 48 km/hr.
How to solve for X
Total distance = 68 km
Total time = 50 minutes
First part:
Duration = 20 minutes
Speed = x km/hr
Second part:
Duration = 25 minutes
Speed = 2x km/hr
Third part:
Duration = 50 - (20 + 25) = 5 minutes
Speed = 3x km/hr
We can calculate the distance traveled in each part using the formula:
distance = speed × time
For the first part:
distance1 = x × (20/60) = (1/3)x (because 20 minutes = 1/3 hour)
For the second part:
distance2 = 2x × (25/60) = (5/6)x (because 25 minutes = 5/12 hour)
For the third part:
distance3 = 3x × (5/60) = (1/4)x (because 5 minutes = 1/12 hour)
Now, we know that the total distance is 68 km, so:
distance1 + distance2 + distance3 = 68
(1/3)x + (5/6)x + (1/4)x = 68
To solve for x, we'll first find a common denominator for the fractions, which is 12:
(4/12)x + (10/12)x + (3/12)x = 68
Now, add the fractions:
(4+10+3)/12 * x = 68
17/12 * x = 68
To isolate x, we'll multiply both sides by the reciprocal of the fraction (12/17):
x = 68 * (12/17)
x = 4 * 12
x = 48
So, the value of x is 48 km/hr.
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In each of problems 5 through 11, find the general solution of the given differential equation
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function \(y(t)=e^t\) is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
\(y_1(t) = e^t\)
Given differential equations are,
y''-y = 0
So that,
\(y' (t) = e^t, y'' (t) = e^t\)
Substitute values in the given differential equation.
\(e^t -e^t=0\)
Therefore, the function \(y(t)=e^t\) is the solution of the given differential equation.
Another function;
\(y(t)=cosht\)
So that,
\(y"(t)=sinht\\\\y"(t)=cosht\)
Hence, function y(t)=cosht is solution of given differential equation.
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Could the number of cars owned be related to whether an individual has children? In a local town, a simple random sample of 200 residents was selected. Data was collected on each individual on how many cars they own and whether they have children. The data was then presented in the frequency table:
Number of Vehicles Do you have children Total
No Yes
Zero: 24 50 74
One: 27 25 52
Two or more: 57 17 74
Total: 108 92 200
Part A: What proportion of residents in the study have children and own at least one car? Also, what proportion of residents in the study do not have children and own at least one car? (2 points)
Part B: Explain the association between the number of cars and whether they have children for the 200 residents. Use the data presented in the table and proportion calculations to justify your answer. (4 points)
Part C: Perform a chi-square test for the hypotheses.
H0: The number of cars owned by residents of a local town and whether they have children have no association.
Ha: The number of cars owned by residents of a local town and whether they have children have an association.
What can you conclude based on the p-value?
The probability of number of 1-2 Children in car and 3 plus children in car is 0.203.
We have,
The possibility of the result of any random event is known as probability. This phrase refers to determining the likelihood that any given occurrence will occur.
The probability of P(1-2 children| car). P (3 plus children| car) is given by:
P = 63/88 × 25/88
P=0.203
The probability of P(Bus| 1-2 children). P (Bus | 3 plus children) is given by:
P = 38/101 × 49/74
P=0.249
The probability of P(Car |1-2 Children) is given by:
P= 63/101
P=0.624
The probability of P(3 plus children | Bus)is given by:
P=49/87
P=0.563
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complete question:
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
The table shows the mode of transportation to school for families with a specific number of children.
Mode of Transportation
Car
Number of
Children
0.284
1-2
63
38
3+
25
49
Total
88
87
A family from the survey is selected at random. Match the probability to each event.
0.662
Bus
0.203
0.249
101
74
175
0.624
P (3+ Children Bus)
Total
P(1-2 Children Car) - P (3+ Children Car)
Reset
P (Car 1-2 Children)
0.563
P (Bus 1-2 Children) - P (Bus 3+ Children)
▸
Naomi can text 90 words in 12 minutes. At this rate, how many minutes would it take her to text 165 words?
Answer:
Step-by-step explanation:
here cuhh
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⠄⠄⠄⣾⣿⠿⠿⠶⠿⢿⣿⣿⣿⣿⣦⣤⣄⢀⡅⢠⣾⣛⡉⠄⠄⠄⠸⢀⣿⠄
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Find f. F ' ( x ) = √ x ( 6 + 10 x ) f ( 1 ) = 13
Based on the provided informations, the function f(x) is calculated out to be f(x) = \($\frac{1}{25}(6+10x)^{\frac{5}{2}}+13-\frac{1}{25}(16)^{\frac{5}{2}}$\)
We can find the function f(x) by integrating the given derivative function f'(x). Using the power rule of integration, we have:
\(\int \sqrt{x(6+10x)} dx\)
We can simplify this expression by using substitution. Let u = 6 + 10x, then du/dx = 10 and dx = du/10. Substituting these into the integral, we have:
\($f(x) = \int \sqrt{x(6+10x)} dx\)
\(= \frac{1}{10}\int \sqrt{x}u^{\frac{1}{2}}du\)
\(= \frac{1}{10}\int u^{\frac{3}{2}}du\)
\(= \frac{1}{10}\cdot \frac{2}{5}u^{\frac{5}{2}}+C\)
\(= \frac{1}{25}(6+10x)^{\frac{5}{2}}+C$\)
where C is the constant of integration.
Using the given initial condition f(1) = 13, we can solve for the constant of integration:
\($f(x) = \frac{1}{25}(6+10x)^{\frac{5}{2}} + C\)
\(13 = \frac{1}{25}(16 +10x)^{\frac{5}{2}} +C\right)$\)
\(C= 13 - \frac{1}{25}(16)^{\frac{5}{2}}\right)$\)
Therefore, the function f(x) is: \($\frac{1}{25}(6+10x)^{\frac{5}{2}}+13-\frac{1}{25}(16)^{\frac{5}{2}}$\)
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