A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview
Answer:
They should interview 1620 adults now.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
In this question:
z wont change, neither will [tex]\sigma[/tex]
We want to increase n as such the margin of error is reduced to one third.
We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So
180*9 = 1620
They should interview 1620 adults now.
hello twngan sus puntos!!
Answer:
2029jjajvdjsjsvdghsjsjbs
Answer:
Answer:
Step-by-step explanation:
Thanks for free points!
a car is 180 inches long. a truck is 75 percent longer than thr car. how long is the truck
Answer:
315
Step-by-step explanation:
180+((75/100)x180)=
180+(3/4 x 180)=
180+135=
315
Answer:
315 inches
Step-by-step explanation:
180 × .75 = 135
A cruise cost £4500 and you have to pay a 30% deposit. What is the deposit and what is the balance.
Answer:
$5350
Step-by-step explanation:
Another challenge is accurately estimating the travel time for each
flight. Having minimal error in these estimations allows airlines to keep
their schedules accurate and passengers happy.
2. An airline estimates that the flight from Washington, D.C., to
Boston takes 1 hour and 27 minutes. Calculate the percent
error for each actual flight time. Show your work.
a. 1 hour and 11 minutes
b. 2 hours
Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?
12 gallons to 36 gallons. Percent change?
I guess it is 200%
Hope it is correct
Answer:
200.00%Step-by-step explanation:
Here i will show you how to calculate the Percent Change from 12 to 36.
Basically, we are trying to find the change from 12 to 36 in terms of percent. We do this in three steps:
1) Find the difference between 12 and 36 as a number.
2) Divide the result from Step 1 by the starting number 12.
3) Multiply the result you got on step two by 100 to get it in terms of percent.
this can be shotenn sown with a simple formulatso, to find the percent change from 12 to 36, we use this formula:
((Y-X)/X)*100 = Percent Change
X is the starting number 12, and Y is the ending number 36 that it changed to. When we enter these numbers into the formula, we get:
((36-12)/12)*100 = 200.00%
there fore you answer is
200.00%Given a population mean of 27.1 with a standard deviation of 8.4 and a sample size of 10, answer these questions:
Part A: What is the standard deviation of the sampling distribution of x? Show your work
Part B: what does the sample size need to be if you want the standard deviation of the sampling distribution of c to be2.8? Show your work.
Answer:
Step-by-step explanation:
The mean of the sampling distribution is equal to the mean of the population. Therefore, we use the standard deviation of the sampling distribution of the means formula.
The standard deviation of the sampling distribution of the means is 2.656.
With a new population standard deviation of 2.8, the sampling size, n, is 9.
What is the area of this figure?
Enter your answer as a decimal
Answer:
176.00 cm^2
Hope you got the answer.
Circle 20% of these lollipops there are 10 lollie pops
Answer:
20% of 10 is 2
Step-by-step explanation:
8) The relationship between a figure and it's scale copy is proportional.
True or False?
Step-by-step explanation:
i think True
99% wrong 1% right
Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?
Answer:
John answered 50 questions.
Step-by-step explanation:
Although five of John's answers were incorrect, 90% of his answers were correct.
This means that 5 is 100 - 90% = 10% of the total number of questions, n. So
[tex]0.1n = 5[/tex]
[tex]n = \frac{5}{0.1}[/tex]
[tex]n = 50[/tex]
John answered 50 questions.
Worl
10.
9. A bottle contains 3.5 liters of water. A second
bottle contains 3,750 milliliters of water. How
many more milliliters are in the larger bottle
than in the smaller bottle?
Math Explain how units of length and
Answer:
250 milliliters
Step-by-step explanation:
3.5 liters = 3.5 × 1000 milliliters=3500milliliters
3750-3500 = 250 milliliters
What is the solution to the inequality below?
−8m ≥ 40
2. m < -5
PLS HELP !!! Dwight has a total of 55 nickels and quarters that total $8.75. How many of each coin
does he have?
Answer:
25 nickle and 30 quarters
Step-by-step explanation:
30 time .25 is 7.5 and 25 times .05 is 1.25 so yea thats it
Answer:
25 nickels 30 quarters
Step-by-step explanation:
solve 5y - 2 = 3y + 14
Answer: y=8
Step-by-step explanation:
Answer:
Y = 8
Step-by-step explanation:
A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?
Answer:
30%
Step-by-step explanation:
Percentage discount
[tex] = \frac{discount}{original \: price} \times 100\% \\ = \frac{5 - 3.50}{5} \times 100\% \\ = 30\%[/tex]
☆ Discount= original price -selling price
Find the values of x and y
help me plz!!
Answer:
24=5y+3y
8y=24
y=3
x+x+9y+5=90
2x+9(3)+5=90
2x=58
x=29
Step-by-step explanation:
What is greater than 525.06 but less than 525.6?
Classify the triangle with the given side lengths as 1,13,13
Answer:
isosceles triangle
Step-by-step explanation:
|x|=5
Solve for x
|x| = -5
Solve for x
Answer:
Step-by-step explanation:
For |x|=5, x can be either 5 or -5.
For |x|=-5, absolute value cannot be negative, so it is no solutions.
Radon is a naturally occurring gas and is the second leading cause of lung cancer in the United States. It comes from the natural breakdown of uranium in the soil and enters buildings through cracks and other holes in the foundations. Found throughout the United States, levels vary considerably from state to state. Several methods can reduce the levels of radon in your home, and the Environmental Protection Agency ecommends using one of these if the measured level in your home is above 4 picocuries per liter. Four readings from Franklin County, Ohio, where the county average is 9.32 picocuries per liter, were 5.2, 13.8, 8.6, and 16.8.
Required:
a. Find the mean step-by-step.
b. Find the standard deviation step-by-step.
Answer:
a) mean = 11.1
b) Standard Deviation = 5.191
Step-by-step explanation:
Given the data in the question;
x = 5.2, 13.8, 8.6, and 16.8
sample n = 4
so;
x ( x - mean)²
5.2 34.81
13.8 7.29
8.6 6.25
16.8 32.49
∑ 44.4 80.84
a) Mean
Mean = total sum of the sample divided by the sample size
mean = ∑x / n
we substitute
mean = 44.4 / 4
mean = 11.1
b)
Standard Deviation is the Square root of variance;
Variance = ∑(x-mean)² / n - 1
we substitute from the above table
Variance = 80.81 / 4 - 1
Variance = 80.81 / 3
Variance = 26.94667
now since Standard Deviation is the Square root of variance;
Standard Deviation = √Variance
Standard Deviation = √26.94667
Standard Deviation = 5.191
What is 8z + x -5 - 9z + 2 written in simplest form
Answer:
Hope this helps :D
Step-by-step explanation:
The simplified form of the given expression is x-z-3.
The given expression is 8z + x -5 - 9z + 2.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is written in simplified form is as follows
Group the like terms
8z - 9z + x -5 + 2
= -z+x-3
= x-z-3
Hence, the simplified form of the given expression is x-z-3.
To learn more about an expression visit;
https://brainly.com/question/28170201.
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10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of polymer B, and 32 fibers of polymer C. a. What is the probability that the sample does not contain any fibers of polymer B
Answer:
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
Step-by-step explanation:
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Fibers are chosen without replacement, which means that we use the hypergeometric distribution.
92 fibers means that [tex]N = 92[/tex]
Sample of 10 means that [tex]n = 10[/tex]
No polymeter B which means that [tex]x = 0[/tex]
17 fibers of polymeter B which means that [tex]k = 17[/tex]
a. What is the probability that the sample does not contain any fibers of polymer B
This is P(X = 0).
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150[/tex]
0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B
The probability that the sample does not contain any fibers of polymer B is 0.123
The given parameters are:
n = 92
A = 43
B = 17
C = 32
The probability of selecting a sample that contains polymer B is:
[tex]p = \frac{17}{92}[/tex]
[tex]p = 0.185[/tex]
Using binomial probability, we have:
[tex]P(x) = ^nC_x * p^x *(1 - p)^{n -x}[/tex]
The probability that a selection of 10 fibers do not contain polymer B is then calculated as:
[tex]P(0) = ^{10}C_0 * 0.185^0 *(1 - 0.185)^{10 -0}[/tex]
This gives
[tex]P(0) = 1 * 1 *(0.815)^{10}[/tex]
Evaluate the product
[tex]P(0) = 0.123[/tex]
Hence, the probability that the sample does not contain any fibers of polymer B is 0.123
Read more about probability at:
https://brainly.com/question/25870256
(1) The ratios 18:3 and 6:1 are equivalent. Why?
Answer:
Because if you take 18:3 and divide both sides by 3, you will get 6:1
Step-by-step explanation:
Because 18:3 divided by 3 on both sides equals 6:1, also 6:1 times 3 on both sides equals 18:3.
Please answer I really need help
Answer:
8
Step-by-step explanation:
its somethings difficult
f(x) =
2x2 + 4x – 3
- 22 – 5x – 2
Find f'(x) and f''(a).
f'(x) =
PENER
-
SURRETH
HER
f''(x) =
THE
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
__
f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Help pls I will give brainliest
Answer:
Least: 14%
Next: 0.15
Next: 1/5
Next: 24%
Greatest: 27/100
Step-by-step explanation:
If you put them all into decimal form they are:
.14, .15, .20, .24, .27
Name:
1. Dane deposited $5,000 in a savings account. The amount in the account after 1, 2, and 3 years is shown
below.
$5,240, $5,480, $5,720, ...
Which function represents the total amount in her account at the end of t years?
A. M(t) = 5000 + 2400
B. M(t) = 5240 +2400
C. M(t) = 5000t + 240
D. M(t) = 5240t + 240
Answer:
I dont kn0w try g00gle searches
Answer:
B. M(t)= 5240+240t
Step-by-step explanation:
cause
como se llama la figura geométrica que tiene 6 caras 12 aristas 8 vertises
Answer:
hexaedro
ahí esta la respuesta