The researcher needs at least 67 participants in the sample size to adequately conduct a study to estimate the population mean to within 5 points at a 90% level of confidence. The sample size is an essential part of any research study. The sample size is the number of participants or observations in the study.
To estimate the sample size, we should use the following formula:
N = (Z² * s²) / E²
Where: N = Sample Size, Z = Z-score (z-score for a 90% confidence level is 1.645), s = Standard deviation, E = Margin of error (We have 5 points or 0.05 in decimal form)
Now, we will calculate the Standard deviation which is the square root of the variance. The variance is obtained by dividing the population range by 4. It's 80/4 = 20s = √20 = 4.47
Plugging in these values to the above formula: N = (1.645² * 4.47²) / 0.05²
N = 66.7 ≈ 67
Therefore, the researcher needs at least 67 participants in the sample size to adequately conduct a study to estimate the population mean to within 5 points at a 90% level of confidence. The sample size is an essential part of any research study. The sample size is the number of participants or observations in the study. A sample is taken from the population because it's usually impossible to collect data from the entire population. The sample size must be adequately determined to produce accurate results and avoid errors that may affect the study's validity. A larger sample size is more representative of the population, and it minimizes the effect of random errors. However, a sample that is too large can lead to waste of resources, time, and money. Therefore, researchers determine the sample size required based on various factors, including the population's size, variability of the data, the level of confidence desired, and the margin of error. The formula for calculating the sample size is N = (Z² * s²) / E², where N is the sample size, Z is the Z-score, s is the standard deviation, and E is the margin of error.
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1. Tickets to the school musical cost $3 for students and $5 for
nonstudents. For Friday night's performance, the total ticket sales were
$1790. The number of student tickets sold was ioo less than twice the number of nonstudent tickets sold.
a. Write a system of equations to represent this situation. Tell what the variables represent.
b. Solve the system of equations, How many student tickets were sold? How many nonstudent tickets were sold?
Answer:
Your answer.
3x + 5y = 1790
y= 2x -100
X= 176.15
Y= 252.3
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
is y=1-x to the second power linear or nonlinear
Answer:
Non Linear
Step-by-step explanation:
Its non-linear because when you put X to the second power, it will change the function into a quadratic function
Eric and Kelsey each work after school to earn money. Eric charges $10, plus an additional $4 per hour to babysit. Kelsey charges $15, plus an additional $3 per hour to rake. Eric and Kelsey work the same number of hours. Which system of equations can be used to determine how many hours, x, they need to work to earn the same amount of money, y?
Answer:
the option 3 or c is correct
Kira drove 522 miles in 9 hours.
At the same rate, how many miles would she drive in 7 hours?
GIven:522 miles in 9 hours.
So if we divide 522 by 9 we get that Kira drives 58 miles per hour.
Now in 7 hours Kira just drives 7 times that which means Kira drives.
58*7=406 miles
Hope this helped!
Step-by-step explanation:
Distance travelled in 9 hours = 522 miles
Distance travelled in 1 hour = 522/9 = 58 miles
Distance travelled in 7 hours = 7 * 58 = 406 miles
Hope it will help :)
 this is the one i need help with please !! honors algebra 2 , 10th grade
Answer:
g(g(x)=25x
Step-by-step explanation:
g(g(x) is a composition function. Think of g(x) as input. That means whatever g(x) equal that will be inside of the function g(x)
g(x) equal 5x so 5x will be the equal value going into the function g(x)
[tex]g(x) = 5x[/tex]
[tex]g(x) = 5(5x)[/tex]
Which equal 25x
So I need help again so here is the question “My mom is baking cookies for a party. The recipe requires 2 eggs for every 4
cups of sugar To have enough cookies for the party, she determined she would
need 12 eggs. If my mom has 25 cups of sugar in the pantry, does she heve
enough sugar to make the cookies”
Answer:
She has enough sugar.
Step-by-step explanation:
Let x = cups of sugar needed
eggs/cups of sugar = 2/4 = 1/2
12 eggs/x = 1/2
24 = x
Since she as 25 cups available and she needs 24 cups, it looks like she has enough sugar with 1 cup left over. I hope she is making chocolate chip cookies.
Write a rule for the linear function in the table.
A.
y = 1.2x + 2.4
B.
y = –1.2x – 2.4
C.
y = 1.2x – 2.4
D.
y = –1.2x + 2.4
Answer:
the answer is B
Step-by-step explanation:
the y-intercept is -2.4 and the y-values were descending and b was the only that has a y-in. of -2.4 and a negative slope (-1.2x)
Answer: Gradpoint answer
B. y = –1.2x – 2.4
Step-by-step explanation: My answer
A. y = 1.2x + 2.4
PLSSSS HELPPP
I NEED TO FINISH THIS ASSIGNMENT!!!
WILL MARK BRAINLIEST
He has a cow and a buffalo on his farm. The two animals had cost him Rs 1800 and Rs 2400 respectively. Selling the cow will fetch him a profit of 10% whereas on the buffalo he will suffer a loss of 5%
What is the selling price of the buffalo????
WITH WORKING
Answer:
the two animals had cot him R 18000 and Re 2400 respectively
Please help on both! Will give brainliest!!
Ted and Mary ordered meals costing a total of $30, including tax. They left an 18% tip. How much did they spend in all?
A $48.00
B $39.00
C $36.40
D $35.40
Answer:
D $35.40
Step-by-step explanation:
We need to find 18% of $30 and then add it to the $30 total.
To find a percent of a number, change the percent to a decimal by moving the decimal point two places to the left. Then multiply it by the number.
18% of $30 =
= 18% * $30
= 0.18 * $30
= $5.40
The tip was $5.40. Now we add the tip to the total.
$30 + $5.40 = $35.40
Answer: D $35.40
The quantity of sugar and milk in each cup of tea
can be represented as an ordered pair.
A. True
B. False
SUBMIT
It takes Diego 130 of an hour to complete a lap on a circular bike track. The track is 15 mile long. What is Diego’s bike speed?
Answer:
8 2/3 per mile
Step-by-step explanation:
130 / 15 = 8 2/3
Hope that helps!
Each pencil eraser at the store cost $0.67 including tax. If Elijah pays $10.00 and receives $1.96 in change, how many erasers did he buy
ANSWERS:
A. 12
B. 8
C. 6
D. 11
Answer:
12 erasers
Step-by-step explanation:
So first you need to take that $10.00 and subtract $1.96, you should get $8.04, after that you need to divide it by $0.67, which should get 12 erasers.
What is the arc length of a circle that has a 6inch radius and a central angle that is 65 degrees? Use 3.14 for pi and round your answer to the nearest hundredth
1) 0.65 Inch
2) 1.13 Inch
3) 6.80 Inch
4) 390.01
PLEASE HELP!!! ILL MARK BRAINLIEST
Answer:
6.80 inch
Step-by-step explanation:
I really need help. What would be the slope-intercept equation?
Stock value per share in a certain company has been steadily decreasing by $3.71 per share per year for the last ten years. Ten years ago the value of the stock was $147.25. Let y be the value of the stock x years after it begins to decline.
Answer:
y = -3.71x + 147.25
Step-by-step explanation:
Ms. Alonzo ordered 4,000 markers for her store. Only 1/10 of them arrived. How many markers did she receive?
Answer:
400 markers.
Step-by-step explanation:
4,000 × ¹/10 = 400.
.Answer:
To calculate a/b of some number c, where a, b, and c are any number, we do the following: a/b x c
Step-by-step explanation:
1/10 x 4,000 = 4,000/10
400 x 10
10
= 400
= 4 x 100
= 4 x 10 2
400 = 4 x 10 2 markers
Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
You can choose
A. Hunger Games
B. Men in Black
C. Classic Horror Movies
D. Jurassic Park
OR!!
Awnser With your own suggestion!!!!!!!
Answer:
E. HELLO
Step-by-step explanation:
‼️ PLEASEEEE HELPP‼️
Answer:
I think the answer is 17
Step-by-step explanation:
I think its 17 because i watched a video and it says the midline should be half of the bottom.
I rlly hope this would help
Help pls ^picture^
I really need this quick
Answer:
[tex]4.4*10^9[/tex]
Step-by-step explanation:
[tex]8.8(10^6)(5(10^2))\\=8800000*500\\=8.8*1000000*5*100\\=(8.8*5)*(1000000*100)\\=44*100000000\\=4400000000\\4400000000=4.4*10^9[/tex]
If 91 is 1% of a number, what is that number? *
Answer:
The Answer is 1900.
Answer:
9100
Step-by-step explanation:
multiply the one percent by 100 to get the 100 percent
The value of a car is $18,000 and depreciating at a rate of 12% per year. Use
an exponential function to find the value of the car after 10 years.
$5012.02 is the value of the car after 10 years
How to use the exponential function to find the value of the car after 10 years?Depreciation is the reduction in the value of an asset over time
Given that: the present value of a car is $18,000 and it's depreciating at a rate of 12% per year
The exponential function is given as
Y= a ( 1 - r )^t
where a = present value of a car, r = depreciation rate and t = number of years
Y = 18,000 (1-0.12)¹⁰
Y = $ 5012.02
Therefore, the value of the car after 10 years is $ 5012.02
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Kayla earns 5% commission on
all jewelry sales. How much
would she earn if she sold $725
worth of jewelry?
Answer:
725 x0.05=36.25
Step-by-step explanation:
when finding percentage move the decimal over two places, making 5 0.05
Is my answer right? I don’t really know this subject very well
First let's review how to find the surface area of a rectangular prism. Since the opposite faces have the same area, we just need to find one of each pair of faces and multiply the result by 2.
One face in each pairs adds up to 6*4+2*4+2*6=24+8+12=44
Now we just need to multiply this by 2!
44*2=88 cm^2
I really hope my explanation helped, if there are any more question about this please ask me in the comments I will answer them.
.....................
Answer:
the picture is blurry on my screen can u pls insert another picture
Step-by-step explanation:
Please help I will give brainlist ❤️
PLZ HELP ill mark brainlist
Answer:
x is 60 and y is 50
hope it helped have a good day mate
Need the answer/step by step explanation
Answer:
8 weeks
Step-by-step explanation:
m=12+0.5w
Replace the m with the 16 and solve
16=12+0.5w
4=0.5w
8=w
Pls help middle school math!!
En un hotel hay 67 habitaciones entre dobles y sencillas, si el número de camas es 92. ¿Cuántas habitaciones hay de cada tipo?
Answer:
25 dobles y 42 sencillas
Step-by-step explanation:
25 x 2 = 50 camas + 42 = 92
y 25 habitaciones dobles + 42 sencillas = 67
geometry// please help!