Answer:
Step-by-step explanation:
Using confidence interval concepts, it is found that:
a)
The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).
The interpretation is:
iii. We are 99% confident that this interval contains the true population mean.
b)
A sample size of 664 would be required.
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 M[/tex]
The margin of error is:
[tex]M = 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].
The interpretation of a x% confidence interval between a and b is that we are x% confidence that the true population mean lies in this interval, thus, option iii is correct.
In this problem:
Survey of 2005 adults, thus [tex]n = 2005[/tex].27% believe in astrology, thus, [tex]p = 0.27[/tex].99% confidence interval, thus z has a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], thus z = 2.575.Then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 2.575\sqrt{\frac{0.27(0.73)}{2005}}[/tex]
[tex]M = 0.026[/tex]
The interval is:
[tex]M - \pi = 0.27 - 0.026 = 0.244[/tex]
[tex]M + \pi = 0.27 + 0.026 = 0.296[/tex]
The 99% confidence interval for the proportion of all adult Americans who believe in astrology is (0.244, 0.296).
Item b:
Irrespective of the value of p, thus [tex]\pi = 0.5[/tex].Margin of error of [tex]M = 0.05[/tex], and we have to find n:[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 2.575\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.05\sqrt{n} = 2.575(0.5)[/tex]
Dividing both sides by 0.05.
[tex]\sqrt{n} = 2.575(10)[/tex]
[tex](\sqrt{n})^2 = [2.575(10)]^2[/tex]
[tex]n = 663.1[/tex]
Rounding up:
A sample size of 664 would be required.
A similar problem is given at https://brainly.com/question/16807970
2[tex]\sqrt{64[/tex]
Lupita y Andrés quieren comprar un bicicleta que ven todos los días en el aparador de la tienda la cual cuesta $3 686 ( IVA incluido 16%) y tiene el 20% de descuento ¿Cuanto pagara por la bicicleta?
Hank has 4 green marbles for every 9 red marbles. If hank has 39 total marbles, how many green marbles does he have? pls answer ASAP it for assignment
Answer:
12 green marbles
Step-by-step explanation:
in this case we have to add the the green marbles as 4 and red marbles as 9
so, 4 + 9 = 13 and divide the total marbles to it
so, 39/13 = 3
so, here we have 3 times marble in 13 green marble to get the total number
so, 3 (13)
so, in this case we have to separate the green and red
so, 13 as ( 9 red + 4 green)
so,3 times ( 9 red + 4 green)
in this case we can use distributive property of multiplication
so, 3 times 9 red = 27 is the total red marbles
and 3 times 4 green = 12 is the total green marbles
to check the answer we have to add this two
so, 27 red marbles + 12 green marbles = 39 total marbles
so, that's why it is 12 green marbles
Please mark me as brainliestJustin is going to invest $31,000 and leave it in an account for 7 years.
Assuming the interest is compounded quarterly, what interest rate, to the
nearest tenth of a percent, would be required in order for Justin to end up
with $45,000?
Answer:
5.4 percent
Step-by-step explanation:
Need help asap
Question 6
Answer:
AC=30
BD=30
BE=15
AB=27
Answer:
AC = 30, BD = 30, BE = 15, AB = 27, BC = 13.1
Step-by-step explanation:
AC = AE * 2
BD = BE * 2
BE = AE
AB = CD
BC = [tex]\sqrt{30^{2}-27^{2} }[/tex] (Pythagorean theorem)
3) 75b^2-3 what is this factored please
40 points! Please help me
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
2x+6=4x-10[corresponding angle]
16=2x
x=8
again
2×8+6+13y-24=180°[linear pair]
13y=180+2
y=182/13
y=14
What is the answer to 0=V+19
Answer:
v= -19
Step-by-step explanation:
Solve for V by simplifying both sides of the equation, then isolating the variable.
Answer:
-19
Step-by-step explanation:
+19 -19 = 0
Therefore,
V = -19
Subtract 19 from both sides 0 - 19 = -19,
-19 = V
Rectangles always have congruent diagonals.
False
True
False
X increased by 10 is equal to 42
Answer:
x = 32
Step-by-step explanation:
x + 10 = 42, then you subtract 10 from both sides to get 32
Please help 30 points pls
Answer:
4.75b; 8
Step-by-step explanation:
Area of triangle: height ÷ 2 × base
38 = 9.5 ÷ 2 × b
= 4.75 × b
38 = 4.75b
b = 38 ÷ 4.75
b = 8
Answer:
4.75 & 8
Step-by-step explanation:
Hope this helps
A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: Based on the values of the arithmetic mean, median, and mode, what is the most likely shape of the distribution
Answer:
hello your question is incomplete below is the complete question
A company's human resources department was interested in the average number of years that a person works before retiring. The sample of size 11 follows: 12 16 18 19,21 21, 21,22 24 24 26What is the arithmetic mean, median and mode? what is the most likely shape of the distribution
answer :
i) mean = 20.36
ii) median = 21
iii) mode = 21
iv) The most likely shape is a Bell - shaped curve
Step-by-step explanation:
sample size = 11
values ( observations ) = 12, 16, 18, 19,21,21,21,22,24,24,26
i) mean
= ∑ values / sample size = 224 / 11 = 20.36
ii) median
median is the value of the data located at the center of the string of data
to determine the middle position = ( n+1 / 2 )
where n = sample size
hence position of median value = 11 + 1 / 2 = 12 / 2 = 6
the value at the 6th position = 21 ( median )
iii) mode
mode = most repeated value in the series of data
hence mode value = 21
Zander found these coins in his Couch
Answer:
91 cents
Step-by-step explanation:
3 quarters+3 nickel+1 penny=91 cents
Answer:
91 cents
Step-by-step explanation:
3 quarters=75c
3 nickels=15c
1 penny=1c
75c+15c+1c=91 cents
WILL MARK BRAINLEST
You want to estimate how many fish there are in a pond. Suppose you cature 145 fish, tag them, and throw them back into the pond. After a couple of days, you go back to the pond and capture 580 fish, of which 29 are tagged.
An estimate for the number of fish in the pond is
fish
Answer:
450fish estimate
Step-by-step explanation:
Each triangle in the net below has a base of 6 centimeters and a height of 8 centimeters. What is the surface area, in square centimeters, of the figure represented by the net? helpppppp i need help pls
The area of a triangle is 1/2 x base x height.
The area of the triangle is 1/2 x 6 x 8 = 24 square cm.
There are 4 identical triangles so 24 x 4 = 96 square cm.
The area of the square base = 6 x 6 = 36 square cm.
Total area = 96 + 36 = 132 square cm.
Juice is on sale with the rule "buy one, get one half-off.” Write an expression two different ways to represent the cost of buying two containers of juice, j, on sale. Enter the correct answers in the boxes.
Answer:
34
24
Step-by-step explanation:
divide 25 by 3
What are the solutions of x2 - 7x + 13 = 0 ? Imaginary numbers
Answer:
Step-by-step explanation:
I know what your thinking YOU DIDNT ANSWER!!!!! but think again i did, it is just an imaginary answer. dad jokeCRINGE!!!!!
Answer:
2 imaginary numbers
Step-by-step explanation:
x^2-7x+13=0
C=(-7)^2-4x1x13
D=-3
2 imaginary numbers
Will give brainly Simplify 5/10
A car travels 30 – miles in
304
of an hour. What is the average speed, in miles per hour,
of the car?
Answer:
45.3 miles/h
Hope this will help you
Step-by-step explanation:
The radius of a circle is 3.9 in. Find the circumference to the nearest tenth.
Answer:
24.5
Step-by-step explanation:
Determine whether the sequence converges or diverges. If it converges, find the limit. [Hint:
consider limit laws, the Squeeze Theorem, behavior of related real-valued functions, etc.]
(a) an = 2 + (0.86)^n
(b) an =(4^n)/(1+9^n)
(c) an = arctan(ln n)
(a) converges; consider the function f(x) = a ˣ, which converges to 0 as x gets large for |a | < 1. Then the limit is 2.
(b) converges; we have
4ⁿ / (1 + 9ⁿ) = (4ⁿ/9ⁿ) / (1/9ⁿ + 9ⁿ/9ⁿ) = (4/9)ⁿ × 1/(1/9ⁿ + 1)
As n gets large, the exponential terms vanish; both (4/9)ⁿ → 0 and 1/9ⁿ → 0, so the limit is 1.
(c) converges; we know ln(n ) → ∞ and arctan(n ) → π/2 as n → ∞. So the limit is π/2.
Q8 Change 12 g to kilograms,
Answer:
0,012
Step-by-step explanation:
12 grams is 0.012 kilograms.
Hope this helps; have a great day!
What is the value of n?
Answer:
your answer will be A.85°
Step-by-step explanation:
hope it helps you
have a great day!!!
What is the approximate area of the shaded region in the given square containing 2 semicircles? (Use * 3.14.) 10 cm 0 21.5 square centimeters O 50 square centimeters O 78.5 square centimeters O 100 square centimeters
Answer:
yes
Step-by-step explanation:
bcuz
Answer:
Subtract the circle from the square
Step-by-step explanation:
(10× 10) - 25pi
2/5 of 16= (estimate each product)
Answer:
6.4 rounds down to 6.
Step-by-step explanation:
Divide 16 by 5. Multiply that number by 2.
Determine the missing number in the equation 3+7=+4 ANSWER QUICKLY PLEASE
Answer:
-6
Step-by-step explanation:
3+7=10
10-6=4
so 3+7-6=+4
hope this helps
Answer:
6
Step-by-step explanation:
= means the same as
3+7 = 10
therefore 4 + ?=10
10-4=6
therefore the missing number is 6
=6
Divide. Write your answer in simplest form. 9/2 / 1/4
Answer:
18
Step-by-step explanation:
9/2 / 1/4
keep 9/2
Change the operation to multiplication
flip 1/4 into 4 or 4/1
multiply on top and bottom and get 36/2
which 36/2 is 18 and 18 is the answer
Brainliest?
In AQRS, the measure of _S=90°, SQ = 13 feet, and QR = 59 feet. Find the measure
of ZR to the nearest tenth of a degree.
Answer:
Step-by-step explanation:
12.7
What is 1+1 I need help
Answer:
2
Step-by-step explanation:
1 + 1 = 2
Number Order: 1 2 3 4 5 6...
1 plus an additional value of 1 gives us the next number which is 2
Which function is best represented by this graph?
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the -2 in the answer is the y intercept. 1/4 is the slop. rise over run, so up one and over four