With 99% certainty, the population proportion of adults who say they have started paying bills online in the last year is between the given confidence interval's endpoints.
What is confidence interval?We have the following confidence interval of proportions in a sample of n people surveyed with a success probability of π and a confidence level of 1 - α.
Confidence interval = [tex]\pi[/tex] ± z [tex]\sqrt{\(\pi (1 - \pi ))/n}[/tex]
z = 1 - α/2
Here given, According to a survey of 3102adults, 1443 have begun paying bills online in the last year.
That is, n = 3102 and x = 1443
p = x / n
= 1443 / 3102
= 0.465
significance level = α
= 1 - confidence
= 1 - 0.99
= 0.01
zα/2 = z0.01 / 2 = 2.58
By substituting in confidence interval formula,
The lower limit is :
0.465 - 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]
= -0.01894056008
The upper limit is:
0.465 + 2.58[tex]\sqrt{(0.465 * 0.535) / 3102}[/tex]
= 0.02722425658
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The lower limit is 0.456 and upper limit is 0.474
What is confidence interval?
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.
As confidence interval (C) = π ± z√[π(1-π)/n]
In the above expression, z = 1 - α/2, where α is the significance level.
Given in the question, n=3102 as the survey was conducted on 3102 adults. Also, x=1443, as 1443 people have started paying bills online in last year.
π = x/n
Substituting the values, we get,
π = 1443/3102
⇒ π = 0.465
Confidence level(α) = 1 - confidence
= 1 - 0.99
= 0.01
Since, z = 1 - α/2
⇒ z = 1 - 0.01/2
⇒ z = 1 - 0.005
⇒ z = 0.995
By substituting in confidence interval formula,
The lower limit is = 0.465 - 0.995√[(0.465*0.535)/3102]
= 0.456
The upper limit is = 0.465 + 0.995√[(0.465*0.535)/3102]
= 0.474
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Which one is not criteria of congruence * ASA SAS AAS SSA?
Answer:
Step-by-step explanation:
well this makes no sese is there any pics
Eh I don't know ???
Picture should be shown...
wb and za are two competing grocery stores in a particular region. the probability that a customer who shops this week at wb will shop again at wb next week is 64% whereas the probability that a za customer will shop next week at za is 76%. what is the probability that a customer who shops at za in week 0 will shop at za in week 2?
The probability that a customer shops at za in week 0 will shop at za in week 2 = 57.76%
In this question, we have been given wb and za are two competing grocery stores in a particular region. the probability that a customer who shops this week at wb will shop again at wb next week is 64% whereas the probability that a za customer will shop next week at za is 76%.
We need to find the probability that a customer who shops at za in week 0 will shop at za in week 2.
Let in week 0, 100 customers shop at za.
The probability that a za customer will shop next week at za is 76%.
This means, in week 1, 76 customers shop at za.
And in week 2, 76% of 76 customers will shop at za.
76 percent of 76 = 57.76
Therefore, the required probability is 57.76%
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How do you evaluate the definite integral ∫2^x dx from [−1,1]?
The solution for definite integral ∫2^x dx from [−1,1] is
3/ 2 ln2
Definite Integral:
A definite integral is defined as the exact limit and summation examined in the previous section to find the net area between the function and the x axis. Also note that the definite integral notation is very similar to the indefinite integral notation. The reason for this will become clear in due course.
There are a few terms that should be left out along the way. The number "a" below the integral sign is called the lower integral limit, and the number "b" above the integral sign is called the upper integral limit. Even if the intervals a and b are specified, the lower bound is not necessarily less than the upper bound. Collectively, a and b are often referred to as the interval of integration.
Given a function :
f(x) that is continuous function on the interval [a , b]
we divide the interval into n subintervals of equal breadth, Δx, and from each interval choose a point, x i. Then the definite integral of f(x) from a to b is
[tex]\int\limits^b_a f(x) \, dx = \lim_{n \to \infty} f(xi)[/tex] Δx.
According to the question:
let's start by differentiating 2ˣ.
y = 2ˣ
⇒ ln y = x ln 2
⇒ 1/y dy/dx = ln2
⇒ d /dx = y ln 2 = 2ˣ ln2
So remembering integration is the reverse of differentiating.
y = 2ˣ
⇒ dy/dx = 2ˣ ln 2
⇒ ∫2ˣ dx = 2ˣ / ln 2 + C
2ˣ > 0, ∀ x ∈ R, there is no negative area so we can
Insert the limits and evaluate immediately.
= 1/ ln2 [2x][tex]\left \{ {{y= -1} \atop {x=1}} \right.[/tex]
= 1/ln 2 (2¹ - 2⁻¹)
= 3/ 2ln 2
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Trigonometric Substitution Suppose √x=siny. (a) Use the substitution x=sin2 y,dx=2 sin y cos ydy to show ∫1/2 0 √xdx/√1−x = ∫π/4 0 2 sin2 ydy (b) Use the identity given in Exercise 49 to evaluate the definite integral without a calculator.
The value of the definite integral is [tex]\frac{\pi }{4} - \frac{1}{2}[/tex]
Using microscopic slivers or stripes of the region, a definite integral is a formal estimate of the area beneath a function. Integrals can reflect a region's (signed) area, the total value of a function that changes over time, or the amount of a given thing given its density.
Definite Integral helps to find the area of a curve in a graph. It has limits, which are the start and the endpoints, within which the area under a curve is calculated. The limit points can be taken as [a, b], to find the area of the curve f(x), with respect to the x-axis.
Given,
[tex]\int\limits^\frac{1}{2} _0 {\frac{\sqrt{x} }{\sqrt{1-x} } } \, dx = \int\limits^\frac{\pi }{4} _0 {2sin^{2}y } \, dy[/tex]
[tex]\int\limits^\frac{1}{2} _0 {\frac{\sqrt{x} }{\sqrt{1-x} } } \, dx = \frac{\pi }{4} - \frac{1}{2}[/tex]
[tex]\int\limits^\frac{\pi }{4} _0 {2sin^{2}y } \, dy = \frac{\pi }{4} -\frac{1}{2}[/tex]
∴[tex]\frac{\pi }{4} - \frac{1}{2}[/tex] = [tex](\frac{\pi }{4} - \frac{1}{2})[/tex]
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-4/5x=12
Pls HURRRRRRYYYYYYYYYYY
Answer:
The answer is -15
how many eight-digit numbers contain the digit 2 exactly once, the digit 3 exactly twice, and the digit 4 exactly thrice?
There are 1260 eight-digit numbers that have 2 once, 3 twice, and 4 thrice.
There are 10 digits in the number system from 0 to 9.
Let the 8-digit number be represented by
_ _ _ _ _ _ _ _
Here the numbers will have a single 2, a doublet of 3, and a triplet of 4 hence we get
2 3 3 4 4 4 _ _
Now for the last 2 numbers, we have 0, 1, 5, 6, 7, 8, 9. Therefore the last 2 digits can be chosen in ⁷C₂ ways.
= 7!/(2 X 5!)
= 21 ways
There are 6 fixed numbers which can e arranged in 6! ways. Since there are numbers repeated twice and thrice, we can arrange them in
6!/(2! X 3!)
= 6 X 5 X 2
= 60 ways.
Therefore we get
60 X 21 numbers
= 1260 numbers.
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What’s your least fav food first one gets more points
My least favorite food would defiently be soup.
Answer:
Step-by-step explanation:
Brussels sprouts
Coordinate point A located at (9,4) was translated up 3 units and right 6 units, it is then dillated by a scale factor of 2 and reflected across the x axis.Coordinate point A located at (9,4) was translated up 3 units and right 6 units, it is then dilated by a scale factor of 2 and reflected across the x axis.
The image after the sequence of transformations is (30, -14)
What is the image of the point after the sequence of transformations?
We start with the point (9, 4), first we need to translate it up 3 units, then right 6 units, dilate it by a scale factor of 2, and finally reflect it across the x-axis.
Let's write all these transformations in a general way and then let's apply them.
For a general point (x, y)
A vertical translation up of 3 units gives: (x, y + 3)
A horizontal translation of 6 units to the right gives: (x + 6, y)
A dilation of scale factor 2 gives: (2x, 2y)
A reflection across the x-axis gives: (x, -y)
Then if we apply all that to our point (9, 4) we will get:
A vertical translation up of 3 units gives: (9, 4 + 3) = (9, 7)
A horizontal translation of 6 units to the right gives: (9 + 6, 7) = (15, 7)
A dilation of scale factor 2 gives: (2*15, 2*7) = (30, 14)
A reflection across the x-axis gives: (30, -14)
That is the image after the sequence of transformations.
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Which of the following is linear equation in two variables?
1. x/3 + 5/y = 6
2. 2x^2 - 3y = 8 - 3y
3. x + 2y = 5 - 3y
4. 3x^2 + y = 0
SHOW WORK FOR BRAINLIST DUE TODAY
The true or false values of the statements are:
The book is $18 : TrueGiselle can earn up to $18 pulling weeds for her grandmaGiselle's grandma pays her $1 for every 5 weeds she pullsGiselle does not have to use any of her own money toward the purchase of the book when she pulls 90 weedsGiselle only needs to pull 18 weeds to not use any of her own money: FalseHow to determine the true statements from the scenario?From the question, we have the graph which represents the given parameters that can be used in our computation
Analysing the graph, we have:
The graph crosses the y-axis at y = 18
This means that the y-intercept of the graph is
y-intercept = 18
This in other word mean that:
The cost of the book is $18
So, (a) is true
Also, the graph crosses the x-axis at x = 90
This means that the x-intercept of the graph is
x-intercept = 90
This in other word mean that:
Giselle gets $18 if she pulls all the weed (i.e. 90 weeds) in the garden
So, (b) and (d) are true
The amount paid by her grandma is calculated as
Amount = 18/90
Amount = 1/5
So, (c) is true
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Find domain and range please! Die tmrw!
Answer: Domain: All real numbers. Range: (0,-∞)
Step-by-step explanation:
Assuming the arrows denote that this behavior continues for the rest of the function we can say what the domain and range are. Domain is the x-values where this function exists. There are no holes or asymptotes visible so it would appear it exists at all x-values and therefore all real numbers. For the range we can see the line does not go into the positive y-values at all. That means the range is all negative values and no positives, or (0,-∞).
which equation shows that you can find the power of a power by finding the product of the exponents? clear check (ya)b=ya⋅b (ya)b=ya b (ya)b=ya b (ya)b=ya ⋅ b
The equation which shows the correct way to find the product out of the exponents is (A) (y∧a)∧b=y∧a⋅b.
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent.
Exponent, then, is the number of times a number has been multiplied by itself.
For instance, the number 6 is multiplied by itself four times, yielding 6 * 6 * 6 * 6.
We can write this as 64. Here, 4 is the exponent, and 6 is the base.
So, multiply the exponents to find the product as follows:
(W^c)^d = W^c•d (RULE)
So, we will have:
(y∧a)∧b=y∧a⋅b
Therefore, the equation which shows the correct way to find the product out of the exponents is (A) (y∧a)∧b=y∧a⋅b.
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Correct question:
Which equation shows that you can find the power of power by finding the product of the exponents?
clear check
a. (y∧a)∧b=y∧a⋅b
b. (ya)∧b=ya∧b
c. (y∧a)b=ya∧b
d. (y∧a)∧b=ya ⋅ b
2(4x+3)+4=3x-(2x+4)?
The solution of the equation is -2.
What is the solution of an equation?
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
What is distributive property?
The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
Given equation is 2(4x+3)+4=3x-(2x+4).
Apply distributive property in 2(4x+3):
8x + 6 + 4 = 3x - (2x+4)
8x + 10 = 3x - (2x+4)
Open parenthesis on the right side:
8x + 10 = 3x - 2x - 4
Combine like terms:
8x - 3x + 2x = -4 -10
7x = -14
Divide both sides by 7:
x = -14/7
x = -2
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(whoever gives me the correct answer I will mark brainiest!!)
How many times smaller is 1.2 × 10^6 than 1.26 × 10^7?
10.5
9.5
1.05
0.06
Answer:
10.5
Step-by-step explanation:
These numbers are off by a little more than one power of ten:
[tex]1.2\times 10^6 \rightarrow 1.26 \times 10^7[/tex]
[tex]10^7 \div 10^6 = 10[/tex] ← one power of ten
[tex]1.26 \div 1.2 = 1.05[/tex] ← a little more
To find the exact scale factor between the numbers, simply multiply the values we just solved for:
[tex]10 \times 1.05 = 10.5[/tex]
So, [tex]1.2 \times 10^6[/tex] is 10.5 times smaller than [tex]1.26 \times 10^7[/tex].
Answer: 10.5
Step-by-step explanation:
Which equation has only x=3 and x = -3
Answer:
/x/=3 then x value has 3 and -3
Answer:
The required equation has only two solution x = 3 and x = -3 is x2 -9
Step-by-step explanation:
Jonathan Martinez has $85 deducted from his monthly pay for his group health insurance. His employer
pays 60% of the cost. What is the annual premium amount for Jonathan's group health insurance?
Answer: $1632 is his total annual premium for health insurance
Step-by-step explanation:
85*.60=$51
His employer pays $51 per month
you would multiply 51 by 12 to get the employers amount and them multiply 85 by twelve then you would add the two to get the total which should be his annual premium amount
$51*12 months=612
$85*12=1020
1020+612=1632
Which of the following is/are not a quadratic equation?
A. x^2–8x+5=0
B. 3x^2–4=0
C. 2x=x^2
D. x+5=3
(C) 2x=x^2 is not a quadratic equation and the rest of the equation is a quadratic equation.
What is a quadratic equation?Any algebraic statement that can be represented in a standard form, where x stands for an unknown number, a, b, and c stand for known values, and where a 0 is true, is said to be a quadratic equation.
Factoring, using square roots, completing the square, and using the quadratic formula are the four approaches of solve a quadratic problem.
A quadratic equation's form is: ax²+bx+c=0
(A) x^2–8x+5=0
In the form ax2+bx+c=0.
(B) 3x^2–4=0
In the form ax2+bx+c=0.
(C) 2x=x^2
Not in ax2+bx+c=0 form.
(D) x+5=3
In the form ax2+bx+c=0.
Therefore, (C) 2x=x^2 is not a quadratic equation and the rest of the equation is a quadratic equation.
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The perimeter of a rectangular window is 248 cm. If the length of the window is 72 cm, what is its width? Width of the window:
Answer:
3.444 repeating on
Step-by-step explanation:
How do you solve 16/48 = n/36?
Answer:
n = 12
Step-by-step explanation:
16/48 = n/36
cross multiply
16 × 36 = 48n
576 = 48n
n = 576/48
n = 12
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there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random, what is the probability they have an average weight of greater than 10 pounds and less than 15 pounds?
The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134
In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.
We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.
Given, μ = 12, σ = 8, n = 4
P(X > 8)
= P(z > (8 - 12 / 8/√4))
= P(z > -1)
= 1 - P(z ≤ -1)
= 1 - [1 - P(z ≤ 1)]
= P(z ≤ 1)
= 0.84134
Therefore, the required probability is 0.84134
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Two parallel lines are cut by a transversal as shown below.
Suppose m /6=78°. Find m Z1 and m / 3.
The indicated angles in the parallel lines cut by the transversal are as follows:
m ∠1 = 102°m ∠ 3 = 102°How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, linear angles, vertically opposite angles, alternate exterior angles etc.
Therefore, according to the diagram the two parallel lines are cut by a transversal. Let's use the angle relationships to find the m ∠1 and m∠3.
m ∠6 = 78 degrees.
m ∠1 = m ∠ 7 (alternate exterior angles)
Alternate exterior angles are congruent.
Hence,
m ∠7 = 180 - 78 = 102 degrees
m ∠ 1 = 102 degrees
m ∠ 1 = m ∠ 3 (vertically opposite angles)
vertically opposite angles are congruent.
m ∠ 3 = 102 degrees.
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if triangle pqrs is similar to triangle wxyz find the value of x?
Answer:
x=60
Step-by-step explanation:
these shapes seem to be flipped
side WZ seems to be similar to PS
and Side ZY seems to be similar to RS
ewe can make ratios on the side lengths
40/75=32/x
cross multiply
40x=75(32)
40x=2400
/40. /40
x= 60
hopes this helps please mark brainliest
a cylinder is inscribed in a right circular cone of height 5.5 feet and radius (at the base) equal to 3.5 feet. what are the dimensions of such a cylinder which has maximum volume?
Answer:
Step-by-step explanation:
If r and h radius and of inscribed cylinder then from similyarity of triangles(2- h)/2 = 2r/15, from here h = 2 - 4r/15.
Volume V = πr2h = πr2(2 - 4r/15)= π(2r2 - 4r3/15). Let find derivative and set it to 0:
V' = π(4r - 12r2/15) = 0; we get equation 4r - 4r2/5 = 0, r = 0 and r = 5.
To check if we get maximum we find V'' = π(4 - 8r/5) and at r = 5 V'' = π(4 -8) = -4π < 0 max
Answer: demantions of inscribed cylinder r = 5 and h = 2 - 4·5/15 = 2 - 4/3 = 2/3
if you could walk a mile in 30 minutes, how long would it take you to walk the length of this island?
if the island is 10 miles long, it would take you 5 hours to walk the length of the island (10 miles/30 minutes = 5 hours).This depends on the length of the island.
First, you would need to know the length of the island. You can look up the exact distance of the island online. After you have the length, divide that number by the amount of time it takes you to walk a mile (30 minutes). That will give you the amount of time it takes to walk the length of the island.
To figure out how long it would take you to walk the length of this island, you need to know the exact length of the island first. You can look up its length online, or you can measure it on a map. Once you have the length, divide that number by the amount of time it takes you to walk a mile (30 minutes). That will give you the total amount of time it takes to walk the length of the island. For example, if the island is 10 miles long, it would take you 5 hours to walk the length of the island (10 miles/30 minutes = 5 hours).
If the island is 10 miles long, it would take you 5 hours to walk the length of the island (10 miles/30 minutes = 5 hours).
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two less than the product of a number and three
Evaluate when f = 4.5.
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries two, less than, product, a number, three. Column 2 is labeled Replace with entries 2, minus, times, f, 3.
Write and evaluate the expression shown on the left. Then, check all that apply.
Write the expression as 2 – 3f.
Write the expression as 3f – 2.
Write the expression as 2f – 3.
The value when f = 4.5 is 6.75.
The value when f = 4.5 is 6.
The value when f = 4.5 is 11.5.
The expression as 3f – 2.
The value when f = 4.5 is 11.5.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario
Two less than the product of a number and three will be:
(3 × f) - 2
= 3f - 2
When f = 4.5
(3 × 4.5) - 2
= 11.5
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Combine the like terms to create an equivalent expression:
−3n−7+(−6n)+1
Answer:
-9n - 6
Step-by-step explanation:
1. combine the n's
-3n - 6n = -9n
2. combine the constants
-7 + 1 = -6
PLEASE HELP!
The number of miles y varies directly with the number of hours x as shown in the graph. write a direct variation equation to represent this relationship. then identify the constant of variation and interpret it's meaning.
Answer:rise over rub
Step-by-step explanation:
Write a story problem using sea level that includes both integers -110 and 120.
Answer:
You are 110 feet under the sea and then you rise 120 feet. How many feet are you now above the sea lever? 10.
Step-by-step explanation:
the 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable? if yes, select true. if no, select fals
The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.
It is TRUE statement.
Now, According to the question:
Let's know:
What is meant by 95% confidence interval?
Strictly speaking a 95% confidence interval means that if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value (μ).
OR
A confidence interval, in statistics, refers to the probability that a population parameter will fall between a set of values for a certain proportion of times. Analysts often use confidence intervals than contain either 95% or 99% of expected observations.
Hence, The 95% two-sided confidence interval for the mean is (-0.1,0.2). one of your friends claims that the mean could be 0. is your friend's claim reasonable.
It is TRUE statement.
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Determine whether the geometric series is convergent or divergent. 10 ? 4 + 1.6 - 0.64 + ... convergent divergen
The series in question converges.
Convergent divergent series: what are they?If a series converges to a value as its terms approach to infinity, it is said to be convergent. If a series does not converge to a value but instead keeps on rising or dropping as the terms of the series go to infinity, it is said to be divergent.
The geometric sequence is as follows:
10 - 4 + 1.6 - 0.64 +...
If the common ratio of the series is between -1 and 1, then a geometric progression will be convergent.
The common ratio in this case is
r = -4/10
r = -0.4, or -1 -0.4 1.
The presented series is hence convergent.
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