Answer:
n would have to be at least 16577
Step-by-step explanation:
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]1-\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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Out of n randomly selected students he finds that that exactly half attend their home basketball games.
This means that [tex]\pi = 0.5[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
About how large would n have to be to get a margin of error less than 0.01 for p
A sample size of n is needed. n is found when M = 0.01. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.01\sqrt{n} = 2.575*0.5[/tex]
[tex]\sqrt{n} = \frac{2.575*0.5}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2[/tex]
[tex]n = 16576.6[/tex]
Rounding up
n would have to be at least 16577
When the error margin is smaller than 0.01, the value of n will be 16576.6.
What is a confidence interval?The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval.
Given that;
Confidence interval = 99 %
Randomly selected students,n
margin of error,M0.01
The margin of error for the given information is;
[tex]\rm M = z \frac{\sigma(1-\sigma)}{n} \\\\\ 0.01 = 2.575 \frac{0.5(0.5)}{n} \\\\ 0.01 \sqrt n = 2.575 \times 0.5 \\\\ \sqrt n = \frac{2.575 \times 0.5}{0.01} \\\\ n = 16576.6[/tex]
Hence, the value of n for which the margin of error is less than 0.01 will be 16576.6.
To learn more about the confidence interval refer;
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Describe the transformation and identify the domain and range.
f (x) = -(x - 2)^2
f (x) = √x + 1 - 3
Answer:
the domain is the legal values of x, while the range is all the legale values of y
Step-by-step explanation:
Are the triangles similar?
Yes or no please let me know
Answer:
I think they are.
Answer:no
Step-by-step explanation:
The 30 was subtracted by 10 to make 20. Only thing is that 37 - 10 doesn’t equal 24. Also 2 angles inside both triangles are not the same so your answer is no.
14/1 = x/1.99 what is this awnswer
Answer:
x = 27.86 thats the answer
Answer:
0.2786
Step-by-step explanation:
Solution Steps:
The following question is of the type "How much X percent of W", where W is the whole amount and X is the percentage figure or rate".
Let's say that you need to find 14 percent of 1.99. What are the steps?
Step 1: First determine the value of the whole amount. We assume that the whole amount is 1.99.
Step 2: determine the percentage, which is 14.
Step 3: Convert the percentage 14% to its decimal form by dividing 14 into 100 to get the decimal number 0.14: 14100 = 0.14
Notice that dividing into 100 is the same as moving the decimal point two places to the left. 14.0 → 1.40 → 0.14
Step 4: Finally, find the portion by multiplying the decimal form, found in the previous step, by the whole amount: 0.14 x 1.99 = 0.2786 (answer).
The steps above are expressed by the formula: P = W × X% 100. This formula says that: "To find the portion or the part from the whole amount, multiply the whole by the percentage, then divide the result by 100". The symbol % means the percentage expressed in a fraction or multiple of one hundred.
Every five years in August, the population of a certain city is recorded. In 2010, the city had a population
of 7500 people. From 2010 to 2015, the population decreased by 20%. From 2015 to 2020, the
population increased by 55%. What was the city's population in 2020? (3 points)
Answer:
10,000
Step-by-step explanation:
yes
I don’t feel like doing math
Answer:
26.14
Step-by-step explanation: Just subtract.
Alvin is 12 years older than Elga. The sum of their ages is 82. What is Elga's age?
Answer:
Alvin is 47 and Elga is 35
I promise
Please help me with this answer
Answer: I believe it is c 4
Step-by-step explanation:
but im not sure
Find the next three terms in each geometric sequence. -4, 16, -64, ...
Answer:
Step-by-step explanation:
Common ratio r = a₂/a₁ = 16/(-4) = -4
a₄ = a₃(-4) = 256
a₅ = a₄(-4) = -1024
a₆ = a₅(-4) = 4096
Help i need the answer asap
Answer:
B
Step-by-step explanation:
if you graph this you go down 1 and to the right 3, so it would be a negative slope.
Can someone help please
Answer:I got the pic over here
Step-by-step explanation:
Evalute the expression
Answer:
what do we evaluate the picture is all blurry and won't show up
Solve, need an explanation as well. Please
Step-by-step explanation:
.05N + .10D = 1.65
.05 is the value of the nickel and .10 is the value of the dime.
N + D = 21 because you have some combination of them that total 21
solve for N: N = 21- D
substitute into the first equation
0.5 (21-D) + .10D = 1.65
1.05 - .05D + .10D = 1.65
.05D = .6
D = 12 you have 12 dimes
21-12 = 9 nickels
Question 2
2 pts
Alex drives to work each morning, and the trip takes an average of u = 38 minutes. The
distribution of driving times is approximately normal with a standard deviation of a = 5
minutes. For a randomly selected morning, what is the probability that Alex's drive to
work will take between 36 and 40 minutes?
What is equivalent to 4x-2=38
What is the mode of this data on the quiz scores? 100, 98, 95, 92, 88, 85, 80, 75
Answer: 88
The mode is the value that appears most frequently in a data set.
The mode of the given data set will be 88.
What is mode?The mode is the value that appears most often in a set of data values.
We have,
Data set 100, 98, 95, 92, 88, 85, 80, 75.
Frequency 1, 2, 2, 4, 7, 3, 5, 1
So,
As mentioned in the statement above,
Mode is the value that appears most often in a set of data values.
So,
We can see from the given table
i.e.
Frequency of 88 is maximum,
So,
The mode of the given data is 88.
Hence, we can say that the mode of the given data set will be 88.
To know more about mode click here
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What is the perimeter of A B C D? Explain how you found the perimeter.
Answer:
24.3
Step-by-step explanation:
To find the perimeter of any figure you just add the sides together
figure A''B''C''D'' is congruent to figure ABCD therefore they have the same side lengths
so to find the perimeter we add
6+6+6+6.3=24.3
so the perimeter is 24.3
hope this helps!
4.
The distance around the school track is 0.25 mile. It takes Maribeth 5.1 minutes to run 2 laps around the school track. At that pace, how long does it take Marib
A 2.55 minutes
B 7.65 minutes
C 10.2 minutes
20.4 minutes
Answer:
the distance around the school track would be x
Step-by-step explanation:
you would have to divide 0.25 by 5.1 is 20.4
car A and car B starts their journey from mumbai to reach surat. the speed of car A is 3/4 of car b. if car b takes 12 hrs to reach surat how long will car a take?
Answer:
131,000 (0.99)
Step-by-step explanation:
well i just added it up and it takes that much that is at the top
Use the distributive property to write an equivalent expression.
3(k+10m)
Please help! I really need help.
Answer:
i believe it is a polynomial, but I need to see the options available to give you a better answer.
Step-by-step explanation:
trust lol
Round the number 52.810 to the nearest hundredth.
Answer:
rounded to the nearest hundredth it would be 52.81
Answer:
52.81
Step-by-step explanation:
Rounded to nearest hundreth
x/6 - 10 = 2
Show your work.
Answer:
72
Step-by-step explanation:
collect like terms and crossmultiply
Which number produces a rational number when added to 0.25?
___________________________________________________________
Answer:
2/9 produces a rational number when added to 0.25
___________________________________________________________
need help pls geometry question
Answer:
55.94°
Step-by-step explanation:
Reference angle = x
Hyp = 25
Adjacent = 14
Apply CAH:
[tex] Cos(x) = \frac{Adj}{Hyp} [/tex]
[tex] Cos(x) = \frac{14}{25} [/tex]
[tex] x = Cos^{-1}(\frac{14}{25}) [/tex]
x = 55.9442023° ≈ 55.94° (to 2 d.p)
Please
Help me on question 1 :))
9514 1404 393
Answer:
-2
Step-by-step explanation:
The solution to the system is where the lines cross. The x-coordinate of that point is its horizontal distance from the y-axis.
The solution is (x, y) = (-2, 2). The x-coordinate is -2.
PLEASEEE HELP WITH MARK BRAINLIEST!!!
What is the value of k?
Answer:
190 degrees or 1 degree
Step-by-step explanation:
Solve this......(r+2)(2r-4)
Answer:
2r^2-8
Step-by-step explanation:
(r+2)(2r-4)
2r^2-4r+4r-8
Combine like terms.
2r^2-8
Solve for f.
-3/4f = 5/4
F=
Answer:
f = -5/3
Step-by-step explanation:
Answer:
-3/4f = 5/4
f=5/4(-4/3)
f=-5/3
Let me know if this helps!
Use 22/7 for Pi.
What's the area of this circle? It's radius is 70cm.
Answer:
1500 cm²
Step-by-step explanation:
→ State area of circle formula
π × r²
→ Substitute in values
22/7 × 70² = 1500
→ Include units
1500 cm²
solve for X
please answer will give brainliest!!!!!!!!
Answer:
7.9
Step-by-step explanation:
5.8+2.1=7.9