Complete question :
In March 2003, the Pew Research Group surveyed 1508 adult Americans and asked, "Do you believe the United States made the right or wrong decision to use military force in Iraq?" Of the 1508 adult Americans surveyed, 1086 stated the United States made the right decision. In August 2010, the Pew Research Group asked the same question of 1508 adult Americans and found that 618 believed the United States made the right decision. Construct and interpret a 90% confidence interval for the difference between the two population proportions
Answer:
(0.282 ; 0.338)
We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.
Step-by-step explanation:
Given :
p = x / n
p1 = 1086/1508 = 0.72
p2 = 618/1508 = 0.41
Confidence interval :
(p1 - p2) ± margin of error
Margin of Error = Zcrit*√p1(1-p1)/n1 + p2(1-p2)/n2
Zcrit at 90% = 1.645
1 - p1 = 1 - 0.72 = 0.28
1 - p2 = 1 - 0.41 = 0.59
MOE = 1.645*√(0.72*0.28)/1508 + (0.41*0.59)/1508
MOE = 1.645 * 0.0171492 = 0.0282105
(p1 - p2) = (0.72 - 0.41) = 0.31
Lower boundary = 0.31 - 0.0282 = 0.2818
Upper boundary = 0.31 + 0.0282 = 0.3382
(0.282 ; 0.338)
We are 90% confident that the proportion of adults in the U.S who believe that the United States made the right decision in 2003 lies between 0.282 and 0.338, higher than the proportion of adult Americans in 2010 who believe the same.
?
The diameter of a circle is two times its radius. Which equation shows
another way to represent the area of a circle?
πd2
A=
2
O πd2
A=
4
Ο Α = 2πd?
O A=47d2
Answer:
[tex]A=\pi \frac{d^2}{4}[/tex]
Step-by-step explanation:
The typical equation for the area of a circle is [tex]A=\pi r^2[/tex]. Since the answer choices are in terms of d, the diameter of the circle, you will need to find r in terms of d.
To find r in terms of d, you know that the diameter of a circle is two times its radius. As an equation, this is
[tex]d=2r[/tex], or solving for r,
[tex]r = \frac{d}{2}[/tex].
Now that you have an equation for r in terms of d, you can substitute r with [tex]\frac{d}{2}[/tex] from the original equation.
[tex]A=\pi r^2[/tex]
[tex]A=\pi (\frac{d}{2})^2[/tex]
[tex]A=\pi \frac{d^2}{4}[/tex]
solve for x
find AC
this is the last question I'm posting
Answer:
x = 15, AC = 25
Step-by-step explanation:
Given a tangent and a secant from a external point to a circle, then
The product of the external part and the whole of the secant is equal to the square of the tangent.
(9)
12(12 + x) = 18² = 324 ( divide both sides by 12 )
12 + x = 27 ( subtract 12 from both sides )
x = 15
(10)
9(9 + 3x + 1) = 15²
9(3x + 10) = 225 ( divide both sides by 9 )
3x + 10 = 25 ( subtract 10 from both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Then
AC = 3x + 10 = 3(5) + 10 = 15 + 10 = 25
2 diagonals of a regular nonagon (a 9-sided polygon) are chosen. What is the probability that their intersection lies inside the nonagon
The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.
In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.
To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.
So the probability of the intersection of the two diagonals lying inside the nonagon is:
P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3
Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
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The probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
What is the probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event.
In this problem, the event of interest is the intersection of the two diagonals lying inside the nonagon. A nonagon is a 9-sided polygon, so there are 9 total corners, each of which can be one end of a diagonal. Therefore, there are 9 choose 2 = 36 total ways to choose two diagonals.
To find the number of favorable outcomes, we need to find the number of ways to choose two diagonals such that their intersection is inside the nonagon. To do this, we can notice that the diagonals that have an intersection inside the nonagon are the diagonals that connect non-adjacent corners of the nonagon. There are 8 non-adjacent corners, so there are 8 choose 2 = 28 ways to choose two non-adjacent corners.
So the probability of the intersection of the two diagonals lying inside the nonagon is:
P(intersection inside nonagon) = favorable outcomes / total outcomes = 28/36 = 2/3
Hence, the probability of the intersection of the two diagonals chosen lying inside the nonagon is 2/3.
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PLEASE HELP!!
Which parent function is represented by the table?
A. f(x) = 2x
B. f(x) = 1x1
c. f(x) = x
D. f(x) = x2
Option C is correct, the parent function represented by the table is f(x) = x.
What is a function?A relation is a function if it has only One y-value for each x-value.
Looking at the table, we can see that when x is negative, the values of y are negative and increase as x approaches zero.
When x is positive, the values of y are positive and increase as x increases.
Moreover, the values of y increase faster than x.
This behavior is typical of the parent function f(x) = x.
Hence, the parent function represented by the table is f(x) = x.
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Is this table linear, exponential, or other type of a function?
someone please help asap. i will give you brainliest
Answer:
It is exponential
Step-by-step explanation:
10. The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds
The stated statement states that 139 of said animals Margie counted had two legs, mostly two-legged birds.
Why do you use the word "number"?An arithmetic value used to compute and portray a quantity would be a number. In writing, numerical symbols like "3" are used to represent numbers. A decoder is a logical approach the portray a number using digits or symbols.
Assume that there are x two-legged birds and y four-legged animals. Now, we can employ equation systems to find a solution to this issue.
Enter two equations here:
2x + 4y = 522
x + y = 200
Add two to the latter equation now.
2x + 4y = 522
2x + 2y = 400
We discover that; by deducting the following equations from the first equation.
2y = 122
y = 61
There were 139 two-legged birds due to the 200 heads, which indicated a total of 200 animals.
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The complete question is-
The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?
A). 61
B). 122
C). 139
D). 150
E). 161
I need help I dont quite understand how to do it and if I did it correctly. Will give huge credit to whoever can give me a full explanation.
There's a theorem for this scenario that says the average of the measures of arcs AC and BD is equal to the measure of the angle formed by the chords AB and CD. In particular,
90° = 1/2 (arc AC + arc BD)
90° = 1/2 (arc AC + 126°)
90° = 1/2 arc AC + 63°
1/2 arc AC = 27
arc AC = 54°
Base your answers to the following questions on the food web below and on your knowledge of biology. Which organisms are carnivores? A. grass and trees B. mouse, rabbit, and cricket C. deer and mountain lion D. frog, snake, and hawk
Answer:
D
Step-by-step explanation:
Petey’s Shirt Company can make 240 T-shirts in a day. After buying new machines, the company is able to make 456 T-shirts in a day. By what percent did the production increase?
A.9%
B.47%
C.53%
D.90%
Answer:
90%
Step-by-step explanation:
You convert 456/240 into a percentage and get 190%, then taking out the extra 100%
Answer:
Step-by-step explanation: The answer is 47% because if you divide 240 and 456 you get 98 and if you minus 98 by 51 you get 47.
For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Use the image below for Part A, Part B, and Part C.
Two triangles: GHI and JKL
Both have one similar angle but different side lengths
Part A: Sharon says the triangles above are similar using the AA Postulate. Is she correct?
Part B: Explain the answer from Part A.
Part C: If HI=7, find KL. Show your work.
Please Help!
The triangle given is similar to using SAS. Sharon is wrong and the value of KL is 14.
What are the triangle similarity criteria?there are three types of triangle similarity criteria known. those are
AA: Two pairs of corresponding angles are equal.SSS: Three pairs of corresponding sides are proportional.SAS.: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.Given, two Triangle ΔGHI and ΔKLJ. Also, we can see in the figure That ratio of there two known sides is equal and they both have a similar angle.
the ratio of two sides of given triangles
4/8 and 5/10
hence, the ratio of both the side is equal that is 1/2
from the SAS theorem:
Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.
thus, given triangles are similar.
Since the Ratio of all three sides would be equal.
hence, HI / KL = 1/2
the third side of the triangle JKL, KL is 14.
Therefore, The given triangle is comparable to using SAS. Sharon is mistaken; The value of KL is 14.
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write an equivalent expression for 3m + 9m
Answer:
3(m+3m)
Step-by-step explanation:
What should be added to the product of X and 2 to get x * 1 point?
To get x * 1 point, the product of X and 2 should have x added to it.
let us assume unknown value = y
2x+y=x
y=x-2x
y=-x
so if we add "-x" in the product of x and 2 we get x
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.
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If 120% of a number is 24, what is the number?
If 120% of a number is 24, then the number is 5.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We need to find the number whose 120% of a number is 24.
Let the number be considered as x
120% is converted to decimal by dividing 120 with 100
120/100=1.2
Now multiply 1.2 by x which is equal to 24
1.2x=24
Divide both sides by 1.2
x=0.05
Now multiply it with 100 as it is a hundredth part
0.05×100=5
Hence, If 120% of a number is 24, then the number is 5.
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solve: Tan20. Tan 40. Tan 80
plaease help me.....
Answer: you need more information to solve
Step-by-step explanation:
Image Attached, Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. Will give Brainliest
Answer:
169
Step-by-step explanation:
You should know that the middle number with the x is double the original number not in expanded form. You should also know that in the expanded form, the last number is the square of the original number. So square(26/2) = 169.
Answer:
r^2 + 26r = (r + 13)^2 - 169
Step-by-step explanation:
r^2 + 26r + (26/2)^2 - (26/2)^2, or
r^2 + 26r + 13^2 - 13^2, or
(r^2 + 26r + 169) - 169
So r^2 + 26r = (r + 13)^2 - 169
Note: the coefficient of r is 26. We take half of that, obtaining 13, and then square the result: 13.
Given that one standard deviation below the mean is 24 and one standard deviation above the mean is 31, what is the mean l?
A)55
B)34
C)27.5
D)28
Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.531-3.5 = 27.5since both calculated numbers were equal, we know that we calculated the mean correctly.
What is the greatest two-digit multiple of 13
Answer:
Step-by-step explanation:
91
As you can see 91 is the largest 2 digit multiple of 13 as the next multiple is 104 which is a 3 digit number.
Isabel is shopping for her new car. She identified six models she likes at a local dealership. The table lists
the down payment she would need to make on each car to keep the monthly payment within her budget.
Assume that she's using only the money accumulated in her savings account to make the down payment.
Use this information and the appropriate time value of money formula e to select all the cars that are
within Isabel's budget.
5
choice 1
choice 2
choice 3
down payment: $8,500 down payment: $6,200 down payment: $5,100
choice 4
choice 5
choice 6
down payment: $7,250 down payment: $7. 750 down payment: $7,500
The value of Isabel's account after three years can be calculated using the future value of the annuity formula.
Isabelle's budget car is:
Choice 2Choice 3Choice 4Reason:
Monthly savings, PMT = $200
Account compound interest, r = 1.7%
t = Account value after 3 years is displayed as increase.
We know that:
[tex]FV =PMT * \frac{[(1+i)^n -1]}{i}[/tex] --------------------- (1)
Where;
i = r/12
⇒ n = 12 × t
From the above equation(1), we get:
[tex]FV =200 * \frac{[(1+\frac{1.7}{2} )^{12*3} -1]}{\frac{1.7}{12} }[/tex]
≈ 7381.4
Therefore,
The budget cars she can buy, those that require a down payment of less than $7,381.4, which are:
The required down payment of choice 02 is $6200.
The required down payment of choice 03 is $5100.
The required down payment of choice 04 is $7250.
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Estimate 16.82-8.264 by first rounding each number to the nearest tenth.
pls help i need the right answer!
mZAOB = 6x- 12°
mZBOC = 3x+ 30°
Find mZAOB:
Answer:
6x+3x×12-30
9x×do 30-12
then multiple it and there is the ans
Steve ran a 12-mile race at an average speed of 8miles per hour. If Adam ran the same race at an average speed of 6 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
You have $5$ red shirts, $5$ green shirts, $6$ pairs of pants, $8$ green hats and $8$ red hats, all of which are distinct. How many outfits can you make consisting of one shirt, one pair of pants, and one hat without having the same color of shirts and hats
Total = 240+240 = 480 potential combinations with a red shirt, green pants, and a green hat, or a green shirt, red pants, and a red hat, respectively.
How many outfit combinations can be put together from 6 shirts?The total number of possible outcomes for all four of these scenarios is 208, which is equivalent to 64 + 64 plus 16 plus 64. Consequently, we have a total of 120 different costumes to choose from (8 + 5 + 3). 8 × 5 × 3 = 120 . Given that you have 4 options for shirts, 3 options for shorts, and 2 options for shoes, the formula should be formatted as 4 × 3 ×2. You now have 24 wardrobe choices.
A "set" is made up of one top and one bottom. Since every bottom can be worn with every top, multiplying the tops by the bottoms gives us the total number of possible outfit combinations. Since dresses often aren't worn with tops or bottoms, they are introduced after the multiplication has occurred.
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Shade the points in the plane whose x-coordinates are greater than their y-coordinates. Write the inequality that describes these points.
The inequality that describes these points is y ≤ -1/2(x) -3. The graph is given the attachment.
How to graph an inequality?To graph a linear inequality in two variables (say, x and y), start with y on one side. Consider the related equation obtained by changing the inequality sign to an equality sign. This equation's graph is a straight line.
If the inequality is strict (< or >), draw a dashed line. If the inequality is not strict (≤ or ≥), draw a solid line.
Finally, choose one point that is not on either line ((0,0) is usually the easiest) and determine whether these coordinates satisfy the inequality or not. If they do, shade the half-plane containing that point. If they don't, shade the other half-plane.
Graph each of the system's inequalities in a similar way.
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Express each number as a product of two numbers 1/5
The fraction expression as a product expression is 1/2 * 2/5
How to express the mathematical expression as a product expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical expression
The mathematical expression is given as
1/5
In this case, the expression is a fraction
Using the above as a guide, we have the following:
Fraction = 1/5
Multiply the fraction by 1
So, we have the following representation
Fraction = 1/5 * 1
Express 1 as 2/2
This gives
Fraction = 1/5 * 2/2
Swap the factors of the expression
This gives
Fraction = 1/2 * 2/5
Hence, the product expression is 1/2 * 2/5
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You have a 5 inch by 7 inch picture that you framed. When you hung the picture, you found that the entire area is 69.56 inches squared. What is the width of the frame?
The width of the frame is 2.4 inches
How to determine the width of the frame?
Let w represent the width of the frame
Then the area of the frame is:
(w + 5)(w + 7) = 69.56
Rewrite it in Standard form of a quadratic equation:
w² + 12w + 35 = 69.56
w² + 12w - 34.56 = 0
Use Quadratic Formula to solve for w:
w = (-b±√(b²-4ac))/(2a)
w = (-12±√(12²-4×1×(- 34.56)))/(2×1)
w = (-12±√(144+138.24))/(2)
w = (-12±16.8)/2
w = -6 ± 8.4
w = -6 + 8.4 or -6-8.4
w = 2.4 or w = -14.4
Since the width cannot be negative.
Thus, w = 2.4 inches
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hey! please help i’ll give brainliest
Answer:
all of these option 4 is correct
Answer:
The answer is the ( are )
Step-by-step explanation:
Find the number of choices that are possible if you choose one of 3 kinds of fruit and one of 3 kinds of vegetables.
9 choices
7 choices
13 choices
6 choices
Answer:
I think that the answer is 9 choices.
Step-by-step explanation:
I am not sure but I hope that this helps you. Please mark me brainliest if I am right. Please forgive me if I am wrong! ):
what is the common difference for this arithmetic sequence? -6, -2, 2, 6, 10, …
Answer:
The common difference is 4.
Step-by-step explanation:
. Marissa is painting one of her bedroom walls. She marks off of the wall. Then she divides the marked section into 3 equal parts and paints one part blue. What fraction of the whole wall is blue?
Answer: Marissa divided the marked section of the wall into 3 equal parts. If she painted one of these parts blue, then the part that she painted blue is 1 out of the 3 equal parts. So, the fraction of the wall that is blue is 1/3.
Another way of understanding this is that if the wall is divided into 3 equal parts and Marissa painted 1 part, then the fraction of the wall that is painted is 1/3.
So the fraction of the whole wall that is blue is 1/3.
Step-by-step explanation:
The difference between the two groups compared will have more significance as the p-value becomes __________. The difference between the two groups compared will have more significance as the t-value becomes __________.
The significance of the difference between the two groups under comparison will increase as the p-value decreases. The significance of the difference between the two groups under comparison will increase as the t-value rises.
If there is a significant difference between two groups, what does that mean?A difference that is "statistically significant" does not necessarily have to be "large, important, or significant in terms of the utility of the finding"; it simply means that there is statistical evidence that there is a difference.
When the p-value exceeds the significance level, what does that mean?In general, when the null hypothesis H0 is true, our sample results could have happened by random chance alone when the p-value is "high" (i.e. greater than or equal to the significance level).
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