Answer:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that σ=21 and determine the required sample size.
A sample size of n is needed.
n is found when M = 6. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]
[tex]6\sqrt{n} = 2.575*21[/tex]
Dividing both sides by 3
[tex]\sqrt{n}= 2.575*3.5[/tex]
[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]
[tex]n = 81.2[/tex]
Rounding up:
The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.
Jillian tracks her progress on her spelling tests over a period of four weeks. Which list shows her scores from greatest to least
Weeks 1,3,2,4
Weeks 3,1,4,2
Weeks 3,1,2,4
Weeks 1,3,4,2
Answer: B
Step-by-step explanation:
The pair of equations that can be used to find x and y are:
x + y = 62
(1.02)x = 7
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
The form of the pair of equations would be:
hours worked last week + hours worked this week = total hours worked both weeks equation 1
(1 + percent increase/100) x hours worked last week = hours worked this week equation 2
x + y = 62 equation 1
(1 + 20/100) ×x = y
(1.02)x = 7 equation 2
The two equations can be solved using either of these three methods:
elimination method
substitution method
graph method
To learn more about mathematical equations, please check: brainly.com/question/26427570
#SPJ2
complete question:
Jillian worked 62 hours this week and last week. She worked x hours last week and y hours this week. She worked 20% more hours this week than last week. What pair of equations can be used to find x and y?
The letters of the words "possible outcomes" are put in a bag. Find the probability of picking the letter p.
Answer: 1/16
Step-by-step explanation:
total number of letters in word =16
probability of p=?
in given words p is only used one time so
1/16 is the probability
Find the surface area of the regular pyramid to the nearest tenth
Answer:
668.17
Step-by-step explanation:
solve by regrouping 2x2+6x+54+18x
Answer:
I believe the answer is=2x2+342.
The letters in VIRGINIA are each written on a separate card. Mark picks one card at random, keeps it, and then picks a second card. What is the probability that he picks an "I" and then picks a consonant?
3/14
3/16
1/4
2/7
Answer:
okay I would say 1/4
Step-by-step explanation:
the originally eight letters, and then you take one out so there's seven and then your chances of getting the I are two so that's 2/7. then there's only one consonant the R so 1/4.
Simplify: -5 + 3a +
6 - 4a.
Answer:
-a+11
Step-by-step explanation:
hard to explain. but should be correct
What is 2x-3y=-1
y=x-1
Answer: (4, 3)
Step-by-step explanation:
Let's use substitution.
So for y in the first equation we will substitute the expression for y in the second.
2x - 3(x-1) = -1
2x -3x + 3 = -1
-1x + 3 = -1
-3 -3
-1x = -4
-1x / -1 = -4 / -1
x = 4
Now plug in x for the second equation
y = 4 - 1
y = 3
Now check it using the first equation:
2(4) - 3(3) = -1
8 - 9 = -1
-1 = -1
It's true so it's correct
5.5 as a mixed number.
Answer: 5 1/2
Step-by-step explanation:
You keep your whole number which is five, then you see that the other 5 is in the tenths place in the decimal (5.5) so you put 5 over 10 and combine the fraction (5/10) with the whole number (5) and that is 5 5/10. But you see that it is not simplified so you simplify and get 5 1/2. I hope this helps :)
Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This
week he sold a car for $35,450.
A) How much commission did he earn this week?
B) What did he earn in TOTAL this week?
(urgent pls show work)
Answer:
Step-by-step explanation:
Convert the decimal 0.07 to a fraction.
Answer:
7/100
Step-by-step explanation:
two decimal places so 100
Write the standard equation of a circle with its center at the origin and radius 3.
Answer:
9 = x^2+y^2
Step-by-step explanation:
3^2 = (x-0)^2 + (y-0)^2
9 = x^2+y^2
Need help quick please
Answer:
line 2
Step-by-step explanation:
on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +
Please help, test due in 1 hour! I will give brainliest!
Any tips for a gaming addicted brother? :-/
Answer:
Step-by-step explanation:
I would take his phone for a bit and also reduce screen time to 6 hours a week at MOST. It would help a lot.
write an explicit formula for an the nth term of sequence 100,20,4
Answer:
a_3=4
Step-by-step explanation:
a1 = 100
r = 1/5
an = 100 (1/5)^(n - 1)
so we now have the answer for a_3
a_3 = 100 * (1/5)^(3 - 1)
a_3 = 100 * (1/5)^2
a_3 = 100 * 1/25
a_3 = 4
i believe this is it, although i'm not entirely sure
good luck :)
**please let me know if this was wrong/not what you were looking for or both**
have a nice day!
Find the number to add to x^2+14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.
Answer:
The number is 13[tex] {x}^{2} + 14x + 13 \\ (x + 13)(x + 1)[/tex]
Step-by-step explanation:
I hope that is useful for you :)
Answer:
Step-by-step explanation:
What is the greatest common factor of 6, 42, and 30?
Answer:
6
Step-by-step explanation:
I found that the greatest common factor for those numbers is 6
What is HK?............help me answer this
Answer
C
Step-by-step explanation:
The decimal number 2.0159793 when rounded to 3 significant figures is?
Answer:
2.02 may be I thinks tell me if it's right
Juan Rios rented a car for a 3-day weekend. The
car cost $35 per day plus $0.15 per mile. Juan
drove the car 425 miles and spent $53.75 on gas.
What was Juan's total cost? What was the cost
per mile?
Answer:
17000
Step-by-step explanation:
I hope this helps:)
____________________
Answer:
the equation for that line would be y=0
Step-by-step explanation:
The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)
A number, f is positive
Answer:
Not enough information.
Step-by-step explanation:
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
C closed
Step-by-step explanation:
the rule for converting yards to feet
Answer:
1 yard=3 feet
Step-by-step explanation:
If it needs more, then 3 feet=36in.
Using the graph, determine the coordinates of the vertex of the parabola.
Heeeeeelp! I’m literally so behind
Answer:
That would be 9 my good sir ( or ma'am )
Step-by-step explanation:
basicly round the 61 so that there would not be a remainder and divide 54 by 6 you will get 9, so therefore the same case is for 540 by 60.
Have a nice day
A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:
BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT
BTW, BWT
TWB, TBW, BTW, BWT, WBT, WTB
TWB, BTW, WBT
If you don't answer, I'll report you!
Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...
Answer:
44x + 54
Step-by-step explanation:
The nth term of an arithmetic sequence is given by :
Tn = a + (n - 1)d
d = common difference = T2 - T1
d = T2 - T1
a = first term = - x + 9
d = 4x + 14 - (-x + 9)
d = 4x + 14 + x - 9
d = 5x + 5
The 10th term:
T(10) = (-x + 9) + (10 - 1)*(5x + 5)
T(10) = - x + 9 + 9(5x + 5)
T(10) = - x + 9 + 45x + 45
T(10) = 44x + 54
Hence, the 10th term is 44x + 54
giving out BRAINLIEST ANSWER HELP ME OUT PLEASE !!
Answer:
y = 8 !!! hope this helps !!
Step-by-step explanation:
whats x value please help
Answer:Step-by-step explanation:
x+46=90
x=90-46
x=44°