Answer:
+4.5B+0.5B-1.5B+0.5‐0.5+0.5
A previous survey of Washington residents showed that 18% of residents accessed a state park within the last 12 months. This year, the state would like to re-administer the survey, but wants to be sure the Margin of Error in their new study will be at most 4%. Assuming they believe the previous survey's results were reliable, how many samples should they take to ensure their Margin of Error is at most 4% if they plan to analyze the data using a 95% confidence interval
Using the z-distribution for the margin of error, it is found that 355 samples should be taken.
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].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The estimate is of 18%, hence [tex]\pi = 0.18[/tex].
95% confidence, 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 minimum sample size is n for which M = 0.04, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]
[tex]n = 354.4[/tex]
Rounding up, 355 samples should be taken.
A similar problem is given at https://brainly.com/question/14936818
Factor the following expression. x^2+9x+8
Answer:
(x+1)(x+8)
Step-by-step explanation:
I just got multiples of 8 that when added equal to 9. In this case, it was 1 and 8 which when you multiply is 8 and when you add, it's 9.
Are the following polynomial sets open or closed? 6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8) 7 (2 - x)(1 + 3x) 8. (5b - 3c)(7b - 3c)
Answer:
=5880b2x4−6048bcx4+1512c2x4−3920b2x3+4032bcx3−1008c2x3+33320b2x2−34272bcx2+8568c2x2−82320b2x+84672bcx−21168c2x−31360b2+32256bc−8064c2+6x2+6x−24
Step-by-step explanation:
my friend asked me for help and i forgot how to do this.
Answer:
Wings-3
Dollars-10
try this
1/7 divided by blank equals 14
Answer:
1/98
Step-by-step explanation:
Step 1: Translate statement into equation.
[tex]\frac{1}{7}/x = 14[/tex] [tex]\frac{1}{7x}=14[/tex]Step 2: Multiply both sides by 7x.
[tex]\frac{1}{7x} * 7x = 14 * 7x[/tex] [tex]1 = 98x[/tex]Step 3: Divide both sides by 98.
[tex]\frac{1}{98} =\frac{98x}{98}[/tex] [tex]x = \frac{1}{98}[/tex]Step 4: Check if solution is correct.
[tex]\frac{1}{7}/\frac{1}{98}[/tex] [tex]\frac{1}{7}*98[/tex] [tex]14[/tex]Therefore, the answer is 1/98.
The product of a number is 221. sum of no. is 30. Find the number. . p
Answer: 13 and 17
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Among all the pairs of numbers whose difference is 18 18 , find the pair with the smallest product. What is the product?
Answer:2-b= 18-a+b now their product is F=a.b-f(b)=18+b)b Dt/db =18+2b-0=18+2b-0=9+b-9=b
so, that's our only critical point, run a first-derivative test on it, and you'll notice is a minimum
Step-by-step explanation:
An object is launched directly in the air at a speed of 8 feet per second from a platform located 4 feet above the ground. The position of the object can be modeled using the function f(t)=−16t2+8t+4, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?
Does anyone know this?
Answer:
I think 7.6 i remember i had something like this
Step-by-step explanation:
How much would $125 invested at 8% interest compounded continuously be
worth after 16 years? Round your answer to the nearest cent.
A(t)= Poet
A. $428.24
B. $285.00
C. $449.58
D. $367.26
c$449.58
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Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes costs $4.50 and he played 5 games, what was the price per game?
Answer:
first off theres two ways of doing it the equation is more fun though
14.5 = x + 4.5
14.5 = x(5) -4.5
-4.5
10 = 5x
divide by 5
you get
2x or $2
other way was to just -4.5 and divide by 5 but thats no fun
Carpet sells for $3 per square foot and will cost you $675 to recarpet your rectangular room. If your room is 15 feet long, how many feet wide is it?
Find the surface area of this cuboid
Answer:
62
Step-by-step explanation:
SA=2(5x2)+2(5x3)+2(3x2)
SA=20+30+12
SA=62
Find the discriminant of the quadratic equation.
2i2+6i=4
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henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
This question is basically asking for the area of the tablecloth. Remember that A = l • w.
12 • 7 = 84
So, Henry will need to buy 84 ft^2 of fabric.
Determine the value of x. Question 4 options: A) 10 B) 5 C) 10 D) 5
Whitney and Destiny hung out at the mall on Saturday. They spent 45 minutes shopping for clothes and 1 hour at the food court. Then they spent 30 minutes at the video arcade before heading home. It was 12:45 P.M. when Whitney and Destiny left the mall. What time did they start shopping for clothes?
Answer:
11.15 i think
Step-by-step explanation:
Solve:
8t + 2 = 8 (4) + 2 = ? + 2
What is the (?) / Question mark?
Answer:
? = 32
Step-by-step explanation:
Because 8 times 4=32 plus 2 = 34 and therefore t=4 8 times 4 again plus 2 = 34 so 32 plus 2 =34
Plz give brainliest
I don't know the answer to this & I don't understand how to get it.
Answer:
i thank it h
Step-by-step explanation:
Answer:
Well your answer is (F)
Step-by-step explanation:
?
I
Graph the direct variation equation. Y=1/3x
Which graph is correct
What is 23=5-2/3m ??????
Answer:
Step-by-step explanation:
if it's
23 = 5 - (2/3)m
18 = (-2/3)m
m = 18(-3/2)
m = -27
if it's
23 = 5 - 2/(3m)
18 = -2/(3m)
18(3m) = -2
54m = - 2
m = -2/54
m = - 1/27
NO LINKS!!
y = |x + 4| - 1
Approximate when the function is positive, negative, increasing or decreasing.
Describe the end behavior of the function.
Function is positive:
Negative:
Increasing:
Decreasing:
Step-by-step explanation:
Given function:
y = |x + 4| - 1See the graph below
According to the graph we see that
The minimum is (-4, -1) and zero's are (-5, 0) and (-3, 0)
Function is positive:
When x < - 5 and x > -3Negative:
When x is between -5 and -3Increasing:
When x > -4Decreasing:
When x < -4please help.. no links
Use Pythagorean theorem,
[tex]29^2 = 21^2 + x^2 \\\\\implies x^2 = 29^2 -21^2 \\\\\implies x^2 = 400\\\\\implies x = \sqrt{400} = 20[/tex]
15. Jessica is trying to hire a babysitter that charges less than $10 per hour (not including any extra fees).
Which babysitters would charge less than $10 per hour? Select all that apply.
A. Mia charges $34 for 3 hours. This includes a $10 commute fee.
B. Alex charges $66 for 6 hours. This includes a $12 commute fee.
C. Sam charges $92 for 7 hours. This includes a $8 commute fee.
D. Tony charges $52.5 for 3.5 hours. This includes a $0 commute fee.
E. Rene charges $112 for 5.5 hours. This includes a $2 commute fee.
Answer:
A. and B.
Step-by-step explanation:
A. $34 - $10= $24 hourly fee divided by 3= $8 per hour.
B. $66 - $12= $54 hourly fee divided by 6= $9 per hour.
C.$92-$8= $84 hourly fee divided by 7= $12 per hour.
D. $52.5-$0= $52.5 hourly fee divided by 3.5= $15 per hour.
E. $112-$2=$110 hourly fee divided by 5.5= $20 per hour.
So Mia and Alex are the cheapest .
Tara's pool is 50 yards in length and 20 feet in width. How many square feet is the pool? How many square yards in the pool? Show your work.
Answer the following questions.
(a) What percent of 80 is 44?
(b) What number is 45% of 40?
Answer:
a. 55%
b. 22
Step-by-step explanation:
Answer:
[tex]a)55[/tex]
b) 18
Step-by-step explanation:
→ Set up an for part a
[tex]\frac{80x}{100} =44[/tex]
→ Multiply both sides by 100
[tex]80x=4400[/tex]
→ Divide both sides by 80
[tex]x = 55[/tex]
→ Multiply both numbers together for part b
45 × 40 = 1800
→ Divide the answer by 100
1800 ÷ 100 = 18
What does it mean to say that a function is linear?
Select all that apply.
A. The function has a graph that includes the point (0,0).
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
| E. The function has a rate of change that increases.
A function is linear if:
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
A function is said to be linear if it is a straight line graph and it can be represented by the equation:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
A linear function has a constant rate of change (either increasing or decreasing).
Find out more at: https://brainly.com/question/21835898
it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Positive D. Negative
integers is your answer
How do u do this math problem
Answer:
is there a question asked or no?
what is the greatest number of obtuse angles that a right triangle can contain
Step-by-step explanation:
i think this is the answer
Answer:
ZeroStep-by-step explanation:
Obtuse angle is the angle greater than 90°.
A right triangle has one 90° and the sum of remaining angles is 90°.
It means a right triangle can't have an obtuse angle.