In order to find the sample size required for the width of a 99%CI to be at most 0.06 irrespective of the value of (beta), we can use the given information, which is: "A poll reported that 55% of 2341 American adults surveyed said they have watched digitally streamed TV programming on some type of device.
We know that 55% of 2341 American adults surveyed have watched digitally streamed TV programming on some type of device. Using this information, we can calculate the sample size required for the width of a 99%CI to be at most 0.06 irrespective of the value of (beta).Here, we can use the formula: n = [Z_{(alpha/2)} / E]^2 * P * QWhere,n = sample sizeZ_{(alpha/2)} = the z-score corresponding to the level of significance alpha/2E = margin of errorP = estimated proportion of successesQ = estimated proportion of failures1. First, let's find P, the estimated proportion of successes:P = 0.55 (given in the question)Q = 1 - P = 1 - 0.55 = 0.45Now, let's plug in the values into the formula: n = [Z_{(alpha/2)} / E]^2 * P * Qn = [Z_{(0.005)} / 0.06]^2 * 0.55 * 0.45Here, we have assumed Z_{(alpha/2)} = Z_{(0.005)}, which is the z-score corresponding to the level of significance alpha/2 for a standard normal distribution.2.
Now, we can solve for n by substituting Z_{(0.005)} = 2.58 and simplifying:n = [2.58 / 0.06]^2 * 0.55 * 0.45n = 771.34...We can round this up to the nearest whole number to get the required sample size:n = 772Therefore, a sample size of at least 772 would be required for the width of a 99%CI to be at most 0.06 irrespective of the value of (beta).More than 100 words:In conclusion, the question requires us to find the sample size required for the width of a 99%CI to be at most 0.06 irrespective of the value of (beta). We are given information about a poll that reports that 55% of 2341 American adults surveyed have watched digitally streamed TV programming on some type of device.Using this information, we can apply the formula for finding the required sample size and solve for n. After plugging in the given values, we get a sample size of 772. Therefore, a sample size of at least 772 would be required for the width of a 99%CI to be at most 0.06 irrespective of the value of (beta).It's important to have a sufficiently large sample size to ensure that our estimate of the population parameter is accurate. In this case, a sample size of 772 should be large enough to provide a reasonable estimate of the proportion of American adults who have watched digitally streamed TV programming on some type of device. However, it's worth noting that other factors, such as sampling method and response bias, can also affect the accuracy of our estimate.
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Jamie is fencing using a Sabre that is 34 in long if he is standing 23 in from his opponent what angle should he use to strike down at his opponent
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Andrew 720 seconds take shower and 420 seconds eating breakfast how many minutes does it take Andrew take a shower and eat breakfast
Answer:
Total time = 19 minutes.
Step-by-step explanation:
Given the following data;
Time to shower = 720 seconds
Time to eat breakfast = 420 seconds
To find the total time in minutes;
Total time = 720 + 420
Total time = 1140 seconds
We know that 60 seconds equals a minute.
Total time = 1140/60
Total time = 19 minutes.
Therefore, it will take Andrew 19 minutes to take a shower and eat breakfast.
women today account for 17% of jockeys in Victoria Australia if there are 75 jockeys on a track how meny whould be girls
Help will give b if correct
Answer:
0.28
Step-by-step explanation:
28 divided by 100=0.28
Answer:0.28m
Step-by-step explanation:
A sample of 76 body temperatures has a mean of 98.7. Assume that o is known to be 0.5 °F. Use a 0.05 significance level to test the claim that the mean body temperature of the population is equal to 98.5 °F, as is commonly believed. What is the value of test statistic for this testing?
The value of the test statistic in the scenario given above is 3.487
The test statistic can be calculated as follows:
t = (mean - hypothesized mean) / (standard deviation / √(sample size))
mean = 98.7
hypothesized mean = 98.5
standard deviation = 0.5
sample size = 76
Plugging these values into the formula, we get the following test statistic:
t = (98.7 - 98.5) / (0.5 / √(76)) = 3.487
Therefore, the value of the test statistic in the above scenario is 3.487
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A quick quiz consists of 4 multiple choice problems, each of which has 6 answers, only one of which is correct. If you make random guesses on all 4 problems (a) What is the probability that all 4 of your answers are incorrect? (use four decimals) answer: (b) What is the probability that all 4 of your answers are correct? (use four decimals) answer:
(a) The probability that all 4 of your answers are incorrect is 0.4823.
The probability of getting one question wrong is 5/6, so the probability of getting all four questions incorrect is (5/6)^4 = 0.4823 (rounded to four decimals).
(b) The probability that all 4 of your answers are correct is 0.0008.
The probability of getting one question correct is 1/6, so the probability of getting all four questions correct is (1/6)^4 = 0.0008 (rounded to four decimals).
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The distance AB rounded to the nearest tenth = [ ? ]
Answer:
3.6
Step-by-step explanation:
a² + b² = c²
a = 3
b = 2
3² + 2² = c²
13 = c²
c = 3.6
Work out the size of angle BCD
Answer:
sin62=BD/AB
BD=Sin62×AB
BD=Sin62×15
BD=13.24
ALSO,
Tan C = BD/BC
Tan C = 13.24/24
Tan C = 5.51 / 10
C = Tan^-1 ( 5.51 / 10 )
Answer:
∠BCD = 29°
Step-by-step explanation:
sin 62 = BD/15
0.8829 = BD/15
BD = 13.24
tan ∠BCD = 13.24/24 = 0.5517
∠BCD = 29°
XYZ is evaluating a project that would require the purchase of a piece of equipment for $540,000 today. During year 1 , the project is expected to have relevant revenue of $784,000, relevant costs of $208,000, and relevant depreciation of $130,000. XYZ would need to borrow $540,000 today to pay for the equipment and would need to make an interest payment of $21,000 to the bank in 1 year. Relevant net income for the project in year 1 is expected to be $345,000. What is the tax rate expected to be in year 1? Selected Answer: A rate less than 20.29% or a rate greater than 50.03% Answers: A rate equal to or greater than 36.19% but less than 50.03% A rate less than 20.29% or a rate greater than 50.03% A rate equal to or greater than 26.52% but less than 36.19% A rate equal to or greater than 23.21% but less than 26.52% A rate equal to or greater than 20.29% but less than 23.21%
Based on the calculated tax rate, we can conclude that the correct answer is: A rate equal to or greater than 36.19% but less than 50.03%
How to determine the tax rate expected to be in year 1The relevant net income is given as $345,000. This represents the taxable income before considering any tax deductions or exemptions.
To calculate the tax expense, we need to know the tax rate. Let's assume the tax rate as 'x'.
Tax Expense = Taxable Income * Tax Rate
Given:
Relevant Net Income = $345,000
Since the tax expense is not directly provided, we can rearrange the formula to solve for the tax rate:
Tax Rate = Tax Expense / Taxable Income
From the given information, we can calculate the tax expense:
Tax Expense = Relevant Net Income - Relevant Depreciation
Tax Expense = $345,000 - $130,000 = $215,000
Now we can calculate the tax rate:
Tax Rate = Tax Expense / Relevant Net Income
Tax Rate = $215,000 / $345,000
Tax Rate ≈ 0.6231884 or 62.32% (rounded to two decimal places)
Based on the calculated tax rate, we can conclude that the correct answer is:
A rate equal to or greater than 36.19% but less than 50.03%
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I REALLY NEED HELP!! 50 POINTS
Find a point on the line and the line's slope.
y = 3 + 3 ( x + 4 )
point on the line: (____,____)
slope: _____
Answer:
Point on the line: (0, 15)
Slope: 3
Step-by-step explanation:
Step 1: Put the equation in slope-intercept form
The slope-intercept form is written like this: y = mx + b
m = slope
b = y-intercept
1. y = 3 + 3(x + 4) → y = 3x + 15
Step 2: Retrieve the values from the equation
y-intercept = 15
slope = 3
* You have a dog that can run 5 km/hr. How fast can she run in mi/hr? (i.e. convert the rate to miles per hour) (1.6 km=1mi) DO NOT JUST TYPE THIS INTO A CONVERTER ONLINE. YOU WILL NOT GET THE ANSWER RIGHT. Express your answer as decimal, rounded to the nearest thousandth (three decimal places) in mi/hr - no spaces EXAMPLE: 78.345mi/hr
The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.
To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.
However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.
Therefore, the dog can run at approximately 3.125 mi/hr.
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Erica is considering moving into a one-bedroom apartment in Hyde Park. The
apartment has a rent of $960 and has the following fees.
- Application fee: 6.5% of one month's rent
Credit application fee: $15
- Security deposit: 2 month's rent
- Lease protection: the last month's rent
Broker's fee: 7% of one year's rent
- First month's rent
How much is Erica expected to pay up front in order to move into this apartment?
PLEASE PLEASE HELP
Tom says he is comparing banks to see what interest rates they offer on savings accounts. Explain how Tom should use the information he gets to decide which bank to open a savings account with.
Tom should choose the bank that gives the highest interest rate on savings accounts
What is interest rate?The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.
A savings account or certificate of deposit earnings at a bank or credit union may also be subject to an interest rate (CD). The interest received on these deposit accounts is measured in annual percentage yields. In this case, the one that gives the best rate is the best option to choose.
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Answer:
Tom should choose the bank that offers the highest interest rate on savings accounts. Since the principal and time would be the same for each bank, the higher the interest rate, the more money Tom would earn.
Step-by-step explanation:
this was the sample answer on edge. I hate edge
a circle has the diameter of 42 what is the circumference of that circle
Answer: 132
Step-by-step explanation:
C=2\(\pi\)r
C=2\(\pi\)21
C=131.88
.5(x+4)=12 help plssssssssssssssssssssssssss
Answer:
\(\frac{-13}{5}\) or -2.6
Step-by-step explanation:
To do this you would first have the equation \(5(x+4)=12\) and then you could multiply the x+5 by 5 which is 5x+25 so then your equation would be \(5x+25=12\) then you would subtract 25 from both sides to cancel out the 25 so then your equation would look like this \(5x=-13\) then you would divide from both sides to just get x so you would get \(x=\frac{-13}{5}\) so you could leave it as is or you could turn it into a decimal which is -2.6
Which statement correctly describes this picture?
PLZ HELP 100 POINTS AND DONT BE MEAN
Answer:
Full drum 80 dollars
one lid missing
earn 10 dollars less
Step-by-step explanation:
We need to find the surface area
SA = 2 pi r^2 + 2 pi rh
The diameter is 2 so the radius = 2/2 =1
SA = 2 * pi * 1^2 + 2 * pi * 1 * 3
= 2 pi + 6pi
= 8pi
Using pi = 3.14
SA = 8 *3.14 = 25.12 ft^2
We get 3.18 per ft^2
25.12 * 3.18 =79.88
To the nearest dollar
80 dollars
If one of the lids is missing
SA = pi r^2 + 2 pi rh
pi + 6pi
7 pi
Using pi = 3.14
SA = 7 *3.14 = 21.98 ft^2
We get 3.18 per ft^2
21.98 * 3.18 =69.90
To the nearest dollar
70
The difference is 10 dollars
Answer:
\(\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}\)
\(\rule[225]{225}{2}\)
Step-by-step explanation:
Surface area of the cylinder :
2πr² + 2πrh
The diameter is 2 ft, so the radius is 1 ft.
⇒ 2π(1)² + 2π(1)(3)
⇒ 8π ≈ 25.13
$3.18 is getting payed per square foot.
⇒ 25.13 × 3.18
⇒ 79.9221171073 ≈ 80
If the lid was missing:
πr² + 2πrh
π(1)² + 2π(1)(3)
7π ≈ 21.99
$3.18 is getting payed per square foot.
⇒ 21.99 × 3.18
⇒ 69.9318524689 ≈ 70
The difference :
80 - 70 = 10
$10 less if the lid is missing.
\(\rule[225]{225}{2}\)
A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?
Step-by-step explanation:
Let +a+ = liters of 40% solution needed
Let +b+ = liters of 25% solution needed
+.4a+ = liters of HN03 in 40% solution
+.25b+ = liters of HN03 in 25% solution
------------------------------------
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(2) +a+%2B+b+=+57+
-----------------
(1) +.4a+%2B+.25b+=+.26%2A57+
(1) +.4a+%2B+.25b+=+14.82+
(1) +40a+%2B+25b+=+1482+
Multiply both sides of (2) by +25+
and subtract (2) from (1)
(1) +40a+%2B+25b+=+1482+
(2) +-25a+-+25b+=+-1425+
+15a+=+57+
+a+=+3.8+
and, since
(2) +a+%2B+b+=+57+
(2) +3.8+%2B+b+=+57+
(2) +b+=+53.2+
3.8 liters of 40% solution are needed
53.2 liters of 25% solution are needed
check:
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+
(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+
(1) +14.82+=+.26%2A57+
(1) +14.82+=+14.82+
think you should got the answer
POQ is a straight line .The adjacent angles are three consecutive numbers. what are the measure of the angle
you need to paint office 143. if one gallon of paint covers 50 sf, how many gallons of pant will you need?
To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.
Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.
Let's assume the square footage of office 143 is 800 square feet.
Number of gallons needed = Square footage / Coverage rate per gallon
Number of gallons needed = 800 square feet / 50 square feet per gallon
Number of gallons needed = 16 gallons
Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.
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The distance it takes a truck to stop can be modeled by the function Image description d = stopping distance in feet v = initial velocity in miles per hour f = a constant related to friction When the truck's initial velocity on dry pavement is 40 mph, its stopping distance is 138 ft. Determine the value of f, rounded to the nearest hundredth.
Answer: 0.39
Step-by-step explanation:
We are required to determine the the value of f, rounded to the nearest hundredth
The value of f, rounded to the nearest hundredth is 0.39
Given function:
\(d(v) = \frac{2.15 {v}^{2} }{64.4f} \)
Where,
d = stopping distance in feet
v = initial velocity in miles per hour
f = a constant related to friction
When
v = 40 mph
d = 138 ft
f = ?
\(d(v) = \frac{2.15 {v}^{2} }{64.4f} \)
\(138= \frac{2.15 {(40)}^{2} }{64.4f} \)
138(64.4f) = 2.15(1600)
8,887.2f = 3440
f = 3440 / 8,887.2
f = 0.3870735439733
Approximately to the nearest hundredth f = 0.39
Therefore, the value of f, rounded to the nearest hundredth is 0.39
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Plz help its due in 20 min
The length of a rectangle is 8 more than 3 times the width. If the rectangle has a perimeter of 64 inches, find the length and width.
Answer:
Step-by-step explanation:
let the width=x
length=3x+8
perimeter=2[3x+8+x]
=2[4x+8]
=8(x+2)
8(x+2)=64
x+2=64/8=8
x=8-2=6
width= 6 in
length=3(6)+8=26 in
Using a local telephone book to select a simple random sample could introduce _____ bias.
Answer:
Undercoverage
Step-by-step explanation:
Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.
I hope it helps! Have a great day!
What is the value of Z in the diagram below?
Answer:
Step-by-step explanation:180+59 then half the anwser
Find the derivative of the function with solutions.y = In( e^(3 - x^2 ) + 9 ))
Answer:
\(\frac{dy}{dx}=-\frac{2xe^{3-x^2}}{e^{3-x^2}+9}\)Explanation:
We were given the function:
\(y=\ln\left(e^{3-x^2}+9\right)\)We are to find the derivative of this function, we have it shown below:
\(\begin{gathered} y=\operatorname{\ln}(e^{3-x^{2}}+9) \\ If:y=ln(u) \\ Then:y^{\prime}=\frac{u^{\prime}}{u} \\ y^{\prime}=\frac{dy}{dy} \\ u=e^{3-x^2}+9 \\ u^{\prime}=-2xe^{3-x^2} \\ y^{\prime}=\frac{u^{\prime}}{u} \\ \Rightarrow y^{\prime}=\frac{-2xe^{3-x^2}}{e^{3-x^2}+9} \\ But:y^{\prime}=\frac{dy}{dx} \\ \frac{dy}{dx}=-\frac{2xe^{3-x^2}}{e^{3-x^2}+9} \\ \\ \therefore\frac{dy}{dx}=-\frac{2xe^{3-x^2}}{e^{3-x^2}+9} \end{gathered}\)What is the answer to this question?
Answer:
≈ 3.9 miles
Step-by-step explanation:
The third angle in the triangle is
180° - (53 + 78)° = 180° - 131° = 49°
Using the Sine rule in the triangle with distance from 2 being x, then
\(\frac{3}{sin49}\) = \(\frac{x}{sin78}\) ( cross- multiply )
x × sin49° = 3 × sin78° ( divide both sides by sin49° )
x = \(\frac{3sin78}{sin49}\) ≈ 3.9 ( to the nearest tenth )
A conical cup is 4cm across and 8cm deep. Water leaks out of the bottom at the rate of 3cm^(3)/s. What is the rate of change of the water's level when the height of the water is 4cm? Please enter your answer in decimal format with three significant digits after the decimal point.
The rate of change of the water's level when the height of the water is 4cm is approximately 0.030 cm/s. This can be solved by the concept of Surface area and volume.
Let's first find the volume of water in the conical cup when the height of the water is 4cm. We know that the volume of a cone is given by the formula V = (1/3)πr^2h, where r is the radius of the base, h is the height, and π is a constant approximately equal to 3.14.
In this case, the radius of the base is half the width of the cup, so r = 2cm. The height of the water is 4cm, so h = 4cm. Therefore, the volume of water in the cup is V = (1/3)π(2cm)^2(4cm) = 16.76 cm^3 (rounded to two decimal places).
We know that water is leaking out of the bottom of the cup at a rate of 3cm^3/s. Therefore, the rate of change of the volume of water in the cup is -3cm^3/s (negative because the volume is decreasing).
We want to find the rate of change of the water's level, which we can call dh/dt. We can use related rates to find this. We know that the volume of water in the cup is decreasing at a rate of -3cm^3/s, and we want to find the rate of change of the height of the water, dh/dt, when the height is 4cm.
Using the formula for the volume of a cone, we can solve for h in terms of V:
V = (1/3)πr^2h
3V = πr^2h
h = (3V)/(πr^2)
Now we can differentiate both sides with respect to time:
dh/dt = (3/πr^2)(dV/dt)
Substituting in the values we found earlier, we get:
dh/dt = (3/π(2cm)^2)(-3cm^3/s)
dh/dt = -0.030 cm/s
Therefore, the rate of change of the water's level when the height of the water is 4cm is approximately 0.030 cm/s.
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Use a change of variables or the accompanying table to evaluate the following definite integral. sinx J 4+ cos x x Click the icon to view the table of general integration formulas. Determine a change of variables from x to u. Choose the correct answer below. O A. u= 4+ cos x O B. u= cos x OC. U 4+ cos x OD. u=sin x Write the integral in terms of u. 7 I sinx J 4+ cos x dx = J O du Evaluate the integral. sin x J 4+ cos x dx=0 (Type an exact answer.) Click to select your answer(s)
The integral we are trying to solve is int sin x , dx, with a change of variables or the accompanying table. The first step is to determine the change of variables from x to u. In this case, we will use the substitution u=4+cos x. With this substitution, we can rewrite the integral as \int \sin x \, du.
Next, we can use the table of general integration formulas to evaluate the integral. The formula for int sin x , du is cos x + C, where C is a constant of integration. Plugging in our substitution, we have cos (4+cos x) + C.
Finally, we can evaluate the integral by solving for C. We can do this by setting the equation equal to 0, since we are evaluating a definite integral. This yields C=cos (4+cos x), so the answer to the integral is cos (4+cos x).
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A boutique owner sells a salt scrub that is made of a tropical oil blend costing $7.95 per ounce and sea salt costing $1.45 per ounce. The salt scrub ultimately costs $3.40 per ounce. In order to make a new batch of the salt scrub, she just ordered 6 ounces of the tropical oil blend. How many ounces of sea salt will she need to make the salt scrub with the correct proportions?
Answer:
14
Step-by-step explanation:
7.95\cdot 6+1.45\cdot \:x=\left(6+x\right)3.4
x=14
Can someone explain how to do this?
Answer:
20 6 12 38
5 20 7 32
25 26 19 70