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
solve for X
..................................................................................
Answer:
C. 9
Step-by-step explanation:
The measure of a triangle is 180.
Make all the angles equal 180.
50+80+6x-4=180.
Solve.
6x=54
x=9
Answer:
9
Step-by-step explanation:
All triangle angles add up to 180 degrees.
50 + 80 + (6x - 4) = 180
130 + (6x - 4) = 180
-130 -130
6x - 4 = 50
+4 +4
6x = 54
/6 /6
x = 9
Express these ratios in their simplest form.
A class has 5 girls and 8 boys. What is the ratio of girls to the total number of students?
BRAINLIEST**
Answer:
5:13
Step-by-step explanation:
The total number of students = 5+8 = 13
?
Which is the simplified form of n -6p3?
OPTION C
if any doubt leave a comment
Step-by-step explanation:
remember, a negative exponent means 1/...
like 5^-3 = 1/5³
once you understand this, it is totally easy to find the right answer : the third option p³/n⁶
because n has a negative exponent, p has a positive one.
65 trees in town park..38 are apple. How many oak
Answer:
27 oak trees
Step-by-step explanation:
what is the equation of this line in slope-intercept form
Answer:
y=3/5x+3 i think
Step-by-step explanation:
3 is the y intercept, and to find the slope its rise over run so 3 up and 5 to the side, i hope this helps!!
Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm
Answer:
174 cm
Step-by-step explanation:
1.83 m to cm is 183.
So, 183 cm - 9 cm = 174cm
Hope you understand ^^
Answer:
174 cm
Step-by-step explanation:
1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm
The image of the point (4, -9) under a translation is (9, -14). Find the coordinates
of the image of the point (-9, -8) under the same translation.
9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).
x – 1= 4x + x - 8+ 3x
Answer:
1
Step-by-step explanation:
Add one on both sides, combine like terms and solve.
help quick due in 10 minutes you will be reported if you spam Ivan is 75 inches tall if his brother Logan was 5 inches shorter, he would be exactly half Evan's height How tall is Logan? Enter your answer as a decimal in the box,
Answer:
35
Step-by-step explanation:
if not correct I'm very very sorry I tried my best for this</3
Calculate 1.015 to the power of 72
Answer:
2.92 rounded
Step-by-step explanation:
:))
Create a problem on sum or difference of equal using angles. Then solve
Answer:
ABC
Step-by-step explanation:
A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference
The amount of edging trim needed will be equal to the circumference of the given circle, so it will be 31.4ft
We know that the circumference of a circle of diameter D is given by:
C = 3.14*D
Here, we have a circular garden with a diameter of 10ft, and we want to place edging trim along its circumference, so the amount of edging trim that we need is given by:
C = 3.14*10ft = 31.4 ft
You need 31.4ft of edging trim to surround the garden by placing the trim all along the garden's circumference.
If you want to learn more about circles, you can read:
https://brainly.com/question/17009561
Solve for r.
–
17r+6r+16r+17r–19r=12
r=
Answer: R= 4
Step-by-step explanation:
FOR step by step explanation ask me by my mail , Thanks !
A store is having a sale where movies are 15% off their original price a movie is on sale for 22.10$ what was the original price of the movie
Answer:
The answer is $26
Step-by-step explanation:
So, the price after the sale was $22.10 and to find the original price you have to divide the price by 1- the discount. So, I did $22.10/ 1-0.15. Then, I got $22.10/0.85 and then I divided them by each other and got $26.
Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!
Answer:
C. Transitive property of ≅Step-by-step explanation:
The statement #5 and #7 give an outcome of the statement #8:
ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCBThis is called transitive property of congruence:
If one triangle is similar with another two, then the the other two triangles are similar to each otherCorrect choice is C
Answer:
C. Transitive property of congruence
Step-by-step explanation:
Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.
Use the functions f(x)=-x^2+8x-11 and h(x)=-x-7
h(8)-2*f(3)
This is called question #18 on the worksheet images.
Answer:
Step-by-step explanation:
h(8) = -8 - 7
h(8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
h(8) - 2 f(3) = -15 - 2(4) = -23
The value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
Functions f(x) = -x²+8x-11 and
h(x)=-x-7
h(-8) = -8 - 7
h(-8) = -15
f(3) = -(3)² + 8(3) - 11
f(3) = -9 + 24 - 11
f(3) = 4
= h(8) - 2 f(3)
= -15 - 2(4)
= -23
Thus, the value of the h(8) is -15, the value of f(3) 4 after plugging the values of x in the function and the value of h(8) - 2 f(3) is -23.
Learn more about the function here:
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#SPJ2
If $20,000 is invested at 7% for 15 years, find the future value if the interest is compounded daily(365 days)
A.what is biology
b.what is sciences
determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent
Answer:
4. We don't know if they're right triangles
Step-by-step explanation:
If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.
Hep help help help please please
Answer:
7,6
Step-by-step explanation:
Start from the horizontal line and then the vertical line
Answer:
according to the y and x axis rule the x comes first which means that 6 should go in the green box and 7 in the grey
Which table represents a linear function?
The table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below)
Recall:
A function that is linear has a dependent and independent variable, such that y = mx + b.The "m" represents the slope which is the same all through the points given.m = change in y / change in xThus, the fourth table has the following slope (m) that is the same across all points.
Using two pairs of points, (0, 1) and (1, 3):
Slope = 3 - 1/1 - 0 = 2/1
Slope (m) = 2
Any two pairs of points we use will give us the same slope (m) of 2.
Table 1, 2 and 3 will give us different slopes across the points on each table, meaning they do not represent a linear function.Therefore, the table that represents a linear function, having a slope value of 2 is: Table 4 (see image attached below).
Learn more here:
https://brainly.com/question/13510925
Find all missing angles.
M21 =
m22
m23
57-
72•
4
m24
Answer:
4 better explanation inbox
Step-by-step explanation:
Evaluate the expression
-4-4i /6i and write the result in the form a + bi.
Answer:
-(2/3) + (2/3)i
Step-by-step explanation:
( -4 - 4i) / 6i
multply by i/i
(-4i - 4i^2) / 6i^2
since i^2 = -1
(-4i + 4) / -6
(4 - 4i) / -6
Reduce fraction
-(2/3) + (2/3)i
whats the answer can someone answer please
Answer:
Step-by-step explanation:
21.
4(x + 7) - 2x
4x + 28 - 2x
2x + 28
answer: 2x + 28
22.
8(a + b) + 5(2a - 5b)
8a + 8b + 10a - 25b
18a - 17b
answer: 18a - 17b
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Jhon's solution is wrong
1. first mistake
when you see this
10^5/10^4
the right solution is 10^(5 - 4) = 10^1 or just 10
2. second mistake
6.4/7.2 he inverted the fraction which is wrong
you can only invert the fraction when the power is negative
----------------------------------------------------------
now the correct answer is 6.4/7.2 x 10^5/10^4 = 0.88888888888888888888888888888889 x 10
or 0.9 x 10^1
or 8.9
Precalc!! Please help
Answer:
Step-by-step explanation:
1
Please Help Me, I don't understand this kind of math
Answer:
x = 9 cm
y = 4 cm
Step-by-step explanation:
The angle markings tell you the three angles of one triangle are equal to the three angles of the other triangle. That means the triangles are "similar", and the lengths of corresponding sides have the same ratio.
The bottom sides, between the angles with 1 mark and 3 marks, are shown as 3 cm in the green triangle and 6 cm in the blue triangle. This tells you all of the the green triangle dimensions are half those of the corresponding dimensions in the blue triangle:
x = (18 cm)/2 = 9 cm
It also tells you the blue triangle dimensions are 2 times those of the green triangle:
y = 2(2 cm) = 4 cm
_____
Additional comments
Corresponding sides having the same ratio means they are proportional (and vice versa). This can be expressed in equation form as ...
y/(2 cm) = (18 cm)/x = (6 cm)/(3 cm)
__
You may want to discuss this problem with your teacher. The side lengths shown in the figure do not form a triangle. The two short sides are too short to connect to the ends of the long side. The figure is impossible.
can someone help me solve this?
Answer:
- 9Step-by-step explanation:
Given:
3q + 4 + 9 = - 14Solving in steps:
3q + 13 = - 143q = - 14 - 133q = - 27q = - 27/3q = - 9[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]
[tex]\\ \sf\longmapsto 3q+13=-14[/tex]
[tex]\\ \sf\longmapsto 3q=-14-13[/tex]
[tex]\\ \sf\longmapsto 3q=-27[/tex]
[tex]\\ \sf\longmapsto q=-9[/tex]
(a) Michael bought 19 pounds of sugar for $8. How many dollars did he pay per pound
(b) Latoya runs 4 miles in 34 minutes. How many minutes does she take per mile?
Answer:
A = 2.37500
B = 8.5
Step-by-step explanation:
Explanation A - 19 divided by 8 is 2.37500
Explanation B - 34 divided by 4 is 8.5
Due tomorrow answer using steps
[tex]\\ \sf\longmapsto (5x^3+5x^2+5)-(6x^3-6x^2+8x-5)[/tex]
[tex]\\ \sf\longmapsto 5x^3+5x^2+5-6x^3+6x^2-8x+5[/tex]
[tex]\\ \sf\longmapsto 5x^3-6x^3+5x^2+6x^2-8x+5+5[/tex]
[tex]\\ \sf\longmapsto -x^3+11x^2-8x+10[/tex]
[tex]\\ \sf\longmapsto x^3-11x^2+8x-10[/tex]
[tex]\large \boldsymbol{} \longmapsto (5x^3+5x^2+5) -(6x^3-6x^2+8x-5 ) \\\\\\ \longmapsto5x^3+5x^2+5-6x^3+6x^2-8x+5 \\\\\\ \longmapsto 5x^3-6x^3+5x^2+6x^2-8x+5+5 \\\\\\ \longmapsto \boxed{ - x^3+11x^2-8x+10}[/tex]
2 short questions
Please help
Answer:
b c = 5.25p this is the answer
For the first problem shown the answer is number B.
It is B because we our always going up by $5.25
For our second one it isn't a function,
it isn't a function because it follows the same rule through-out it besides at the end of it.