Answer:
A. 384.16
B. 2,401
C. 9,604
D. No
Step-by-step explanation:
Calculation to determine how large a sample should be taken for each desired margin of error
First step is to find σ which represent Population Standard deviation
σ=($50,000-$30,000)/4
σ=$20,000/4
σ = 5,000
Now let calculate how large a sample should be taken for each desired margin of error
Using this formula
n = (Za/2*σ/E)^2
Where,
Za/2=1-0.95/2
Za/2=0.05/2
Za/2=0.025
Z-score 0.025=1.96
Za/2=1.96
σ =5,000
E represent Desired margin of error
Let plug in the formula
a. $500
n = (1.96* 5,000/$500)^2
n=(9,800/$500)^2
n=(19.6)^2
n = 384.16
b. $200
n = (1.96*5,000/200)^2
n=(9,800/$200)^2
n=(49)^2
n = 2,401
c. $100
n = (1.96*5,000/$100)^2
n=(9,800/$100)^2
n=(98)^2
n = 9,604
Therefore how large a sample should be taken for each desired margin of error will be :
A. $500= 384.16
B. $200= 2,401
C. $100= 9,604
d.NO, Based on the information calculation i would NOT recommend trying to obtain the $100 margin of error reason been that it is highly costly compare to $500 margin of error and $200 margin of error.
Factor completely
6z^4 - 14z^3- 40z^2
Answer:
Step-by-step explanation:
2z^2(3z^2 - 7z - 20)
2z^2(3z + 5)(z - 4)
what is 8/3y=5/6x-2 in standard form?
Answer:
6x + 3y = 3
I hope that this helps
Answer:
5x-16y=12
Step-by-step explanation:
Ax+By=C
FIND the LCD (6)
MULITPLY BOTH SIDES BY 6
6(8/3Y)=6(5/6X-2)
A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix. Does each drink mix follow the recipe?
4 cups of fruit juice and 10 cups of water. Yes. No.
0.5 cup of fruit juice and 1 cup of water. Yes. No.
1 cup of fruit juice and 2.5 cups of water. Yes. No.
7 cups of fruit juice and 17 cups of water. Yes. No.
Answer:
A. Yes
B. No
C. Yes
D. No
Step-by-step explanation:
A and C has an equivalent ratio.
B and D do not.
2:5 x2 = 4:10
Because if we multiply 2 on both the 2 cups of fruit juice and the 5 cups of water we'll get
4:10 which is the ratio of A
If we divide both the 2 cups of fruit juice and the 5 cups of water with 2 we'll get...
2 ÷ 2 = 1
5 ÷ 2 = 2.5
1:2.5 is the ratio for C.
So both C and A are correct
The rest, B and D, are not equivalent.
Simplify 10^0r^-11s/3^2 Write your answer using only positive exponents.
Given:
The expression is
[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]
To find:
The simplified answer using only positive exponents.
Solution:
We have,
[tex]\dfrac{10^0r^{-11}s}{3^2}[/tex]
[tex]=\dfrac{(1)r^{-11}s}{9}[/tex]
[tex]=\dfrac{r^{-11}s}{9}[/tex]
Using properties of exponents, we get
[tex]=\dfrac{s}{9r^{11}}[/tex] [tex]\left[\because a^{-n}=\dfrac{1}{a^n}\right][/tex]
Therefore, the required answer is [tex]\dfrac{s}{9r^{11}}[/tex].
The required simplified value is [tex]\frac{s}{9r^{11}}[/tex]
Exponent: Exponent is defined as the method of expressing large numbers in terms of powers.
The given expression is,
[tex]10^0r^{-11}\frac{s}{3^2}[/tex]
The given expression can be simplified as,
[tex]10^0r^{-11}\frac{s}{3^2} =1\times r^{-11}\frac{s}{9} \\=\frac{s}{9r^{11}}[/tex]
So, the simplified value of the given expression is,
[tex]\frac{s}{9r^{11}}[/tex]
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A rectangle has an area of 9 and 5/8 square cm. If the length of the rectangle is 3 and 1/2 cm, what is the width of the rectangle?
Answer:
2 and 3/4 cm
Step-by-step explanation: 2 and 3/4 cm x 3 and 1/2 cm = the answer
Determine if the expressions 100 divided by (25 divided by 5) and (100 divided by 25) divided by 5 are equivalent. If so, tell what property is applied. If not explain why.
Answer:
They aren't equivalent because when using P.E.M.D.A.S you solve what is in the parenthesis first. After you solve what is in the parenthesis the two expressions are completely different.
Step-by-step explanation:
100/(5)=20 (4)/5= .8
The requried results of the two expressions are different (20 and 0.8), the expressions are not equivalent.
Expression 1:
100 ÷ (25 ÷ 5)
Evaluate the expression inside the parentheses.
25 ÷ 5 = 5
Replace the expression inside the parentheses with its result:
100 ÷ 5
Perform the division:
100 ÷ 5 = 20
So, the result of Expression 1 is 20.
Expression 2:
(100 ÷ 25) ÷ 5
Evaluate the expression inside the first set of parentheses.
100 ÷ 25 = 4
Replace the expression inside the first set of parentheses with its result:
4 ÷ 5
Perform the division:
4 ÷ 5 = 0.8
So, the result of Expression 2 is 0.8.
Since the results of the two expressions are different (20 and 0.8), the expressions are not equivalent.
The reason why they are not equivalent is due to the order of operations. In Expression 1, we first divide 25 by 5 and then divide 100 by the result, while in Expression 2, we first divide 100 by 25 and then divide the result by 5.
Learn more about division here:
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Find the measure for < LQR
Answer:
A
Step-by-step explanation:
90 - 12b = - 3b + 63
- 12b + 3b = 63 - 90
- 9b = - 27
- b = - 27/9
-b = -3
b = 3
to find the measure of MQR:
-3*3 + 63 = 54°
to find the measure of LQR:
180 - 54 = 126° + 1 = 127°
====================================================
Work Shown:
Angles MQX and LQR are vertical angles, so they are equal to one another.
angle MQX = angle LQR
-4a+139 = 4a+123
-4a-4a = 123-139
-8a = -16
a = -16/(-8)
a = 2
Use this to find each angle
angle MQX = -4a+139 = -4*2+139 = 131angle LQR = 4a+123 = 4*2+123 = 131We get the same value 131 each time, so this confirms we have the correct value for 'a', and it confirms our answer for angle LQR.
The savings account increased 0.5%
over the last month. If I put $150 in,
how much is in it now?
Answer:
$225
Step-by-step explanation:
150 times 0.5% is 75
150+75= $225
$75
Step-by-step explanation:
If you do 150 x 0.5 you get 75.
1.
a.
- 12.5-(-12)
Noah said the value of this expression is -0.5. Is he correct? Explain or show your reasoning to prove
your answer.
Answer:
Yes he is correct!!!!!!
where do I put the ( so it can equal 40
Answer:
the answer is 4+(2x3)^2
What is the value of x when f (x) = 4
Answer:
B
Step-by-step explanation:
Set up the equation first:
4=x^2+4 (this is because we were told f(x)=4)
Bring the 4 from the x^2 side to the side with a number:
4-4=x^2
Simplify
x^2=0
[tex]\sqrt{0} = 0[/tex]
An item has a listed price of 35$ if the sales tax rate is 3% how much is the sales tax in dollars
Answer:
$1.05
Step-by-step explanation:
3% of 35 = 0.03 × 35 = 1.05
Your digital camera has a 512 megabyte memory card. You take pictures at two resolutions, a low resolution requiring 4 megabytes of memory per photo and a high resolution requiring 8 megabytes of memory per photo. Write an equation to model the amount of each kind of photo you can take.
One possible answer is 8H + 4L = 512
=======================================================
Explanation:
H = number of high resolution photosL = number of low resolution photosH and L are placeholders for positive whole numbers, or 0 could replace either variable.
1 high resolution photo takes up 8 mb of space, so H of them take up 8H megabytes of space.
1 low resolution photo takes up 4 mb of space, so L of them take up 4L megabytes.
Overall, the two types of photos take up 8H+4L megabytes, which is equal to 512 since that's the max capacity. That leads to the equation 8H+4L = 512
----------------------------------
Extra info:
There are other ways to express the equation 8H+4L = 512. We could divide each part by 4 to get 2H+L = 128, but I think this equation loses its descriptive quality in a way. We no longer can see that each high resolution photo takes up 8 megabytes (instead we might mistakenly think only 2 megabytes are used per high resolution photo). A similar mistake may happen with the low resolution photos also.
The equation 2H+L = 128 can be rearranged into L = -2H+128 when solving for L.
a school is selling tickets to a play. on the first day they school sold 5 adult tickets and 10 student tickets for a total of $200. the school collected $105 on the second day by selling 2 adult tickets and 6 student tickets. what is the price of the adult ticket?
Answer:
Adult ticket is $15
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
2 terms
8 and 4c
Step-by-step explanation:
Answer:
2 terms
Step-by-step explanation:
8 & 4c
find y. (geometry) thank you :)
Answer:
32.68346° or 32.7
Step-by-step explanation:
2x+8=80 please help I am in a test rn helppppp!!!!!
Answer:
x=36
Step-by-step explanation:
first subtract 8 into 80, then divide it with two and you will find the answer for x
Answer:
36
Step-by-step explanation:
Start off by subtracting 8 from each side.
Once you do that your equation will now look like this--->2x=72
To get ride of the 2 you have to divide by 2 on each side.
2x=72
/2 /2
x=36
I hope this helps, and have a great day! :)
Help pls I’ll give brainliest to whoever replies first and to whoever replies accurately
Can someone please help as soon as you can!
Question 13. 3/5
Question 14. Option number 2- √(12xy)2
Have a beautiful day!
Solve for q if 5q-21/14=1
Answer:
q=0.5 or 1/2
Step-by-step explanation:
5q-21/14=1
add 21/14 to both sides
5q=2.5
divide both sides by 5
q=0.5 or 1/2
Sara makes and sells bracelets. She bought material for $28.50 and used it all to make 15 bracelets.
Sara used the equation 15 x minus 28.50 = 99 to determine x, the amount she should charge for each bracelet to make a profit of $99. How much should each bracelet cost?
Answer: the bracelet should cost at least $29
Step-by-step explanation:
Answer:
The answer is $8.50 I just took a quiz
Step-by-step explanation:
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game, He actually spends $15. What is the percent error?
PLEASE ANSWER
Answer:
.........................................................................................................................................................................
Step-by-step explanation:
212 tens divided by 10
Answer:
It would be 212
Step-by-step explanation:
212 tens divided by 10 is 21.2 tens.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
There are 212 tens.
And tens is a digital device.
So, 212 tens divided by 10,
=212/10
= 21.2
Therefore, the value is 21.2 tens.
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help please !!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
20 percent
0.12
Find the m<1
69
71
111
86
Answer:
69
Step-by-step explanation:
m1 = 180 - (180 - 39 - 30) = 180 - 111 = 69
HELP FAST FAST FAST FAST PLS ILL LOVE YOU FORVER. Greta is putting a 20 foot fence around her pool. She uses all the border to make four sections that are the same length. Which expression does NOT equal the length of one of these sections in feet?
Answer:
20 over 4 llllllllll
4. Consider the mailbox shown below. It consists of a square prism for the main pole, a rectangular prism for the main box and half a cylinder for top portion. You are going to provide the dimensions for each of these parts. When you provide the dimensions, they must meet the following criteria:
Use these dimensions to determine the overall volume of the mailbox. This should include both the pole, main box and cylindrical top portion. If necessary, use 3.14 for π and round your answer to the nearest hundredths.
Answer:
Too many answers could be correct
Step-by-step explanation:
This one is hard because it will depend on what numbers you pick for each measurement.
-----------------------------------------------------------------------------
if a = 1, b = 2, c = 3, d = 4, and e = 5
find the volume for all the shapes
The post
V = lwh = (1)(1)(2) = 2
The bottom of the mailbox
V = lwh = (3)(4)(5) = 60
The top of the mailbox
V = πr²h = (3)(5)π = 15π = 48.2
Then add them all together:
2 + 60 + 48.2 = 110.2 is the total Volume
how do you solve this
Answer:
ummmmm i dont know
Step-by-step explanation:
PLS ANSWER QUICK
Select the letter of the correct answer.
A baseball has a circumference between 9 and 9.25 inches. What is its radius? Choose the
closest answer
Hint
A Between 1.43 in. and 1.47 in.
B Between 2.86 in. and 2.95 in.
C Between 2.64 in. and 2.71 in.
D Between 1.32 in. and 1.36 in.
Answer:
A Between 1.43 in. and 1.47 in.
Step-by-step explanation:
If the circumference is between 9 and 9.25 inches, and we know that circumference equals 2 * pi * radius, we can solve to find that the radius equals the circumference divided by 2pi. So we get between 1.43 in and 1.47in
HI i need help i will give brainliest to correct answer.
Answer:
Top picture: 1/3
middle picture: 1
bottom picture: 1/2
Step-by-step explanation:
rise over run