Answer:
A sample of 499 is needed.
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 given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this question, we have that:
[tex]\pi = 0.21[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03
We need a sample of n, which is found when [tex]M = 0.03[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.21*0.79}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.21*0.79}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.21*0.79}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.21*0.79}}{0.03})^2[/tex]
[tex]n = 498.81[/tex]
Rounding up
A sample of 499 is needed.
Please answer really important
Answer:
3x16+8x8
Step-by-step explanation:
3 lots of 16
+
8 lots of 8
Answer:
I know that 1 and 3 are correct.
Step-by-step explanation:
3x16+8x8
There are 8 childrens tickets, which each cost 8 dollars so you multiply those.
There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.
3x16+8²
8 squared is just 8x8.
There are three adult tickets, which each cost 16 dollars so you multiply those and then you add the two products together.
im having a hard time plss help
Answer:
112.5÷15=7.5
Step-by-step explanation:
Well we know that the larger number has to go first, so that gets rid of 2, and the answer as 75 is way to high to be dividing by 15!
I hope this helps, and have a great day!
helpppp!!!! asap please and thank you
Answer:
11
Step-by-step explanation:
79 + 90 = 169
180 - 169 = 11
Answer:
x=11°
Step-by-step explanation:
180-90-79=11
Hope this helps!
Please mark me brainliest if you can. :)
Can you help me on this and give an example? Give an example of a problem in which the percent error is greater than 20%, but less than 50%. Explain how you determined the percent error.
9514 1404 393
Answer:
see attached
What is 36 percent of 90
Answer:
57.6
Step-by-step explanation:
think of it as an item that cost $90 and that is on sale for 36%
90 x .36 = 32.4
90 - 32.4 = 57.6
$0.36 off every dollar
Answer:
57.6
Step-by-step explanation:
90 x .36 = 32.4
90 - 32.4 = 57.6
I will give brainiest to whoever answers correctly !!
FIRST ONE TO ANSWER GETS BRAINLIEST
Find the value of x.
Answer:
x = 70 degrees
Step-by-step explanation:
Triangle ABC is an equilateral triangle and O is the center of its inscribed circle. If the area of the circle is 4π cm2, what is the area of triangle ABC?
Answer:
does one side of equilateral triangle is diameter. I will redo it.
Answer:
Area of ABC = 16[tex]\sqrt{2}[/tex]
Step-by-step explanation:
if Area of Circle is π·r², which in this case equals 4π, then the radius is 2; this gives us the height of the triangle as 4
since it's a 60-60-60 triangle, the height perpendicular to base creates a 30-60-90 triangle, whose sides are in the ratio of 1 : √2 : 2
therefore the entire base is 4√2 + 4√2 or 8√2
A (ΔABC) = 1/2(4) · 8√2 = 16√2
Given m||n, find the value of x
Answer:
The value of x is 117.
Step-by-step explanation:
[tex]180 \\ \frac{ - 63}{117} [/tex]
14 of 56 cars reived oil change what % of cars did not
Answer:
75% of the car did not receive a oil change
The dot plot represents an order of varying shirt sizes.
A number line going from 8 to 26. 0 dots are above 8. 1 dot is above 10. 3 dots are above 12. 3 dots are above 14. 5 dots are above 16. 4 dots are above 18. 2 dots are above 20. 1 dot is above 22. 1 dot is above 24. 0 dots are above 26.
Which histogram represents the same data?
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 11 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.
A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 8 shirts are size 14 to 16. 6 shirts are size 18 to 20. 2 shirts are size 22 to 24.
A number line going from 1 to 13. 0 dots are above 1. 2 dots are above 2. 1 dot is above 3. 0 dots are above 4. 0 dots are above 5. 0 dots are above 6. 2 dots are above 7. 3 dots are above 8. 0 dots are above 9. 0 dots are above 10. 4 dots are above 11. 3. dots are above 12. 0 dots are above 13.
The histogram that represents the same data as those represented by the dot plot is: third graph.
What are Dot Plots?Dot plots involves the use of dots to represent each data point in a given data distribution.
The data represented by the third histogram perfectly represents the data in the dot plots because the frequency of each group represented by the bins in the histogram tallies with those we have that are represented by each dot in the dot plot.
Therefore, the histogram that represents the same data as those represented by the dot plot is: third graph.
Learn more about dot plots on:
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A poll conducted a week before the school election to the student council showed that Janice would win with 63% of the vote. The margin of error was 14%. If Janice needs to receive at least half the votes to win the election, can we be confident of Janice's victory?
OPTIONS:
No, because she could receive as low as 14% of the vote.
No, because she could receive as low as 49% of the vote.
Yes, because she could receive as much as 77% of the vote.
Yes, because the poll stated that she will win with 63% of the vote.
Answer:
No, because she could receive as low as 49% of the vote.
Step-by-step explanation:
Given that:
Poll suggestion = 63%
Margin of Error (E) = 14%
This means that; the range or interval in which the vote obtained could fall would be ;
Poll suggestion ± margin of Error
63% ± 14%
Lower bound attainable = (63% - 14%) = 49%
Upper bound attainable = (63% + 14%) = 77%
Since, winning actually requires obtaining atleast half of the votes (that is 50%) ; and suggested poll suggested votes could fall as low as 49% ; then Janice can't be so confident of victory.
Solve the compound inequality 4x – 7 > 5 or 5x + 4 ≤ –6. Question 18 options: A) –2 ≤ x 3 C) x 3
Answer:
x>3 or x≤-2
Step-by-step explanation:
4x-7>5 or 5x+4≤-6
4x>5+7 or 5x≤-6-4
x>3 or x≤-2
Since someone said my work to easy iam keep it cmon on some gansta
It was estimated that 800 people would attend the play, but 752 actually attended. what is the percent error?
Answer:
94 percent
Step-by-step explanation:
Find the missing angle (?) and show your work.
Answer:
D)
Step-by-step explanation:
1. the rule: m∠EFG *2=m~EFG (the missing angle)
2. according to the rule above the required missing angle is:
m~EFG=2*118°=236°.
Suppose that the value of a stock varies each day from $10.82 to $25.17 with a uniform distribution. Find the third quartile, i.e., 75% of all days the stock is below what value
Answer: Third quartile =$21.58
Step-by-step explanation:
Let x be value of a stock .
For uniform distribution,
probability density function = [tex]\dfrac{1}{b-a}=\dfrac{1}{25.17-10.82}=\dfrac1{14.35}=\dfrac{100}{1435}[/tex]
Let a be the stock value such that P(x<a) =75% or 0.75
[tex]\Rightarrow\ \int ^{a}_{10.82}f(x)\ dx=0.75\\\\\Rightarrow\ \int ^{a}_{10.82}\dfrac{100}{1435}\ dx=0.75\\\\\Rightarrow\dfrac{100}{1435}[x]^{a}_{10.82}=0.75\\\\\Rightarrow \dfrac{100}{1435}(a-10.82)=0.75\\\\\Rightarrow a-10.82=0.75\times\dfrac{1435}{100}\\\\\Rightarrow a-10.82=10.7625\\\\\Rightarrow a= 10.7625+10.82= $$21.5825\approx $$21.58[/tex]
Hence, 75% of all days the stock is below $21.58 or Third quartile =$21.58 .
2x=16-8y and x+4y=25 solve each system of equations by substitution
please show each step be very specific !!!
help please what type of angle is this, and what is x?
Answer:
50 Pick me brainliest
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
These angles are vertical angles. Vertical angles are congruent to each other. Therefore, 3x° = (2x+50)°
Subtract 2x from each side.
x=50
160138 rounded to the nearest 1000
Answer:
161000 i guess
Step-by-step explanation:
im not sure
Larry Mitchell invested part of his $25,000 advance at 5% annual simple interest and the rest at 9% annual simple interest. If his total yearly interest from both accounts was $1,850, find the amount invested at each rate.
Answer:
The answer is D
Step-by-step explanation:
d
if someone does this I'll give you 5 stars and follow you!
Answer:
The picture is really blurry, i can't see the questions
which expression is equivalent to (5^-2) (5^-1)
Answer:
C) [tex]\frac{1}{125}[/tex]
Step-by-step explanation:
on edg
What is 254212610 rounded to nearest million
Answer:
Step-by-step explanation:
Starting from the right, put this into groups of three so you can see for sure where a million is.
254 212 610
A million is right where the 4 is. So use the hundred thousands (the second 2) to round to the nearest million. Since 2 is less than 5, it rounds like this.
254 000 000
Use these tables to answer questions 1 – 3. The tables give the prices of kayak rentals from two different companies.
Which type of relationship does Raging River Kayaks have?
Answer:
For the raging river you multiply
X * 9 = Y
And for paddlers the equation is
X + 40 = Y
A theater has 124 rows of seats with 56 seats in each row how many seats are in the theater
Answer:
6944
Step-by-step explanation:
why is 16 : 12 and 40 : 30 equivalent?
Answer: they’re both in the 4:3 ratio
Step-by-step explanation:
4:3 = 8:6 = 12:9 = 16:12 = 20:15 = 24:18 = 28:21 = 32:24 = 36:27 = 40:30, etc
Consider the geometric sequence
8,4,2,1,...
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
Answer:
Step-by-step explanation:
You haven't provided functions to choose from!
The geometrical series is a series of numbers. The nth term of the series is [8× 0.5⁽ⁿ⁻¹⁾].
What is geometrical series?The geometrical series is a series of numbers where the ratio of any two consecutive numbers is constant.
In a geometric series, r is the ratio between any two consecutive terms, therefore, the ratio of these terms can be written as,
r = (4/8) = (1/2)
Also, a₁ is the first term of the series, therefore, the first term of the series will be 8.
Thus, the nth term of this series will be equal to,
[tex]n^{th} = a_1 \times r^{(n-1)}\\\\n^{th} = 8 \times (\dfrac{1}{2})^{(n-1)}[/tex]
Hence, the nth term of the series is [8× 0.5⁽ⁿ⁻¹⁾].
Learn more about Geometric Series:
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2. A 12ft tall painting next to a bookshelf casts a 20 foot shadow. If the
book shelf casts a shadow that is 8ft long then how tall is it?
Answer:32
Step-by-step explanation:
-13=r/9+8 Solve for R
Answer:
r=-198
the screen shot below
