Using the z-distribution, as we are working with a proportion, it is found that samples of 937 should be taken.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have that:
The estimate is of [tex]\pi = 0.675[/tex].The margin of error is of M = 0.03.95% 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].Then, we solve for n to find the minimum sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.675(0.325)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.675(0.325)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.675(0.325)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.675(0.325)}}{0.03}\right)^2[/tex]
[tex]n = 936.4[/tex]
Rounding up, it is found that samples of 937 should be taken.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Which of the equations or inequalities below are true?
A. 8-6<3
B. 8-6=2
C. 8-6>3
D. 6-8=2
Answer:
The answer is C because 8-6=2 and 2 is equal to 2
Step-by-step explanation:
What method would you choose to solve the
equation 2x- - 7 = 9? Explain why you chose this
method.
Answer:
2x2 - 7 = 9
Step-by-step explanation:
The factoring method can be chosen to solve the equation 2x2 - 7 = 9. It is one of the easiest methods as we can isolate the variable by factoring out the GCF and obtaining the values.
Hope it helps!!!brainliest pls!!!
A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is V = 5.0 + 1.2x, where y is the predicted
number of points scored and x is the number of shots
taken.
In one game, a team takes 50 shots and the residual is
10. How many points were scored by this team in this
game?
O 45
O 55
O 65
O 75
Answer:55
Step-by-step explanation:
i had that question in my test
Answer:
the person above me is correct!
Step-by-step explanation:
How much more is required to make 780 g to 1 Kg ?
Answer:220g
Step-by-step explanation:
1 kg is equivalent to 1000g, therefore 1000g - 780g = 220g
What is the value of x (7x-1) (6x-1) now
Answer:
42
Step-by-step explanation:
Its impossible tto calculate x there.
But i can simply the expression for you...
42x²-13x+1
10 is 1/10 of
what is it?
what is 44:20 = ?:5 ?
Answer:
11:5Step-by-step explanation:
[tex]44:20[/tex]
Cancel common factor : 4
[tex]44 \div 4 = 11 \\ 20 \div 4 = 5 \\ 11:5[/tex]
The ratios are 44:20=11:5
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The given ratios are 44:20 = ?:5
we have to find the number in question mark place.
Let question mark be taken as x.
The ratios can be written in the form of fraction
44/20=x/5
Apply cross multiplication
44×5=20x
220=20x
Divide both sides by 20
x=220/20
x=11
Hence, the ratios are 44:20=11:5
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WILL MARK BRAINLIEST Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. b Given: FD ⊥ AB ∠A ≅ ∠B Prove: ∠F ≅∠CEF
Answer:
AED congruent to FEC
Step-by-step explanation:
If you look closely, BOth of the angles are vertical.
Frank can mow lawns at a constant rate of 6/5 lawns per hour. How many lawns can Frank mow in 50 hours?
Answer:
60 lawns
Step-by-step explanation
6/5 lawns per hour times 50 hours = 60 lawns.
rate x time
3) g(x) = 3x - 5
f(x) = x² +3
Find g(x) + f(x)
A) x2 + 3x - 2
C) x² - 4x + 6
B) x² – 3x - 2
D) -x - x + 1
Answer:
C. X²-4X+6
MY ANSWER(not sure)
What is the area of the region in the first quadrant bounded on the left by the graph of x=y^2/2 and on the right by the graph of x=3y−4 for 2≤y≤4 ?
The area of the region is -2/3 square units
The area bounded by the regionSince the region is bounded on the left by x = y²/2 and on the right by x = 3y - 4 for 2 ≤ y ≤ 4, the area of the region is given by
[tex]A = \int\limits^4_2 {\frac{y^{2}}{2} } \, dy - \int\limits^4_2 {(3y - 4)} \, dy \\[/tex]
Integrating, we have
A = [y³/6]₂⁴ - [3y²/2 - 4y]₂⁴
A = [4³/6 - 2³/6] - [3(4)²/2 - 4(4) - {3(2)²/2 - 4(2)]}]
A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]
A = [64/6 - 8/6] - [3(16)/2 - 16 - {3(4)/2 - 8]}]
A = [64/6 - 8/6] - [3(8) - 16 - {3(2) - 8]}]
A = [(64 - 8)/6] - [3(8) - 16 - {3(2) - 8]}]
A = [56/6] - [24 - 16 - {6 - 8}]
A = [56/6] - [8 - {-2}]
A = [56/6] - [8 + 2]
A = [56/6] - [10]
A = 56/6 - 10
Taking the L.C.M, we have
A = (56 - 10 × 6)/6
A = (56 - 60)/6
A = -4/6
A = -2/3 square units
So, the area of the region is -2/3 square units
Find the graph in the attachment
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2. Change from dog/cat to tails/heads. DDC = TTH CDC = __________ DCD = __________ CCD = __________ DDD = __________ CCC = __________ DCC = __________ CDD = __________
Answer:
2. Change from dog/cat to tails/heads.DDC = TTH CDC = HTH DCD = THT CCD = HHT DDD = TTT CCC = HHH DCC = THH CDD = HTT
HELP! 7-10 I need help with.
9514 1404 393
Answer:
7. odd angles, 143°; even angles, 37°
8. odd angles, 159°; even angles, 21°
9. even angles, 34°; odd angles, 146°
10. even angles, 29°, odd angles, 151°
Step-by-step explanation:
Angles 1 and 3 are vertical angles, so are congruent. The same can be said of angles 2 and 4. Each odd-numbered angle is supplementary to each even-numbered angle.
__
7. m∠1 = m∠3 = 143°, m∠2 = m∠4 = 180° -143° = 37°
8. m∠1 = m∠3 = 159°, m∠2 = m∠4 = 180° -159° = 21°
9. m∠2 = m∠4 = 34°, m∠1 = m∠3 = 180° -34° = 146°
10. m∠2 = m∠4 = 29°, m∠1 = m∠3 = 180° -29° = 151°
For what value of x is the given parallelogram a rhombus?
Answer:
[tex]\sf x = 6[/tex]
solving steps:
[tex]\sf in \ a \ rhombus \ the \ opposite \ angles \ are \ equal[/tex]
[tex]\hookrightarrow \sf 7x + 4 = 9x - 8[/tex]
[tex]\hookrightarrow \sf 7x -9x = - 8-4[/tex]
[tex]\hookrightarrow \sf -2x = - 12[/tex]
[tex]\hookrightarrow \sf x = 6[/tex]
Twice the sum of a number and 9 is 30
Translate the statement into a mathematical equation & solve
Answer:
2x+9 is the equation
x = 10.5
Step-by-step explanation:
2x + 9 = 30
2x = 30 - 9 = 21
x = 21 ÷ 2 = 10.5
Hope this helps!
What is 10 x 10 in exponential form
Answer:
40
Step-by-step explanation:
Answer:
2= log(2x)
3=log(x)
4=log(x)
Step-by-step explanation:
solve the equation..
[tex]\\ \sf\longmapsto \dfrac{1}{4}y-7=\dfrac{1}{9}y[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{4}y-\dfrac{1}{9}y=7[/tex]
[tex]\\ \sf\longmapsto \dfrac{9-4}{36}y=7[/tex]
[tex]\\ \sf\longmapsto 5y=36(7)[/tex]
[tex]\\ \sf\longmapsto 5y=252[/tex]
[tex]\\ \sf\longmapsto y=50.4[/tex]
Which of these units would be best to use to measure the length of a box of tissues?
A. Grams
B. Kilograms
C. Centimeters
D. Kilometers
Answer:
Metric Unit: US Standard Unit (English Unit or Customary Unit) Millimeter (mm) Used to measure very short lengths or thicknesses. Example, length of a pencil tip. Centimeter (cm): Used to measure small lengths. Example: Length of a pencil. Meter (m): Used to measure big lengths. Example: Length of a classroom. Kilometer (km):
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
A box of tissues is not that big, so we can't use kilometers.
You are only measuring the length, not the weight, so we can't use grams or kilograms.
The only option left is C, centimeters.
A cylinder has radius 9 inches and height 15 inches. A cone has the same radius and height
Find the volume of the cylinder
Find the volume of the cone
What fraction of the cylinder's volume is the cone's volume?
Answer:
See below
Step by step explanation:
Step-by-step explanation:
For cylinder:
r = 9 inches
h = 15 inches
[tex]V_{cylinder}=\pi r^2 h[/tex]
[tex]\implies V_{cylinder}=3.14 (9)^2 (15)[/tex]
[tex]\implies\huge\purple{ V_{cylinder}=3,815.1\:inch^3}[/tex]
[tex]V_{cone}=\frac{1}{3} V_{cylinder}[/tex]
[tex]\implies V_{cone}=\frac{1}{3}\times 3,815.1[/tex]
[tex]\implies \huge\orange{V_{cone}=1,271.7\: inch^3}[/tex]
Cone's volume is one third of the cylinder's volume.
subtract 4 1/2 - 2 1/5?
Answer:
2.3 (decimal form)
Step-by-step explanation:
Convert 4 1/2 and 2 1/5 into improper fractions.
4 1/2 -> 9/2, 2 1/5 -> 11/5
Then you subtract, find the LCD (Least Common Denominator) and then you can combine.
Decimal form of answer: 2.3
Exact form of answer: 23/10
Mixed number form: 2 3/10
Any of those work! ⬆
Help me out I’m also at done!!!
Answer: 68
Step-by-step explanation:
(7-(-1))^2+(-2)^2
8^2+4
68
Answer:
im sry if i get it wrong i think it is 32
Step-by-step explanation:
Angle θ forms a reference angle that is below the positive x axis (in quadrant IV). What will be the signs on the sine and cosine of angle θ?
Answer:
sin(θ) is negative, cos(θ) is positive
Step-by-step explanation:
Cosine corresponds to the x-coordinate within the unit circle, sine corresponds to the y-coordinate. In quadrant I, they are both positive, in quadrant II, x is negative whilst y is positive, and you would just continue by how they correspond as show in the unit circle, therefore, in quadrant IV, x is positive, y is negative.
The half-life of gold-195m is approximately 30.5 seconds.
Step 2 of 3: How much of a 12 gram sample of gold-195m would remain after 41 seconds? Round to three decimal places.
The amount of the 12 grams sample of gold-195m having a half-life of 30.5 s that would remain after 41 s is 4.726 g
How to determine the number of half-lives Half-life (t½) = 30.5 sTime (t) = 41 sNumber of half-lives (n) =?n = t / t½
n = 41 / 30.5
n = 82/61
How to determine the amount remaining Original amount (N₀) = 12 gNumber of half-lives (n) = 82/61Amount remaining (N) =?N = N₀ / 2ⁿ
N = 12 / 2^(82/61)
N = 4.726 g
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The factor tree below provides the factors of 18.
18
N.
2
9
3
3
What is the prime factorization of 18?
2 x 3
2 x 9
2 x 3x3
02x3x9
Answer: it is (c)
i hope this helped :)
The thickness of DNA is about 3 * 10-9 meter. The thickness of the
smallest thing visible to the naked eye is 1* 10-4.
Compare the thickness of DNA to the smallest thing visible to the naked eye.
Answer:
The smallest thing is visible to the naked eye is 1/3x10^5 times as thick as DNA.
The thickness of DNA is 3x10^-5 of the thickness of the smallest thing visible to the naked eye.
Step-by-step explanation:
Answer:
Whatever is smallest to the naked eye is 1/3x10^5 times as thick as DNA.
Hey, what's 25.21-12.47?
First, you have to line up the decimal places (it isn't multiplication or division).
25.21
- 12.47
_______
12.74
25.21-12.47 = 12.74
Answer:
12.47
Step-by-step explanation:
What is the answer to 1+1
Answer:
5
Step-by-step explanation:
this is easy
Answer:
2
Step-by-step explanation:
What does the • stand for n the problem. -4 • 6
Answer:
Multiplication
Step-by-step explanation:
simple form:
-4 x 6
-4 TIMES 6
therefore -4•6
Answer:
it stands for x or multiply
Step-by-step explanation:
We reached our goal by helping 2000 customers this month which is 14% more than last month. That means we must have helped how many customers last month?
Answer:
1754
Step-by-step explanation:
114% : 2000
100% : x
x =
[tex]2000 \times 100\% \div 114\% = 1754 \: customers \\ [/tex]
For the function defined here, find
Answer:
f(0) = 2f(1) = 3f(2) = -2Step-by-step explanation:
The function value is the y-coordinate of the point having the given x-value.
f(0) = 2f(1) = 3f(2) = -2