Using the z-distribution, it is found that a sample size of 1066 is 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 z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of .
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
From the previous study, the estimate is of 0.23, hence [tex]\pi = 0.23[/tex].
98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so [tex]z = 2.327[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 2.327\sqrt{\frac{0.23(0.77)}{n}}[/tex]
[tex]0.03\sqrt{n} = 2.327\sqrt{0.23(0.77)}[/tex]
[tex]\sqrt{n} = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.327\sqrt{0.23(0.77)}}{0.03}\right)^2[/tex]
[tex]n = 1065.5[/tex]
Rounding up, a sample size of 1066 is required.
A similar problem is given at https://brainly.com/question/12517818
how do you do 4 3/16 + 1 1/10?
Answer:
5 23/80
Step-by-step explanation:
First, you need to find the least common multiple of 16 and 10 to add the fractions. The LCM of 16 and 10 is 80. You have to multiply 5 to 16 to get 80 and 8 to 10 to get 80, so you also multiply the numerator by those numbers. In the end you would get 4 15/80+1 8/80, which equals 5 23/80.
Jersey Mike’s is offering $0.80 off its foot-long sub sandwiches. If this represents a 20% markdown, what is the sub’s regular selling price?
A solid right square prism is cut into 4 equal pieces parallel to its bases. The
volume of each piece is V = 1/4s2h.Solve the formula for s
Answer:
Step-by-step explanation:
If the volume of each piece is V = 1/4s²h then formula for s is 2√V/h
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a solid right square prism is cut into 4 equal pieces parallel to its bases
The volume of each piece is V = 1/4s²h.
We have to solve for s
4V/h=s²
Take square root on both sides
√4V/h = s
2√V/h = s
Hence, if the volume of each piece is V = 1/4s²h then formula for s is 2√V/h
To learn more on Three dimensional figure click:
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#SPJ2
Jon paid $40 for a shirt, but later that week the
price had been raised by 15%...how much did
the shirt go up?
Please give a walk through ty
Answer:
15% of 40 is 6
9514 1404 393
Answer:
$6
Step-by-step explanation:
15% is the ratio of the price increase to the original price.
As a fraction 15% = 15/100 (fifteen hundredths).
As a decimal, 15% = 0.15 (fifteen hundredths).
__
The statement about the price increase is telling you ...
(increase)/(original) = 0.15
Multiplying by the original price, we get ...
(increase) = 0.15×(original) = 0.15 × $40 = $6.00
The price of the shirt went up $6.00.
What is 2 3/8 - 1 5/8 =
2 3/8 - 1 5/8
19/8 - 13/8
6/8
3/4
The answer is 3/4
Sub 2 Raging Sushi plz
Answer:
3/4
Step-by-step explanation:
A sum of money was shared between Joan and Ngozi in the ratio 5:3. If Joan share was 40.00naira how much was the original sum of money
Answer:
64
Step-by-step explanation:
J : N
5 : 3
40 : x
40×3=120
120÷5=24
24+40=64
to confirm if it's correct:
5:3
5+3=8
(5/8)×64=24
(3/8)×64=40
therefore, it's 64
tret
) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks,
4) Miss Ellison is getting married soon. She would like to hire a professional who will come
to her house and do hair and makeup for the bridal party on her wedding day. She has
narrowed it down to two possible choices. A woman from Oxford Salon charges an initial fee
of $34 and then an additional $13 per hour. Alternatively, a team from Beauty by Charlie
offers a free consultation and then charges a higher hourly rate of $30. If it takes a certain
amount of time to finish everyone's hair and makeup, Miss Ellison will end up paying the
same amount either way. How long would that take? How much would Miss Ellison end up
paying?
hours, to finish everyone's hair and makeup, Miss Ellison will end up
It it takes
paying $
in which town does the total number have meaning
Which expression is equivalent to the fraction below?
3/5
Answer:
.6, 6/10, 15/25
Step-by-step explanation:
hope this helps!❄︎
A company generally purchases large lots of a certain kind of electronic device. A method is used that rejects a lot if 4 or more defective units are found in a random sample of 100 units. ​(a) What is the probability of rejecting a lot that is ​3% ​defective? ​(b) What is the probability of accepting a lot that is ​4% ​defective?
Using the binomial distribution, it is found that there is a:
a) 0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
b) 0.4295 = 42.95% probability of accepting a lot that is 4% defective.
For each device, there are only two possible outcomes, either it is defective, or it is not. The probability of a device being defective is independent of any other device, hence the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem, the sample has 100 units, hence [tex]n = 100[/tex].
Item a:
3% of the pieces are defective, hence [tex]p = 0.03[/tex].
The probability is:
[tex]P(X \geq 4) = 1 - P(X < 4)[/tex]
In which:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{100,0}.(0.03)^{0}.(0.97)^{100} = 0.0476[/tex]
[tex]P(X = 1) = C_{100,1}.(0.03)^{1}.(0.97)^{99} = 0.1471[/tex]
[tex]P(X = 2) = C_{100,2}.(0.03)^{2}.(0.97)^{98} = 0.2252[/tex]
[tex]P(X = 3) = C_{100,3}.(0.03)^{3}.(0.97)^{97} = 0.2275[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0476 + 0.1471 + 0.2252 + 0.2275 = 0.6474[/tex]
[tex]P(X \geq 4) = 1 - P(X < 4) = 1 - 0.6474 = 0.3526[/tex]
0.3526 = 35.26% probability of rejecting a lot that is 3% defective.
Item b:
4% of the pieces are defective, hence [tex]p = 0.04[/tex].
Lot is accepted if less than 4 units are defective, hence:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169[/tex]
[tex]P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703[/tex]
[tex]P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450[/tex]
[tex]P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973[/tex]
Then:
[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0169 + 0.0703 + 0.1450 + 0.1973 = 0.4295[/tex]
0.4295 = 42.95% probability of accepting a lot that is 4% defective.
A similar problem is given at https://brainly.com/question/24863377
3^9 times 3^7 in exponential form
Answer:
3¹⁶
Step-by-step explanation:
While adding numbers with exponents, if the base of the numbers is same, then it will also be the same in the final answer and the exponents add
Hope this helps!
Answer:
You can just add the exponents power
9+7=16
So its 3^16 in exponential form
You can think of it like this.
for 3^9 its
3*3*3*3*3*3*3*3*3
And for 3^7 its
3*3*3*3*3*3*3
Now your multiplying them all together.
Really your jsut adding the value so in the end
3*3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
So its
3^16
help me please someone
=========================================================
Explanation:
Part A
Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.
------------------------
Part B
Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).
------------------------
Part C
Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.
The cash price of a used sedan is $18,750. Arthur Dennis cannot pay
cash, so he is making a down payment of $2,750 and 60 monthly
payments of $325 each. How much more does it cost to buy the vehicle this way?
Answer:
19,500
Step-by-step explanation:
You multiply 325 x 60 and you get 19,500
Calculate the probability P(E).
The Heavy Weather Service predicts that for tomorrow there is a 50% chance of tornadoes, a 25% chance of a monsoon, and a 15% chance of both. What is the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon?
The probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total putcome
If there is a 15% chance that tornadoes and monsoon will occur, hence the
the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon will be expressed as:
Pr(neither tornadoes nor a monsoon) = 1 - Pr(both will occur)
Pr(neither tornadoes nor a monsoon) = 1 - 0.15
Pr(neither tornadoes nor a monsoon) = 0.85 = 85%
Hence the probability that we will be lucky tomorrow and encounter neither tornadoes nor a monsoon is 0.85
Learn more on probability here: https://brainly.com/question/13604758
PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25
Function 2 is represented by the table.
x y
5 31
10 41
15 51
20 61
Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.
The rate of change for Function 2 is three times the rate of change for Function 1.
The rate of change for Function 2 is one third the rate of change for Function 1.
The rate of change for Function 2 is the same as the rate of change for Function 1.
Answer:
The rate of change for Function 2 is one third the rate of change for Function 1.
Please mark brainliest if possible :)
Evaluate 10.5s + 9.9t when s=3 and t = 4
Answer:
71.1
Step-by-step explanation:
Answer:
71.1 is the answer
Step-by-step explanation:
Part B
Transform the equation that you identified in part A so the variable k is alone on one side of the equation.
Answer:
Start with the original equation.
k + a = 500
Subtract a from both sides of the equation.
k + a – a = 500 – a
k = 500 – a
Step-by-step explanation: this was my edmentum answer
if f(x)= -2x^3 +14-8
if g(x)= 2x+6
find p(x) and g(x)
hurry upp please
Answer:x=3
Step-by-step explanation:
find the amount accumulated in an account after $9000 is invested for 8 years at a 4% coumpounded monthly
Step-by-step explanation:
9000(1+0.04/12)^(8*12)
9000(1.0033333)^96
9000(1.3763)
A=12,387.56
Help me plz I really need help
Answer:
it won't let me message back.
Step-by-step explanation:
At a local corner store, the cost of a bag of chips at the corner store is $1.30, and the
cost of a banana is $1.40. What would it cost to get 4 bags of chips and 5 bananas?
What would it cost to get a bags of chips and y bananas?
Total cost, 4 bags of chips and 5 bananas:
Total cost, x bags of chips and y bananas:
Submit Answer
attempt 2 out of a problem 1 out of maxi
Answer:
1- 12.20$
2- 1.30$ + 1.40y$
3- 1.3x + 1.4y
Step-by-step explanation:
input unknown values using x and y
Solve: 2x^2 -x >15 Show your work.
Answer:
x>3
Step-by-step explanation:
Work:
2x^2-x>15
Subtract 15 on both sides:
2x&2-x-15>0
Factor the left side of equation to cancel out the ^2.
(2x+5)(x−3)>0
2x+5=0 or x−3>0
Then to make it easier we will do the x-3>0 one, add 3 to both sides = x>3
Which sentence uses correct subject-verb agreement?
A. The river through our cities are polluted
B. Mountains in Colorado is beautiful.
C.The book about South American rivers is overdue.
D. The trees around our state is blooming.
Answer: C
Step-by-step explanation: the guy up top is correct:)
PLEASE HELP ME I AM CONFUSED
Sara bought 3 4 of a pound of bananas and 3 5 of a pound of pears. How much fruit did Sara buy?
Answer:
69
Step-by-step explanation:
because 34plus 35 will give you 69
Help help help help hell
Answer:
m = N - f
Step-by-step explanation:
The original equation:
N = m + f
if we have to solve for m, then we have to isolate it, so subtract f from both the sides and that would be the answer.
Hope this helps!
HELLPPPPPP PLEASEEEE!!!!!!!!!!!!!!!
Answer:
D: Both the slopes and the y-intercepts are the same.
Answer:
its the same
Step-by-step explanation:
the slope is -2 and the y-intercept is (0,3)
Prepare an accounting equation for the following business transaction
1. Purchased supplies on account, 4,000
2. Purchased furniture and fixtures for cash, 3,000
3. Paid account in no. 1.
4. Paid advance advertisement for promoting the business 1,000
5. Paid the note 2,000
Answer:
you draw a T. form and then you can start to in debit and credit
It’s for pre college
Answer:
Step-by-step explanation:
y = mx + b for line through (7, 4) and perpendicular to -5x + 9y = - 71
perpendicular lines have negative reciprocal slopes
-5x + 9y = - 71
9y = 5x - 71
y = (5/9)x - 71/9
so a perpendicular line will have slope -9/5
y = (-9/5)x + b
plug in our desired point
4 = (-9/5)7 + b
4 = -63/5 + b
20/5 = -63/5 + b
b = 83/5
y = (-9/5)x + 83/5
5y = -9x + 83
damon swam 0.68 km in the pool for each day for 2 weeks how many meters did damon swim in those 2 weeks
Answer:
10,080,000 (because 720×14, the total number of days he swam in two
Step-by-step explanation:
help me please the drop down menu is the same for top and bottom i’m lost:(
Answer:
1) No solution
2) Infinitely many solutions
Step-by-step explanation:
1) No solution
0=2 is false.
2) Infinitely many solutions
2=2 is true because both sides are equal, hence, it is an infinite solution.
Hope this helps :)