Interpret the confidence interval. Select the correct choice below and fill in the answer boxes to complete your choice (Round to one decimal place as needed.) I O A. We can be 95% confident that the mean duration of imprisonment, p, of all political prisoners with chronic PTSD is somewhere between 19 4 months and 46.1 months. O B. There is a 95% chance the mean duration of imprisonment, p, of all political prisoners with chronic PTSD will equal the mean of the interval from 19.4 months to 46.1 months
Answers
We can be 95% confident that the mean duration of imprisonment, p, of all political prisoners with chronic PTSD is somewhere between 19.4 months and 46.1 months.
Therefore the answer is A.
A confidence interval is a range of values that is likely to contain the true population parameter (in this case, the mean duration of imprisonment for political prisoners with chronic PTSD). The confidence level (in this case, 95%) indicates the percentage of times that the interval will contain the true population parameter in repeated sampling.
Option A correctly interprets the confidence interval by stating that we can be 95% confident that the true mean duration of imprisonment for political prisoners with chronic PTSD falls between 19.4 months and 46.1 months. This means that if we were to take many random samples of political prisoners with chronic PTSD and calculate the mean duration of imprisonment for each sample, 95% of the resulting confidence intervals would contain the true population mean.
Option B is incorrect because a confidence interval does not give the probability of the population parameter being in a particular range. It only gives the probability that the interval will contain the true population parameter if the sampling and estimation process is repeated many times.
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Related Questions
Can anyone help me with this? I don’t get it.
Answers
Answer:
D
Step-by-step explanation:
A triangle with sides 2, 4.5, and 6 is similar to a triangle with sides 4, 9, and 12.
\( \frac{4}{2} = \frac{9}{4.5} = \frac{12}{6} = 2\)
in simplest form is _______.
Answers
Answer:
5/7
Step-by-step explanation:
The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.
Write an equation using four numbers that multiply to 0, neither of which are opposites.
Answers
Answer:
0 x anything = 0
Step-by-step explanation:
Anything multiplied by 0 = 0
1. Which of the following is NOT equivalent to
"3 times the sixth power of 10?"
A 3 X 106
B 3,000,000
© 3 X 10 X 6
D 3 X 1,000,000
Answers
Answer: C
Step-by-step explanation:
This is 3 times 10 times 6, not 3 times the sixth power of 10.
Which number is the largest ?
-0.65, -0.622, -5/8
Answers
Answer: 0.622
step-by-step explanation
Answer:
-0.622.
Step-by-step explanation:
Convert -5/8 to a decimal:
= -0.625.
So the largest number is -0.622.
Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagonal prism with a cylinder measures 13.9cm. What is the height of the 4th tower when all three shapes are used?
Answers
Answer:
\(Tower 4 = 23.9cm\)
Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
\(X + Z = 15.6\) ----- Equation 1
\(X + Y = 18.3\) ----- Equation 2
\(Z + Y = 13.9\) ----- Equation 3
Subtract equation 1 from 2
\((X + Y = 18.3) - (X + Z = 15.6)\)
\(X - X + Y - Z = 18.3 -15.6\)
\(Y - Z = 18.3 -15.6\)
\(Y - Z = 2.7\) ---- Equation 4
Add Equation 4 to Equation 3
\((Y - Z = 2.7) + (Z + Y = 13.9)\)
\(Y + Y - Z + Z = 2.7+ 13.9\)
\(2Y = 2.7+ 13.9\)
\(2Y = 16.6\)
Divide both sides by 2
\(\frac{2Y}{2} = \frac{16.6}{2}\)
\(Y = \frac{16.6}{2}\)
\(Y = 8.3cm\)
Substitute \(Y = 8.3cm\) in Equation 2 and 3
\(X + Y = 18.3\) ----- Equation 2
\(X + 8.3 = 18.3\)
Subtract 8.3 from both sides
\(X + 8.3 - 8.3 = 18.3 - 8.3\)
\(X = 18.3 - 8.3\)
\(X = 10cm\)
\(Z + Y = 13.9\) ----- Equation 3
\(Z + 8.3 = 13.9\)
Subtract 8.3 from both sides
\(Z + 8.3 - 8.3 = 13.9 - 8.3\)
\(Z = 13.9 - 8.3\)
\(Z = 5.6cm\)
So, we have that
\(X = 10cm\)
\(Y = 8.3cm\)
\(Z = 5.6cm\)
The question states that the 4th tower is made up of the three shapes;
This implies that;
\(Tower 4 = X + Y + Z\)
\(Tower 4 = 10cm + 8.3cm + 5.6cm\)
\(Tower 4 = 23.9cm\)
The height of the 4th tower is 23.9cm
Write an equivalent expression that does not use parentheses.
9(3 - x)
Answers
You can use distributive property to open up the brackets and get an equivalent expression.
Hope that helps :)
Answer:
i'm going to be honest and say sorry if i its wrong but
i think its 27 - 9x
and ageing sorry if its wrong
Step-by-step explanation:
A student was asked to give the exact solution to the equation
22x+4-9(2) = 0
The student's attempt is shown below:
22x+49(2)=0
22x+24-9(2) = 0
Let 2* = y
y²-9y+8=0
(y-8)(y-1)=0
y = 8 or y=1
So x = 3 or x = 0
(a) Identify the two errors made by the student.
(b) Find the exact solution to the equation.
Answers
(a) The errors made by the student are:
Incorrectly expanding 49(2) as 24 instead of 98.
Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of
\(y^{2} - 9y + 8.\)
(b) The exact solution to the equation is x = 7/11.
(a) The student made two errors in their solution:
Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.
Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)
(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:
Starting with the original equation: \(22x + 4 - 9(2) = 0\)
Simplifying: 22x + 4 - 18 = 0
Combining like terms: 22x - 14 = 0
Adding 14 to both sides: 22x = 14
Dividing both sides by 22: x = 14/22
Simplifying the fraction: x = 7/11
Therefore, the exact solution to the equation is x = 7/11.
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PLZ ANSWER THIS AND GIVE AN EXPLANATION!!!
I WILL MARK BRAINLIEST!!!
Answers
Answer:
-3+(-5)=-8
-5+(-3) is also -8
Step-by-step explanation:
if the parenthesis is separating the + and - then you just add the numbers and add the symbol.
Work out the surface area of this solid prism.

The diagram is not drawn to scale.
Answers
Connie can clean her house in 3.5 hours. If Alvaro helps her, together they can clean the house in 1 hour and 40 minutes. How long would it take Alvaro to clean the house by himself?
Answers
Answer:
1 hour and 50 minutes
Step-by-step explanation:
Time Connie takes to clean the house: 210 minutes
Time takes for both of them at the same time: 100 minutes.
210 - 100 = 110 minutes
Therefore, Alvaro takes one hour and 50 minutes to clean the house by himself.
Answer:Alvaro can clean the house alone in approximately 3.89 hours.
Step-by-step explanation:
If Connie can clean her house in 3.5 hours, then her rate of work is 1/3.5 of the house per hour. Together, Connie and Alvaro can clean the house in 1 hour and 40 minutes, or 1.67 hours.
To find how long it would take Alvaro to clean the house alone, we can use the formula:
combined rate of work = sum of individual rates of work
So, (1/3.5 + 1/a) * 5/3 = 1, where "a" is the time it takes Alvaro to clean the house alone.
Simplifying the equation, we get 1/a = 9/35, which means that Alvaro can clean the house alone in approximately 3.89 hours (or 3 hours and 53 minutes).
Which transformations map the strip pattern onto itself?
PPPPP
O
a horizontal translation only
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
a horizontal translation and a 180° rotation
Answers
Answer:
2nd is correct
But u can also write by guessing. it is the best trick used by toppers.
Solve by completing the square: x² + 12x - 6 = 0
Answers
Answer:
\(\begin{gathered} x=-6+\sqrt{42} \\ x=-6-\sqrt{42} \end{gathered}\)Explanation:
Given the equation:
\(x^2+12x-6=0\)To solve the equation by completing the square, follow the steps below:
Step 1: Take the constant to the right-hand side.
\(x^2+12x=6\)Step 2: Divide the coefficient of x by 2, square it and add it to both sides.
\(\begin{gathered} x^2+12x+(\frac{12}{2})^2=6+(\frac{12}{2})^2 \\ x^2+12x+(6)^2=6+(6)^2 \end{gathered}\)Step 3: Write the left-hand side as a perfect square.
\(\begin{gathered} (x+6)^2=6+36 \\ (x+6)^2=42 \end{gathered}\)Step 4: Take the square root of both sides.
\(\begin{gathered} \sqrt{(x+6)^2}=\pm\sqrt{42} \\ x+6=\pm\sqrt{42} \end{gathered}\)Step 5: Solve for x.
\(\begin{gathered} x=-6\operatorname{\pm}\sqrt{42} \\ \implies x=-6+\sqrt{42},x=-6-\sqrt{42} \end{gathered}\)
How many four-digit odd numbers less than 5000 can be formed using the digits 2, 3, 4, 5, 6, and 9?
Answers
Answer: 6.
Step-by-step explanation: We can solve this problem by using the combination formula:
C(n, r) = n! / (r! * (n - r)!)
In this case, n is the number of choices (the digits 2, 3, 4, 5, 6, and 9) and r is the number of items in each combination (4 digits).
Plugging in the values, we get:
C(6, 4) = 6! / (4! * 2!) = (6 * 5 * 4 * 3) / (4 * 3 * 2) = 30
Therefore, there are 30 four-digit odd numbers that can be formed using the digits 2, 3, 4, 5, 6, and 9. However, not all of these numbers will be less than 5000, so we need to further filter the list to only include those that meet this requirement.
The four-digit odd numbers that can be formed using these digits are:
2359, 2395, 2539, 2593, 2935, 2953, 3259, 3295, 3529, 3592,
3925, 3952, 5239, 5293, 5329, 5392, 5923, 5932, 9235, 9253,
9352, 9523, 9532
Out of these numbers, only 2359, 2539, 2935, 3925, 5239, and 9523 are less than 5000. Therefore, there are 6 four-digit odd numbers less than 5000 that can be formed using the digits 2, 3, 4, 5, 6, and 9.
Therefore, the final answer is 6.
Honors PreCalc Behavior Test
Question 15
Answers
A function which is represented by the graph is: reciprocal; y = 1/x
What is a reciprocal function?A reciprocal function can be defined as a type of function which comprises a constant on its numerator and an algebraic expression in its denominator such as: f(x) = 2/x.
In Mathematics, a reciprocal function is typically used when describing relationships that are inversely proportional to one other.
In this context, we can reasonably and logically deduce that this graph represents a reciprocal relationship with a downward slope, an undefined value at x = 0, and it is symmetric about the origin.
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Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Sixteen high school students completed a math exam, but only 12 students received a passing grade. Which expression represents the ratio of passing grades to failing grades?
Answers
Answer:
4:3 that's the answer
for the question
Answer:
4:3 is the correct answer
Step-by-step explanation:
The total students that took the exam is 16 but the students that passed are only 12 the ratio that represent it is remember ratio means division so is 16/12 which one / 4 will give you for over 3 as a correct answer
Type the correct answer in each box.
Consider the expressions shown below.
А.
B
C с
-872
-
3.5 + 4812
3r + 8 8r2 + 3r
4
Complete each of the following statements with the letter that represents the expression.
-
(3x2 7x + 14) + (5x2 + 41 6) is equivalent to expression
(2x2 – 5x – 3) + (-10x2 + 2x + 7) is equivalent to expression
(12t2 – 2x – 13) + (-4x2 + 5x + 9) is equivalent to expression
Answers
Answer/Step-by-step explanation:
✔️(3x² - 7x + 14) + (5x² + 4x - 6)
3x² - 7x + 14 + 5x² + 4x - 6 (distributive property)
Add like terms
3x² + 5x² - 7x + 4x + 14 - 6
8x² - 3x + 8
Therefore:
✅(3x² - 7x + 14) + (5x² + 4x - 6) is equivalent to expression 8x² - 3x + 8.
✔️(2x² - 5x - 3) + (-10x² + 2x + 7)
2x² - 5x - 3 - 10x² + 2x + 7 (distributive property)
Add like terms
2x² - 10x² - 5x + 2x - 3 + 7
-8x² - 3x + 4
Therefore:
✅(2x² - 5x - 3) + (-10x² + 2x + 7) is equivalent expression to -8x² - 3x + 4
✔️(12x² - 2x - 13) + (-4x² + 5x + 9)
12x² - 2x - 13 - 4x² + 5x + 9
12x² - 4x² - 2x + 5x - 13 + 9
8x² + 3x - 4
Therefore:
✅(12x² - 2x - 13) + (-4x² + 5x + 9) is equivalent expression to 8x² + 3x - 4
Answer:
B, A, C
Step-by-step explanation:
factorize for me
y + 3y + 2-sin2x=0
Answers
Answer:
−(−4y−2+sin2(x))=0
Step-by-step explanation:
Here is a picture of some sea animals. The number line on the left shows the vertical position of each animal above or below sea level, in meters.
1. How far above or below sea level is each animal? Measure to their eye level.
2. A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
3. An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
4. A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
5. The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?
Answers
Answer:
How far above or below sea level is each animal? Measure to their eye level.The jumping dolphin is approx. 6 meters under sea level
The flying seagull is approx. 8 meters under sea level
The mobula ray is approx. 2 meters under sea level
The clownfish is approx.t 4 meters under sea level
The octopus is approx. 8 meters under sea level
A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.
The flying seagull: The mobula ray is 11 meters lower than the flying seagull.
The octopus: The mobula ray is 11 meters higher than the octopus.
An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.
The flying seagull: The albatross is 3 meters lower than the flying seagull.
The octopus: The albatross is 13 meters higher than the octopus.
A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.
The flying seagull: The clownfish is 10 meters lower than the flying seagull.
The octopus: The clownfish is 6 meters higher than the octopus.
The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.
If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.
✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
Answers
StartFraction 32 Over 8 EndFraction = StartFraction 28 Over x EndFraction
a.
x = 4
c.
x = 8
b.
x = 28
d.
x = 7
Answers
Answer:
d. x = 7
Step-by-step explanation:
\(\frac{32}{8} = \frac{28}{x}\)
Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":
8 * 28 = 224
32 * x = 32x
\(32x = 224\)
Divide both sides by 32:
\(\frac{32}{32} = \frac{224}{32}\)
[x = 7]
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answers
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
Help help help help (-_-)
Answers
Answer:
98
Step-by-step explanation:
PLEASE HELP ME there’s a picture to show !!
If AOCD AJAL, then which of the following statements are true? Select True or False for each statement
Answers
Answer:
true
Step-by-step explanation:
Answer:
It's true bro
Step-by-step explanation:
Given g(x) = −4x + 4, identify the domain, range, and x-intercept of the function. Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (1, 0) Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (−1, 0) Domain: −4 < x < 4; Range: − 4 < y < ∞; x-intercept (1, 0) Domain: −4 < x < 4; Range: −∞ < y < 4; x-intercept (−1, 0)
Answers
The correct option is option B. The domain of function is -∝ < x < ∝, the range is -∝ < y < ∝, and the x-intercept is (-1, 0).
What is the linear function ?
A linear function is a function that represents a straight line on the coordinate plane. It has the form , y = f(x) = ax + b.
The equation of the function is given as g(x) = 4x + 4
Here , we can identify that the function g(x) is a linear function.
We know that , a linear function's input and output values are completely unrestricted. As a result, the domain and range of a linear function are the set of all real numbers.
The domain of the function is -∝ < x < ∝.
The range of the function is -∝ < y < ∝.
Now set g(x) to 0, to determine the x-intercept.
So, we have; 4x + 4 = 0.
Divide both sides of equation by 4
So, we get
x + 1 = 0
or
x = - 1
The x-intercept of the function will be (-1, 0).
Therefore , the domain of the function is -∝ < x < ∝, the range of the function is -∝ < y < ∝, and the x-intercept of the function is (-1, 0)
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(-1,1,5)
9
8
7-
6
5
4
3₂
-3-2-1₁
(1,5)
(0,3)
Which exponential function is represented by the graph?
Of(x)=2(3¹)
Of(x)=3(3)
Of(x)=3(2)
O f(x) = 2(2¹)
Answers
The value of the equation that defines the function is f(x) = 3(5/3)ˣ
Finding an equation defining the functionFrom the question, we have the following parameters that can be used in our computation:
(0, 3) and (1, 5)
An exponential function is represented s
y = abˣ
Where,
a = y when x = 0
So, we have
y = 3bˣ
Using the other point, we have
3b = 5
This gives
b = 5/3
So, we have
f(x) = 3(5/3)ˣ
Hence, the equation defining f is f(x) = 3(5/3)ˣ
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You invest $1850 in an account paying 5.2% interest compounded daily. What is the account's effective annual yield?
Answers
Answer: 5.36%
Step-by-step explanation:
The formula for the effective annual yield (EAR) when the interest is compounded daily is given by:
(1 + r/365)^365 - 1
where r is the annual interest rate.
In this case, the annual interest rate is 5.2% or 0.052. Substituting this value into the formula, we get:
(1 + 0.052/365)^365 - 1 = 0.0536
Multiplying this value by 100 gives the effective annual yield as a percentage:
0.0536 x 100 = 5.36%
Therefore, the effective annual yield of the account is 5.36%.
Anne is 26 years older than her daughter, and the sum of their ages is at least 48. Which of the following inequalities, when solved, will give the possible ages of Anne's daughter?
Answers
Answer:
A = 26 + D
A + D = 48
use substitution
(26 + D) + D = 48
26 + 2D = 48
2D = 22
D = 11 years old
find the inequality that will result in the daughter being 11
Answer:
at least means greater than or equal to
Step-by-step explanation:
therefore
Question 13 options:
2x + 26 ≥ 48 ----------->this is the correct answer
x + 26 > 48
x + 26 ≥ 48
2x + 26 > 48
HELPPPPPPP on this question.! I need to pass.
Answers
9514 1404 393
Answer:
12.25 (or -18.75)
Step-by-step explanation:
If you pay attention to the square of a binomial, ...
(x -a)² = x² -2ax +a²
You see that the constant (a²) is the square of half the x-coefficient. That is, the x-coefficient is -2a, half that is -a, and the square of that is (-a)² = a².
In your equation, the x-coefficient is -7, half that is -3.5, and the square of that is 3.5² = 12.25.
So, you can think of this ambiguous question in a couple of ways.
Concern is only with the x-terms:
x² -7x +31 = (x² -7x +12.25) +31 = 12.25 . . . . . . add 12.25 to both sides
(x -3.5)² +31 = 12.25 . . . . write the x-terms as a square
Concern with the equation overall:
You want the end result to have the x-terms in the form of the square ...
(x -3.5)² = x -7x +12.25
The left side of the equation can be put in that form by adding -18.75 to both sides;
x² -7x +31 -18.75 = -18.75 . . . . . . add -18.75 to both sides
x² -7x +12.25 = -18.75 . . . . . . . . . simplify
(x -3.5)² = -18.75 . . . . . . write the left side as a square
__
The short of it is that we're not sure what the question is asking for exactly. The "help video" would probably clarify the intent. Most likely, you're concerned with adding the square of half the x-coefficient, 12.25.