Using the z-distribution, it is found that the 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
269 out of 1033 respondents said they were likely to only be in church, hence:
[tex]n = 1033, \pi = \frac{269}{1033} = 0.2604[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 - 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2336[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 + 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2872[/tex]
As a percentage:
0.2336 x 100% = 23.36%
0.2872 x 100% = 28.72%
The 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).
A similar problem is given at https://brainly.com/question/25743435
The product of two positive odd consecutive integers is 1599. What is the larger integer?
Answer:
800
Step-by-step explanation:
800+799=1599
Please show how you solved the problem.
4a - 14 = 7a - 8
4a - 14 = 7a - 8
4a - 7a = 14 -8
-3a = 6
a = 2
ok done. Thank to me :>
Answer:
a= -2
Step-by-step explanation:
4a -14 = 7a -8
Subtract 7a from both sides
-3a -14= -8
Add 14 to both sides of equation
-3a = -8 +14
Add -8 and 14
-3a = 6
Divide each term by -3
a = -2
Help me ASAP now like really fast
Answer: I think the answer is C.. It looks like an 180 angle from my perspective.
I hope that is correct
Answer:
C
Step-by-step explanation:
Well, we know all the angles must sum up to 180º. From this, we can write the equation ' 3xº + 80º + 2xº = 180º ', which is answer choice C
Which expressions are equivalent to (13x+x−53x)−(−43x+2) ?
Answer:
4x+2
Step-by-step explanation:
(13x+x−53x)−(−43x+2)
Group all the same variables on each side.
(-39x)-(-43x+2)
-39x+43x+2
4x+2
Hope this helps :)
Answer: x-2 & -2-x+2x
Step-by-step explanation:
Estimate the difference of $19 320 and $9 876?
Answer:
$9444 Is the difference
Step-by-step explanation:
$19,320 - $9876 = 9444$
(Hope this helps can I pls have brainlist (crown)☺️)
Bart learned that the first stage of a type of rocket had a burn time that was 28.5 seconds longer than the burn time during the second stage. The total burn time for both stages was 150.3 seconds. What was they burn time for the first stage?
Answer:
60.9
Step-by-step explanation:
im prob not crct
Kathy is following a recipe for punch that calls for 3 liters
of juice. She has 3 quarts of juice. Without using an equation, does Kathy
have enough juice for the punch? Explain.
Answer:
Yes, Kathy does have enough juice.
Step-by-step explanation:
Kathy does have enough because quarts are a little bigger than liters, so the 3 quarts she has will cover the liters.
Write an equation of the line that passes through (−2,3) and (0,8).
An equation is y=
.
Answer:
Step-by-step explanation:
y = mx + b
b is the y intercept and occurs where x = 0. One of our select points has an x value of 0, therefore b = 8
m is the slope and is found as the change in y over the change in x
m = Δy/Δx = (8 - 3) / (0 - (-2)) = 5/2
y = 5x/2 + 8
-5y+8=-7
y = 3
check your answer
Skip count by 100 starting with 95.
95, ____, ____, ____, ____
Answer:
195, 295, 395, 495?
Step-by-step explanation:
28. Marta Sanchez purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For all
purchases she must pay the state sales tax of 7.5% and the county tax of 0.5%. What is the tax on her
purchases?
Answer:
$ 1.94
Hope I helped
P(E') = P(F) = 0.6 and P(E n F) = 0.24:
a. Write down P(E).
b. Explain how you know E and F:
i are independent
ii are not mutually exclusive
c Find P(E u F').
Answer:
(4- x)(x - 4) = 16 - x2 help me sir please
Two trains travelling along parallel tracks in the same direction do 50 km/h and 100 km/h on average. The faster train starts 2 hours later than the slower. After how many kilometres will the faster train catch up?
Answer:
200 kmStep-by-step explanation:
Let the faster train catches the slower one after x hours.
The distance the trains travel is same:
50(x + 2) = 100x50x + 100 = 100x50x = 100x = 2The distance is:
50*(2 + 2) = 100*2 = 200 kmA right triangle is shown in the graph. Part A: Use the Pythagorean Theorem to derive the standard equation of the circle with center at (r, s) and a point on the circle at (x, y). Show all necessary math work. (3 points) Part B: If (r, s) = (7, –4) and t = 10, determine the domain and range of the circle. (4 points) Part C: Is the point (9, 1) inside the border of the circle if (r, s) = (7, –4) and t = 10? Explain using mathematical evidence. (3 points)
Answer:
Part A, write out the equation by subtracting the vertex from x and y, then set it equal to the radius square. All of this information is given in the picture. Then the domain is all the x's and the range is all the y's starting at the center and going out 10 in each direction since 10 is the radius.
Step-by-step explanation:
Use the circle formula that you learned in lesson 3.02 using the given points. Remember this quiz was open note and your formula should be in your notes. Also, it should be familiar to you from Geometry and middle school math where you first learned about circles:)
Drag the descriptions of each investment in order from which will earn the least simple interest to which will earn the most simple interest.
Answer:
Hello! I know I am a bit late but for those who come here in the future,
This is the order (Least to Greatest)
1) 1,500 at 8% simple interest for 6 years
2) 1,500 at 6% simple interest for 10 years
3) 1,500 at 8% simple interest for 10 years
Hope this helps!
In situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.
What is simple interest?It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.
It is given for the three cases as,
P =$1500, R=8% , T = 10 years
P =$1500, R=8% , T = 6 years
P =$1500, R=6% , T = 10 years
The formula for the simple interest is,
Case 1,
SI = (P×R×T) / 100
SI = (1500×8×10)/100
SI = $ 1200
Case 2,
SI = (P×R×T) / 100
SI = (1500×6×10)/100
SI = $ 900
Case 3,
SI = (P×R×T) / 100
SI = (1500×8×6)/100
SI = $ 720
The simple interest for cases 1, 2, and 3 will be $ 1200, $ 900, and $ 720.
Thus, in situation 3, a person will earn the least simple interest in situation 1, a person will earn the most simple interest.
Learn more about the simple interest here:
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3x + 3y = 9
-3x + 2y = 1
Answer:
X=1
Y=2
Step-by-step explanation:
put 1 in for X
3(1)+3(y)=9
-3(1)+2(y)=1
now put 2 for Y
3(2)+3(2)=9
-3(1)+2(2)=1
3•1= 3
3•2=6
3+6=9
-3•1=-3
2•2=4
-3+4=1
"HKA
Erloka borrowed money from her brother to buy a new phone, and is paying off a fixed amount
each week
Answer:
$76
Step-by-step explanation:
When a system of two linear inequalities in two variables has
boundary lines that are parallel, then this is NOT possible:
A) the entire plane is a solution
B) there is a single point of solution
C) there is a region with an infinite number of points of solution
D) no solution
Answer:
B) there is a single point of solution
Step-by-step explanation:
If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.
epic gamer question, i'll mark brainlist
Answer:
It has to be an isosceles because it has 2 congruent sides (and angles) in the same relative position. The two congruent angles both measure 30 degrees each; the total of degrees in any triangle is always 180. So, the other side has an angle measure of 120 degrees, which is more than 90. Therefore, it is
an obtuse isosceles
BRINLEST WIL BE GIVIN
Answer:
[tex]\huge\boxed{-0.001a^{n+1}}[/tex]
Step-by-step explanation:
[tex]-0.001a^{3n+3}=-0.001a^{3(n+1)}=(-0.001a^{n+1})^3\\\\\text{Used}\\\\a(b+c)=ab+ac\qquad\text{distributive property}\\\\(a^n)^m=a^{n\cdot m}[/tex]
a boy rides the motorbike with velocity of 20 m/s. He accelerates his motorbike to a velocity of 30 m/s in 5 seconds. Calculate the acceleration produced in the motor bike
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Answer:
2m/s2
Step-by-step explanation:
acceleration = (final velocity - initial velocity) / time
a = (30-20) / 5
a = 10 / 5
a = 2m/s2
When the input of the function is -1, What is the output of the function?
Answer:
2
Step-by-step explanation:
The graph clearly shows that when x = -1, y = 2.
Thus, the output of this function is 2.
6+7+8+...+(n+5) find the sum.
Answer:
n + 26
Step-by-step explanation:
first you have to simplify
6 + 7 +8 + n + 5
then combine the like terms
6 + 7 + 8 + n + 5
(n) + ( 6 + 7 + 8 + 5)
= n + 26
hope this helps
Use the following function rule to find f(3) f(x)=3(4)^x+2
Answer:
3f×16=36
Step-by-step explanation:
f(x)=2x×fx
(substitute
=3f×16
=36f
ANSWER USING STEPS: find the inverse function of y=-5x-7
the inverse of y is =x+7
Step-by-step explanation:
y=5x-7
then solve for x
5x=y+7
x=(y+7)/5
then exchange x with y
y=(x+7)/5
The inverse of the given function is expressed as:
-(x + 7)/5
How to find the inverse of the function?The given function is expressed as:
y = -5x - 7
Replacing y with x and vice versa gives us:
x = -5y - 7
Add 7 to both sides gives:
x + 7 = -5y
divide both sides by -5 gives us:
-(x + 7)/5 = y
Thus, we conclude that the inverse of the given function is expressed as:
-(x + 7)/5
Read more about Inverse of Function at: https://brainly.com/question/3831584
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A line has a slope of 5 and passes through the point (1,5). What is its equation in
slope-intercept form?
Answer:
[tex]y=5x[/tex]
Step-by-step explanation:
Insert the information into the point-slope formula to find slope-intercept form.
[tex]y-y_1=m(x-x_1)\\\\y-5=5(x-1)\\\\y-5=5x-5\\\\y=5x[/tex]
Given:
∠1 and ∠2 are supplementary angles
Prove:
l || m
Hello
just a second
people reading this please complete because you will help me a lot.
I am an Indian girl my name is Lamer and am 13 years old.
I Just got this new device after working at a farm for 2 years.
I used to use brainly at my friend device she had money to buy brainly plus.
I cant please help me get points so I can get good marks and my dad let me complete my education instead of getting married.
4 4/6 + 3 7/8 = ? ........................................
Answer:
[tex]8\frac{13}{24\\}[/tex]
Step-by-step explanation:
[tex]4\frac{4}{6}+3\frac{7}{8}[/tex]
[tex]\frac{28}{6}+\frac{31}{8}=\frac{205}{24}=8\frac{13}{24}[/tex]
What is the degree of each polynomial?
(x^2 - y)^2 Degree _______
8x^4-5x^7+4c^5 Degree ______
x^2y^3/3+2x^3+8x^3 Degree ______
x^4 +2x^3-6x^4-17 Degree ______
-x^2+7x-4x Degree _____
x^7+y^8+x^7-y^8 Degree_____
Answer:
A- 4
B- 5
C- 8
D- 4
E- 2
F- 7
I'm 99% sure these are right!! I hope this helps :(
Translate the English phrase into an algebraic expression: the sum of the quotient of 3 and 2m, and the product of 8 and
m.
Enter all quotients as fractions,
Answer:
[tex]\frac{3}{2m}[/tex]+8m
Answer:
the sum of quotient of 3 and 2m and the product of 8 and m is
(3/2m +8m)